________________________________________________________________________ PROBLEM (10.115) Compute the slope and deflection at point D of the cantilever beam seen in Fig. P10.113 for a W 460 x 74 shape beam (see Table B.8). Given: w = 150 kN/m, a = 1 m, E = 200 GPa. SOLUTION Table B.8: I = 333 × 106 mm 4 3 wa A1 = − 6 EI 3 wa A2 = − 2 EI See solution of Prob.10.113: wa 3 A3 = − 2 EI The distances from point D to the centroid of each area are x1 = 3a 4 x1 = 3a 2 x1 = 5a 3 Thus, 7 wa 3 7(150 × 103 )(1)3 = θD = θB = 6 EI 6(200 × 109 )(370 × 10−6 ) = 2.36 × 10−3 rad t D / A = vD = A1 x1 + A2 x2 + A3 x3 or wa 4 41 wa 4 (3 + 18 + 20) = vD = − ↓ 24 EI 24 EI Substituting the given data: 41 150 × 103 (1) 4 = 3.85 mm ↓ vD = 24 (200 ×109 )(333 × 10−6 ) Excerpts from this work may be reproduced by instructors for distribution on a not-for-profit basis for testing or instructional purposes only to students enrolled in courses for which the textbook has been adopted. Any other reproduction or translation of this work beyond that permitted by Sections 107 or 108 of the 1976 United States Copyright Act without the permission of the copyright owner is unlawful.