Differential Equation Solve the problem and solution. SOLVE THE FOLLOWING PROBLEMS:Problem 215A uniform concrete slab of total weight W is to be attached, as shown in Fig. P-215, to tworods whose lower ends are on the same level. Determine the ratio of the areas of the rods sothat the slab will remain level.Figure P-215L = 10 ftAluminumE = 10 x 10° psiL = 4 ftSteelE = 29 x 10 psiL = 6 ftL = 6 ftTotal WeightW%3D3 ft6 ft1 ftFigure P-216 and P-217Problem 216As shown in Fig. P-216, two aluminum rods AB and BC, hinged to rigid supports, are pinnedtogether at B to carry a vertical load P0.60 in.2 and E = 10 × 106 psi, compute the elongation of each rod and the horizontal andvertical displacements of point B. Assume a = 30° and 0 = 30°.6000 lb. If each rod has a cross-sectional area ofB.P. Problem 217Solve Prob. 216 if rod AB is of steel, with E = 29 × 10° psi. Assume a = 45° and 0other data remain unchanged.= 30°; allProblem 218A uniform slender rod of length L and cross sectional area A is rotating in a horizontal planeabout a vertical axis through one end. If the unit mass of the rod is p, and it is rotating at aconstant angular velocity of w rad/sec, show that the total elongation of the rod is po² L°/3E.Problem 219A round bar of length L, which tapers uniformly from a diameter D at one end to a smallerdiameter d at the other, is suspended vertically from the large end. If w is the weight per unitvolume, find the elongation of the rod caused by its own weight. Use this result to determinethe elongation of a cone suspended from its base.

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A uniform concrete slab of total weight W is to be attached, as shown in Fig. P-215, to two rods whose lower ends are on the same level. Determine the ratio of the areas of the rods so that the slab will remain level.

A uniform concrete slab of total weight W is to be attached, as shown in Fig. P-215, to two rods whose lower ends are on the same level. Determine the ratio of the areas of the rods so that the slab will remain level.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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