1. For the beam shown in the figure below, draw the influence lines for Ra, Re, Re, Va and M, and determine the following maximum responses due to a concentrated live load of "a" kN, a uniformly distributed live load of "b" kN/m, and a uniformly distributed dead load of "c" kN /m. a. Maximum upward reaction at A in kN, put "O" if none. a = 45 kN b = 44 kN/m b. Maximum upward reaction at C in kN, put "0" if none. c. Maximum upward reaction at E in kN, put "0" if none. c= 15 kN/m d. Maximum negative shear at B in kN, put "O" if none. e. Maximum positive moment at B in kN-m, put "O" if none. A E F 2m - 2m 4.5m 2.0m 3.0m 1.5m -

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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.