02-01ChapGere.0001

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63 Changes in Lengths of Axially Loaded Members Problem 2.2-1 The T-shaped arm ABC shown in the figure lies in a vertical plane and pivots about a horizontal pin at A . The arm has constant cross-sectional area and total weight W . A vertical spring of stiffness k supports the arm at point B . Obtain a formula for the elongation of the spring due to the weight of the arm. Solution 2.2-1 T-shaped arm 2 Axially Loaded Members b b A B C k b F REE - BODY DIAGRAM OF ARM F tensile force in the spring elongation of the spring F k 4 W 3 k F 4 W 3 F ( b ) W 3 ¢ b 2 W 3 ¢ 3 b 2 W 3 (2 b ) 0 © M A 0 b b A B C F W 3 W 3 W 3 Problem 2.2-2 A steel cable with nominal diameter 25 mm (see Table
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