A 30-mm square was scribed on the side of a large steel pressure vessel. after p

Question

A 30-mm square was scribed on the side of a large steel pressure vessel. after pressurization the biaxial stress condition at the square is shown. for E= 200Gpa and v= .30, determine the change in length of (a) side AB, (b) side BC, (c) diagonal AC.

A 30 - mm square was scribed on the side of a large steel pressure vessel. after pressurization the biaxial stress condition at the square is shown. for E= 200Gpa and v= .30, determine the change in length of (a) side AB, (b) side BC, (c) diagonal AC.

Explanation / Answer

Strain along AB = ( x - v y ) /E =(80-0.3*40) / 200 GPa = 3.4*10^-4

so change in AB = strain *AB = 0.0102 mm

similarly,

Strain along BC = ( y - v x ) /E =(40-0.3*80) / 200 GPa = 8*10^-5

so change in BC = strain *BC = 0.0024 mm

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