Division B
Acceptable Solutions

Part 4 — Structural Design

Section 4.1. Structural Loads and Procedures

4.1.1. General

(See User’s Guide - NBC 2010, Structural Commentaries (Part 4 of Division B).)

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4.1.1.1. Scope
1) Intent StatementThe scope of this Part shall be as described in Subsection 1.3.3. of Division A.
4.1.1.2. Definitions
1) Intent StatementWords that appear in italics in this Part are defined in Article 1.4.1.2. of Division A.
4.1.1.3. Design Requirements
1) Intent StatementBuildings and their structural members and connections, including formwork and falsework, shall be designed to have sufficient structural capacity and structural integrity to safely and effectively resist all loads, effects of loads and influences that may reasonably be expected, having regard to the expected service life of buildings, and shall in any case satisfy the requirements of this Section. (See Appendix A.)
2) Intent StatementBuildings and their structural members shall be designed for serviceability, in accordance with Articles 4.1.3.4., 4.1.3.5. and 4.1.3.6. (See Appendix A.)
3) Intent StatementAll permanent and temporary structural members, including the formwork and falsework of a building, shall be protected against loads exceeding the specified loads during the construction period except when, as verified by analysis or test, temporary overloading of a structural member would result in no impairment of that member or any other member.
4) Intent StatementFalsework, scaffolding, and formwork shall be designed in conformance with
5) Intent StatementPrecautions shall be taken during all phases of construction to ensure that the building is not damaged or distorted due to loads applied during construction.
4.1.1.4. Structural Drawings and Related Documents
1) Intent StatementStructural drawings and related documents shall conform to the appropriate requirements of Section 2.2. of Division C. (See Subsection 2.2.4. of Division C.)
4.1.1.5. Design Basis
1) Intent StatementExcept as provided in Sentence (2), buildings and their structural members shall be designed in conformance with the procedures and practices provided in this Part.
2) Intent StatementProvided the design is carried out by a person especially qualified in the specific methods applied and provided the design demonstrates a level of safety and performance in accordance with the requirements of Part 4, buildings and their structural components falling within the scope of Part 4 that are not amenable to analysis using a generally established theory may be designed by
a) evaluation of a full-scale structure or a prototype by a loading test, or
b) studies of model analogues.
(See Appendix A.)

4.1.2. Specified Loads and Effects

(See User’s Guide - NBC 2010, Structural Commentaries (Part 4 of Division B).)

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4.1.2.1. Loads and Effects
(See Appendix A.)
1) Intent StatementExcept as provided in Article 4.1.2.2., the following categories of loads, specified loads and effects shall be taken into consideration in the design of a building and its structural members and connections:
Ddead load – a permanent load due to the weight of building components, as specified in Subsection 4.1.4.,
Eearthquake load and effects – a rare load due to an earthquake, as specified in Subsection 4.1.8.,
Ha permanent load due to lateral earth pressure, including groundwater,
Llive load – a variable load due to intended use and occupancy (including loads due to cranes and the pressure of liquids in containers), as specified in Subsection 4.1.5.,
change beginLXClive load exclusive of crane loads,
Clive load due to cranes including self weight,
Cdself weight of all cranes positioned for maximum effects,
C7crane bumper impact load,change end
Ppermanent effects caused by pre-stress,
Svariable load due to snow, including ice and associated rain, as specified in Article 4.1.6.2., or due to rain, as specified in Article 4.1.6.4.,
Teffects due to contraction, expansion, or deflection caused by temperature changes, shrinkage, moisture changes, creep, ground settlement, or a combination thereof (see Appendix A), and
Wwind load – a variable load due to wind, as specified in Subsection 4.1.7.,
where
a) load means the imposed deformations (i.e. deflections, displacements or motions that induce deformations and forces in the structure), forces and pressures applied to the building structure,
b) permanent load is a load that changes very little once it has been applied to the structure, except during repair,
c) variable load is a load that frequently changes in magnitude, direction or location, and
d) rare load is a load that occurs infrequently and for a short time only.
2) Intent StatementMinimum specified values of the loads described in Sentence (1), as set forth in Subsections 4.1.4. to 4.1.8., shall be increased to account for dynamic effects where applicable.
3) Intent StatementFor the purpose of determining specified loads S, W or E in Subsections 4.1.6., 4.1.7. and 4.1.8., buildings shall be assigned an Importance Category based on intended use and occupancy, in accordance with Table 4.1.2.1. (See Appendix A.)
Table 4.1.2.1.
Importance Categories for Buildings
Forming part of Sentence 4.1.2.1.(3)

Use and Occupancy

Importance Category

Buildings that represent a low direct or indirect hazard to human life in the event of failure, including:

  • low human-occupancy buildings, where it can be shown that collapse is not likely to cause injury or other serious consequences
  • minor storage buildings

Low(1)

All buildings except those listed in Importance Categories Low, High and Post-disaster

Normal

Buildings that are likely to be used as post-disaster shelters, including buildings whose primary use is:

  • as an elementary, middle or secondary school
  • as a community centre
Manufacturing and storage facilities containing toxic, explosive or other hazardous substances in sufficient quantities to be dangerous to the public if released(1)

High

Post-disaster buildings are buildings that are essential to the provision of services in the event of a disaster, and include:

  • hospitals, emergency treatment facilities and blood banks
  • telephone exchanges
  • power generating stations and electrical substations
  • control centres for air, land and marine transportation
  • public water treatment and storage facilities, and pumping stations
  • sewage treatment facilities
  • change beginbuildings having critical national defence functionschange end
  • buildings of the following types, unless exempted from this designation by the authority having jurisdiction:(2)
    • emergency response facilities
    • fire, rescue and police stations, and housing for vehicles, aircraft or boats used for such purposes
    • communications facilities, including radio and television stations

Post-disaster
Notes to Table 4.1.2.1.:

(1) See Appendix A.
(2) See A-1.4.1.2.(1), Post-disaster Buildings, in Appendix A of Division A.

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4.1.2.2. Loads Not Listed
1) Intent StatementWhere a building or structural member can be expected to be subjected to loads, forces or other effects not listed in Article 4.1.2.1., such effects shall be taken into account in the design based on the most appropriate information available.

4.1.3. Limit States Design

change begin(See Appendix A.)change end
4.1.3.1. Definitions
1) Intent StatementIn this Subsection, the term
a) limit states means those conditions of a building structure that result in the building ceasing to fulfill the function for which it was designed (those limit states concerning safety are called ultimate limit states (ULS) and include exceeding the load-carrying capacity, overturning, sliding and fracture; those limit states that restrict the intended use and occupancy of the building are called serviceability limit states (SLS) and include deflection, vibration, permanent deformation and local structural damage such as cracking; and those limit states that represent failure under repeated loading are called fatigue limit states),
b) specified loads (change beginC,change end D, E, H, L, P, S, T and W) means those loads defined in Article 4.1.2.1.,
c) principal load means the specified variable load or rare load that dominates in a given load combination,
d) companion load means a specified variable load that accompanies the principal load in a given load combination,
e) service load means a specified load used for the evaluation of a serviceability limit state,
f) principal-load factor means a factor applied to the principal load in a load combination to account for the variability of the load and load pattern and the analysis of its effects,
g) companion-load factor means a factor that, when applied to a companion load in the load combination, gives the probable magnitude of a companion load acting simultaneously with the factored principal load,
h) importance factor, I, means a factor applied in Subsections 4.1.6., 4.1.7. and 4.1.8. to obtain the specified load and take into account the consequences of failure as related to the limit state and the use and occupancy of the building,
i) factored load means the product of a specified load and its principal-load factor or companion-load factor,
j) effects refers to forces, moments, deformations or vibrations that occur in the structure,
k) nominal resistance, R, of a member, connection or structure, is based on the geometry and on the specified properties of the structural materials,
l) resistance factor, φ, means a factor applied to a specified material property or to the resistance of a member, connection or structure, and that, for the limit state under consideration, takes into account the variability of dimensions and material properties, workmanship, type of failure and uncertainty in the prediction of resistance, and
m) factored resistance, φR, means the product of nominal resistance and the applicable resistance factor.
4.1.3.2. Strength and Stability
1) Intent StatementA building and its structural components shall be designed to have sufficient strength and stability so that the factored resistance, φR, is greater than or equal to the effect of factored loads, which shall be determined in accordance with Sentence 4.1.3.2.(2).
2) Intent Statementchange beginExcept as provided in Sentence (3)change end, the effect of factored loads for a building or structural component shall be determined in accordance with change beginthe requirements of this Article and the following load combination cases,change end the applicable combination being that which results in the most critical effect:
a) change beginfor load cases without crane loads, the load combinations listed in Table 4.1.3.2.A, andchange end
b) change beginfor load cases with crane loads, the load combinations listed in Table 4.1.3.2.Bchange end.
(See Appendix A.)
3) Intent Statementchange beginOther load combinations that must also be considered are the principal loads acting with the companion loads taken as zero.change end
4) Intent StatementWhere the effects due to lateral earth pressure, H, restraint effects from pre-stress, P, and imposed deformation, T, affect the structural safety, they shall be taken into account in the calculations, with load factors of 1.5, 1.0 and 1.25 assigned to H, P and T respectively. (See Appendix A.)
5) Intent StatementExcept as provided in Sentence 4.1.8.16.(1), the counteracting factored dead load—0.9D in load combination cases 2, 3 and 4 and 1.0D in load combination case 5 change beginin Table 4.1.3.2.A, and 0.9D in load combination cases 1 to 5 and 1.0D in load combination case 6 in Table 4.1.3.2.Bchange end—shall be used when the dead load acts to resist overturning, uplift, sliding, failure due to stress reversal, and to determine anchorage requirements and the factored resistance of members. (See Appendix A.)
6) Intent StatementThe principal-load factor 1.5 for live loads L in Table 4.1.3.2.A change beginand LXC in Table 4.1.3.2.Bchange end may be reduced to 1.25 for liquids in tanks.
7) Intent StatementThe companion-load factor 0.5 for live loads L in Table 4.1.3.2.A change beginand LXC in Table 4.1.3.2.Bchange end shall be increased to 1.0 for storage areas, and equipment areas and service rooms referred to in Table 4.1.5.3.
Table 4.1.3.2.A
Load Combinations change beginWithout Crane Loadschange end for Ultimate Limit States
Forming part of Sentences 4.1.3.2.(2) and (5) to (10)
Casechange end

Load Combination(1)

Principal Loads

Companion Loads

1

1.4Dchange endchange begin(2)change end

2

(1.25Dchange end(3) or 0.9Dchange end(4)) + 1.5Lchange end(5)

0.5S(6) or 0.4W

3

(1.25D(3) or 0.9D(4)) + 1.5S

0.5L(6)(7) or 0.4W

4

(1.25D(3) or 0.9D(4) ) + 1.4W

0.5Lchange end(7) or 0.5S

5

1.0D(4) + 1.0Echange end(8)

0.5L(6)(7) + 0.25S(6)

Notes to Table 4.1.3.2.A:

(1) See Sentences 4.1.3.2.(2), (3) change beginand (4)change end.
(2) change beginSee Sentence 4.1.3.2.(9).change end
(3) See change beginSentence 4.1.3.2.(8).change end
(4) See change beginSentence 4.1.3.2.(5)change end.
(5) See change beginSentence 4.1.3.2.(6).change end
(6) See Article 4.1.5.5.
(7) See change beginSentence 4.1.3.2.(7)change end.
(8) See change beginSentence 4.1.3.2.(10)change end.
Table 4.1.3.2.B
Load Combinations With Crane Loads for Ultimate Limit States
Forming part of Sentences 4.1.3.2.(2), (5) to (8), and (10)
Case

Load Combination(1)

Principal Loads Companion Loads
1

(1.25D(2) or 0.9D(3)) + (1.5C + 1.0LXC)

1.0S(4) or 0.4W

2

(1.25D(2) or 0.9D(3)) + (1.5LXC(5) + 1.0C)

0.5S(4) or 0.4W

3

(1.25D(2) or 0.9D(3)) + 1.5S

(1.0C + 0.5LXC(4)(6))

4

(1.25D(2) or 0.9D(3)) + 1.4W

(1.0C(7) + 0.5LXC(4)(6))

5

(1.25D(2) or 0.9D(3)) + C7

6

1.0D(3) + 1.0E(8)

1.0Cd + 0.5LXC(4)(6)+ 0.25S(4)

Notes to Table 4.1.3.2.B:

(1) See Sentences 4.1.3.2.(2), (3) and (4).
(2) See Sentence 4.1.3.2.(8).
(3) See Sentence 4.1.3.2.(5).
(4) See Article 4.1.5.5.
(5) See Sentence 4.1.3.2.(6).
(6) See Sentence 4.1.3.2.(7).
(7) Side thrust due to cranes need not be combined with full wind load.
(8) See Sentence 4.1.3.2.(10).
8) Intent Statementchange beginExcept as provided in Sentence (9),change end the load factor 1.25 for dead load, D, for soil, superimposed earth, plants and trees given in change beginTables 4.1.3.2.A and 4.1.3.2.Bchange end shall be increased to 1.5, except that when the soil depth exceeds 1.2 m, the factor may be reduced to 1 + 0.6/hs but not less than 1.25, where hs is the depth of soil in metres supported by the structure.
9) Intent Statementchange beginA principal-load factor of 1.5 shall be applied to the weight of saturated soil used in load combination case 1 of Table 4.1.3.2.A.change end
10) Intent StatementEarthquake load, E, in load combination cases 5 of Table 4.1.3.2.A change beginand 6 of Table 4.1.3.2.Bchange end includes horizontal earth pressure due to earthquake determined in accordance with Sentence 4.1.8.16.(4).
11) Intent StatementProvision shall be made to ensure adequate stability of the structure as a whole and adequate lateral, torsional and local stability of all structural parts.
12) Intent StatementSway effects produced by vertical loads acting on the structure in its displaced configuration shall be taken into account in the design of buildings and their structural members.
4.1.3.3. Fatigue
1) Intent StatementA building and its structural components, including connections, shall be checked for fatigue failure under the effect of cyclical loads, as required in the standards listed in Section 4.3. (See Appendix A.)
2) Intent StatementWhere vibration effects, such as resonance and fatigue resulting from machinery and equipment, are likely to be significant, a dynamic analysis shall be carried out. (See Appendix A.)
4.1.3.4. Serviceability
1) Intent StatementA building and its structural components shall be checked for serviceability limit states as defined in Clause 4.1.3.1.(1)(a) under the effect of service loads for serviceability criteria specified or recommended in Articles 4.1.3.5. and 4.1.3.6. and in the standards listed in Section 4.3. (See Appendix A.)
4.1.3.5. Deflection
1) Intent StatementIn proportioning structural members to limit serviceability problems resulting from deflections, consideration shall be given to
a) the intended use of the building or member,
b) limiting damage to non-structural members made of materials whose physical properties are known at the time of design,
c) limiting damage to the structure itself, and
d) creep, shrinkage, temperature changes and pre-stress.
(See Appendix A.)
2) Intent StatementThe lateral deflection of buildings due to service wind and gravity loads shall be checked to ensure that structural elements and non-structural elements whose nature is known at the time the structural design is carried out will not be damaged.
3) Intent StatementExcept as provided in Sentence (4), the total drift per storey under service wind and gravity loads shall not exceed 1/500 of the storey height unless other drift limits are specified in the design standards referenced in Section 4.3. (See Appendix A.)
4) Intent StatementThe deflection limits required in Sentence (3) do not apply to industrial buildings or sheds if experience has proven that greater movement will have no significant adverse effects on the strength and function of the building.
5) Intent StatementThe building structure shall be designed for lateral deflection due to E, in accordance with Article 4.1.8.13.
4.1.3.6. Vibration
1) Intent StatementFloor systems susceptible to vibration shall be designed so that vibrations will have no significant adverse effects on the intended occupancy of the building. (See Appendix A.)
2) Intent StatementWhere the fundamental vibration frequency of a structural system supporting an assembly occupancy used for rhythmic activities, such as dancing, concerts, jumping exercises or gymnastics, is less than 6 Hz, the effects of resonance shall be investigated by means of a dynamic analysis. (See Appendix A.)
3) Intent StatementA building susceptible to lateral vibration under wind load shall be designed in accordance with Article 4.1.7.2. so that the vibrations will have no significant adverse effects on the intended use and occupancy of the building. (See Appendix A.)

4.1.4. Dead Loads

4.1.4.1. Dead Loads
1) Intent StatementThe specified dead load for a structural member consists of
a) the weight of the member itself,
b) the weight of all materials of construction incorporated into the building to be supported permanently by the member,
c) the weight of partitions,
d) the weight of permanent equipment, and
e) the vertical load due to earth, plants and trees.
2) Intent StatementExcept as provided in Sentence (5), in areas of a building where partitions other than permanent partitions are shown on the drawings, or where partitions might be added in the future, allowance shall be made for the weight of such partitions.
3) Intent StatementThe partition weight allowance referred to in Sentence (2) shall be determined from the actual or anticipated weight of the partitions placed in any probable position, but shall be not less than 1 kPa over the area of floor being considered.
4) Intent StatementPartition loads used in design shall be shown on the drawings as provided in Clause 2.2.4.3.(1)(d) of Division C.
5) Intent StatementIn cases where the dead load of the partition is counteractive, the load allowances referred to in Sentences (2) and (3) shall not be included in the design calculations.
6) Intent StatementExcept for structures where the dead load of soil is part of the load-resisting system, where the dead load due to soil, superimposed earth, plants and trees is counteractive, it shall not be included in the design calculations. (See Appendix A.)

4.1.5. Live Loads Due to Use and Occupancy

(See User’s Guide - NBC 2010, Structural Commentaries (Part 4 of Division B).)

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4.1.5.1. Loads Due to Use of Floors and Roofs
1) Intent StatementExcept as provided in Sentence (2), the specified live load on an area of floor or roof depends on the intended use and occupancy, and shall not be less than either the uniformly distributed load patterns listed in Article 4.1.5.3., the loads due to the intended use change beginand occupancychange end, or the concentrated loads listed in Article 4.1.5.9., whichever produces the most critical effect. change begin(See Appendix A.)change end
2) Intent StatementFor buildings in the Low Importance Category as described in Table 4.1.2.1., a factor of 0.8 may be applied to the live load.
4.1.5.2. Uses Not Stipulated
1) Intent StatementExcept as provided in Sentence (2), where the use of an area of floor or roof is not provided for in Article 4.1.5.3., the specified live loads due to the use and occupancy of the area shall be determined from an analysis of the loads resulting from the weight of
a) the probable assembly of persons,
b) the probable accumulation of equipment and furnishings, and
c) the probable storage of materials.
2) Intent StatementFor buildings in the Low Importance Category as described in Table 4.1.2.1., a factor of 0.8 may be applied to the live load.
4.1.5.3. Full and Partial Loading
1) Intent StatementThe uniformly distributed live load shall be not less than the value listed in Table 4.1.5.3., which may be reduced as provided in Article 4.1.5.8., applied uniformly over the entire area or on any portions of the area, whichever produces the most critical effects in the members concerned.
Table 4.1.5.3.
Specified Uniformly Distributed Live Loads on an Area of Floor or Roof
Forming part of Sentence 4.1.5.3.(1)
Use of Area of Floor or Roof Minimum Specified Load, kPa
Assembly Areas 4.8

a) Except for the areas listed under b), c), change begind) and e),change end assembly areas with or without fixed seats including

Arenaschange begin(1) (areas without fixed seats that have backs)change end
Auditoria
Churches change begin(areas without fixed seats that have backs)change end
Dance floors
Dining areas(2)
Foyers and entrance halls
Grandstandschange begin(1) (areas without fixed seats that have backs),change end reviewing stands and bleachers
Gymnasia
change beginLecture halls(1) (areas without fixed seats that have backs)change end
Museums
Promenades
Rinks
Stadiachange begin(1) (areas without fixed seats that have backs)change end
Theatreschange begin(areas without fixed seats that have backs)change end
Other areas with similar uses

b) Classrooms change beginand courtroomschange end with or without fixed seatschange begin(1)change end

2.4

change beginc) Portions of assembly areas with fixed seats that have backs for the following uses:change end

change begin2.9(1)change end

change beginArenaschange end
change beginGrandstandschange end
change beginStadiachange end

change begind) Portions of assembly areas with fixed seats that have backs for the following uses:change end

change begin2.4change end

change beginChurcheschange end
change beginLecture halls(1)change end
change beginTheatreschange end

change begine) Vomitories, exits, lobbies and corridors(1)change end

change begin4.8change end

Atticschange begin(1)change end  
Accessible by a stairway in residential occupancies only 1.4
Having limited accessibility so that there is no storage of equipment or material 0.5
Balconies  
Exterior 4.8
Interior and mezzanines that could be used by an assembly of people as a viewing area(1) 4.8
Interior and mezzanines other than above

(3)

Corridors, lobbies and aisleschange begin(1)change end  
Other than those listed below 4.8
Not more than 1 200 mm in width and all upper floor corridors of residential areas only of apartments, hotels and motels (that cannot be used by an assembly of people as a viewing area)(1)

(1)(3)

Equipment areas and service rooms including

change end

3.6(4)

Generator rooms
Mechanical equipment exclusive of elevators
Machine rooms
Pump rooms
Transformer vaults
Ventilating or air-conditioning equipment

Exits and fire escapes

4.8
Factories

6.0(4)

Footbridges 4.8
Garages for  
change beginVehicles not exceeding 4 000 kg gross weightchange end 2.4
change beginVehicles exceeding 4 000 kg but not exceeding 9 000 kg gross weightchange end 6.0
change beginVehicles exceeding 9 000 kg gross weightchange end

12.0change begin(1)change end

Kitchens (other than residential) 4.8
Libraries  
Stack rooms 7.2
Reading and study rooms 2.9
Office areas (not including record storage and computer rooms) located in  
Basement and the first storey 4.8
Floors above the first storey 2.4
Operating rooms and laboratories 3.6
Patients' bedrooms 1.9
Recreation areas that cannot be used for assembly purposes including 3.6
Billiard rooms
Bowling alleys
Pool rooms
Residential areas (within the scope of Article 1.3.3.2. of Division A)  
Sleeping and living quarters in apartments, hotels, motels, boarding schools and colleges 1.9
Residential areas (within the scope of Article 1.3.3.3. of Division A)  
Bedrooms

1.9

Other areas 1.9
Stairs within dwelling units 1.9
Retail and wholesale areas 4.8
Roofs

1.0change begin(1)change end(5)

Sidewalks and driveways over areaways and basements

12.0change begin(1)(5)change end

Storage areas

4.8(4)

Toilet areas 2.4
Underground slabs with earth cover

(5)

Warehouses

4.8(4)

Notes to Table 4.1.5.3.:

(1) See Appendix A.
(2) See Article 4.1.5.6.
(3) See Article 4.1.5.4.
(4) change beginSee Sentence 4.1.5.1.(1).change end
(5) See Article 4.1.5.5.
4.1.5.4. Loads for Occupancy Served
1) Intent StatementThe following shall be designed to carry not less than the specified load required for the occupancy they serve, provided they cannot be used by an assembly of people as a viewing area:
a) corridors, lobbies and aisles not more than 1 200 mm wide,
b) all corridors above the first storey of residential areas of apartments, hotels and motels, and
c) interior balconies and mezzanines.
4.1.5.5. Loads on Exterior Areas
change begin(See Appendix A.)change end
1) Intent StatementExterior areas accessible to vehicular traffic shall be designed for their intended use, including the weight of firefighting equipment, but not for less than the snow and rain loads prescribed in Subsection 4.1.6.
2) Intent StatementExcept as provided in Sentences (3) and (4), roofs shall be designed for either the uniform live loads specified in Table 4.1.5.3., the concentrated live loads listed in change beginTable 4.1.5.9.change end, or the snow and rain loads prescribed in Subsection 4.1.6., whichever produces the most critical effects in the members concerned.
3) Intent StatementExterior areas accessible to pedestrian traffic, but not vehicular traffic, shall be designed for their intended use, but not for less than the greater of
a) the live load prescribed for assembly areas in Table 4.1.5.3., or
b) the snow and rain loads prescribed in Subsection 4.1.6.
4) Intent StatementRoof parking decks shall be designed for either the uniformly distributed live loads specified in Table 4.1.5.3., the concentrated live loads listed in change beginTable 4.1.5.9.change end, or the roof snow load, whichever produces the most critical effect in the members concerned.
4.1.5.6. Loads for Dining Areas
1) Intent StatementThe minimum specified live load listed in Table 4.1.5.3. for dining areas may be reduced to 2.4 kPa for areas in buildings that are being converted to dining areas, provided that the floor area does not exceed 100 m2 and the dining area will not be used for other assembly purposes, including dancing.
4.1.5.7. More Than One Occupancy
1) Intent StatementWhere an area of floor or roof is intended for 2 or more occupancies at different times, the value to be used from Table 4.1.5.3. shall be the greatest value for any of the occupancies concerned.
4.1.5.8. Variation with Tributary Area
change begin(See Appendix A.)change end
1) Intent StatementAn area used for assembly occupancies designed for a live load of less than 4.8 kPa and roofs designed for the minimum loading specified in Table 4.1.5.3. shall have no reduction for tributary area.
2) Intent StatementWhere a structural member supports a tributary area of a floor or a roof, or a combination thereof, that is greater than 80 m2 and either used for assembly occupancies designed for a live load of 4.8 kPa or more, or used for storage, manufacturing, retail stores, garages or as a footbridge, the specified live load due to use and occupancy is the load specified in Article 4.1.5.3. multiplied by
where A is the tributary area in square metres for this type of use and occupancy.
3) Intent StatementWhere a structural member supports a tributary area of a floor or a roof, or a combination thereof, that is greater than 20 m2 and used for any use or occupancy other than those indicated in Sentences (1) and (2), the specified live load due to use and occupancy is the load specified in Article 4.1.5.3. multiplied by
where B is the tributary area in square metres for this type of use and occupancy.
4) Intent StatementWhere the specified live load for a floor is reduced in accordance with Sentence 4.1.5.8.(2) or (3), the structural drawings shall indicate that a live load reduction factor for tributary area has been applied.
4.1.5.9. Concentrated Loads
1) Intent StatementThe specified live load due to possible concentrations of load resulting from the use of an area of floor or roof shall not be less than that listed in Table 4.1.5.9. applied over change beginthe loaded area noted andchange end located so as to cause maximum effects, except that for occupancies not listed in Table 4.1.5.9., the concentrations of load shall be determined in accordance with Article 4.1.5.2.
Table 4.1.5.9.
Specified Concentrated Live Loads on an Area of Floor or Roof
Forming part of Sentence 4.1.5.9.(1)
Area of Floor or Roof Minimum Specified Concentrated Load, kN change beginLoaded Area, mm x mmchange end
Roof surfaces 1.3 change begin200 x 200change end
Floors of classrooms 4.5 change begin750 x 750change end
Floors of offices, manufacturing buildings, hospital wards and stages 9.0 change begin750 x 750change end
Floors and areas used by vehicles not exceeding change begin4 000 kgchange end gross weight 18 change begin120 x 120change end
Floors and areas used by vehicles exceeding change begin4 000 kgchange end but not exceeding 9 000 kg gross weight 36 change begin120 x 120change end
Floors and areas used by vehicles exceeding 9 000 kg gross weight 54(1)

change begin250 x 600change end(1)

Driveways and sidewalks over areaways and basements 54(1)

change begin250 x 600change end(1)

Notes to Table 4.1.5.9.:

(1) See Appendix A.
4.1.5.10. Sway Forces in Assembly Occupancies
1) Intent StatementThe floor assembly and other structural elements that support fixed seats in any building used for assembly occupancies accommodating large numbers of people at one time, such as grandstands, stadia and theatre balconies, shall be designed to resist a horizontal force equal to not less than 0.3 kN for each metre length of seats acting parallel to each row of seats, and not less than 0.15 kN for each metre length of seats acting at right angles to each row of seats, based on the assumption that these forces are acting independently of each other.
4.1.5.11. Crane-Supporting Structures and Impact of Machinery and Equipment
(See Appendix A.)
1) Intent StatementThe minimum specified load due to equipment, machinery or other objects that may produce impact shall be the sum of the weight of the equipment or machinery and its maximum lifting capacity, multiplied by an appropriate factor listed in change beginTable 4.1.5.11.change end
2) Intent Statementchange beginCrane-supporting structures shall be designed for the appropriate load combinations listed in Article 4.1.3.2.change end
3) Intent StatementCrane runway structures shall be designed to resist a horizontal force applied normal to the top of the rails equal to not less than 20% of the sum of the weights of the lifted load and the crane trolley (excluding other parts of the crane).
4) Intent StatementThe force described in Sentence (3) shall be equally distributed on each side of the runway and shall be assumed to act in either direction.
5) Intent StatementCrane runway structures shall be designed to resist a horizontal force applied parallel to the top of the rails equal to not less than 10% of the maximum wheel loads of the crane.
Table 4.1.5.11.
Factors for the Calculation of Impact Loads
Forming part of Sentence 4.1.5.11.(1)
Cause of Impact Factor
Operation of cab or radio-operated cranes 1.25
Operation of pendant or hand-operated cranes 1.10
Operation of elevatorschange end

(1)

Supports for light machinery, shaft or motor-driven 1.20
Supports for reciprocating machinery (e.g. compressors) 1.50
Supports for power-driven units (e.g. piston engines) 1.50
Notes to Table 4.1.5.11.:

(1) See change beginASME A17.1/CSA B44, “Safety Code for Elevators and Escalators.”change end
4.1.5.12. Bleachers
1) Intent StatementBleacher seats shall be designed for a uniformly distributed live load of 1.75 kN for each linear metre or for a concentrated load of 2.2 kN distributed over a length of 0.75 m, whichever produces the most critical effect on the supporting members.
2) Intent StatementBleachers shall be checked by the erector after erection to ensure that all structural members, including bracing specified in the design, have been installed.
3) Intent StatementTelescopic bleachers shall be provided with locking devices to ensure stability while in use.
4.1.5.13. Helicopter Landing Areas
1) Intent StatementHelicopter landing areas on roofs shall be constructed in conformance with the requirements change beginfor heliportschange end contained in the “Canadian Aviation Regulations – Part III,” published by Transport Canada.
4.1.5.14. Loads on Guards
(See Appendix A.)
1) Intent StatementThe minimum specified horizontal load applied inward or outward at the change beginminimum required heightchange end of every required guard shall be
a) 3.0 kN/m change beginfor open viewing stands without fixed seats andchange end for means of egress in grandstands, stadia, bleachers and arenas,
b) a concentrated load of 1.0 kN applied at any point for access ways to equipment platforms, contiguous stairs and similar areas where the gathering of many people is improbable, and
c) 0.75 kN/m or a concentrated load of 1.0 kN applied at any point, whichever governs for locations other than those described in Clauses (a) and (b).
2) Intent StatementIndividual elements within the guard, including solid panels and pickets, shall be designed for a load of 0.5 kN applied over an area of 100 mm by 100 mm located at any point in the element or elements so as to produce the most critical effect.
3) Intent StatementThe loads required in Sentence (2) need not be considered to act simultaneously with the loads provided for in Sentences (1) and (4).
4) Intent StatementThe minimum specified load applied vertically at the top of every required guard shall be 1.5 kN/m and need not be considered to act simultaneously with the horizontal load provided for in Sentence (1).
5) Intent StatementFor loads on handrails, refer to change beginSentence 3.4.6.5.(12)change end.
4.1.5.15. Loads on Vehicle Guardrails
1) Intent StatementVehicle guardrails shall be designed for a concentrated load of 22 kN applied horizontally outward at any point 500 mm above the floor surface. (See Appendix A.)
4.1.5.16. Loads on Walls Acting As Guards
1) Intent StatementWhere the floor elevation on one side of a wall, including a wall around a shaft, is more than 600 mm higher than the elevation of the floor or ground on the other side, the wall shall be designed to resist the appropriate lateral design loads prescribed elsewhere in this Section or 0.5 kPa, whichever produces the more critical effect.
4.1.5.17. Firewalls
(See Appendix A.)
1) Intent StatementFirewalls shall be designed to resist the maximum effect due to
a) the appropriate lateral design loads prescribed elsewhere in this Section, or
b) a factored lateral load of 0.5 kPa under fire conditions, as described in Sentence (2).
2) Intent StatementUnder fire conditions, where the fire-resistance rating of the structure is less than that of the firewall,
a) lateral support shall be assumed to be provided by the structure on one side only, or
b) another structural support system capable of resisting the loads imposed by a fire on either side of the firewall shall be provided.

4.1.6. Loads Due to Snow and Rain

(See User's Guide - NBC 2010, Structural Commentaries (Part 4 of Division B).)

contentHistory

4.1.6.1. Specified Load Due to Rain or to Snow and Associated Rain
1) Intent StatementThe specified load on a roof or any other building surface subject to snow and associated rain shall be the snow load specified in Article 4.1.6.2., or the rain load specified in Article 4.1.6.4., whichever produces the more critical effect.
4.1.6.2. Specified Snow Load
(See Appendix A.)
1) The specified load, S, due to snow and associated rain accumulation on a roof or any other building surface subject to snow accumulation shall be calculated using the formula change begin
change endwhere
Is= importance factor for snow load as provided in Table 4.1.6.2.,
Ss= 1-in-50-year ground snow load, in kPa, determined in accordance with Subsection 1.1.3.,
Cb= basic roof snow load factor in Sentence (2),
Cw= wind exposure factor in Sentences (3) and (4),
Cs= slope factor in Sentences (5), (6) and (7),
Ca= shape factor in Sentence (8), and
Sr= 1-in-50-year associated rain load, in kPa, determined in accordance with Subsection 1.1.3., but not greater than Ss(C bCwCsCa).

contentHistory

Table 4.1.6.2.
Importance Factor for Snow Load, IS
Forming part of Sentence 4.1.6.2.(1)
Importance Category

Importance Factor, Is

ULS SLS
Low 0.8 0.9
Normal 1 0.9
High 1.15 0.9
Post-disaster 1.25 0.9
2) Intent StatementThe basic roof snow load factor, Cb, shall be 0.8, except that for large roofs it shall be
a) 1.0 - (30/lc)2, for roofs with Cw = 1.0 and lc greater than or equal to 70 m, or
b) 1.3 - (140/lc)2, for roofs with Cw = 0.75 or 0.5 and lc greater than or equal to 200 m,
where
lc= characteristic length of the upper or lower roof, defined as 2w−w2/l, in metres,
w= smaller plan dimension of the roof, in metres,
l= larger plan dimension of the roof, in metres.
3) Intent StatementExcept as provided for in Sentence (4), the wind exposure factor, Cw, shall be 1.0.
4) Intent StatementFor buildings in the Low and Normal Importance Categories as set out in Table 4.1.2.1., the wind exposure factor given in Sentence (3) may be reduced to 0.75, or to 0.5 in exposed areas north of the treeline, where
a) the building is exposed on all sides to wind over open terrain as defined in Clause 4.1.7.1.(5)(a), and is expected to remain so during its life,
b) the area of roof under consideration is exposed to the wind on all sides with no significant obstructions on the roof, such as parapet walls, within a distance of at least 10 times the difference between the height of the obstruction and CbCwSs/ϒ metres, where ϒ is the unit weight of snow on roofs (see Appendix A), and
c) the loading does not involve the accumulation of snow due to drifting from adjacent surfaces.
5) Intent StatementExcept as provided for in Sentences (6) and (7), the slope factor, Cs, shall be
a) 1.0 where the roof slope, ∝, is equal to or less than 30°,
b) (70° − ∝)/40° where ∝ is greater than 30° but not greater than 70°, and
c) 0 where ∝ exceeds 70°.
6) Intent StatementThe slope factor, Cs, for unobstructed slippery roofs where snow and ice can slide completely off the roof shall be
a) 1.0 where the roof slope, ∝, is equal to or less than 15°,
b) (60° − ∝)/45° where ∝ is greater than 15° but not greater than 60°, and
c) 0 where ∝ exceeds 60°.
7) Intent StatementThe slope factor, Cs, shall be 1.0 when used in conjunction with shape factors for increased snow loads as given in Clauses (8)(b) and (e).
8) Intent StatementThe shape factor, Ca, shall be 1.0, except that where appropriate for the shape of the roof, it shall be assigned other values that account for
a) non-uniform snow loads on gable, arched or curved roofs and domes,
b) increased snow loads in valleys,
c) increased non-uniform snow loads due to snow drifting onto a roof that is at a level lower than other parts of the same building or at a level lower than another building within 5 m of it,
d) increased non-uniform snow loads on areas adjacent to roof projections, such as penthouses, large chimneys and equipment, and
e) increased snow or ice loads due to snow sliding or meltwater draining from adjacent roofs.
4.1.6.3. Full and Partial Loading
1) Intent StatementA roof or other building surface and its structural members subject to loads due to snow accumulation shall be designed for the specified load given in Sentence 4.1.6.2.(1), distributed over the entire loaded area.
2) Intent StatementIn addition to the distribution mentioned in Sentence (1), flat roofs and shed roofs, gable roofs of 15° slope or less, and arched or curved roofs shall be designed for the specified uniform snow load indicated in Sentence 4.1.6.2.(1), which shall be calculated using Ca = 1.0, distributed on any one portion of the loaded area and half of this load on the remainder of the loaded area, in such a way as to produce the most critical effects on the member concerned. (See Appendix A.)
4.1.6.4. Specified Rain Load
1) Intent StatementExcept as provided in Sentence (4), the specified load, S, due to the accumulation of rainwater on a surface whose position, shape and deflection under load make such an accumulation possible, is that resulting from the one-day rainfall determined in conformance with Subsection 1.1.3. and applied over the horizontal projection of the surface and all tributary surfaces. (See Appendix A.)
2) Intent StatementThe provisions of Sentence (1) apply whether or not the surface is provided with a means of drainage, such as rainwater leaders.
3) Intent StatementExcept as provided in Sentence 4.1.6.2.(1), loads due to rain need not be considered to act simultaneously with loads due to snow. (See Appendix A.)
4) Intent StatementWhere scuppers are provided and where the position, shape and deflection of the loaded surface make an accumulation of rainwater possible, the loads due to rain shall be the lesser of either the one-day rainfall determined in conformance with Subsection 1.1.3. or a depth of rainwater equal to 30 mm above the level of the scuppers, applied over the horizontal projection of the surface and tributary areas.

4.1.7. Wind Load

(See User's Guide - NBC 2010, Structural Commentaries (Part 4 of Division B).)
4.1.7.1. Specified Wind Load
1) Intent StatementThe specified external pressure or suction due to wind on part or all of a surface of a building shall be calculated using the formula
where
p= specified external pressure acting statically and in a direction normal to the surface, either as a pressure directed towards the surface or as a suction directed away from the surface,
IW= importance factor for wind load, as provided in Table 4.1.7.1.,
q= reference velocity pressure, as provided in Sentence (4),
Ce= exposure factor, as provided in Sentence (5),
Cg= gust effect factor, as provided in Sentence (6), and
Cp= external pressure coefficient, averaged over the area of the surface considered.
(See Appendix A.)
Table 4.1.7.1.
Importance Factor for Wind Load, IW
Forming part of Sentences 4.1.7.1.(1) and (3)
Importance Category

Importance Factor, IW

ULS SLS
Low 0.8 0.75
Normal 1 0.75
High 1.15 0.75
Post-disaster 1.25 0.75
2) Intent StatementThe net wind load for the building as a whole shall be the algebraic difference of the loads on the windward and leeward surfaces, and in some cases, may be calculated as the sum of the products of the external pressures or suctions and the areas of the surfaces over which they are averaged as provided in Sentence (1). (See Appendix A.)
3) Intent StatementThe net specified pressure due to wind on part or all of a surface of a building shall be the algebraic difference of the external pressure or suction as provided in Sentence (1) and the specified internal pressure or suction due to wind calculated using the following formula:
where
pi= specified internal pressure acting statically and in a direction normal to the surface, either as a pressure directed towards the surface or as a suction directed away from the surface,
IW= importance factor for wind load, as provided in Table 4.1.7.1.,
q= reference velocity pressure, as provided in Sentence (4),
Ce= exposure factor, as provided in Sentence (5),
Cgi= internal gust effect factor, as provided in Sentence (6), and
Cpi= internal pressure coefficient.
(See Appendix A.)
4) Intent StatementThe reference velocity pressure, q, shall be the appropriate value determined in conformance with Subsection 1.1.3., based on a probability of being exceeded in any one year of 1 in 50.
5) Intent StatementThe exposure factor, Ce, shall be
a) (h/10)0.2 but not less than 0.9 for open terrain, where open terrain is level terrain with only scattered buildings, trees or other obstructions, open water or shorelines thereof, h being the reference height above grade in metres for the surface or part of the surface (see Appendix A),
b) 0.7(h/12)0.3 but not less than 0.7 for rough terrain, where rough terrain is suburban, urban or wooded terrain extending upwind from the building uninterrupted for at least 1 km or change begin20 times the height of the buildingchange end, whichever is greater, h being the reference height above grade in metres for the surface or part of the surface (see Appendix A),
c) an intermediate value between the two exposures defined in Clauses (a) and (b) in cases where the site is less than 1 km or change begin20 times the height of the buildingchange end from a change in terrain conditions, whichever is greater, provided an appropriate interpolation method is used (see Appendix A), or
d) if a dynamic approach to the action of wind gusts is used, an appropriate value depending on both height and shielding (see Appendix A).
6) Intent StatementThe gust effect factor, Cg, shall be one of the following values:
a) for the building as a whole and main structural members, Cg = 2.0 (see Appendix A),
b) for external pressures and suctions on small elements including cladding, Cg = 2.5,
c) for internal pressures, Cgi = 2.0 or a value determined by detailed calculation that takes into account the sizes of the openings in the building envelope, the internal volume and the flexibility of the building envelope (see Appendix A), or
d) if a dynamic approach to wind action is used, Cg is a value that is appropriate for the turbulence of the wind and the size and natural frequency of the structure (see Appendix A).

contentHistory

4.1.7.2. Dynamic Effects of Wind
1) Intent Statementchange beginExcept as provided in Sentence (2),change end buildings whose height is greater than 4 times their minimum effective width, which is defined in Sentence (3), or greater than change begin60 m,change end and buildings whose change beginlowest natural frequency is less than 1 Hz, as determined by rational analysis (see Appendix A),change end shall be designed
a) by experimental methods for the danger of dynamic overloading, vibration and the effects of fatigue, or
b) by using a dynamic approach to the action of wind gusts (see Appendix A).
2) Intent Statementchange beginBuildings whose lowest natural frequency is less than ¼ Hz, as determined by rational analysis, shall be designed by experimental methods in accordance with Clause (1)(a). (See Appendix A.)change end
3) Intent StatementThe effective width, w, of a building shall be calculated using
where the summations are over the height of the building for a given wind direction, hi is the height above grade to level i, as defined in Sentence 4.1.7.1.(5), and wi is the width normal to the wind direction at height hi; the minimum effective width is the lowest value of the effective width considering all possible wind directions.
4.1.7.3. Full and Partial Loading
1) Intent StatementBuildings and structural members shall be capable of withstanding the effects of
a) the full wind loads acting along each of the 2 principal horizontal axes considered separately,
b) the wind loads as described in Clause (a) but with 100% of the load removed from any portion of the area,
c) the wind loads as described in Clause (a) but considered simultaneously at 75% of their full value, and
d) the wind loads as described in Clause (c) but with 50% of these loads removed from any portion of the area.
(See Appendix A.)
4.1.7.4. Interior Walls and Partitions
1) Intent StatementIn the design of interior walls and partitions, due consideration shall be given to differences in air pressure on opposite sides of the wall or partition which may result from
a) pressure differences between the windward and leeward sides of a building,
b) stack effects due to a difference in air temperature between the exterior and interior of the building, and
c) air pressurization by the mechanical services of the building.

4.1.8. Earthquake Load and Effects

(See User's Guide - NBC 2010, Structural Commentaries (Part 4 of Division B).)
4.1.8.1. Analysis
1) Intent StatementThe deflections and specified loading due to earthquake motions shall be determined according to the requirements in this Subsection, except that the requirements in this Subsection need not be considered in design if S(0.2), as defined in Sentence 4.1.8.4.(7), is less than or equal to 0.12.
4.1.8.2. Notation
1) Intent StatementIn this Subsection
Ar= response amplification factor to account for type of attachment of mechanical/electrical equipment, as defined in change beginSentence 4.1.8.18.(1)change end,
Ax= amplification factor at level x to account for variation of response of mechanical/electrical equipment with elevation within the building, as defined in change beginSentence 4.1.8.18.(1)change end,
Bx= ratio at level x used to determine torsional sensitivity, as defined in Sentence 4.1.8.11.(9),
B= maximum value of Bx, as defined in Sentence 4.1.8.11.(9),
Cp= seismic coefficient for mechanical/electrical equipment, as defined in change beginSentence 4.1.8.18.(1)change end,
Dnx= plan dimension of the building at level x perpendicular to the direction of seismic loading being considered,
ex= distance measured perpendicular to the direction of earthquake loading between centre of mass and centre of rigidity at the level being considered (see Appendix A),
Fa= acceleration-based site coefficient, as defined in Sentence 4.1.8.4.(4),
Ft= portion of V to be concentrated at the top of the structure, as defined in Sentence 4.1.8.11.(6),
Fv= velocity-based site coefficient, as defined in Sentence 4.1.8.4.(4),
Fx= lateral force applied to level x, as defined in Sentence 4.1.8.11.(6),
hi, hn, hx= the height above the base (i = 0) to level i, n, or x respectively, where the base of the structure is the level at which horizontal earthquake motions are considered to be imparted to the structure,
hs= interstorey height (hi - hi-1),
IE= earthquake importance factor of the structure, as described in Sentence 4.1.8.5.(1),
J= numerical reduction coefficient for base overturning moment, as defined in Sentence 4.1.8.11.(5),
Jx= numerical reduction coefficient for overturning moment at level x, as defined in Sentence 4.1.8.11.(7),
Level i= any level in the building, i = 1 for first level above the base,
Level n= level that is uppermost in the main portion of the structure,
Level x= level that is under design consideration,
Mv= factor to account for higher mode effect on base shear, as defined in Sentence 4.1.8.11.(5),
Mx= overturning moment at level x, as defined in Sentence 4.1.8.11.(7),
N= total number of storeys above exterior grade to level n,
60= Average Standard Penetration Resistance for the top 30 m, corrected to a rod energy efficiency of 60% of the theoretical maximum,
PGA= Peak Ground Acceleration expressed as a ratio to gravitational acceleration, as defined in Sentence 4.1.8.4.(1),
PI= plasticity index for clays,
Rd= ductility-related force modification factor reflecting the capability of a structure to dissipate energy through change beginreversed cyclicchange end inelastic behaviour, as given in Article 4.1.8.9.,
Ro= overstrength-related force modification factor accounting for the dependable portion of reserve strength in a structure designed according to these provisions, as defined in Article 4.1.8.9.,
Sp= horizontal force factor for part or portion of a building and its anchorage, as given in change beginSentence 4.1.8.18.(1)change end,
S(T)= design spectral response acceleration, expressed as a ratio to gravitational acceleration, for a period of T, as defined in change beginSentence 4.1.8.4.(7)change end,
Sa(T)= 5% damped spectral response acceleration, expressed as a ratio to gravitational acceleration, for a period of T, as defined in Sentence 4.1.8.4.(1),
SFRS= Seismic Force Resisting System(s) is that part of the structural system that has been considered in the design to provide the required resistance to the earthquake forces and effects defined in Subsection 4.1.8.,
su= average undrained shear strength in the top 30 m of soil,
T= period in seconds,
Ta= fundamental lateral period of vibration of the building or structure in seconds in the direction under consideration, as defined in Sentence 4.1.8.11.(3),
Tx= floor torque at level x, as defined in Sentence 4.1.8.11.(10),
V= lateral earthquake design force at the base of the structure, as determined by Article 4.1.8.11.,
Vd= lateral earthquake design force at the base of the structure, as determined by Article 4.1.8.12.,
Ve= lateral earthquake elastic force at the base of the structure, as determined by Article 4.1.8.12.,
change beginVed= lateral earthquake design elastic force at the base of the structure, as determined by Article 4.1.8.12.,change end
Vp= lateral force on a part of the structure, as determined by change beginArticle 4.1.8.18.change end,
s= average shear wave velocity in the top 30 m of soil or rock,
W= dead load, as defined in Article 4.1.4.1., except that the minimum partition load as defined in Sentence 4.1.4.1.(3) need not exceed 0.5 kPa, plus 25% of the design snow load specified in Subsection 4.1.6., plus 60% of the storage load for areas used for storage, except that storage garages need not be considered storage areas, and the full contents of any tanks (see Appendix A),
Wi, Wx= portion of W that is located at or is assigned to level i or x respectively,
Wp= weight of a part or portion of a structure, e.g., cladding, partitions and appendages,
δave= average displacement of the structure at level x, as defined in Sentence 4.1.8.11.(9), and
δmax= maximum displacement of the structure at level x, as defined in Sentence 4.1.8.11.(9).
4.1.8.3. General Requirements
1) Intent StatementThe building shall be designed to meet the requirements of this Subsection and of the design standards referenced in Section 4.3.
2) Intent StatementStructures shall be designed with a clearly defined load path, or paths, that will transfer the inertial forces generated in an earthquake to the supporting ground.
3) Intent StatementThe structure shall have a clearly defined Seismic Force Resisting System(s) (SFRS), as defined in Article 4.1.8.2.
4) Intent StatementThe SFRS shall be designed to resist 100% of the earthquake loads and their effects. (See Appendix A.)
5) Intent StatementAll structural framing elements not considered to be part of the SFRS must be investigated and shown to behave elastically or to have sufficient non-linear capacity to support their gravity loads while undergoing earthquake-induced deformations calculated from the deflections determined in Article 4.1.8.13.
6) Intent StatementStiff elements that are not considered part of the SFRS, such as concrete, masonry, brick or pre-cast walls or panels, shall be
a) separated from all structural elements of the building such that no interaction takes place as the building undergoes deflections due to earthquake effects as calculated in this Subsection, or
b) made part of the SFRS and satisfy the requirements of this Subsection.
(See Appendix A.)
7) Intent StatementStiffness imparted to the structure from elements not part of the SFRS, other than those described in Sentence (6), shall not be used to resist earthquake deflections but shall be accounted for
a) in calculating the period of the structure for determining forces if the added stiffness decreases the fundamental lateral period by more than 15%,
b) in determining the irregularity of the structure, except the additional stiffness shall not be used to make an irregular SFRS regular or to reduce the effects of torsion (see Appendix A), and
c) in designing the SFRS if inclusion of the elements not part of the SFRS in the analysis has an adverse effect on the SFRS (see Appendix A).
8) Intent StatementStructural modelling shall be representative of the magnitude and spatial distribution of the mass of the building and of the stiffness of all elements of the SFRS, including stiff elements that are not separated in accordance with Sentence (6), and shall account for
a) the effect of cracked sections in reinforced concrete and reinforced masonry elements,
b) the effect of the finite size of members and joints,
c) sway effects arising from the interaction of gravity loads with the displaced configuration of the structure, and
d) other effects that influence the lateral stiffness of the building.
(See Appendix A.)
4.1.8.4. Site Properties
1) Intent StatementThe peak ground acceleration (PGA) and the 5% damped spectral response acceleration values, Sa(T), for the reference ground conditions (Site Class C in Table 4.1.8.4.A) for periods T of 0.2 s, 0.5 s, 1.0 s, and 2.0 s, shall be determined in accordance with Subsection 1.1.3. and are based on a 2% probability of exceedance in 50 years.
Table 4.1.8.4.A
Site Classification for Seismic Site Response
change beginForming part of Sentences 4.1.8.4.(1) to (3)change end
Site Class Ground Profile Name Average Properties in Top 30 mchange begin, as per Appendix Achange end

Average Shear Wave Velocity, V̅s (m/s)

Average Standard Penetration Resistance, N̅60

Soil Undrained Shear Strength, su

A

Hard rock<(1)><(2)>

s > 1500

n/a n/a
B

Rockchange begin(2)change end

760 < V̅s ≤ 1500

n/a n/a
C

Very dense soil and soft rock

360 < V̅s < 760

60 > 50

su > 100 kPa

D

Stiff soil

180 < V̅s < 360

15 ≤ N̅60 ≤ 50

50 kPa < su ≤ 100 kPa

E

Soft soil

s < 180

60 < 15

su < 50 kPa

Any profile with more than 3 m of soil with the following characteristics:

  • plasticity index: PI > 20
  • moisture content: w ≥ 40%, and
  • undrained shear strength: su < 25 kPa

F

Other soils<(3)>

Site-specific evaluation required
Notes to Table 4.1.8.4.A:

(1) change beginSite Classes A and B, hard rock and rock, are not to be used if there is more than 3 m of softer materials between the rock and the underside of footing or mat foundationschange end. The appropriate Site Class for such cases is determined on the basis of the average properties of the total thickness of the softer materials (see Appendix A).change end
(2) change beginIf V̅s has been measured in-situ, the Fa and Fv values derived from Tables 4.1.8.4.B and C may be multiplied by (1500/V̅schange end)½.change end
(3) Other soils include:
  1. liquefiable soils, quick and highly sensitive clays, collapsible weakly cemented soils, and other soils susceptible to failure or collapse under seismic loading,
  2. peat and/or highly organic clays greater than 3 m in thickness,
  3. highly plastic clays (PI > 75) more than 8 m thick, and
  4. soft to medium stiff clays more than 30 m thick.
2) Intent StatementSite classifications for ground shall conform to Table 4.1.8.4.A and shall be determined using V̅s except as provided in Sentence (3).
3) Intent StatementIf average shear wave velocity, V̅s, is not known, Site Class shall be determined from energy-corrected Average Standard Penetration Resistance, N̅60, or from soil average undrained shear strength, su, as noted in Table 4.1.8.4.A, N̅60 and su being calculated based on rational analysis. (See Appendix A.)
4) Intent StatementAcceleration- and velocity-based site coefficients, Fa and Fv, shall conform to Tables 4.1.8.4.B and 4.1.8.4.C using linear interpolation for intermediate values of Sa(0.2) and Sa(1.0).
Table 4.1.8.4.B
Values of Fa as a Function of Site Class and Sa(0.2)
Forming part of Sentence 4.1.8.4.(4)
Site Class

Values of Fa

Sa(0.2) ≤ 0.25

Sa(0.2) = 0.50

Sa(0.2) = 0.75

Sa(0.2) = 1.00

Sa(0.2) ≥ 1.25

A 0.7 0.7 0.8 0.8 0.8
B 0.8 0.8 0.9 1.0 1.0
C 1.0 1.0 1.0 1.0 1.0
D 1.3 1.2 1.1 1.1 1.0
E 2.1 1.4 1.1 0.9 0.9
F

(1)

(1)

(1)

(1)

(1)

Notes to Table 4.1.8.4.B:

(1) See Sentence 4.1.8.4.(5).
Table 4.1.8.4.C
Values of Fv as a Function of Site Class and Sa(1.0)
Forming part of Sentence 4.1.8.4.(4)
Site Class

Values of Fv

Sa(1.0) ≤ 0.1

Sa(1.0) = 0.2

Sa(1.0) = 0.3

Sa(1.0) = 0.4

Sa(1.0) ≥ 0.5

A 0.5 0.5 0.5 0.6 0.6
B 0.6 0.7 0.7 0.8 0.8
C 1.0 1.0 1.0 1.0 1.0
D 1.4 1.3 1.2 1.1 1.1
E 2.1 2.0 1.9 1.7 1.7
F

(1)

(1)

(1)

(1)

(1)

Notes to Table 4.1.8.4.C:

(1) See Sentence 4.1.8.4.(5).
5) Intent Statementchange beginSite-specific evaluation is requiredchange end to determine Fa and Fv for Site Class F. change begin(See A-4.1.8.4.(3) and Table 4.1.8.4.A. in Appendix A.)change end
6) Intent Statementchange beginFor structures with a fundamental period of vibration equal to or less than 0.5 s that are built on liquefiable soils, Site Class and the corresponding values of Fa and Fv may be determined as described in Tables 4.1.8.4.A, B, and C by assuming that the soils are not liquefiable. (See A-4.1.8.4.(3) and Table 4.1.8.4.A. in Appendix A.)change end
7) Intent StatementThe design spectral acceleration values of S(T) shall be determined as follows, using linear interpolation for intermediate values of T:
S(T)= FaSa(0.2) for T ≤ 0.2 s= FvSa(0.5) or FaSa(0.2), whichever is smaller for T = 0.5 s= FvSa(1.0) for T = 1.0 s = FvSa(2.0) for T = 2.0 s= FvSa(2.0)/2 for T ≥ 4.0 s
4.1.8.5. Importance Factor
1) Intent StatementThe earthquake importance factor, IE, shall be determined according to Table 4.1.8.5.
Table 4.1.8.5.
Importance Factor for Earthquake Loads and Effects, IE
Forming part of Sentence 4.1.8.5.(1)
Importance Category

Importance Factor, IE

ULS

SLS(1)

Low 0.8change end

(2)

Normal 1.0
High 1.3
Post-disaster 1.5
Notes to Table 4.1.8.5.:

(1) See Article 4.1.8.13.
(2) change beginSee Appendix Achange end.
4.1.8.6. Structural Configuration
1) Intent StatementStructures having any of the features listed in Table 4.1.8.6. shall be designated irregular.
2) Intent StatementStructures not classified as irregular according to Sentence (1) may be considered regular.
3) Intent StatementExcept as required by Article 4.1.8.10., in cases where IEFaSa(0.2) is equal to or greater than 0.35, structures designated as irregular must satisfy the provisions referenced in Table 4.1.8.6.
Table 4.1.8.6.
Structural Irregularities(1)
Forming part of Sentence 4.1.8.6.(1)
Type Irregularity Type and Definition Notes
1

Vertical Stiffness Irregularity


Vertical stiffness irregularity shall be considered to exist when the lateral stiffness of the SFRS in a storey is less than 70% of the stiffness of any adjacent storey, or less than 80% of the average stiffness of the three storeys above or below.

(2)(3)(4)

2

Weight (mass) Irregularity


Weight irregularity shall be considered to exist where the weight, Wi, of any storey is more than 150% of the weight of an adjacent storey. A roof that is lighter than the floor below need not be considered.

(2)

3

Vertical Geometric Irregularity


Vertical geometric irregularity shall be considered to exist where the horizontal dimension of the SFRS in any storey is more than 130% of that in an adjacent storey.

(2)(3)(4)(5)

4

In-Plane Discontinuity in Vertical Lateral-Force-Resisting Element


change beginExcept for braced frames and moment-resisting frames, an in-plane discontinuity shall be considered to exist where there is anchange end offset of a lateral-force-resisting element of the SFRS or a reduction in lateral stiffness of the resisting element in the storey below.

(2)(3)(4)(5)

5

Out-of-Plane Offsets


Discontinuities in a lateral force path, such as out-of-plane offsets of the vertical elements of the SFRS.

(2)(3)(4)(5)

6

Discontinuity in Capacity - Weak Storey


A weak storey is one in which the storey shear strength is less than that in the storey above. The storey shear strength is the total strength of all seismic-resisting elements of the SFRS sharing the storey shear for the direction under consideration.

(3)

7

Torsional Sensitivity (to be considered when diaphragms are not flexible)


Torsional sensitivity shall be considered to exist when the ratio B calculated according to Sentence 4.1.8.11.(9) exceeds 1.7.

(2)(3)(4)(6)

8

Non-orthogonal Systems


A non-orthogonal system irregularity shall be considered to exist when the SFRS is not oriented along a set of orthogonal axes.

(4)(7)

Notes to Table 4.1.8.6.:

(1) One-storey penthouses with a weight of less than 10% of the level below need not be considered in the application of this table.
(2) See Article 4.1.8.7.
(3) See Article 4.1.8.10.change end
(4) change beginSee Appendix Achange end.
(5) See Article 4.1.8.15.
(6) See Sentences 4.1.8.11.(9), (10) and 4.1.8.12.(4).
(7) See Article 4.1.8.8.
4.1.8.7. Methods of Analysis
1) Intent StatementAnalysis for design earthquake actions shall be carried out in accordance with the Dynamic Analysis Procedure described in Article 4.1.8.12. (see Appendix A), except that the Equivalent Static Force Procedure described in Article 4.1.8.11. may be used for structures that meet any of the following criteria:
a) in cases where IEFaSa(0.2) is less than 0.35,
b) regular structures that are less than 60 m in height and have a fundamental lateral period, Ta, less than 2 s in each of two orthogonal directions as defined in Article 4.1.8.8., or
c) structures with structural irregularity, of Type 1, 2, 3, 4, 5, 6 or 8 as defined in Table 4.1.8.6., that are less than 20 m in height and have a fundamental lateral period, Ta, less than 0.5 s in each of two orthogonal directions as defined in Article 4.1.8.8.
4.1.8.8. Direction of Loading
1) Intent StatementEarthquake forces shall be assumed to act in any horizontal direction, except that the following shall be considered to provide adequate design force levels in the structure:
a) where components of the SFRS are oriented along a set of orthogonal axes, independent analyses about each of the principal axes of the structure shall be performed,
b) where the components of the SFRS are not oriented along a set of orthogonal axes and IEFaSa(0.2) is less than 0.35, independent analyses about any two orthogonal axes is permitted, or
c) where the components of the SFRS are not oriented along a set of orthogonal axes and IEFaSa(0.2) is equal to or greater than 0.35, analysis of the structure independently in any two orthogonal directions for 100% of the prescribed earthquake loads applied in one direction plus 30% of the prescribed earthquake loads in the perpendicular direction, with the combination requiring the greater element strength being used in the design.
4.1.8.9. SFRS Force Reduction Factors, System Overstrength Factors, and General Restrictions
1) Intent StatementThe values of Rd and Ro and the corresponding system restrictions shall conform to Table 4.1.8.9. and the requirements of this Subsection.
2) Intent StatementWhen a particular value of Rd is required by this Article, the corresponding Ro shall be used.
3) Intent StatementFor combinations of different types of SFRS acting in the same direction in the same storey, RdRo shall be taken as the lowest value of RdRo corresponding to these systems.
4) Intent StatementFor vertical variations of RdRo, excluding change beginrooftop structures not exceeding two storeys in heightchange end whose weight is less than change beginthe greater ofchange end 10% of change beginW and 30% of Wichange end of the level below, the value of RdRo used in the design of any storey shall be less than or equal to the lowest value of RdRo used in the given direction for the storeys above, and the requirements of Sentence 4.1.8.15.(5) must be satisfied. (See Appendix A.)
5) Intent StatementIf it can be demonstrated through testing, research and analysis that the seismic performance of a structural system is at least equivalent to one of the types of SFRS mentioned in Table 4.1.8.9., then such a structural system will qualify for values of Rd and Ro corresponding to the equivalent type in that Table. (See Appendix A.)
Table 4.1.8.9.
SFRS Ductility-Related Force Modification Factors, Rd, Overstrength-Related Force Modification Factors, Ro, and General Restrictions(1)
Forming part of Sentence 4.1.8.9.(1)
Type of SFRS

Rd

Ro

Restrictions<(2)>

Cases Where IEFaSa(0.2)

Cases Where IEFvSa(1.0)

< 0.2 ≥ 0.2 to < 0.35 ≥ 0.35 to ≤ 0.75 > 0.75 > 0.3

Steel Structures Designed and Detailed According to CSA S16<(3)>

Ductile moment-resisting frames 5.0 1.5 NL NL NL NL NL
Moderately ductile moment-resisting frames 3.5 1.5 NL NL NL NL NL
Limited ductility moment-resisting frames 2.0 1.3 NL NL 60 30 30
Moderately ductile concentrically braced frames              
change beginTension-compressionchange end braces 3.0 1.3 NL NL 40 40 40
Tension only braces 3.0 1.3 NL NL 20 20 20
Limited ductility concentrically braced frames              
change beginTension-compressionchange end braces 2.0 1.3 NL NL 60 60 60
Tension only braces 2.0 1.3 NL NL 40 40 40

change beginDuctile buckling-restrained braced frameschange end

change begin4.0change end change begin1.2change end change beginNLchange end change beginNLchange end change begin40change end change begin40change end change begin40change end
Ductile eccentrically braced frames 4.0 1.5 NL NL NL NL NL
Ductile plate walls 5.0 1.6 NL NL NL NL NL

change beginLimited ductility plate wallschange end

2.0 1.5 NL NL 60 60 60

Conventional construction of momentchange begin-resistingchange end frames, braced frames or change beginplatechange end walls

             
change beginAssembly occupancieschange end change begin1.5change end change begin1.3change end change beginNLchange end change beginNLchange end change begin15change end change begin15change end change begin15change end
change beginOther occupancieschange end change begin1.5change end change begin1.3change end change beginNLchange end change beginNLchange end change begin60change end change begin40change end change begin40change end
Other steel SFRS(s) not defined above 1.0 1.0 15 15 NP NP NP
Concrete Structures Designed and Detailed According to CAN/CSA-A23.3
Ductile moment-resisting frames 4.0 1.7 NL NL NL NL NL
Moderately ductile moment-resisting frames 2.5 1.4 NL NL 60 40 40
Ductile coupled walls 4.0 1.7 NL NL NL NL NL
Ductile partially coupled walls 3.5 1.7 NL NL NL NL NL
Ductile shear walls 3.5 1.6 NL NL NL NL NL
Moderately ductile shear walls 2.0 1.4 NL NL NL 60 60
Conventional construction              
Moment-resisting frames 1.5 1.3 NL NL 15 NP NP
Shear walls 1.5 1.3 NL NL 40 30 30
Other concrete SFRS(s) not listed above 1.0 1.0 15 15 NP NP NP
Timber Structures Designed and Detailed According to CSA O86
Shear walls              
Nailed shear walls: wood-based panel 3.0 1.7 NL NL 30 20 20
Shear walls: wood-based and gypsum panels in combination 2.0 1.7 NL NL 20 20 20
Braced or moment-resisting frames with ductile connections              
Moderately ductile 2.0 1.5 NL NL 20 20 20
Limited ductility 1.5 1.5 NL NL 15 15 15
Other wood- or gypsum-based SFRS(s) not listed above 1.0 1.0 15 15 NP NP NP
Masonry Structures Designed and Detailed According to CSA S304.1
Moderately ductile shear walls 2.0 1.5 NL NL 60 40 40
Limited ductility shear walls 1.5 1.5 NL NL 40 30 30
Conventional construction              
Shear walls 1.5 1.5 NL 60 30 15 15
Moment-resisting frames 1.5 1.5 NL 30 NP NP NP
Unreinforced masonry 1.0 1.0 30 15 NP NP NP
Other masonry SFRS(s) not listed above 1.0 1.0 15 NP NP NP NP

change beginCold-Formed Steel Structures Designed and Detailed According to CAN/CSA-S136change end

change beginShear wallschange end

             
change beginScrew-connected shear walls – wood-based panelschange end change begin2.5change end change begin1.7change end change begin20change end change begin20change end change begin20change end change begin20change end change begin20change end
change beginScrew-connected shear walls – wood-based and gypsum panels in combinationchange end change begin1.5change end change begin1.7change end change begin20change end change begin20change end change begin20change end change begin20change end change begin20change end

change beginDiagonal strap concentrically braced wallschange end

             
change beginLimited ductilitychange end change begin1.9change end change begin1.3change end change begin20change end change begin20change end change begin20change end change begin20change end change begin20change end
change beginConventional constructionchange end change begin1.2change end change begin1.3change end change begin15change end change begin15change end change beginNPchange end change beginNPchange end change beginNPchange end

change beginOther cold-formed SFRS(s) not defined abovechange end

change begin1.0change end change begin1.0change end change begin15change end change begin15change end change beginNPchange end change beginNPchange end change beginNPchange end
Notes to Table 4.1.8.9.:

(1) See Article 4.1.8.10.
(2) NP = system is not permitted.
NL = system is permitted and not limited in height as an SFRS; height may be limited in other Parts of the Code.
Numbers in this Table are maximum height limits in m.
The most stringent requirement governs.
(3) change beginHigher design force levels are prescribed in CSA S16 for some heights of buildingschange end.change end
4.1.8.10. Additional System Restrictions
1) Intent StatementExcept as required by Clause (2)(b), structures with a Type 6 irregularity, Discontinuity in Capacity - Weak Storey, as described in Table 4.1.8.6., are not permitted unless IEFaSa(0.2) is less than 0.2 and the forces used for design of the SFRS are multiplied by RdRo.
2) Intent StatementPost-disaster buildings shall
a) not have any irregularities conforming to Types 1, 3, 4, 5 and 7 as described in Table 4.1.8.6., in cases where IEFaSa(0.2) is equal to or greater than 0.35,
b) not have a Type 6 irregularity as described in Table 4.1.8.6.,
c) have an SFRS with an Rd of 2.0 or greater, and
d) change beginhave no storey with a lateral stiffness that is less than that of the storey above it.change end
3) Intent StatementFor buildings having fundamental lateral periods, Ta, of 1.0 s or greater, and where IEFvSa(1.0) is greater than 0.25, walls forming part of the SFRS shall be continuous from their top to the foundation and shall not have irregularities of Type 4 or 5 as described in Table 4.1.8.6.
4) In cases where IEFaSa(0.2) is equal to or greater than 0.35, for buildings constructed with 5 or 6 storeys of continuous combustible construction as permitted by Article 3.2.2.50. and having any fundamental lateral period, Ta, walls forming part of the SFRS within the continuous combustible construction shall not have irregularities of Type 4 or 5 as described in Table 4.1.8.6.
4.1.8.11. Equivalent Static Force Procedure for Structures Satisfying the Conditions of Article 4.1.8.7.
1) Intent StatementThe static loading due to earthquake motion shall be determined according to the procedures given in this Article.
2) Intent StatementThe minimum lateral earthquake force, V, shall be calculated using the following formula:
except
a) change beginfor walls, coupled walls and wall-frame systems, V shall not be less than
change end
b) change beginfor moment-resisting frames, braced frames, and other systems,change end V shall not be less than
c) for change beginbuildings located on a site other than Class F and havingchange end an SFRS with an Rd equal to or greater than 1.5, V need not be greater than
3) Intent StatementThe fundamental lateral period, Ta, in the direction under consideration in Sentence (2), shall be determined as:
a) for moment-resisting frames that resist 100% of the required lateral forces and where the frame is not enclosed by or adjoined by more rigid elements that would tend to prevent the frame from resisting lateral forces, and where hn is in metres:
i) 0.085 (hn)3/4 for steel moment frames,
ii) 0.075 (hn)3/4 for concrete moment frames, or
iii) 0.1 N for other moment frames,
b) 0.025hn for braced frames where hn is in metres,
c) 0.05 (hn)3/4 for shear wall and other structures where hn is in metres, or
d) other established methods of mechanics using a structural model that complies with the requirements of Sentence 4.1.8.3.(8), except that
i) for moment-resisting frames, Ta shall not be taken greater than 1.5 times that determined in Clause (a),
ii) for braced frames, Ta shall not be taken greater than 2.0 times that determined in Clause (b),
iii) for shear wall structures, Ta shall not be taken greater than 2.0 times that determined in Clause (c),
iv) change beginfor other structures, Ta shall not be taken greater than that determined in Clause (c), andchange end
v) for the purpose of calculating the deflections, the period without the upper limit specified change beginin Subclauses (d)(i) to (d)(iv) may be used, except that, for walls, coupled walls and wall-frame systems, Ta shall not exceed 4.0 s, and for moment-resisting frames, braced frames, and other systems, Ta shall not exceed 2.0 s.change end
(See Appendix A.)
4) Intent StatementThe weight, W, of the building shall be calculated using the following formula:
5) Intent StatementThe higher mode factor, Mv, and its associated base overturning moment reduction factor, J, shall conform to Table 4.1.8.11.
Table 4.1.8.11.
Higher Mode Factor, Mv, and Base Overturning Reduction Factor, J(1)(2)
Forming part of Sentence 4.1.8.11.(5)

Sa(0.2)/Sa(2.0)

Type of Lateral Resisting Systems Mv for Ta ≤ 1.0 change beginMv for Ta = 2.0change end Mv for Ta ≥ change begin4.0change end J for Ta ≤ 0.5 change beginJ for Ta = 2.0change end J for Ta ≥ 4.0
< 8.0

Moment-resisting frames

1.0 change begin1.0change end change begin(3)change end 1.0 change begin0.9change end change begin(3)change end
change beginCoupled walls(4)change end change begin1.0change end change begin1.0change end change begin1.0change end change begin1.0change end change begin0.9change end change begin0.8change end
Braced frames 1.0 change begin1.0change end change begin(3)change end 1.0 change begin0.8change end change begin(3)change end

Walls, wall-frame systems

1.0 change begin1.2change end change begin1.6change end 1.0 change begin0.6change end change begin0.5change end
change beginOther systems(5)change end change begin1.0change end change begin1.2change end change begin(3)change end change begin1.0change end change begin0.6change end change begin(3)change end
≥ 8.0

Moment-resisting frames

1.0 change begin1.2change end change begin(3)change end 1.0 change begin0.7change end change begin(3)change end
change beginCoupled walls(4)change end change begin1.0change end change begin1.2change end change begin1.2change end change begin1.0change end change begin0.7change end change begin0.6change end
Braced frames 1.0 change begin1.5change end change begin(3)change end 1.0 change begin0.6change end change begin(3)change end

Walls, wall-frame systems

1.0 change begin2.2change end change begin3.0change end 1.0 change begin0.4change end change begin0.3change end
change beginOther systems(5)change end change begin1.0change end change begin2.2change end change begin(3)change end change begin1.0change end change begin0.4change end change begin(3)change end
Notes to Table 4.1.8.11.:

(1) For values of Mv between fundamental lateral periods, Ta, of 1.0 s and 2.0 s change beginand between 2.0 s and 4.0 schange endchange end, the product S(Ta)•Mv shall be obtained by linear interpolation.
(2) Values of J between fundamental lateral periods, Ta, of 0.5 s and 2.0 s change beginand between 2.0 s and 4.0 schange endchange end shall be obtained by linear interpolation.
(3) change beginFor fundamental lateral periods, Ta, greater than 2.0 s, use the values for Tachange end = 2.0.change end
(4) A “coupled wall” is a wall system with coupling beams, where at least 66% of the base overturning moment resisted by the wall system is carried by the axial tension and compression forces resulting from shear in the coupling beams.
(5) For hybrid systems, values corresponding to walls must be used or a dynamic analysis must be carried out as per Article 4.1.8.12.
6) Intent StatementThe total lateral seismic force, V, shall be distributed such that a portion, Ft, shall be assumed to be concentrated at the top of the building, where Ft is equal to 0.07 TaV but need not exceed 0.25 V and may be considered as zero where the fundamental lateral period, Ta, does not exceed 0.7 s; the remainder, V - Ft, shall be distributed along the height of the building, including the top level, in accordance with the following formula:
7) Intent StatementThe structure shall be designed to resist overturning effects caused by the earthquake forces determined in Sentence (6) and the overturning moment at level x, Mx, shall be determined using the following equation:
where
Jx= 1.0 for hx ≥ 0.6hn, and
Jx= J + (1 - J)(hx / 0.6hn) for hx < 0.6hn
where
J= base overturning moment reduction factor conforming to Table 4.1.8.11.
8) Intent StatementTorsional effects that are concurrent with the effects of the forces mentioned in Sentence (6) and are caused by the change beginsimultaneous actions of thechange end following torsional moments shall be considered in the design of the structure according to Sentence (10):
a) torsional moments introduced by eccentricity between the centres of mass and resistance and their dynamic amplification, change beginandchange end
b) torsional moments due to accidental eccentricities.
9) Intent StatementTorsional sensitivity shall be determined by calculating the ratio Bx for each level x according to the following equation for each orthogonal direction determined independently:
where
B= maximum of all values of Bx in both orthogonal directions, except that the Bx for one-storey penthouses with a weight less than 10% of the level below need not be considered,
δmax= maximum storey displacement at the extreme points of the structure, at level x in the direction of the earthquake induced by the equivalent static forces acting at distances ± 0.10 Dnx from the centres of mass at each floor, and
δave= average of the displacements at the extreme points of the structure at level x produced by the above-mentioned forces.
10) Intent StatementTorsional effects shall be accounted for as follows:
a) for a building with B ≤ 1.7 change beginor where IEFaSa(0.2) is less than 0.35,change end by applying torsional moments about a vertical axis at each level throughout the building, derived for each of the following load cases considered separately:
i) Tx = Fx(ex + 0.10 Dnx), and
ii) Tx = Fx(ex - 0.10 Dnx)
where Fx is the lateral force at each level determined according to Sentence (6) and where each element of the building is designed for the most severe effect of the above load cases, or
b) for a building with B > 1.7, in cases where IEFaSa(0.2) is equal to or greater than 0.35, by a Dynamic Analysis Procedure as specified in Article 4.1.8.12.
11) Where the fundamental lateral period, Ta, is determined by Clause (3)(d) for buildings constructed with 5 or 6 storeys of continuous combustible construction as permitted by Article 3.2.2.50. and having an SFRS of nailed shear walls with wood-based panels, the lateral earthquake force, V, as determined in Sentence (2) shall be multiplied by 1.2.
4.1.8.12. Dynamic Analysis Procedure
1) Intent StatementThe Dynamic Analysis Procedure shall be in accordance with one of the following methods:
a) Linear Dynamic Analysis by either the Modal Response Spectrum Method or the Numerical Integration Linear Time History Method using a structural model that complies with the requirements of Sentence 4.1.8.3.(8) (see Appendix A), or
b) Non-linear Dynamic Analysis, in which case a special study shall be performed (see Appendix A).
2) Intent StatementThe spectral acceleration values used in the Modal Response Spectrum Method shall be the design spectral acceleration values, S(T), defined in change beginSentence 4.1.8.4.(7)change end.
3) Intent StatementThe ground motion histories used in the Numerical Integration Linear Time History Method shall be compatible with a response spectrum constructed from the design spectral acceleration values, S(T), defined in change beginSentence 4.1.8.4.(7)change end. (See Appendix A.)
4) Intent StatementThe effects of accidental torsional moments acting concurrently with the lateral earthquake forces that cause them shall be accounted for by the following methods:
a) the static effects of torsional moments due to (± 0.10 Dnx)Fx at each level x, where Fx is change begineither determined from the elastic dynamic analysis orchange end determined from Sentence 4.1.8.11.(6) change beginmultiplied by RdRo/IEchange end, shall be combined with the effects determined by dynamic analysis (see Appendix A), or
b) if B, as defined in Sentence 4.1.8.11.(9), is less than 1.7, it is permitted to use a three-dimensional dynamic analysis with the centres of mass shifted by a distance of –0.05 Dnx and + 0.05 Dnx.
5) Intent Statementchange beginExcept as provided in Sentence (6), the design elastic base shear, Ved, is equal to the elastic base shear, Ve, obtained from a Linear Dynamic Analysis.
6) Intent StatementFor structures located on sites other than Class F that have an SFRS with Rd equal to or greater than 1.5, the elastic base shear obtained from a Linear Dynamic Analysis may be multiplied by the following factor to obtain the design elastic base shear, Ved:
change end
7) Intent StatementThe change begindesign elastic base shear, Vedchange end, shall be multiplied by the importance factor, IE, as determined in Article 4.1.8.5., and shall be divided by RdRo, as determined in Article 4.1.8.9., to obtain the change begindesignchange end base shear, Vd.
8) Except as required by change beginSentences (9)change end or (12), if the base shear, Vd, obtained in change beginSentence (7)change end is less than 80% of the lateral earthquake design force, V, of Article 4.1.8.11., Vd shall be taken as 0.8 V.

contentHistory

9) Intent StatementFor irregular structures requiring dynamic analysis in accordance with Article 4.1.8.7., Vd shall be taken as the larger of the Vd determined in Sentence (7) and 100% of V.
10) Intent StatementExcept as required by change beginSentence (11)change end, the values of elastic storey shears, storey forces, member forces, and deflections obtained from the Linear Dynamic Analysischange begin, including the effect of accidental torsion determined in Sentence (4),change end shall be multiplied by Vd/Ve to determine their design values, where Vd is the base shear.
11) Intent StatementFor the purpose of calculating deflections, it is permitted to use a value for V based on the value for Ta determined in Clause 4.1.8.11.(3)(d) to obtain Vd in change beginSentences (8) and (9)change end.
12) The base shear, Vd, shall be taken as 100% of the lateral earthquake design force, V, as determined by Article 4.1.8.11. for buildings
a) constructed with 5 or 6 storeys of continuous combustible construction as permitted by Article 3.2.2.50.,
b) having an SFRS of nailed shear walls with wood-based panels, and
c) having a fundamental lateral period, Ta, as determined by Clause 4.1.8.11.(3)(d).
4.1.8.13. Deflections and Drift Limits
1) Intent StatementLateral deflections of a structure shall be calculated in accordance with the loads and requirements defined in this Subsection.
2) Intent StatementLateral deflections obtained from a linear elastic analysis using the methods given in Articles 4.1.8.11. and 4.1.8.12. and incorporating the effects of torsion, including accidental torsional moments, shall be multiplied by RdRo/IE to give realistic values of anticipated deflections.
3) Intent StatementBased on the lateral deflections calculated in Sentence (2), the largest interstorey deflection at any level shall be limited to 0.01 hs for post-disaster buildings, 0.02 hs for change beginHigh Importance Category buildingschange end, and 0.025 hs for all other buildings.
4) Intent StatementThe deflections calculated in Sentence (2) shall be used to account for sway effects as required by change beginSentence 4.1.3.2.(12)change end. (See Appendix A.)
4.1.8.14. Structural Separation
1) Intent StatementAdjacent structures shall either be separated by the square root of the sum of the squares of their individual deflections calculated in Sentence 4.1.8.13.(2), or shall be connected to each other.
2) Intent StatementThe method of connection required in Sentence (1) shall take into account the mass, stiffness, strength, ductility and anticipated motion of the connected buildings and the character of the connection.
3) Intent StatementRigidly connected buildings shall be assumed to have the lowest RdRo value of the buildings connected.
4) Intent StatementBuildings with non-rigid or energy-dissipating connections require special studies.
4.1.8.15. Design Provisions
1) Intent Statementchange beginExcept as provided in Sentences (2) and (3), diaphragms, collectors, chords, strutschange end and connections shall be designed so as not to yield, and the design shall account for the shape of the diaphragm, including openings, and for the forces generated in the diaphragm due to the following cases, whichever one governs (see Appendix A):
a) forces due to loads determined in Article 4.1.8.11. or 4.1.8.12. applied to the diaphragm are increased to reflect the lateral load capacity of the SFRS, plus forces in the diaphragm due to the transfer of forces between elements of the SFRS associated with the lateral load capacity of such elements and accounting for discontinuities and changes in stiffness in these elements, or
b) a minimum force corresponding to the design-based shear divided by N for the diaphragm at level x.
2) Intent Statementchange beginSteel deck roof diaphragms in buildings of less than 4 storeys or wood diaphragms that are designed and detailed according to the applicable referenced design standards to exhibit ductile behaviour shall meet the requirements of Sentence (1), except that they may yield and the forces shall be
a) for wood diaphragms acting in combination with vertical wood shear walls, equal to the lateral earthquake design force,
b) for wood diaphragms acting in combination with other SFRS, not less than the force corresponding to RdRo = 2.0, and
c) for steel deck roof diaphragms, not less than the force corresponding to RdRo = 2.0.
3) Intent StatementWhere diaphragms are designed in accordance with Sentence (2), the struts shall be designed in accordance with Clause 4.1.8.15.(1)(a) and the collectors, chords and connections between the diaphragms and the vertical elements of the SFRS shall be designed for forces corresponding to the capacity of the diaphragms in accordance with the applicable CSA standards. (See Appendix A.)change end
4) Intent StatementIn cases where IEFaSa(0.2) is equal to or greater than 0.35, the elements supporting any discontinuous wall, column or braced frame shall be designed for the lateral load capacity of the components of the SFRS they support. (See Appendix A.)
5) Intent StatementWhere structures have vertical variations of RdRo satisfying Sentence 4.1.8.9.(4), the elements of the SFRS below the level where the change in RdRo occurs shall be designed for the forces associated with the lateral load capacity of the SFRS above that level. (See Appendix A.)
6) Intent StatementWhere earthquake effects can produce forces in a column or wall due to lateral loading along both orthogonal axes, account shall be taken of the effects of potential concurrent yielding of other elements framing into the column or wall from all directions at the level under consideration and as appropriate at other levels. (See Appendix A.)
7) Intent StatementExcept as provided in Sentence (8), the design forces change beginassociated with the lateral capacity of the SFRSchange end need not exceed the forces determined in accordance with Sentence 4.1.8.7.(1) change beginwith RdRo taken as 1.0, unless otherwise provided by the applicable referenced design standards for elements, in which case the design forces associated with the lateral capacity of the SFRS need not exceed the forces determined in accordance with Sentence 4.1.8.7.(1) with RdRo taken as 1.3.change end (See Appendix A.)
8) Intent StatementIf foundation rocking is accounted for, the design forces for the SFRS need not exceed the maximum values associated with foundation rocking, provided that Rd and Ro for the type of SFRS used conform to Table 4.1.8.9. and that the foundation is designed in accordance with Sentence 4.1.8.16.(1).
4.1.8.16. Foundation Provisions
1) Intent StatementFoundations shall be designed to resist the lateral load capacity of the SFRS, except that when the foundations are allowed to rock, the design forces for the foundation need not exceed those determined in Sentence 4.1.8.7.(1) using an RdRo equal to 2.0. (See Appendix A.)
2) Intent StatementThe design of foundations shall be such that they are capable of transferring earthquake loads and effects between the building and the ground without exceeding the capacities of the soil and rock.
3) Intent StatementIn cases where IEFaSa(0.2) is equal to or greater than 0.35, the following requirements shall be satisfied:
a) piles or pile caps, drilled piers, and caissons shall be interconnected by continuous ties in not less than two directions (see Appendix A),
b) piles, drilled piers, and caissons shall be embedded a minimum of 100 mm into the pile cap or structure, and
c) piles, drilled piers, and caissons, other than wood piles, shall be connected to the pile cap or structure for a minimum tension force equal to 0.15 times the factored compression load on the pile.
4) Intent StatementAt sites where IEFaSa(0.2) is equal to or greater than 0.35, basement walls shall be designed to resist earthquake lateral pressures from backfill or natural ground. (See Appendix A.)
5) Intent StatementAt sites where IEFaSa(0.2) is greater than 0.75, the following requirements shall be satisfied:
a) piles, drilled piers, or caissons shall be designed and detailed to accommodate cyclic inelastic behaviour when the design moment in the element due to earthquake effects is greater than 75% of its moment capacity (see Appendix A), and
b) spread footings founded on soil defined as Site Class E or F shall be interconnected by continuous ties in not less than two directions.
6) Intent StatementEach segment of a tie between elements that is required by Clauses (3)(a) or (5)(b) shall be designed to carry by tension or compression a horizontal force at least equal to the greatest factored pile cap or column vertical load in the elements it connects, multiplied by a factor of 0.10 IEFaSa(0.2), unless it can be demonstrated that equivalent restraints can be provided by other means. (See Appendix A.)
7) Intent StatementThe potential for liquefaction of the soil and its consequences, such as significant ground displacement and loss of soil strength and stiffness, shall be evaluated based on the ground motion parameters referenced in Subsection 1.1.3. and shall be taken into account in the design of the structure and its foundations. (See Appendix A.)
4.1.8.17. change beginSite Stability
1) Intent StatementThe potential for slope instability and its consequences, such as slope displacement, shall be evaluated based on site-specific material properties and ground motion parameters referenced in Subsection 1.1.3. and shall be taken into account in the design of the structure and its foundations. (See Appendix A.)change end
4.1.8.18. Elements of Structures, Non-structural Components and Equipment
change begin(See Appendix A.)change end
1) Intent StatementExcept as provided in Sentences (2) and (8), elements and components of buildings described in Table 4.1.8.18. and their connections to the structure shall be designed to accommodate the building deflections calculated in accordance with Article 4.1.8.13. and the element or component deflections calculated in accordance with Sentence (10), and shall be designed for a lateral force, Vp, change begindistributed according to the distribution of mass:change end
where
Fa= as defined in change beginTable 4.1.8.4.Bchange end,
Sa(0.2)= spectral response acceleration value at 0.2 s, as defined in Sentence 4.1.8.4.(1),
IE= importance factor for the building, as defined in Article 4.1.8.5.,
Sp= CpArAx/Rp (the maximum value of Sp shall be taken as 4.0 and the minimum value of Sp shall be taken as 0.7), whereCp = element or component factor from Table 4.1.8.18.,Ar = element or component force amplification factor from Table 4.1.8.18.,Ax = height factor (1 + 2 hx / hn),Rp = element or component response modification factor from Table 4.1.8.18., and
Wp= weight of the component or element.
2) Intent StatementFor buildings other than post-disaster buildings, where IEFaSa(0.2) is less than 0.35, the requirements of Sentence (1) need not apply to Categories 6 through 21 of Table 4.1.8.18.
3) Intent StatementThe values of Cp in Sentence (1) shall conform to Table 4.1.8.18.
4) Intent StatementFor the purpose of applying Sentence (1) and Categories 11 and 12 of Table 4.1.8.18., elements or components shall be assumed to be flexible or flexibly connected unless it can be shown that the fundamental period of the element or component and its connection is less than or equal to 0.06 s, in which case the element or component is classified as being rigid or rigidly connected.
5) Intent StatementThe weight of access floors shall include the dead load of the access floor and the weight of permanent equipment, which shall not be taken as less than 25% of the floor live load.
6) Intent StatementWhen the mass of a tank plus its contents change beginor the mass of a flexible or flexibly connected piece of machinery, fixture or equipmentchange end is greater than 10% of the mass of the supporting floor, the lateral forces shall be determined by rational analysis.
7) Intent StatementForces shall be applied in the horizontal direction that results in the most critical loading for design, except for Category 6 of Table 4.1.8.18., where the forces shall be applied up and down vertically.
8) Intent StatementConnections to the structure of elements and components listed in Table 4.1.8.18. shall be designed to support the component or element for gravity loads, shall conform to the requirements of Sentence (1), and shall also satisfy these additional requirements:
a) friction due to gravity loads shall not be considered to provide resistance to seismic forces,
b) Rp for non-ductile connections, such as adhesives or power-actuated fasteners, shall be taken as 1.0,
c) Rp for anchorage using shallow expansion, chemical, epoxy or cast-in-place anchors shall be 1.5, where shallow anchors are those with a ratio of embedment length to diameter of less than 8,
d) power-actuated fasteners and drop-in anchors shall not be used for tension loads,
e) connections for non-structural elements or components of Category 1, 2 or 3 of Table 4.1.8.18. attached to the side of a building and above the first level above grade shall satisfy the following requirements:
i) for connections where the body of the connection is ductile, the body shall be designed for values of Cp, Ar and Rp given in Table 4.1.8.18., and change beginall of the other parts of the connection,change end such as anchors, welds, bolts and inserts, change beginshall be capable of developing 2.0 times the nominal yield resistance of the body of the connection,change end and
ii) connections where the body of the connection is not ductile shall be designed for values of Cp = 2.0, Rp = 1.0 and Ar given in Table 4.1.8.18., and
f) for the purpose of applying Clause (e), a ductile connection is one where the body of the connection change beginis capable of dissipating energy through cyclic inelastic behaviourchange end.
9) Intent StatementFloors and roofs acting as diaphragms shall satisfy the requirements for diaphragms stated in Article 4.1.8.15.
10) Intent StatementLateral deflections of elements or components shall be based on the loads defined in Sentence (1) and lateral deflections obtained from an elastic analysis shall be multiplied by Rp/IE to give realistic values of the anticipated deflections.
11) Intent StatementThe elements or components shall be designed so as not to transfer to the structure any forces unaccounted for in the design, and rigid elements such as walls or panels shall satisfy the requirements of Sentence 4.1.8.3.(6).
12) Intent StatementSeismic restraint for suspended equipment, pipes, ducts, electrical cable trays, etc. shall be designed to meet the force and displacement requirements of this Article and be constructed in a manner that will not subject hanger rods to bending.
13) Intent StatementIsolated suspended equipment and components, such as pendent lights, may be designed as a pendulum system provided that adequate chains or cables capable of supporting 2.0 times the weight of the suspended component are provided and the deflection requirements of Sentence (11) are satisfied.
Table 4.1.8.18.
Elements of Structures and Non-structural Components and Equipment
Forming part of Sentence 4.1.8.18.(1)
Category

Part or Portion of Building

Cp

Ar

Rp

1

All exterior and interior walls except those in Category 2 or 3(1)

1.00 1.00 2.50
2

Cantilever parapet and other cantilever walls except retaining walls(1)

1.00 2.50 2.50
3

Exterior and interior ornamentations and appendages(1)

1.00 2.50 2.50
4

Floors and roofs acting as diaphragms(2)

- - -
5

Towers, chimneys, smokestacks and penthouses when connected to or forming part of a building

1.00 2.50 2.50
6 Horizontally cantilevered floors, balconies, beams, etc. 1.00 1.00 2.50
7 Suspended ceilings, light fixtures and other attachments to ceilings with independent vertical support 1.00 1.00 2.50
8 Masonry veneer connections 1.00 1.00 1.50
9 Access floors 1.00 1.00 2.50
10 Masonry or concrete fences more than 1.8 m tall 1.00 1.00 2.50
11 Machinery, fixtures, equipment, ducts and tanks (including contents)      
that are rigid and rigidly connected(3) 1.00 1.00 1.25
that are flexible or flexibly connected(3) 1.00 2.50 2.50
12

Machinery, fixtures, equipment, ducts and tanks (including contents) containing toxic or explosive materials, materials having a flash point below 38°C or firefighting fluids

     
that are rigid and rigidly connected(3) 1.50 1.00 1.25
that are flexible or flexibly connected(3) 1.50 2.50 2.50
13

Flat bottom tanks (including contents) attached directly to a floor at or below grade within a building

0.70 1.00 2.50
14

Flat bottom tanks (including contents) attached directly to a floor at or below grade within a building containing toxic or explosive materials, materials having a flash point below 38°C or firefighting fluids

1.00 1.00 2.50
15 Pipes, ducts, cable trays (including contents) 1.00 1.00 3.00
16 Pipes, ducts (including contents) containing toxic or explosive materials 1.50 1.00 3.00
17 Electrical cable trays, bus ducts, conduits 1.00 2.50 5.00
18 Rigid components with ductile material and connections 1.00 1.00 2.50
19 Rigid components with non-ductile material or connections 1.00 1.00 1.00
20 Flexible components with ductile material and connections 1.00 2.50 2.50
21 Flexible components with non-ductile material or connections 1.00 2.50 1.00
Notes to Table 4.1.8.18.:

(1) See Sentence 4.1.8.18.(8).
(2) See Sentence 4.1.8.18.(9).
(3) See Sentence 4.1.8.18.(4).