________________________________________________________________________ PROBLEM (10.157) A fixed-guided roller beam AB carries a uniform load of intensity w as shown in Fig. P10.157. Determine the reactions RA , MA , and MB for the beam. SOLUTION Equilibrium: w MA MB B RA L A y tangent at A A ∑ M = 0 :M ∑F = 0: R A A L + M B − wL( ) = 0 (1) 2 = wL Since both tangent at A and tangent at B are horizontal, θ B A = 0 . B Thus θB A = 0 = ( tangent at B M/EI A1 O -wL2/2 A2 L/3 Parabolic spandrel or MB B MB 1 wL2 )( L) + (− )( L) 3 2 EI EI x wL2 6 Equation (1) gives then wL2 MA = 3 MB = 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.