Atorque of magnitude t = 11 kn·m is applied to the end of a tank containing compressed air under a pressure of 8 mpa. knowing that the tank has a 180-mm inner diameter and a 12-mm wall thickness, determine the maximum normal stress and the maximum shearing stress in the tank. (round the final answers to one decimal place.)

Max Normal Stress,

Max Shear Stress,

Solution:

As per the question:

Torque, T = 11 kN.m = 11000 Nm

The inner diameter of the tank,

Thickness of the tank, t = 12 mm = 0.012 m

Pressure, P = 8 MPa =

Now,

Inner radius of the tank,

Outer radius of the tank,

Now,

To calculate the polar moment of inertia, J:

Now,

To calculate the shear stress at the surface end:

Now,

To calculate the stress at the outer end:

Now,

To calculate the value of the shear stress,

The resultant stress,

The overall resultant of all the stresses (all in MPa):

Now,

Max stress,

Minimum stress,

Now,

Maximum shear stress,

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