Illustrate the Influence Line and calculate the maximum positive live shear at point C in kN subjected to 7 kN/m uniform live load, 90 kN live load and beam mass of 18 kg/m. Set L = 2 m, support A is pin and support B is roller.

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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.