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198_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 198_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: Sec_2.6.qxd 9/25/08 192 11:40 AM Page 192 CHAPTER 2 Axially Loaded Members Solution 2.6-16 ( 4754 + 65s x) 0 s2 x 4754 65 sx PA s x Q x u find & x cos (u) sin (u) so A xsin( sx a tu sx b 2 23 2 ab sx a 65 2 b sx acos for stress state shown above 2 xcos( ) tu Asx 73.1 MPa 1 su sx 65 sx a su A 1 3 18. 65 MPa su u 19.5° a MP a 7 31. su MP a 9 54. sx MP θ = 30° sx Asx ) cos( ) su a su sx su b now find 65 2 ab sx 65 23 2 b+a b sx sx 1 & xcos( xsin( 0 su 2 )2 30° 1 54.9 MPa ) cos( ) s xcos a u + Problem 2.6-17 The normal stress on plane pq of a prismatic bar in tension (see figure) is found to be 7500 psi. On plane rs, which makes 30° with plane pq, the stress is found to be 2500 psi. an angle Determine the maximum normal stress max and maximum shear stress max in the bar. for ; 31.7 MPa p2 b 2 2 18.3 MPa ; ; p rb P P s q ...
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