________________________________________________________________________ PROBLEM (*11.77) Determine the largest permissible length L for a timber column shown in Fig. P11.77. Given: E = 10.4 GPa, P = 15 kN Assumption: The board is taken to be pin-supported at its ends. *SOLUTION Assume that Eq.(11.32) applies. 0.3E P σ all = = Le = L 2 ( Le d ) A or 0.3(10.4)(109 ) 15(103 ) = ( L 0.035) 2 (0.035)(0.14) Solving L = 1.117 m = 1,117 mm We have L 1,117 = = 31.9 d 35 Check: 26 ≤ L d ≤ 50, the solution is valid. 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.