A lightweight beam of length l is clamped horizontally at both ends. It carries a concentrated load

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A lightweight beam of length l is clamped horizontally at both ends. It carries a concentrated load W at a distance a from one end (x = 0). The shear force F and bending moment M at the point x on the beam are given by

F = and M = W(1-a)(1 + 2a) 1 -Wa (31 - 2a) 13 (0 < x

Draw the graphs of these functions. Use Heaviside functions to obtain single formulae for M and F.

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