A beam of length l, having uniform load of W kg per unit length, is supported freely at the ends. The moments at the mid-span will be

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BPSC AE Paper 4 (General Engineering Science) 2012 Official Paper
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Concept:

Simply supported beam of length (L) loaded with uniform loading intensity (w = W/L):

Bending Moment (Mx) at a section x-x is given by:

 

When plotted against x, bending moment gives rise to a parabolic curve and the shear force and bending moment can be drawn in the following way will appear as follows:

The maximum bending moment for a simply supported beam with a uniformly distributed load  

The bending moment at the mid-span 

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