The beam in the figure below is subjected to a concentrated live load of 15 kN, a distributed dead load of 4 kN/m, and a distributed live load of 8 kN/m. 1- Sketch the influence line for the reaction at C. 2- Sketch the influence line for the shear just to the left of C. 3- Sketch the influence line for the moment at A.

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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.