496_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

496_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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490 CHAPTER 5 Stresses in Beams (Basic Topics) Solution 5.12-17 Angle section in tension (a) O NE ANGLE : M AXIMUM TENSILE STRESS OCCURS AT CORNER ; s t ± P A L + Mc 1 I 3 s t ± 15.48 ksi M ± Pe M ± 16.44 k-in. I 3 ± A L r min 2 I 3 ± 2.258 in. 4 c 1 ± c 1 2 c 1 ± 1.699 in. P ± 12.5 k e ± a c ² t 2 b 1 2 e ± 1.315 in c ± 1.18 in. t ± 0.5 in. A L ± 3.75 in. 2 r min ± 0.776 in. L 4 * 4 * 1/2 (b) T WO ANGLES : M AXIMUM TENSILE STRESS OCCURS AT THE LOWER EDGE ; s t ± P A + Mc I s t ± 2.91 ksi M ± Pe M ± 11.625 k-in. I ± 2 I L I ± 11.04 in. 4 P ± 12.5 k e ± a c ² t 2 b e ± 0.93 in. I L ± 5.52 in. 4 (2-2 axis) c ± 1.18 in t ± 0.5 in A ± 2 A L L 4 * 4 * 1/2 C ENTROID OF COMPOSITE SECTION + b p t p 3 12 + b p t p a d + t p 2 ² c b 2 I ± I w + A w a c ² d 2 b 2 c ± 119.541 mm c ± A w d 2 + b p t p a d + t p 2 b A A ± A w + b p t p A ± 6.448 * 10 3 mm 2 h ± 210 mm h ± d ³ t p N EUTRAL AXIS y 0 ±² I Ae y 0 100.8 mm (from centrioid) ; s c P A w ² Pe I w ( h ² c ) s c 20.3 MPa ; s t P A + Pe I c s t ± 1.587 MPa e ± d ² t f 2 ² c e ± 74.459 mm I ± 4.839 * 10 7 mm 4 Problem 5.12-17 A tension member constructed of an
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This note was uploaded on 12/22/2011 for the course MEEG 310 taught by Professor Staff during the Fall '11 term at University of Delaware.

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