Q6/ Find the particular solution of the following differential equation which is represent the radial stress (p) at distance (r) from axis of a thick cylinder subjected to internal pressure dp 2p+r = A dr Use the boundary condition (p = Po) at the inner wall (r = r₁) and is negligible (p = 0) at the outer wall (r = r₂) ..... Take into consideration that (A) is a constant. Ans./ p = por₁2 r₁²-₂² -(1-1/2/²³)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Q6/ Find the particular solution of the following differential equation which is
represent the radial stress (p) at distance (r) from axis of a thick cylinder subjected to
internal pressure
dp
2p+r = A
dr
Use the boundary condition (p = Po) at the inner wall (r = r₁) and is negligible
(p = 0) at the outer wall (r = r₂) ..... Take into consideration that (A) is a constant.
Ans./ p =
por₁2
r₁²-₂²
-(1-1/2/²³)
Transcribed Image Text:Q6/ Find the particular solution of the following differential equation which is represent the radial stress (p) at distance (r) from axis of a thick cylinder subjected to internal pressure dp 2p+r = A dr Use the boundary condition (p = Po) at the inner wall (r = r₁) and is negligible (p = 0) at the outer wall (r = r₂) ..... Take into consideration that (A) is a constant. Ans./ p = por₁2 r₁²-₂² -(1-1/2/²³)
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