05-04ChapGere.0006

05-04ChapGere.0006 - h 5 8.06 in. h 1 5 7.13 in. V 5 10 k M...

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Problem 5.10-2 Dimensions of cross section: b 5 180 mm, t 5 12 mm, h 5 420 mm, h 1 5 380 mm, and V 5 125 kN. Solution 5.10-2 Wide-flange beam SECTION 5.10 Shear Stresses in the Webs of Beams with Flanges 343 b 5 180 mm t 5 12 mm h 5 420 mm h 1 5 380 mm V 5 125 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 1 2 1 th 1 2 ) 5 28.43 MPa I 5 1 12 ( bh 3 2 bh 1 3 1 th 1 3 ) 5 343.1 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 0.957 V web 5 th 1 3 (2 t max 1 t min ) 5 119.7 kN t max t aver 5 1.037 t aver 5 V th 1 5 27.41 MPa t min 5 Vb 8 It ( h 2 2 h 1 2 ) 5 21.86 MPa t h 1 b h Problem 5.10-3 Wide-flange shape, W 8 3 28 (see Table E-1, Appendix E); V 5 10 k. Solution 5.10-3 Wide-flange beam W 8 3 28 b 5 6.535 in. t 5 0.285 in.
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Unformatted text preview: h 5 8.06 in. h 1 5 7.13 in. V 5 10 k 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 (Eq. 5-48b) t min 5 Vb 8 It ( h 2 2 h 2 1 ) 5 4202 psi t max 5 V 8 It ( bh 2 2 bh 2 1 1 th 1 2 ) 5 4861 psi I 5 1 12 ( bh 3 2 bh 3 1 1 th 3 1 ) 5 96.36 in. 4 (c) A VERAGE SHEAR STRESS IN THE WEB (Eq. 5-50) (d) Shear force in the web (Eq. 5-49) V web V 5 0.943 V web 5 th 1 3 (2 t max 1 t min ) 5 9.432 k t max t aver 5 0.988 t aver 5 V th 1 5 4921 psi t h 1 b h A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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