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# came2pt39 - Question 2.39 1 r = 150 mm is subjected to...

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Question 2.39: A solid bronze sphere ( E = 110 GPa, ν = 3 1 , r = 150 mm) is subjected to hydrostatic pressure p so that its volume is reduced by 0.5 %. Determine(a) the pressure p, and(b) the strain energy U in the sphere.( Note: Volume of a sphere r V 3 3 4 × × = p ) Solution : The “dilatation” e, or the change in volume per unit volume, 10 5 . 0 2 - × - = = V V e …………. .(The negative sign indicates the reduction of the volume) The Bulk modulus of elasticity, ) 2 1 ( 3 n - = E k 10 110 ) 3 2 - 1 ( 3 10 110 3 3 × = × = k MPa (a) TO FIND p: By definition, the dilatation of the sphere is, k p e - = MPa p 550 ) 10 5 . 0 ( 10 110 - 2 3 = × - × × = - (b)TO FIND U

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came2pt39 - Question 2.39 1 r = 150 mm is subjected to...

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