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In a overhanging beam ABC, AB = L and BC = a, C being free end. If it is subjected to a vertical load W at free end, maixmum moment occurs at-
- a)A
- b)B
- c)C
- d)between A and B
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
In a overhanging beam ABC, AB = L and BC = a, C being free end. If it ...
As the support A is simply supported, the moment at A will be zero
As the nature of moment produced by W and Rb is different, the maximum moment could be possible at B only.
Bm at B, MB = Wa
BM at A, MA = W (L + a) – Rb × L
= 0
∴ the bending moment diagram will be. 
From the BM diagram if is clear that the maximum moment will be at B.
Most Upvoted Answer
In a overhanging beam ABC, AB = L and BC = a, C being free end. If it ...
Explanation:
- An overhanging beam is a type of beam that has one end unsupported and extending beyond its support.
- The beam ABC in this question is an overhanging beam with AB = L and BC = a, and C being the free end.
- When a vertical load W is applied at the free end C, the beam will bend and undergo deformation.
- The bending moment is the product of the load and the distance from the load to the point of interest.
- The maximum bending moment occurs at the point where the shear force changes sign. This is because the shear force is zero at this point, and the bending moment is maximum where the shear force changes sign.
- Therefore, the maximum moment in the beam will occur at point B, which is the point where the shear force changes sign.
- At point A, the shear force is negative, which means that the bending moment is decreasing towards point A.
- At point C, the shear force is positive, which means that the bending moment is increasing towards point C.
- Therefore, the maximum moment occurs between points A and B, and point B is the point of maximum moment.
Conclusion:
- In an overhanging beam, the maximum bending moment occurs where the shear force changes sign.
- In the beam ABC, the maximum moment occurs at point B, which is the point where the shear force changes sign.
- Therefore, the correct answer is option B.
- An overhanging beam is a type of beam that has one end unsupported and extending beyond its support.
- The beam ABC in this question is an overhanging beam with AB = L and BC = a, and C being the free end.
- When a vertical load W is applied at the free end C, the beam will bend and undergo deformation.
- The bending moment is the product of the load and the distance from the load to the point of interest.
- The maximum bending moment occurs at the point where the shear force changes sign. This is because the shear force is zero at this point, and the bending moment is maximum where the shear force changes sign.
- Therefore, the maximum moment in the beam will occur at point B, which is the point where the shear force changes sign.
- At point A, the shear force is negative, which means that the bending moment is decreasing towards point A.
- At point C, the shear force is positive, which means that the bending moment is increasing towards point C.
- Therefore, the maximum moment occurs between points A and B, and point B is the point of maximum moment.
Conclusion:
- In an overhanging beam, the maximum bending moment occurs where the shear force changes sign.
- In the beam ABC, the maximum moment occurs at point B, which is the point where the shear force changes sign.
- Therefore, the correct answer is option B.
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In a overhanging beam ABC, AB = L and BC = a, C being free end. If it is subjected to a vertical load W at free end, maixmum moment occurs at-a)Ab)Bc)Cd)between A and BCorrect answer is option 'B'. Can you explain this answer?
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