_______________________________________________________________________ PROBLEM (9.46) A structural member is loaded as illustrated in Fig. P9.46. Determine the maximum tensile and compressive stresses for two cases: (a) The eccentricity is a = 2h. (b) The eccentricity is a = h/4. SOLUTION P P A Pa/L 2L/3 C h B L/3 Pa/L P b I = bh3 12 A = bh P x M 2Pa/3 x -Pa/3 Just to the left of C (i.e., M = 2Pa 3 ), at the bottom & top edges, respectively: P Mc P 4 Pa P 4 Pa σ bot = + = + 2 , σ top = − 2 A I bh bh bh bh Just to the right of C (i.e., M = 2Pa 3 ): Mc 2 Pa Mc 2 Pa σ bot = − =− 2 , σ top = =− 2 I bh I bh (a) To the left of C, for a = 2h : (σ bot )tens. = 9 P A (σ top )comp. = − 7 p A (b) To the left of C, for a = h 4 : (σ bot )tems. = 2 P A To the right of C, for a = h 4 : (σ bot )comp. = − 0.5 P A 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.