506_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

506_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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500 CHAPTER 6 Stresses in Beams (Advanced Topics) P LYWOOD G OVERNS . (b) B ENT ABOUT THE Y AXIS M AXIMUM MOMENT BASED UPON THE WOOD M max_1 ± 170 k # in. M max_1 ± s allow_1 J E 1 I 1 + E 2 I 2 a b 2 b E 1 K E 1 I 1 + E 2 I 2 ± 2.37 * 10 8 lb # in. 2 I 2 ± 2 c t 3 h 12 + th a b + t 2 b 2 d I 2 ± 123 in. 4 I 1 ± b 3 ( h ² h 1 ) 12 I 1 ± 11 in. 4 M max ± 172 k # in. ; M max ± min ( M max_1 , M max_2 ) M AXIMUM MOMENT BASED UPON THE PLYWOOD P LYWOOD G OVERNS . M max ± 96 k # in. ; M max ± min ( M max_1 , M max_1 ) M max_2 ± 96 k # in. M max_2 ± s allow_2 J E 1 I 1 + E 2 I 2 a b 2 + t b E 2 K Problem 6.2-4 A round steel tube of outside diameter d and an brass core of diameter 2 d /3 are bonded to form a composite beam, as shown in the figure. Derive a formula for the allowable bending moment M that can be carried by the beam based upon an allowable stress
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Unformatted text preview: s s in the steel. (Assume that the moduli of elasticity for the steel and brass are E s and E b , respectively.) d S B 2 d /3 Solution 6.2-4 Tube (1): I 1 ± p 64 c d 4 ² a 2 d 3 b 4 d ± 65 5184 p d 4 M allow ± s s p d 3 2592 a 65 + 16 E b E s b ; M allow ± s s J E 1 I 1 + E 2 I 2 a d 2 b E s K ± p d 4 5184 (65 E s + 16 E b ) E 1 I 1 + E 2 I 2 ± E s I 1 + E b I 2 Core (2): I 2 ± p 64 a 2 d 3 b 4 ± p d 4 324 d S B 2 d /3 06Ch06.qxd 9/24/08 5:32 AM Page 500...
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This note was uploaded on 12/22/2011 for the course MEEG 310 taught by Professor Staff during the Fall '11 term at University of Delaware.

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