465_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 465_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Problem 5.10-4 Dimensions of cross section: . h 600 mm, h 1 570 mm, and V 200 kN b 220 mm, t 12 mm, SECTION 5.10 Shear Stresses in Beams with Flanges 459 Solution 5.10-4 Wide-flange beam M OMENT OF INERTIA (Eq. 5-47) (a) M AXIMUM SHEAR STRESS IN THE WEB (Eq. 5-48a) (b) M INIMUM SHEAR STRESS IN THE WEB (E Q . 5-48b) ; t min Vb 8 It ( h 2 h 1 2 ) 21.45 MPa ; t max V 8 It ( bh 2 bh 1 2 + th 1 2 ) 32.28 MPa I 1 12 ( bh 3 bh 1 3 + th 1 3 ) 750.0 * 10 6 mm 4 V 200 kN h 1 570 mm h 600 mm t 12 mm b 220 mm (c) A VERAGE SHEAR STRESS IN THE WEB (E Q . 5-50) (d) S HEAR FORCE IN THE WEB (Eq. 5-49) ; V web V 0.981 ; V web th 1 3 (2 t max + t min ) 196.1 kN t max t aver 1.104 ; t aver V th 1 29.24 MPa Problem 5.10-5 Wide-flange shape, W (see Table E-1(a), Appendix E); . V 21 k 18 * 71 Solution 5.10-5 Wide-flange beam M OMENT OF INERTIA

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