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 ²³ P A w + Pe w I w c w s t ² 857 psi ; P ² 25 k e w ² h w 2 ³ t f 2 e w ² 5.99 in. c w ² h w 2 c w ² 6.25 in. I w ² 285 in. 4 I c ² 2.27 in. 4 (2-2 axis) t f ² 0.52 in. x p ² 0.634 in. h w ² 12.5 in. t wc ² 0.24 in. A w ² 10.3 in. 3 A c ² 4.48 in. 2 W 12 * 35 C 10 * 15.3 (b) N EUTRAL AXIS ( W SHAPE ALONE ) ( C ) C OMBINED C OLUMN , A ² A w + A c A ² 14.78 in. 2 h ² 12.74 in. h ² 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 ³ Pe w I w c w s c 5711 psi F OR TENSION F OR COMPRESSION : S TRESSES s t ² P A + Mc t I ² P 0.3927 b 2 + (0.2122 Pb )(0.2122 b ) 0.006860 b 4 c c ² r ³ c t ² b 2 ³ 2 b 3 p ² 0.2878 b c t ² 4 r 3 p ² 2 b 3 p ² 0.2122 b ² 2.546 P b 2 ³ 8.903 P b 2 6.36 P b 2 ; ² P 0.3927 b 2 ³ (0.2122 Pb )(0.2878 b ) 0.006860 b 4 s c ² P A ³ Mc c I ² 2.546 P b 2 + 6.564 P b 2 ² 9.11 P b 2 ; Problem 5.12-15 A short column constructed
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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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