MECH215-Chapter11-SolutionstoSampleProblems

MECH215-Chapter11-SolutionstoSampleProblems - PROBLEM 11.2...

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PROBLEM 11.2 KNOWN: A steel rod (circular cross-section) having: 10 0.3 m 5 mm 20 10 Pa 50 kg m L D E m = = = FIND: The change in length of the rod, L δ . ASSUMPTIONS: Rod is elastically deformed, such that m E σ ε = SOLUTION: The force resulting from 50 kg in standard gravity is () ( ) 2 2 50 kg 9.8 m/s kg m 1.0 s N N c ma F g == ⎛⎞ ⎜⎟ ⎝⎠ 490 N N F = The resulting uniaxial stress is N a c F A = where 2 35 2 6 -5 2 51 0 1 . 9 61 0 m 4 490 N 25 10 Pa 1.96 10 m c a A π −− × × and 6 6 10 125 10 a a m E × × The change in length is then 66 0.3 125 10 37.5 10 m a LL δε =⋅ = × = × 0.3 m D=5 mm F N Cross Section, A c
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PROBLEM 11.10 KNOWN: A steel member ( p ν = 0.3) subject to simple axial tension. Strain gauges are mounted on top center, and bottom center. 2, All ' 120 GF R s = 10 V and 10 V, 120 and =2 oi EE R G F δ μ == = Ω FIND: Bridge constant, for gauge locations 1 and 4. Is the system temperature compensated? Determine the axial and transverse strains. SOLUTION: The configuration is Since for any 4 gauges () 0 1243 4 i E GF E ε εεε =− +
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MECH215-Chapter11-SolutionstoSampleProblems - PROBLEM 11.2...

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