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859_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

859_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 11.3 Critical Loads of Columns with Pinned Supports 853 Solution 11.3-5 C OLUMN CD ( STEEL ) Square cross section: Factor of safety: I b 4 12 I 0.422 in. 4 n 1.8 b 1.5 in. d L 2 d 15 in. E 10 * 10 6 psi L 30 in. Beam ACB ; Q allow P allow 3 Q allow 23.8 k © M A 0 Q P 3 P allow P cr n P allow 71 k P cr p 2 EI (0.6 L ) 2 P cr 129 k Problem 11.3-6 A horizontal beam AB is pin-supported at end A and carries a load Q at joind B , as shown in the figure part (a). The beam is also supported at C by a pinned-end column of length L . The column has flexural rigidity EI . (a) For the case of a guided support at A (figure pare (a)), what is the critical load Q cr ? (In other words, at what
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