470_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

470_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 05Ch05.qxd 9/25/08 464 2:29 PM Page 464 CHAPTER 5 Stresses in Beams (Basic Topics) Solution 5.10-11 Square box beam a Q V 28 k t1 1.0 in . b 12 in. b1 b2 b ba b 2 4 13 (b 8 28,000 lb b3) 1 91.0 in.3 1424 psi (894.67 in.4)(2.0 in.) ; 1.42 ksi 10 in. b2 b1 1 ba b 2 4 (28,000 lb)(91.0 in.3) VQ It tmax a MINIMUM SHEAR STRESS IN THE WEB (AT LEVEL A.A) t VQ It t 2t1 2.0 in . Q MOMENT OF INERTIA I 14 (b 12 b4) 1 t1 4 Q A1y1 A2 b1 a y1 1b ab 22 b A2y2 A1 b ba b 2 b2 2 Q b 4 1 b1 ab 22 bt1 b (b 2 t1) b2) 1 (10 in.)2] 66.0 in.3 (28,000 lb)(66.0 in.3) VQ It tmin a b2 (b 8 Q 1033 psi (894.67 in4)(2.0 in.) ; 1.03 ksi y2 t1 b 2 b 2 (12 in.) [(12 in.)2 8 b2 1 2 b1 b 2 b1 2 894.67 in. MAXIMUM SHEAR STRESS IN THE WEB (AT NEUTRAL AXIS) (bt1) a Ay b1 4 y Problem 5.10-12 The T-beam shown in the figure has cross-sectional dimensions as follows: b 220 mm, t 15 mm, h 300 mm, and h1 275 mm . The beam is subjected to a shear force V 60 kN. Determine the maximum shear stress tmax in the web of the beam. t h1 z C c b Probs 5.10.12 and 5.-10.13 Solution 5.10-12 h 300 mm h1 b 210 mm t tf h V 68 kN tf LOCATION OF NEUTRAL AXIS 16 mm 20 mm h1 280 mm c b1 h h12 a h b1 h c c c2 h 2 b + t h1 a h h12 + t h1 87.419 mm c1 h1 c1 c c2 87.419 mm 212.581 mm h1 b 2 h ...
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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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