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153_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 153_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Solution 2.4-15 Bar supported by two wires h 18 in. 2 h 36 in. c 20 in. d 50 in. L 66 in. E 30 10 6 psi A 0.0272 in. 2 P 340 lb F REE - BODY DIAGRAM D ISPLACEMENT DIAGRAM E QUATION OF EQUILIBRIUM M A 0 T C ( c ) T D ( d ) PL (Eq. 1) E QUATION OF COMPATIBILITY (Eq. 2) F ORCE - DISPLACEMENT RELATIONS (Eqs. 3, 4) S OLUTION OF EQUATIONS Substitute (3) and (4) into Eq. (2): (Eq. 5) T ENSILE FORCES IN THE WIRES Solve simultaneously Eqs. (1) and (5): (Eqs. 6, 7) T ENSILE STRESSES IN THE WIRES (Eq. 8) (Eq. 9) D ISPLACEMENT AT END OF BAR (Eq. 10) S UBSTITUTE NUMERICAL VALUES 2 c 2 d 2 2(20 in.) 2 (50 in.) 2 3300 in. 2 (a) (b) ; 0.0198 in. 2(18 in.)(340 lb)(66 in.) 2 (30 * 10 6 psi)(0.0272 in. 2 )(3300 in. 2 ) d B 2 hPL 2 EA (2 c 2 + d 2 )

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153_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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