A beam AB 10 m long carries a uniformly distributed load of $20\text{…

Previous year question for MECHANICS OF SOLIDS.

Question

A beam AB 10 m long carries a uniformly distributed load of $20\text{ kN/m}$ over its entire length together with the concentrated load of $50\text{ kN}$ at the left end A and $80\text{ kN}$ at the end B. The beam is to be supported at two props at the same level, 6 m apart, so that the reaction is same at each. Determine the positions of the supports and draw the shear force and bending moment diagrams. Find the value of the maximum bending moment. Locate the points of contraflexure/inflexion, if any?

[Diagram showing beam AB with UDL and point loads]

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