Question

Consider the beam shown in (Figure 1). Suppose that F1= 5.4 k , F2= 10.8 k , F3= 3.6 k , and F4 = 7.2 k

Determine the magnitude of the absolute maximum shear in the beam due to the loading shown.

F, EF, = =0=0 5 ft 3 ft 3 ft -30

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Answer #1

The maximum shean occurs when the moving Loads are positioned either with the 5.4k force just right to support at A, fig (1)Ay = 21.6k now Refening to fig (6) G+ EMA = 0; By (30) – 5.4(19)– 10.8 (24) - 3.6(27) - 7.2(30) = 0 By = 22.5k I so , max cabSo absolute maximum shear = 22.5 k

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