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Consider the following statement: A simply supported beam is subjected to a couple somewhere in the span. It would produce.
1. A rectangular SF diagram
2. Parabolic BM diagrams
3. both + ve and –ve BMs
which are maximum at the point of application of a couple of these statements-
  • a)
    1, 2 and 3 are correct
  • b)
    1 and 2 are correct
  • c)
    2 and 3 are correct
  • d)
    1 and 3 are correct
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Consider the following statement: A simply supported beam is subjecte...
∑Fy=0)
(RA⋅RB=0)
(∑MB=0)
(RAL−M=0)
(RA=M/L and RB=−(M/L))
Consider a section XX at a distance x from end B Shear force (SA−B=M/L)
Bending moment (Mx=Wx)
Hence the option D is correct.
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Most Upvoted Answer
Consider the following statement: A simply supported beam is subjecte...
A simply supported beam is a beam that is supported at its ends and is free to rotate and deflect under the applied load. When a couple is applied to a simply supported beam, it produces certain effects on the shear force (SF) and bending moment (BM) diagrams.

1. Rectangular SF Diagram:
When a couple is applied to a simply supported beam, it produces a constant shear force throughout the span. This shear force is equal in magnitude and opposite in direction at both ends of the beam. Therefore, the shear force diagram will be rectangular in shape with the same value at both ends.

2. Parabolic BM Diagrams:
A couple applied to a simply supported beam produces a bending moment that varies parabolically along the span. The maximum bending moment occurs at the point of application of the couple, and it decreases linearly towards the ends. This results in a parabolic shape of the bending moment diagram.

3. Both Positive and Negative Bending Moments:
When a couple is applied to a simply supported beam, it produces both positive and negative bending moments at different sections of the beam. The maximum positive bending moment occurs at the point of application of the couple, while the maximum negative bending moment occurs at the mid-span of the beam. These bending moments are equal in magnitude and opposite in sign.

Therefore, all three statements are correct:
1. The shear force diagram is rectangular.
2. The bending moment diagram is parabolic.
3. Both positive and negative bending moments are present, with maximum values at the point of application of the couple.

Hence, the correct answer is option 'D' - 1 and 3 are correct.
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Consider the following statement: A simply supported beam is subjected to a couple somewhere in the span. It would produce.1. A rectangular SF diagram2. Parabolic BM diagrams3. both + ve and –ve BMswhich are maximum at the point of application of a couple of these statements-a)1, 2 and 3 are correctb)1 and 2 are correctc)2 and 3 are correctd)1 and 3 are correctCorrect answer is option 'D'. Can you explain this answer?
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