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The Cap Plate At BB Initial Pipe Diameters and Thicknesses Are

question 7

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 A pipe (E=110GPa )  carries a load P1=120kN at A and a uniformly distributed load P2=100kN on \text { A pipe } \left( E = 110 \mathrm { GPa } \text { ) carries a load } P _ { 1 } = 120 \mathrm { kN } \text { at } A \text { and a uniformly distributed load } P _ { 2 } = 100 \mathrm { kN } \right. \text { on } the cap plate at BB . Initial pipe diameters and thicknesses are dAB=38 mm,tAB=12 mm,dBC=70 mmd _ { A B } = 38 \mathrm {~mm} , t _ { A B } = 12 \mathrm {~mm} , d _ { B C } = 70 \mathrm {~mm} , and tBC=10 mmt _ { B C } = 10 \mathrm {~mm} . Under loads P1P _ { 1 } and P2P _ { 2 } , wall thickness tBCt _ { B C } increases by 0.0036 mm0.0036 \mathrm {~mm} . Poisson's ratio vv for the pipe material is approximately:
\text { A pipe } \left( E = 110 \mathrm { GPa } \text { )  carries a load } P _ { 1 } = 120 \mathrm { kN } \text { at } A \text { and a uniformly distributed load } P _ { 2 } = 100 \mathrm { kN } \right. \text { on }  the cap plate at  B . Initial pipe diameters and thicknesses are  d _ { A B } = 38 \mathrm {~mm} , t _ { A B } = 12 \mathrm {~mm} , d _ { B C } = 70 \mathrm {~mm} , and  t _ { B C } = 10 \mathrm {~mm} . Under loads  P _ { 1 }  and  P _ { 2 } , wall thickness  t _ { B C }  increases by  0.0036 \mathrm {~mm} . Poisson's ratio  v  for the pipe material is approximately:    A)   0.27  B)   0.30  C)   0.31  D)   0.34


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