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Consider the following statements with regards to the shear force diagram for the beam ABCD: 1. The beam ABCD is an overhanging beam having supports at A and D only. 2. The beam carries a point load of 20 kN at C. 3. The beam carries a concentrated load of 10 kN at the end B. 4. The beam is an overhanging beam having supports at C and D only. 5. The beam carries a uniformly distributed load of 70 kN over the left hand portion AC only. Which of the above statements are correct?

Consider the following statements with regards to the shear force diagram for the beam ABCD: 1. The beam ABCD is an overhanging beam having supports at A and D only. 2. The beam carries a point load of 20 kN at C. 3. The beam carries a concentrated load of 10 kN at the end B. 4. The beam is an overhanging beam having supports at C and D only. 5. The beam carries a uniformly distributed load of 70 kN over the left hand portion AC only. Which of the above statements are correct? Correct Answer 1, 3 and 5 only

Concept:

The first derivative of shear force is the rate of loading. So the ordinate of load at any point is the slope of shear force diagram at that point. So one can obtain the loading diagram by simply observing the rate of change of shear force.

Reaction at A = 50 KN (as S.F at a = 50 KN)

After point A shear force is linearly varying, so an udl must be there.

Value of udl = (50-(-20))/3.5 = 20 KN/m

Then from point C to D shear force is constant, so no load is present between point C & D.

At point D, load will be 20 + 10 = 30 KN

At point B there will be a point load of magnitude 10 KN. 

So from the above load diagram, we can conclude that statements 1,3 and 5 are correct.

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