For a structural member, dead load = 20 kN and live load = 12 kN. What will be its design load as per the limit state of collapse philosophy?

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  1. 20 kN
  2. 48 kN
  3. 32 kN
  4. 8 kN

Answer (Detailed Solution Below)

Option 2 : 48 kN
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Detailed Solution

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Concept:

Values of the factor of safety (partial) for load combination:

Load combination

Limit state of collapse

1) Dead load & live load

1.5(DL + LL)

2) Dead seismic/wind load

a) Dead load contributes to the stability

b) Dead load assists overturning

 

0.9 DL + 1.5 (EL/WL)

1.5 (DL + EL/WL)

3) Dead, live load, and Seismic/wind load

1.2 (DL + LL + EL/WL)


Where, DL = Dead load, LL = Live load WL = Wind load EL = Earthquake load

Calculation:

Given: Dead load (DL) = 20 KN and Live load (LL) = 12 kN

Partial factor of safety = 1.5 (DL + LL) = 1.5 (20 + 12) = 48 kN

Additional Information

Values of the factor of safety (partial) for load combination:

Load combination

Serviceability limit state

1) Dead load & live load

DL + LL

2) Dead seismic/wind load

a) Dead load contributes to stability

b) Dead load assists overturning

 

DL + EQ/WL

DL + EQ/WL

3) Dead, live load and Seismic/wind load

DL + 0.8LL + 0.8EQ/WL

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