Show that the ratio of the maximum tangential stress to the average tangential stress ( ) for a thick walled cylinder subjected only to internal pressure is (1 2 ) (1 ), where Ro Ri Plot in a diagram the value of as function of ...

Show that the ratio of the maximum tangential stress to the average tangential stress ( )

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Question:

Show that the ratio of the maximum tangential stress to the average tangential stress ( η ) for a thick-walled cylinder subjected only to internal pressure is (1+λ2 ) / (1+λ), where λ = Ro/Ri . Plot in a diagram the value of η as function of λ.