Question 9.17: A simple beam AB supports a uniform load of intensity q = 1....
A simple beam AB supports a uniform load of intensity q = 1.5 k/ft and a concentrated load P = 5 k (Fig. 9-40). The load P acts at the midpoint C of the beam. The beam has length L = 8.0 ft, modulus of elasticity E = 30 × 10^{6} psi, and moment of inertia I = 75.0 in.^{4}
Determine the downward deflection \delta_{C} at the midpoint of the beam by the following methods: (1) Obtain the strain energy of the beam and use Castigliano’s theorem, and (2) use the modified form of Castigliano’s theorem (differentiation under the integral sign).
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