The beam shown below will be subjected to a concentrated live load of 100 kN, a uniformly distributed live load of 50 kN/m and a uniformly distributed dead load of 20 kN/m. Using influence line, determine the length of the beam that must be subjected to the uniformly distributed live load so that the maximum positive shear at C will be induced.

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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.