A 120 in.-long beam AB is attached to thewall with a pin at point A and to a 66
Chapter 11, Problem 11(choose chapter or problem)
A 120 in.-long beam AB is attached to thewall with a pin at point A and to a 66 in.longcable CD. A load W = 200 lb isattached to the beam at point B. The tensionin the cable T and the x andy components ofthe force at A (FAx and FAy) can be calculatedfrom the equations:F -T-d = Ax 0 LcF + T.JfT2d2.Lc -u--W = Ay 0 L cTji0F d- WL = 0 Lcwhere Land Lc are the lengths of the beam and the cable, respectively, and d isthe distance from point A to point D where the cable is attached.(a) Use MATLAB to solve the equations for the forces T, FAx, and FAy interms of d, L, Lc, and W. Determine FA given by FA = jFx + FY.(b) Use the subs command to substitute W = 200 lb, L = 120 in., andLc = 66 in. into the expressions derived in part (a). This will give theforces as a function of the distance d.(c) Use the ezplot command to plot the forces T and FA (both in the samefigure as functions of d, for d starting at 20 and ending at 70 in.(d) Determine the distance d where the tension in the cable is the smallest.Determine the value of this force.
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