450_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

450_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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444 CHAPTER 5 Stresses in Beams (Basic Topics) Solution 5.8-4 Shear stresses in a cantilever beam Eq. (5-39): t 50 * 10 6 (10,000 y 1 2 ) ( y 1 mm; t MPa) t 8,000 2(80 * 10 6 ) c (200) 2 4 y 1 2 d ( t N/mm 2 MPa) h 200 mm ( y 1 mm) I bh 3 12 80 * 10 6 mm 4 V P 8.0 kN 8,000 N t V 2 I a h 2 4 y 1 2 b Distance from the y 1 top surface (mm) (mm) 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 G RAPH OF SHEAR STRESS t (kPa) (MPa) t t Solution 5.8-3 Maximum load M max q 5.833 1b ft q g A weight of beam per unit distance g 35 lb ft 3 A b # h h 6 in. t allow 200 psi L 8 ft b 4 in. ; M max 25.4 k-ft M max 2 AL 3 t allow qL 2 2 M 2 AL 3 t max qL 2 2 t max 3 V 2 A 3 2 A a M L + qL 2 b V M L + qL 2 Problem 5.8-4 A cantilever beam of length supports a
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