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Loads and Load Combinations for

NBCC

Prepared by Dr Michael Bartlett, P.Eng University of Western Ontario

Presented with minor modifications by Dr Robert Sexsmith, P.Eng. University of British Columbia

CSCE Workshop – NBCC Loads and Seismic Design 2004 June 10, Calgary AB

Outline

• Companion Action Principle • Review of NBCC 1995

– Snow Load Factor

– Return Period on Environmental Loads • NBCC 2004 Provisions

– Dead Loads & Load Effects – Load Combinations

– Impact on Design Load Effects • Summary

(2)

NBCC 1995 Format

IR > DD D + \J^DLL + DQ Q + DT T` where \ = load combination factor

J = importance factor • NBCC 1995 Load Combinations: 1.25 D + 1.5 L 1.25 D + 1.5 Q (wind) 1.25 D + 0.7 {1.5 L + 1.5 Q (wind)} = 1.25 D + 1.05 L + 1.05 Q (wind)

note that snow is (was!) included with live

Reminder

• These are combinations of EFFECTS

– ie Axial force in a column, moment in part of a frame,

etc

A – we can apply to the structure the combined factored load and find the resulting effect

OR

B- we can apply unfactored loads of each type, and then calculate the combined factored effect. This is easier to automate, but only valid for linear structures.

(3)

Time History of Loading

time Load Dead Renovation Sustained Live Snow Transient Live/Wind Maximum Load

Turkstra’s Rule (early ’80s)

Worst case of combined transient loads

occurs when:

• one load,

the principal action

, is its

extreme value

• other loads,

the companion actions

, are

the largest that would be expected while

the principal action has its extreme value

(4)

Companion Action Format

IR > DD D + DiSi + 6Dik Sk, i zk

where Si = principal action Sk= companion actions Typical Load Combinations:

1.25 D + 1.5 L + 0.4 W (wind) 1.25 D + 1.4 W (wind) + 0.5 L

Companion Action Format

• Better represents the situation of one

extreme event with the other loads that

may be acting

• Permits logical extensions for special

(5)

Designer can Envisage Hazards

• Correlation of transient loads explicitly

considered

• Can you imagine a structure where

simultaneous maximum values of

transient loads are:

– unlikely?

– expected?

1995 NBCC Reliability Indices

0 1 2 3 4 0 1 2 3 4 5

Nominal variable load/nominal dead load

Reliab ility i n d ex (50-year) D + W D + L D + S

(6)

2000/2001 Failures: Sarnia Mall

Source: Globe and Mail 2000 December 09

Collapse

Return Period for Environmental

Loads

• NBCC 1995 specifies:

– 30 years for specified Snow, Wind – 10 years for Wind for Deflections

– 100 years for wind on Important Structures

• Use 50 year or 500 year return periods

(only) for 2004 NBCC?

• Ratio n-yr/30-yr depends coefficient of

(7)

Specified Load Return Period

0 0.5 1 1.5 2 0.00 0.05 0.10 0.15 0.20 0.25 0.30

COV of Maximum Annual Wind Velocity

n-y e ar press ure / 30 -y ear p ressure 90% of values in this range mean 1-in-10 1-in-50 1-in-100 1-in-500 Note: if we used 1/500 values we could drop the load factor

NBCC 2004 Calibration Process

1. Reliability indices for 1995 NBCC

2. Preliminary load combinations for 50-yr, 500-yr loads by Bartlett, Hong & Zhou

review by Part 4 Task Group on Snow & Wind Loads

review by Part 4 Standing Committee 3. Revised load combinations, 50-yr loads

review by Task Group and Part 4 committee

(8)

Proposed 1.2 D Criticized

• History: 1.3 proposed for 1975 NBCC

reduced to 1.25 to maintain same ratio of

dead/live load factor as in ACI 318-71

• Specific concerns:

– floor thickness variability

– dead load of soil & landscaping – tributary area computation

2000 Survey:

Concrete Floor Thickness

• Marked variability for

– Cast-in-place toppings on precast – Cover slabs in unshored composite

construction (no specified tolerances?)

• “Uncertain D” with load factor of 1.5

considered but not adopted

• Make allowances for extra dead load

(9)

Tributary Areas in NBCC

Commentary G: lines of zero shear halfway between column lines

• Safe for corners • Unsafe for 1st interior columns a (typ) 0.5a 0.55a 0.55a 0.5a

Note: problem with low D factor when “approximations” are used

2004 NBCC Combinations

1.4 D

1.25 D + 1.5 L + (0.4 W or 0.5 S)

1.25 D + 1.4 W + (0.5 L or 0.5 S)

1.25 D + 1.5 S + (0.5 L or 0.4 W)

0.9 D + (1.5 L or 1.4 W or 1.5 S)

Add to all combinations:

P = prestress

H = horizontal earth pressures

(10)

50-yr Wind & Snow Specified

• typically ~10% greater than 30-yr values

• snow load factor initially 1.7, implies a

25% increase in factored load, deemed

too big.

• modify for importance categories based

on use & occupancy

• reduce for SLS checks

Importance Factors for S, W

Importance Ultimate Serviceability Category (Snow or Wind) Snow Wind

Low 0.8 0.9 0.75 Normal 1.0

High 1.15

(11)

Impact: Single Transient Load

0.98 1.00 1.02 1.04 1.06 1.08 1.10 0 1 2 3 4 5

Transient-to-dead load ratio

P rop ose d /N B C C 19 95 D+W D+S D+L

Up to 8% increase for high snow/dead ratio

Up to 2% increase for high wind/dead ratio

Uncoupling Snow & Live

• Members resisting low D, high L (use +

occupancy), high S require less

resistance.

• Logical consequence of considering Live

and Snow as independent

• Similar format adopted in ASCE-7 based

(12)

Impact: D+L+S

0.7 0.8 0.9 1.0 1.1 1.2 0 1 2 3 4 5

Live-to-dead load ratio, L/D

Proposed/1995 NBCC S/D = 0.25 0.5 1.0 2.0 4.0

Impact: D+L+W

0.7 0.8 0.9 1.0 1.1 1.2 Proposed/1995 NBCC W/D = 4.0 2.0 1.0 0.25 0.5

(13)

Impact: D+W+S

0.7 0.8 0.9 1.0 1.1 1.2 0 1 2 3 4 5

Snow-to-dead load ratio

Propos e d /1 9 9 5 NBCC W/D = 4.0 2.0 1.0 0.5 0.25

Summary

1. Companion action load combination

format proposed for NBCC 2004:

more realistic representation

permits logical decisions for unusual cases

little difference for many members

consistent with other international standards (ACI 318, AISC LRFD, etc.)

(14)

2. Dead loads:

make allowance for extra thickness of thin toppings

tributary areas for first interior columns

3. Snow loads are no longer classified with

live loads due to use and occupancy.

less resistance needed for members carrying snow and live loads

4. Only 50 year environmental loads

specified:

increases specified loads by ~ 10%

additional increases for important and post-disaster buildings

load factors less than 1.0 reduce specified loads for serviceability checks.

5. New load combinations give similar

demands to NBCC 1995:

less demand due to snow & live loads

(15)

6. New load combinations have been

reviewed by various committees

Additional references: papers by

Bartlett, Hong & Zhou in Canadian

Journal of Civil Engineering

Acknowledgements

• National Research Council of Canada • Natural Sciences & Engineering Research

Council of Canada

• NBC Part 4 Task Group on Snow and Wind

Loads (D. E. Allen, Chair)

• Canadian Meteorological Centre

• Steel Structures Education Foundation • J. G. MacGregor

• Michael Bartlett (who prepared this

presentation and permitted its use for this CSCE short course)

References

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