A finite cast-iron beam of width b, depth h, and length L, resting on an elastic foundation of modulus k, is subjected to a concentrated load P at midlength and a uniform load of intensity p. Calculate the maximum deflection and the slope. Given: E = 70 GPa (Table D.1), b = 100 mm, h = 180 mm, L = 400 mm, P = 8 kN, p = 7 kN/m, and k = 20 MPa.
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