________________________________________________________________________ PROBLEM (10.65) The slope at the wall of the clamped beam shown in Fig. P10.65a is as seen in Fig. P10.65. Find the reaction on the roller at A. SOLUTION y w A 1 M = RA x − wx 2 2 V x 1 2 R EIv '' = RAA x − wx 2 1 1 EIv ' = RA x 2 − wx3 + C1 2 6 1 1 EIv = RA x 3 − wx 4 + C1 x + C2 6 24 Boundary conditions: v(0) = 0 : C2 = 0 RA L2 wL3 33 1 wL3 wL3 : , − + C1 = C1 = wL3 − RA L2 192 EI 2 6 192 192 2 3 4 4 3 RA L wL 33wL RA L 25 v( L) = 0 : − + − =0, RA = wL 6 24 192 2 64 v '( L) = 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.