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185_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 185_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 2.6 Stresses on Inclined Sections 179 Problem 2.6-4 A brass wire of diameter d ± 2.42 mm is stretched tightly between rigid supports so that the tensile force is T ± 98 N (see figure). The coefficient of thermal expansion for the wire is 19.5 ²³ 10 -6 /°C and the modulus of elasticity is E = 110 GPa (a) What is the maximum permissible temperature drop ´ T if the allowable shear stress in the wire is 60 MPa? (b) At what temperature changes does the wire go slack? Problem 2.6-3 A standard brick (dimensions 8 in. ² 4 in. ² 2.5 in.) is compressed lengthwise by a force P , as shown in the figure. If the ultimate shear stress for brick is
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Unformatted text preview: 1200 psi and the ultimate compressive stress is 3600 psi, what force P max is required to break the brick? P 2.5 in. 8 in. 4 in. P 2.5 in. 8 in. A ± 2.5 in. ² 4.0 in. ± 10.0 in. 2 Maximum normal stress: s x ± P A Maximum shear stress: µ ult ± 3600 psi ¶ ult ± 1200 psi Because ult is less than one-half of ult , the shear stress governs. ± 24,000 lb ; P max ± 2(10.0 in. 2 )(1200 psi) t max ± P 2 A or P max ± 2 A t ult t max ± s x 2 ± P 2 A Solution 2.6-3 Standard brick in compression T d T Sec_2.6.qxd 9/25/08 11:40 AM Page 179...
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