A simply supported beam of span 5 m is loaded with a uniformly distributed load of intensity 10 kN/m over a length of 2 m as shown in the figure. Determine the position (distance measured from A) at which shear force is zero.

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DDA JE Civil Official Paper (Held On: 28 Mar, 2023 Shift 2)

Answer 1

F2 Savita Engineering 19-5-23-D2

From the shear force diagram, we can say that

\({12 \over {2-x} } = {8\over x}\)

x = 0.8

So, the distance of the point where force is 0 will be 3 - 0.8 = 2.2 m from point A

Alternate MethodLet X be the distance from C where the SF is 0, Writing the SF equation from A, we get

12 - X × 10

X = 1.2 from point C

So, the distance of 0 shear force from point A will be 1 + 1.2 = 2.2 m