Using the Muller-Breslau principle, sketch the appropriate shape of the influence line for the reaction at C. Show where to place a dead load of 1.5 kN/m, a moving distributed live load of 2 kN/m, and a moving live load of 100 kN for the maximum positive effect. Assume A is a pin and B and C are rollers. A B D C

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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.