PROBLEM 3.95 BEER BOOK, Ejercicios de Mecánica

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PROBLEM 3.95 An antenna is guyed by three cables as shown. Knowing that the tension in cable AB is 288 lb, replace the force exerted al 4 by cable 48 with an equivalent force-couple system at the center O of the base of the antenna. SOLUTION We have dis =(E64 + (1284 +(16)* Then Tis = DP esi-128j+16k) = (32 Ibi-4i—8j+k) Now M=Mo =TFao XT =128jx 32(Ai-8j+k) = (4096 lb-f)i+(16,384 ll ft)k The equivalent foree-couple system at 0 is F=-(128.0 Mbji—(256 Ib)j+(32.0 lb)k 4 M=(4.10 kip-ft)i+(16.38 kip-f)k «4