Question

A Semi-infinite beam is loaded by force P at distance a from its end, as shown in figure. (a) Obtain formulas for deflection, slope, moment, and shear force, Using the results from part (a), consider a 2-m-long steel bar (E = 210 GPa) of 75mm´75mm square cross section that rests with a side on a rubber foundation with a modulus of k = 24 MPa. If a concentrated load P = 100 kN is applied at the distance of a = 0.30 m, (b) Calculate Maximum bending stress inside the beam, (c) Calculate the maximum deflection and the maximum force per unit length between beam and foundation.

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