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Cylindrical and Spherical problem in Mechanical engineering has been discuss by using Seth's B.R. Theory.For the problems in Elastic plastic transition stresses in a transversely isotropic thickwalled cylinder subjected to internal pressure and steady state temperature, it has been observed that at room temperature, thickwalled cylinder made of isotropic material yields at a high pressure at the internal surface as compared to cylinder made of transversely isotropic material. With the introduction of thermal effects isotropic/transversely isotropic cylinder yields at a lower pressure whereas cylinder made of isotropic material requires less percentage increase in pressure to become fullyplastic from its initial yielding as compared to cylinder made of transversely isotropic material.And for the Problems Elastic Plastic Transition Stresses in a Spherical Shell under internal Pressure by using concept of Lebesgue measure, it has been seen that the result are same as given by Mellor, Hill and Seth's.
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