________________________________________________________________________ PROBLEM (10.107) A cantilever beam AB supports a couple moment M0 at the free end A as shown in Fig. 10.107. Determine the vertical displacements of points A and C for this beam. SOLUTION The M EI diagram and elastic curve of the beam is as shown below. M/EI L/2 L/2 A A1 A1 L/4 A tA/B C tC/B We have A2 = 2 A1 . Thus vA = t A B B x L = A2 ( ) -M0 2 M L = (− 0 )( L)( ) EI 2 2 M 0 L M 0 L2 B =− = ↓ 2 EI 2 EI L at A M L L Tangent vC = tC B = A1 ( ) = (− 0 )( )( ) 4 EI 2 4 2 2 M L M L =− 0 = 0 ↓ 8EI 8 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.