503_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

503_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 06Ch06.qxd 9/24/08 5:32 AM Page 497 6 Stresses in Beams (Advanced Topics) Composite Beams When solving the problems for Section 6.2, assume that the component parts of the beams are securely bonded by adhesives or connected by fasteners. Also, be sure to use the general theory for composite beams described in Sect. 6.2. y Problem 6.2-1 A composite beam consisting of fiberglass faces and a core of particle board has the cross section shown in the figure. The width of the beam is 2.0 in., the thickness of the faces is 0.10 in., and the thickness of the core is 0.50 in. The beam is subjected to a bending moment of 250 lb-in. acting about the z axis. Find the maximum bending stresses sface and score in the faces and the core, respectively, if their respective moduli of elasticity are 4 106 psi and 1.5 106 psi. 0.10 in. z 0.50 in. C 0.10 in. 2.0 in. Solution 6.2-1 Composite beam b hc 2 in. h 0.5 in. E1 4 I1 b3 (h 12 I2 bh3 c 12 0.7 in. M 250 lb-in. 6 10 psi E1I1 + E2I2 h3) c E2 1.5 106 psi 0.03633 in.4 0.02083 in.4 From Eq. (6-6b): score 176,600 lb-in.2 From Eq. (6-6a): sface ; M(h/2)E1 E1I1 + E2I2 ; 1980 psi ; M(hc / 2)E2 E1I1 + E2I2 ; 531psi ; ; 497 ...
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