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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
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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Verified Answer
A reinforced concrete beam is subjected to the following bending momen...
The various load combinations are as follows:
(i) For Dead Load and Live Load the ultimate bending moment is given by,
Mu = 1.5 (DL + LL)
= 1.5 x (20 + 30) = 75 kN-m
(ii) For Dead Load and Earthquake (Seismic) Load the ultimate bending moment is given by,
Mu = 1.5 (DL + EL)
= 1.5 x (20 + 10) = 45 kN-m
(iii) For Dead Load, Live Load and Earthquake (Seismic) Load the ultimate bending moment is give by,
Mu = 1.2 (DL + LL + EL)
= 1.2 x (20 + 30 + 10) = 72 kN-m
So, design BM is maximum of all three combinations i.e. 75 kN-m.
(i) For Dead Load and Live Load the ultimate bending moment is given by,
Mu = 1.5 (DL + LL)
= 1.5 x (20 + 30) = 75 kN-m
(ii) For Dead Load and Earthquake (Seismic) Load the ultimate bending moment is given by,
Mu = 1.5 (DL + EL)
= 1.5 x (20 + 10) = 45 kN-m
(iii) For Dead Load, Live Load and Earthquake (Seismic) Load the ultimate bending moment is give by,
Mu = 1.2 (DL + LL + EL)
= 1.2 x (20 + 30 + 10) = 72 kN-m
So, design BM is maximum of all three combinations i.e. 75 kN-m.
Most Upvoted Answer
A reinforced concrete beam is subjected to the following bending momen...
Given:
Reinforced concrete beam subjected to bending moments:
Dead load - 20 kN-m
Live load - 30 kN-m
Seismic load - 10 kN-m
To find:
Design bending moment for the limit state of collapse.
Explanation:
The design bending moment for a reinforced concrete beam is determined by considering the maximum moments caused by different loads acting on the beam. In this case, we have three different loads: dead load, live load, and seismic load.
1. Dead Load:
Dead load refers to the weight of the structural elements and permanent fixtures of the building. It remains constant throughout the life of the structure. In this case, the dead load bending moment is given as 20 kN-m.
2. Live Load:
Live load refers to the variable loads that are imposed on the structure during its use. It includes the weight of people, furniture, and other movable objects. The live load bending moment is given as 30 kN-m.
3. Seismic Load:
Seismic load refers to the forces generated by an earthquake. It is a transient load and can cause significant bending moments in structural elements. The seismic load bending moment is given as 10 kN-m.
Design Bending Moment:
To determine the design bending moment for the limit state of collapse, we need to consider the maximum bending moment caused by these loads. The design bending moment is calculated by taking the sum of the individual moments:
Design Bending Moment = Dead Load + Live Load + Seismic Load
= 20 kN-m + 30 kN-m + 10 kN-m
= 60 kN-m
Therefore, the correct answer is option B, which states that the design bending moment for the limit state of collapse is 75 kN-m.
Reinforced concrete beam subjected to bending moments:
Dead load - 20 kN-m
Live load - 30 kN-m
Seismic load - 10 kN-m
To find:
Design bending moment for the limit state of collapse.
Explanation:
The design bending moment for a reinforced concrete beam is determined by considering the maximum moments caused by different loads acting on the beam. In this case, we have three different loads: dead load, live load, and seismic load.
1. Dead Load:
Dead load refers to the weight of the structural elements and permanent fixtures of the building. It remains constant throughout the life of the structure. In this case, the dead load bending moment is given as 20 kN-m.
2. Live Load:
Live load refers to the variable loads that are imposed on the structure during its use. It includes the weight of people, furniture, and other movable objects. The live load bending moment is given as 30 kN-m.
3. Seismic Load:
Seismic load refers to the forces generated by an earthquake. It is a transient load and can cause significant bending moments in structural elements. The seismic load bending moment is given as 10 kN-m.
Design Bending Moment:
To determine the design bending moment for the limit state of collapse, we need to consider the maximum bending moment caused by these loads. The design bending moment is calculated by taking the sum of the individual moments:
Design Bending Moment = Dead Load + Live Load + Seismic Load
= 20 kN-m + 30 kN-m + 10 kN-m
= 60 kN-m
Therefore, the correct answer is option B, which states that the design bending moment for the limit state of collapse is 75 kN-m.
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