Draw the influence line diagram for bending moment at A for the frame shown. Then using this ILD find maximum positive and maximum negative bending moment at A due to the load train shown. 30kN 50kN 40kN P 5m Q 4m R B 6m E A 6m hinge D 12m 12m 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.