A thick-walled pipeline with internal and external diameters of 600 mm and 1000 mm, respectively, is subjected to an internal pressure P,. The cylinder is made of steel where E = 200 GPa, a,„ki= 250 MPa and v = 0.3. Given that the safety factor is 2, what is the maximum allowable pressure P, according to:- a) Tresca criterion, and b) von Mises criterion. Subsequently, sketch the HOOP stress distribution in the wall thickness of the pipe and indicate the values of the stresses on the inner and outer surfaces for EACH OF THE CRITERION mentioned above.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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A thick-walled pipeline with internal and external diameters of 600 mm and 1000 mm, respectively, is subjected to an internal pressure P,. The cylinder is made of steel where E = 200 GPa, a,„ki= 250 MPa and v = 0.3. Given that the safety factor is 2, what is the maximum allowable pressure P, according to:-

a) Tresca criterion, and

b) von Mises criterion.

Subsequently, sketch the HOOP stress distribution in the wall thickness of the pipe and indicate the values of the stresses on the inner and outer surfaces for EACH OF THE CRITERION mentioned above. 

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