________________________________________________________________________ PROBLEM (10.106) A beam ABC with simple supports at A and B carries a uniform load of intensity w over the overhang BC as shown in Fig. P10.106 and discussed in Example 10.19. The beam is constructed of a W 10 x 33 shape (see Table B.8). Calculate: (a) The deflection at point C. (b) The slope at point A. (c) The maximum deflection between supports. Given: w = 6 kips/ft, L = 6 ft, E = 30 x 106 psi SOLUTION Table B.8: I = 170 in.4 (a) Use Eq.(10.53): vC = 11 wL4 11(6 12)(103 )(6 × 12) 4 = 0.075 in. ↓ = 384 EI 384(30 × 106 )(170) (b) Apply Eq.(10.54): wL3 (6 12)(103 )(6 × 12)3 θA = = 0.762 × 10−3 rad = 6 48 EI 48(30 × 10 )(170) (c) From Eq.(10.55): vD = wL4 (6 12)(103 )(6 × 12) 4 = = 0.021 in. ↑ 72 3EI 72 3(30 × 106 )(170) 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.