________________________________________________________________________ PROBLEM (10.55) A cantilever beam carries a concentrated force P and moment M = PL as shown in Fig. P10.55. Determine the deflection at the free end A. SOLUTION P PL A L/2 C L/2 B = P PL A L B + A C B (θC ) II Loading I Loading II For each loading, we determine the deflection at A, using Table B.14: Loading I: M A L2 PL3 = (v A ) I = 2 EI 2 EI Loading II: P( L 2)3 PL3 (vC ) II = − =− 3EI 24 EI L 10 PL3 (v A ) II = (vC ) II + (θC ) II ( ) = − 2 96 EI 3 2 PL P( L 2) L 10 PL3 =− − ( )=− 24 EI 2 EI 2 96 EI Deflection at A: 19 PL3 v A = (v A ) I + (v A ) II = ↑ 48 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.