05-06ChapGere.0006

05-06ChapGere.0006 - )(94 mm) 5 2 60 kN 5248 mm 2 1 (60...

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Problem 5.12-16 A short column of wide-flange shape is subjected to a compressive load that produces a resultant force P 5 60 kN acting 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. Solution 5.12-16 Column of wide-flange shape 368 CHAPTER 5 Stresses in Beams P = 60 kN z y C P 12 mm 8 mm 160 mm 200 mm b 5 160 mm t w 5 8 mm h 5 200 mm t f 5 12 mm P 5 60 kN A 5 2 bt f 1 ( h 2 2 t f ) t w 5 5248 mm 2 5 37.611 3 10 6 mm 4 I 5 1 12 bh 3 2 1 12 ( b 2 t w )( h 2 2 t f ) 3 e 5 h 2 2 t f 2 5 94 mm (a) M AXIMUM STRESSES 52 11.43 MPa 1 15.00 MPa 5 3.57 MPa s c 52 11.43 MPa 2 15.00 MPa 52 26.4 MPa (b) N EUTRAL AXIS ( SEE FIGURE ) 52 76.2 mm y 0 52 I Ae 52 37.611 3 10 6 mm 4 (5248 mm 2
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Unformatted text preview: )(94 mm) 5 2 60 kN 5248 mm 2 1 (60 kN)(94 mm)(100 mm) 37.611 3 10 6 mm 4 s t 5 2 P A 1 Pe ( h / 2) I W 10 3 30 A 5 8.84 in. 2 I 5 170 in. 4 t f 5 0.510 in. e 5 h 2 2 t f 2 5 4.98 in. (a) M AXIMUM STRESSES 5 480 psi 5 2 3200 psi (b) N EUTRAL AXIS ( SEE FIGURE ) y 5 2 I Ae 5 2 3.86 in. s c 5 2 P A 2 Pe ( h / 2) I 5 2 1357 psi 2 1840 psi s t 5 2 P A 1 Pe ( h / 2) I 5 2 1357 psi 1 1840 psi z y O h = 10.47 in. P = 12 k e N.A. Solution 5.12-15 Column of wide-flange shape z y O P N.A. t f t w b e h A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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