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05-03ChapGere.0010

# 05-03ChapGere.0010 - 330 A-PDF Stresses in Beams(Basic...

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Solution 5.8-4 Shear stresses in a cantilever beam 330 CHAPTER 5 Stresses in Beams (Basic Topics) Eq. (5-39): h 200 mm ( y 1 mm) t 50 10 6 (10,000 y 1 2 ) ( y 1 mm; t MPa) t 8,000 2(80 10 6 ) B (200) 2 4 y 1 2 R ( t N mm 2 MPa) V P 8.0 kN 8,000 N I bh 3 12 80 10 6 mm 4 t V 2 I ¢ h 2 4 y 1 2 G RAPH OF SHEAR STRESS Distance from the y 1 top surface (mm) (mm) (MPa) (kPa) 0 100 0 0 25 75 0.219 219 50 50 0.375 375 75 25 0.469 469 100 (N.A.) 0 0.500 500 h = 200 mm b = 120 mm L = 2 m P = 8.0 kN 0 0 219 219 375 375 469 469 T max = 500 kPa N.A. Problem 5.8-5 A steel beam of length L 16 in. and cross-sectional dimensions b 0.6 in. and h 2 in. (see figure) supports a uniform load of intensity q 240 lb/in., which includes the weight of the beam. Calculate the shear stresses in the beam (at the cross section of maximum shear force) at points located 1/4 in., 1/2 in., 3/4 in., and 1 in. from the top surface of the beam. From these calculations, plot a graph
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