________________________________________________________________________ PROBLEM (10.56) An overhang beam ABC supports a concentrated load P as shown in Fig 10.56. what is the deflection at the free end C ? SOLUTION P L/2 A L C B P/2 = 3P/2 P P A L + B PL/2 A B θB C The displacement of C is produced by the rotation of B and deflection of the segment BC as cantilever. Using Table B.14: L P( L 2) L P( L 2) PL3 vC = (vC ) M + (vC ) P = θ B ( ) + (vC ) P = − ( )− = ↓ 3EI 2 24 EI 8EI 2 and ( P L 2) L P( L 2) 2 7 PL2 = θC = (θC ) M + (θC ) P = − − 3EI 2 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.