Draw the influence lines for Ra, Rc, Re, Vd, and Md for the beam depicted in the accompanying figure, and then calculate the maximum responses as a result of concentrated live loads of 21.40 kN, uniformly distributed live loads of 41.50 kN/m, and uniformly distributed dead loads of 16.30 kN/m.

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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.