05-06ChapGere.0005 - W 10 3 30 wide-flange shape is...

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Solution 5.12-14 Bar with reduced cross section SECTION 5.12 Eccentric Axial Loads 367 (a) S QUARE BAR Cross section mn is a rectangle. S TRESSES (b) C IRCULAR BAR Cross section mn is a semicircle From Appendix D, Case 10: M P ¢ 2 b 3 0.2122 Pb I 0.1098 ¢ b 2 4 0.006860 b 4 A 1 2 ¢ b 2 4 b 2 8 0.3927 b 2 s c P A Mc I 2 P b 2 6 P b 2 4 P b 2 s t P A Mc I 2 P b 2 6 P b 2 8 P b 2 c b 4 M P ¢ b 4 I 1 12 ( b ) ¢ b 2 3 b 4 96 A ( b ) ¢ b 2 b 2 2 F OR TENSION : F OR COMPRESSION : S TRESSES 2.546 P b 2 8.903 P b 2 6.36 P b 2 s c P A Mc c I P 0.3927 b 2 (0.2122 Pb )(0.2878 b ) 0.006860 b 4 2.546 P b 2 6.564 P b 2 9.11 P b 2 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 0.2878 b c t 4 r 3 2 b 3 0.2122 b Problem 5.12-15 A short column constructed of a
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Unformatted text preview: W 10 3 30 wide-flange shape is subjected to a resultant compressive load P 5 12 k having its line of action at the midpoint of one flange (see figure). (a) Determine the maximum tensile and compressive stresses s t and s c , respectively, in the column. (b) Locate the neutral axis under this loading condition. P = 12 k z y C W 10 3 30 A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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