189_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

189_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: Sec_2.6.qxd 9/25/08 11:40 AM Page 183 SECTION 2.6 Stresses on Inclined Sections Problem 2.6-9 The bottom chord AB in a small truss ABC (see figure) is fabricated from a W8 28 wide-flange steel section. The cross-sectional area A 8.25 in.2 (Appendix E, Table E-1 (a)) and each of the three applied loads P 45 k. First, find member force NAB; then, determine the normal and shear stresses acting on all faces of stress elements located in the web of member AB and oriented at (a) an angle 0°, (b) an angle 30°, and (c) an angle 45°. In each case, show the stresses on a sketch of a properly oriented element. 183 P P = 45 kips C 9 ft B 12 ft A P Ax Ay By NAB NAB u Solution 2.6-9 Statics P 45 kips By BCV FH NAB MA 0 By degrees in web of AB 9 P 12 33.75 k By 0 at B 0 (a) BCH NAB 12 BCV 9 BCH 90 kips (compression) BCH 45 k (b) on P Normal and shear stresses on elements at 0, 30 & 45 8.25 in2 ; 30° x face ( )2 xsin on 10.91 ksi x xcos ; A ; 10.9 ksi x NAB A sx ( ) cos ( ) u y face xcos( xsin( 8.18 ksi u+ )2 ) cos( ) 4.72 ksi p 2 2.73 ksi 4.72 ksi ; ; ...
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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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