Problem 6 Using the Muller-Breslau's Principle, draw the influence lines of the following response functions for the beam shown below. 1) Vertical reactions at supports A, B, and F 2) The end moment at point F 3) Shear to the left of support B 4) Shear at E Á B ₁8m- hinge (E) n————▬▬▬▬4 m-√— 4 m▬-|-—+m−|4m| F

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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.