________________________________________________________________________ PROBLEM (10.57) A cantilever AB carries a uniform load of intensity w over the half span CB, as shown in Fig. P10.57. Find the deflection at the free end B. SOLUTION w w a A C a B = + 2a A = (vC ) II = − a w Loading I Use Table B.14: w(2a ) 4 wa 3 ( vB ) I = − (θ B ) II = − 8 EI 6 EI and (vB ) II = (vC ) II + (θC ) II (a) A C a Loading II wa 4 8 EI wa 4 wa 3 7 wa 4 − (a) = 8EI 6 EI 24 EI Thus, vB = (vB ) I + (vB ) II =− 2wa 4 7 wa 4 41 wa 4 + = ↓ EI 24 EI 24 EI 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. B