Question

In: Mechanical Engineering

A thin-walled cylinder gets 200 kN axial compressive force and 3 kNm torque moment simultaneously. The...

A thin-walled cylinder gets 200 kN axial compressive force and 3 kNm torque moment simultaneously. The diameter of the cylinder is 300 mm and the cylinder wall thickness is 3 mm. Determine the main stress that occurs in the cylinder wall element and the maximum shear stress. Ignore the possibility of buckling in the cylinder

Solutions

Expert Solution

Given Data:

Axial compressive force,

Torque,

Diameter of the cylinder,

Therefore, radius of cylinder,

Cylinder wall thickness,

Solution:

Since there is no internal pressure.

Therefore,

Axial stress,

Hoop stress,

Due to the axial compressive force,

Axial normal stress,

  

In-plane shear stress,

State of stress:

The maximum in-plane shear stress:

Principal stresses:

Maximum out-of-plane shear stresses:

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