is subjected to the loading condition shown below. Draw the influence lines for: A beam a) the support reactions (Ma, Ay, and Dy) and the shear and bending moment at point C using the equilibrium method. b) the shear immediately to the left of the internal hinge B as well as the bending moment at C using the Müller-Breslau principle.

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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.