1.3 Consider a sphere of radius R subjected to diametral compres (Fig. 1.35). Let o, σ, and σ, be the normal stresses and to. To and T shear stresses at a point. At point P(o, y, z) on the surface and lying in yz plane, determine the rectangular normal stress components σ, o, an in terms of the spherical stress components. [Ans. σ = 0; σ =σ cos² ; σ = o, sin y

Elements Of Electromagnetics
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13 Consider a sphere of radius R subjected to diametral compression
(Fig. 1.35). Let o, Og and o, be the normal stresses and T,o, Tag and T, the
shear stresses at a point. At point P(o, y, z) on the surface and lying in the
yz plane, determine the rectangular normal stress components o, o, and o,
in terms of the spherical stress components.
[Ans. o, = og; 0, = o, cos o; 0, = o, sin o
Fig. 1.35 Problem 1,3
Transcribed Image Text:13 Consider a sphere of radius R subjected to diametral compression (Fig. 1.35). Let o, Og and o, be the normal stresses and T,o, Tag and T, the shear stresses at a point. At point P(o, y, z) on the surface and lying in the yz plane, determine the rectangular normal stress components o, o, and o, in terms of the spherical stress components. [Ans. o, = og; 0, = o, cos o; 0, = o, sin o Fig. 1.35 Problem 1,3
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