05-04ChapGere.0007

05-04ChapGere.0007 - 18.47 in. h 1 5 16.85 in. V 5 21 k M...

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Problem 5.10-4 Dimensions of cross section: b 5 220 mm, t 5 12 mm, h 5 600 mm, h 1 5 570 mm, and V 5 200 kN. Solution 5.10-4 Wide-flange beam 344 CHAPTER 5 Stresses in Beams (Basic Topics) b 5 220 mm t 5 12 mm h 5 600 mm h 1 5 570 mm V 5 200 kN M OMENT OF INERTIA (Eq. 5-47) (a) M AXIMUM SHEAR STRESS IN THE WEB (Eq. 5-48a) t max 5 V 8 It ( bh 2 2 bh 2 1 1 th 1 2 ) 5 32.28 MPa I 5 1 12 ( bh 3 2 bh 3 1 1 th 3 1 ) 5 750.0 3 10 6 mm 4 (b) M INIMUM SHEAR STRESS IN THE WEB (Eq. 5-48b) (c) A VERAGE SHEAR STRESS IN THE WEB (Eq. 5-50) (d) S HEAR FORCE IN THE WEB (Eq. 5-49) V web V 5 0.981 V web 5 th 1 3 (2 t max 1 t min ) 5 196.1 kN t max t aver 5 1.104 t aver 5 V th 1 5 29.24 MPa t min 5 Vb 8 It ( h 2 2 h 2 1 ) 5 21.45 MPa t h 1 b h Problem 5.10-5 Wide-flange shape, W 18 3 71 (see Table E-1, Appendix E); V 5 21 k. Solution 5.10-5 Wide-flange beam W 18 3 71 b 5 7.635 in. t 5 0.495 in. h 5
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Unformatted text preview: 18.47 in. h 1 5 16.85 in. V 5 21 k M OMENT OF INERTIA (Eq. 5-47) (a) M AXIMUM SHEAR STRESS IN THE WEB (Eq. 5-48a) t max 5 V 8 It ( bh 2 2 bh 2 1 1 th 1 2 ) 5 2634 psi I 5 1 12 ( bh 3 2 bh 3 1 1 th 3 1 ) 5 1162 in. 4 (b) M INIMUM SHEAR STRESS IN THE WEB (Eq. 5-48b) (c) A VERAGE SHEAR STRESS IN THE WEB (Eq. 5-50) (d) S HEAR FORCE IN THE WEB (Eq. 5-49) V web V 5 0.961 V web 5 th 1 3 (2 t max 1 t min ) 5 20.19 k t max t aver 5 1.046 t aver 5 V th 1 5 2518 psi t min 5 Vb 8 It ( h 2 2 h 2 1 ) 5 1993 psi t h 1 b h A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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