Question

The shear flow in a thin walled single-closed section subjected to torque is defined by

• A. \(\frac{T}{t}\)
• B. \(A\)
• C. \(\frac{T\theta}{A_0}\)
• D. \(\frac{T}{2A}\)

Hint:

Shear flow is a function of torque and geometry in closed sections.

Answer 1

The Correct Option is D

In aerospace engineering, when analyzing the shear flow in a thin-walled closed section subjected to a torque (\(T\)), we apply specific fundamental concepts associated with Timoshenko's theory of thin-walled structures. Here, we need to determine the correct expression for the shear flow.

The shear flow (\(q\)) in a thin-walled closed section can be represented by the formula:

\[q = \frac{T}{2A}\]

where:

• \(T\) is the applied torque.
• \(A\) is the enclosed area of the closed section.

This formula describes that shear flow is directly proportional to the applied torque and inversely proportional to twice the enclosed area of the cross-section. The relationship can be derived from the equilibrium of forces and compatibility conditions in the context of torsion for closed cross-sectional areas.

This matches the correct answer: \(\frac{T}{2A}\).