A simply supported beam has a span of 10m. A 7m long udl of 10 kN/m intensity crosses the beam from left to right . When the head of the load is 1m from the right support , find the support reactions , BM and SF at the mid - span using the influence line diagram.

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Influence Lines

The graphs that show the variation of a function at a specific point on a beam or truss due to a unit load placed at any point along the structure are known as influence lines in engineering. Some common functions that are studied with influence lines are shear, moment, and deflection. In designing beams and trusses, it is important to use influence lines in structures where loads would move along their span such as bridges, crane rails, conveyor belts, floor girders, etc. The influence lines help to study where a load will create the maximum effect for any of the functions.