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494_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 494_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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488 CHAPTER 5 Stresses in Beams (Basic Topics) Solution 5.12-15 Column of wide-flange shape P ROPERTIES OF EACH SHAPE : (a) T HE MAXIMUM TENSILE AND COMPRESSIVE STRESSES L OCATION OF CENTROID FOR W 12 35 ALONE s t P A w + Pe w I w c w s t 857 psi ; P 25 k e w h w 2 t f 2 e w 5.99 in. c w h w 2 c w 6.25 in. I w 285 in. 4 I c 2.27 in. 4 (2-2 axis) t f 0.52 in. x p 0.634 in. h w 12.5 in. t wc 0.24 in. A w 10.3 in. 3 A c 4.48 in. 2 W 12 * 35 C 10 * 15.3 (b) N EUTRAL AXIS ( W SHAPE ALONE ) ( C ) C OMBINED C OLUMN , A A w + A c A 14.78 in. 2 h 12.74 in. h h w + t wc W 12 * 35 with C 10 * 15.3 ; y 0 I w A w e w y 0 4.62 in. ; s c P A w Pe w I w c w s c 5711 psi F OR TENSION F OR COMPRESSION : S TRESSES s t P A + Mc t I P 0.3927 b 2 + (0.2122 Pb )(0.2122 b ) 0.006860 b 4 c c r c t b 2 2 b 3 p 0.2878 b c t 4 r 3 p 2 b 3 p 0.2122 b 2.546 P b 2 8.903 P b 2 6.36 P b 2 ; P 0.3927 b 2 (0.2122 Pb )(0.2878 b ) 0.006860 b 4 s c P A Mc c I 2.546 P b 2 + 6.564 P b 2 9.11 P b 2 ; Problem 5.12-15 A short column constructed
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