2. Draw the influence line for (a) the vertical reaction at A, (b) the shear at C, (c) the moment at C, (d) the shear D of the simple beam with overhang. 2m D 4m A 6 m * C 6 m B (e) What is the maximum shear at C due to a concentrated live load P = 25 kN? Show with a sketch where the load will be applied to obtain the maximum value. (f) What is the maximum negative moment at C due to a uniform live load with intensity 15 kN/m? Show with a sketch where the load will be applied to obtain the maximum value. W=

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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.