Question

The specimen isn't very thick or thin, so we cannot assume a state of plane strain or plane stress. Thus we expect a fully 3D strain state at any given location in the specimen. For example: 7 a -30 25 -30 6 -42 um/m ( 25 -42c ) e= 1 Assume an isotropic material with Young's modulus of 27 GPa and Poisson ratio of 0.14. Given that a = -2, b = 3, and c = 3, what is the hydrostatic stress (a.k.a. pressure) oh = {(0xx + Oyy +Ozz)? Give your answer in kPa.

Answer 1

solutione Data given: - E = 27 GPa lel=0014 tax = a = - 2x10 6 mm, tyyüb=30106 cm , Kzz = C= 3x10 m/h brx = bn - ll (ogy +622) tyy - Buty - H - 1 Box + F22) dzz - 622. - (set 003)

Adding above equations. ty va *- 6,1 6,1 6,2 пак, 25, 26, ) fut kastta = 11-28 ) 16 + 6,5 + 6. ) Grottfyyt bz2 = ( 2 ) [taxet kyytk22) 27xio r (-2 +3 +3 116 6. 19 td. - 0-1r MPa = jro КРА Hydrostatic stress 64 = Exutbyttzz = 50 kPa 1- 2x-14
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