________________________________________________________________________ PROBLEM (10.105) A cantilever beam AB supported by a rod AC at its free end A, carries a uniform load of intensity w (Fig. P10.105). Determine the force T in the rod. Assumptions: IE is the flexural rigidity of the beam and EA is the axial rigidity of the rod. Before the load is applied, the rod is free of force. SOLUTION Refer to Table B.14. w B (v A ) w A wL4 (v A )W = ↓ 8EI L T TL3 (v A )T = ↑ 3EI (v A )T δACompatibility condition at A: T δ A = (vA )W + (vA )T ; Solving, T= δA = Ta AE Ta wL4 TL3 = − AE 8EI 3EI 3wAL4 8 AL3 + 24aI 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.