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Unformatted text preview: Q.3.32 A thin walled circular cylinder vessel of diameter d and wall thickness t is subjected to internal pressure p .Given a small circular hole in the vessel wall, show that the maximum tangential and axial stresses at the hole are t d p t d p a 4 . and 4 . . 5 = = σ σ θ , respectively. Solution The stresses in a thin walled pressure vessel of diameter d and thickness t subjected to a uniform pressure p is.: 4 . stress Axial and 2 . stress, Tangential , t d p t d p x y = = σ σ ……………………….(1) And, also, an infinite plate with a hole of radius a subjected to a uniform axial tension σ gives the tangential stress at the hole edge as: Now, we apply the Principle of superposition σ σ σ θ θ θ 2 1 + = ∴ ……………………………………………………….(2) Y σ θ 1 = Tangential stress due to σ x ) 2 cos . 2 1 .( 1 θ σ σ θ − = ∴ x ………. (3) σ x θ X σ θ 2 = Tangential stress due to σ y σ y ) 2 cos . 2 1 .( 1 2 θ σ σ θ − = ∴...
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 Fall '09
 Law
 Stress, Polar coordinate system, diameter

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