The beam shown below is to be subjected to carry a 24 KN/m dead load, 27 KN/m live load and a series of wheel loads shown. Hinge E „Hinge 125 kN 100 kN 50 kN -2m3 m- – 4 m 4 m - 6 m - -6 m -3 m –-3 m Draw the influence line of the shear at D and determine the maximum positive and negative shear at D. b. Draw the influence line of the moment at D and determine the maximum positive and negative

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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.