The beam supports a uniform dead load of 3kN/m, a concentrated live load of 8kN, and a uniform live load of 4kN/m. A -3 m- PROBLEM 1 B -3 m -3 m D Draw the influence line and determine the maximum value for the vertical reaction at C. PROBLEM 2 Draw the influence line and determine the maximum value for the shear force just to the right of A. PROBLEM 3 Draw the influence line and determine the maximum value for the bending moment at point E which is 1m to the left of C (or 2m to the right of B).

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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.