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464_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 464_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 05Ch05.qxd 9/25/08 458 2:29 PM Page 458 CHAPTER 5 Stresses in Beams (Basic Topics) Problem 5.10-2 Dimensions of cross section: b h 380 mm, and V 420 mm, h1 180 mm, t 12 mm, 125 kN. Solution 5.10-2 Wide-flange beam b t 12 mm h 420 mm h1 380 mm V (b) MINIMUM SHEAR STRESS IN THE WEB (Eq. 5-48b) 180 mm 125 kN tmin 1 (bh3 12 bh3 + th3) 1 1 taver 343.1 * 106 mm4 V (bh2 8It bh2 + th2) 1 1 V th1 tmax taver ; 21.86 MPa 1.037 27.41 MPa ; ; (d) SHEAR FORCE IN THE WEB (Eq. 5-49) Vweb (a) MAXIMUM SHEAR STRESS IN THE WEB (Eq. 5-48a) tmax h2) 1 (c) AVERAGE SHEAR STRESS IN THE WEB (Eq. 5-50) MOMENT OF INERTIA (Eq. 5-47) I Vb 2 (h 8It ; 28.43 MPa th1 (2tmax + tmin) 3 Vweb V 0.957 119.7 kN ; ; Problem 5.10-3 Wide-flange shape, W 8 * 28 (see Table E-1(a), Appendix E); V 10 k. Solution 5.10-3 Wide-flange beam (b) MINIMUM SHEAR STRESS IN THE WEB (Eq. 5-48b) W 8 * 28 b 6.535 in. t 0.285 in. h 8.06 in. h1 taver 1 (bh3 12 tmax taver bh3 + th3) 1 1 96.36 in.4 V (bh2 8It bh2 + th2) 1 1 h2) 1 4202 psi ; 0.988 4861 psi 4921 psi ; ; (d) SHEAR FORCE IN THE WEB (EQ. 5-49) (a) MAXIMUM SHEAR STRESS IN THE WEB (Eq. 5-48a) tmax V th1 10 k MOMENT OF INERTIA (Eq. 5-47) I Vb 2 (h 8It (c) AVERAGE SHEAR STRESS IN THE WEB (Eq. 5-50) 7.13 in. V tmin ; Vweb th1 (2tmax + tmin) 3 Vweb V 0.943 ; 9.432 k ; ...
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