If p = 500 lb and l = 12 ft.. what are the magnitudes of latex: w_1. :w_2 w 1 . w 2 ?

2P If P = 500 lb and L = 12 ft., what are the magnitudes of w1, w2 ?

Answer

Consider the beam subjected to two concentrated loads and a linearly varying distributi on on its bottom Divide the varying load into one rectangle and one triangular load. 2P Apply the vertical equilibrium condition, to find the load intensities w and w 2 2L 6P 6P WAE_ Apply the moment equilibrium at right end, to find the load intensities w and w 4 P 3L 8P

Substitute equation (1) in equation (2) 8P 6P 8P 2P 2P Substitute for wi in equation (1) 6P 6P 2P 4P Substitu te 500 lb for P., and 12 ft for L in equation (3) 2P 2 x500 12 w 83.33 Ib/ft Substitute 500 lb for P, and 12 ft for L in equation (4) 4P 4x 500 12 w.= 166.67 lb/ft

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