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A reinforced concrete beam is subjected to the following bending moments:
Dead load — 20 kN-m
Live load — 30 kN-m
Seismic load — 10 kN-m
The design bending moment for limit state of collapse is
  • a)
    60 kN-m
  • b)
    75 kN-m
  • c)
    72 kN-m
  • d)
    80 kN-m
Correct answer is option 'B'. Can you explain this answer?
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A reinforced concrete beam is subjected to the following bending momen...


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A reinforced concrete beam is subjected to the following bending momen...
Design Bending Moment for Limit State of Collapse

The design bending moment for limit state of collapse is the maximum bending moment that a reinforced concrete beam can withstand without collapsing. It is calculated by adding the bending moments due to different loads acting on the beam.

Given Data

Dead Load = 20 kN-m
Live Load = 30 kN-m
Seismic Load = 10 kN-m

Calculation

Total Bending Moment = Dead Load + Live Load + Seismic Load
Total Bending Moment = 20 kN-m + 30 kN-m + 10 kN-m
Total Bending Moment = 60 kN-m

The design bending moment for limit state of collapse is usually taken as 1.25 times the maximum bending moment. Therefore,

Design Bending Moment for Limit State of Collapse = 1.25 x Total Bending Moment
Design Bending Moment for Limit State of Collapse = 1.25 x 60 kN-m
Design Bending Moment for Limit State of Collapse = 75 kN-m

Therefore, option 'B' (75 kN-m) is the correct answer.
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Community Answer
A reinforced concrete beam is subjected to the following bending momen...
ACCORDING TO IS 875 PART 5 & IS 456 GAMMA f FOR the load combinations are
1.5(DL+LL)
1. 2(DL+LL+EL)

So 1.5(20+30)=75KN-M
1.2(20+30+10)=72 KN-M

SO DESIGN BENDING MOMENT FOR LSM COLLAPSE IS 75 KN-M.. ANS IS B.
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