________________________________________________________________________ PROBLEM (12.71) Determine the midspan deflection of a cantilever beam loaded as shown in Fig. P12.71. Employ the unit-load method. SOLUTION x w0 L wo A L x 1N A B L/2 C L/2 B Segment AC: m1 = x Segment BC: m2 = 0 w0 x 3 1 w0 x x M =− x =− 2 L 3 6L Therefore, 1 L Mm dx EI ∫0 EI 1 L 2 w0 x 3 1 (− )(0) + = ∫ 0 6L EI EI 4 31 w0 L = ↓ 960 EI vC = w0 x 3 ∫L / 2 ( x)(− 6 L )dx L 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.