A simply supported beam AB has the bending moment diagram as shown in the following figure. The beam is possibly under the action of following loads:
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  1. Couples of M at C and 2M at D
  2. Couples of 2M at C and M at D
  3. Concentrated loads of M/L at C and 2M/L at D
  4. Concentrated loads of M/L at C and couple of 2M at D

Answer (Detailed Solution Below)

Option 1 : Couples of M at C and 2M at D
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Detailed Solution

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Concept:

The BMD is linear between A and B. It implies that there is no load acting on these segment. there is sudden change of moment and similarily there is sudden change of moment at point. So, couple will act at these points. The magnitude of couple is calculated by calculating the change in BM at these points.

Calculation:

Couple acting at C = Change in BM at C

= 0 - (-M) = M

and, couple acting at D = change in BM at D

= M - (-M) = 2M

Hence, there are couples of M at C and 2 M at D.

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