495_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

495_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 05Ch05.qxd 9/25/08 2:29 PM Page 489 489 SECTION 5.12 Beams with Axial Loads tf LOCATION OF CENTROID OF COMBINED SHAPE P hw Aw a b + Ac (h 2 c xp) Iw + Aw a c P Pe + c A I st 453 psi P A Pe (h I c) sc y0 I Ae y0 c)2 xp 394.334 in.4 I e c 2 st 8.025 in. hw 2 b 2 + Ic + Ac (h hw sc c A I e 25 k Problem 5.12-16 A short column of wide-flange shape is subjected to a compressive load that produces a resultant force P 55 kN acting at the midpoint of one flange (see figure). (a) Determine the maximum tensile and compressive stresses st and sc, respectively, in the column. (b) Locate the neutral axis under this loading condition. (c) Recompute maximum tensile and compressive stresses if a 120 mm 10 mm cover plate is added to one flange as shown. 4.215 in. ; 2951 psi ; 6.33 in. (from centroid) ; y P = 55 kN z Cover plate (120 mm 10 mm) (Part c only) y P C 8 mm z 200 mm C 12 mm 160 mm Solution 5.12-16 P 55 kN e (a) MAXIMUM TENSILE AND COMPRESSIVE STRESSES FOR W SHAPE ALONE PROPERTIES AND DIMENSIONS FOR W SHAPE b 160 mm tf 12 mm Aw Aw Iw Iw bd d tw (b 200 mm 2 tf)3 2 e 94 mm P Pe d + Aw Iw 2 st sc P Aw sc Pe d Iw 2 3.27 MPa 24.2 MPa (b) NEUTRAL AXIS (W SHAPE ALONE) 2 5.248 * 10 mm (b tw) (d bd3 12 2 tf) tf st 8 mm tw) (d 3 d 2 y0 Iw Aw e y0 76.2 mm ; 12 7 3.761 * 10 mm4 (c) COMBINED COLUMN-W SHAPE & COVER PLATE bp 120 mm tp 10 mm ; ; ...
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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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