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Strength of Materials: Thin Wall Cross-Sections

There can be cases when the object that is being studied could have multiple subsections within it; as seen in the figure below.

Thin Wall Cross-sections Torsion Diagram

Due to these different subsections which have different wall thicknesses, the torque applied to the part will have a different effect on each section. This can be seen in the figure below.

Shear Distribuation Multiple Think Wall Profile

The following equations would be used to help calculate the stress in each section.

Torque Calculation Multiple Thik Wall Section Torsion (1)

Polar Moment of Inertia Calculation Multiple Thik Wall Section Torsion (2)

J = Polar Moment of Inertia


Angle of Twist Calculation Multiple Think Wall Section Torsion (3)

Φ = Angular of Twist

T = Torque

G = Shear Modulus


Angle of Twist Calculation Multiple Think Wall Section Torsion connecting Sections (4)

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