A cylindrical vessel is pressurized to 1.7 MPa. The structure on which the vessel rests becomes damaged, resulting in uneven support that causes a twisting moment T0 of 8 106 N-m on the vessel. The vessel has an outer diameter of 2.5 m and a wall thickness of 50 mm. The steel wall has a uniaxial yield strength of 600 MPa. Determine the factor of safety with respect to yielding (a) assuming a maximum shear stress yield criterion and (b) assuming a von Mises yield criterion.

Answer:

a) 15.075  , b ) 12.9

Explanation:

pressure on cylindrical vessel = 1.7 MPa

Twisting moment due to pressure = To of  8( 10^6 ) N-m

outer diameter of vessel = 2.5 m

wall thickness of vessel = 50 mm

Steel wall uniaxial yield strength = 600 MPa

Calculate the factor of safety

a) assuming a max shear stress yield criterion

safety factor = 15.075

b) assuming a von Mises yield criterion

safety factor = 12.9

attached below is the detailed solution of the problem

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