839_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

4 23 beam on three springs case 5 table g 2 db1 11pl3

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Unformatted text preview: m on three springs (Case 5, Table G-2) (dB)1 11PL3 P + 2k 768EI (dA)2 RB 2k (dC)2 RB 2k (dB) 2 RBL3 1 [(dA) 2 + (dC) 2 ] + 2 48EI Select RB as the redundant. EQUILIBRIUM RA 3P 4 RB 2 RC P 4 RB 2 RELEASED STRUCTURE AND FORCE-DISPL. EQS. RBL3 RB + 2k 48EI COMPATIBILITY (dB)1 (downward) (upward) (dB)2 RB k Substitute and solve: RB Pa (dA)1 3P 4k Let k * (dC)1 P 4k RB (dB)1 1 [(d ) + (dC)1 ] + 2 A1 L P a b c 3L2 4 48EI L2 4a b d 4 833 384 EI + 11kL3 b 1152 EI + 16 kL kL3 EI (nondimensional) P 384 + 11 k * a b 16 72 + k * ; ; RC...
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