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**Uniformly Distributed Load**

Next, we study the problem of an infinite beam on an elastic foundation subjected to a uniformly distributed load of length L symmetrically on either side of the origin, as shown in figure 11.6. As before, we apply the principle of superposition to find the deflection at a point to be

(11.33)

Evaluating the integrals in equation (11.33) we obtain

(11.34)

Having found the displacement, (11.34), the variation of the bending moment along the axis of the beam obtained from (11.2) is:

(11.35)

and the shear force variation computed using (11.14) is:

(11.36)

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