ENGINEERING – TRUCTURAL ENGINEERING β TEEL CALCULATOR
Hollow Section Torsion
A precise tool.
What is the Hollow Section Torsion & How does it work?
Torsion in hollow structural sections (HSS) is governed by the relationship between the applied torque, the geometry of the section, and the materialβs shear properties. Because the crossβsection is closed, shear flow circulates around the perimeter, and the torsional constant J captures the stiffness of that path.
For a rectangular HSS the torsional constant can be approximated by subtracting the inner void from the outer rectangle. This yields a value that, when combined with the applied torque, allows the engineer to compute the maximum shear stress Ο and the angle of twist ΞΈ along the memberβs length.
Accurate prediction of Ο ensures that the design stays within the materialβs shear capacity, while ΞΈ governs serviceability limits such as deflection and vibration. The formulas below are the basis for the calculator.
\tau = \frac{T \; c}{J}
\tau = shear stress (MPa)
Parameters
Result
β
Frequently Asked Questions
What is the formula for calculating the torsional constant J for a rectangular HSS?
The torsional constant J can be approximated by subtracting the inner void from the outer rectangle’s area moment of inertia.
How does shear flow circulate in hollow structural sections?
Shear flow circulates around the perimeter of the closed cross-section, and the torsional constant J captures the stiffness of this path.
What factors affect the torsion in hollow sections?
Torsion in hollow sections is affected by the applied torque, the geometry of the section, and the material’s shear properties.
How do you calculate the shear flow in a hollow structural section?
Shear flow can be calculated using the formula q = T * c / J, where T is the applied torque, c is the distance from the neutral axis to the outer fiber, and J is the torsional constant.
What is the significance of the torsional constant J in structural engineering?
The torsional constant J is significant as it represents the stiffness of the cross-section against twisting deformation under applied torque.
How do you determine the inner and outer dimensions for a rectangular HSS?
Measure the outer width and height of the section to get the outer dimensions, then measure the inner width and height to get the inner dimensions.
Can this calculator be used for non-rectangular hollow sections?
This specific calculator is designed for rectangular HSS. For other shapes, different formulas or more complex calculations may be required.
Results are for informational purposes only and do not constitute professional advice.