Question: As shown in Example 8.7, the bending moment M and shear force F acting in a beam satisfy the differential equation In Example 8.42, we

As shown in Example 8.7, the bending moment M and shear force F acting in a beam satisfy the differential equation

F = dM dx

In Example 8.42, we showed that for a continuously non-uniformly loaded beam which is freely hinged at both ends the shear force F is given by

F(x) = [2Wx/1 - W/2 [W/22W(1-x)/1 0x1/2 1/2 x 1

Given that M = 0 at x = 0, find an expression for M(x) at a general point.

F = dM dx

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