Enter the width and height of a rectangular cross-section into the calculator to determine the St Venant Torsional Constant. This constant is a measure of a cross-section’s resistance to torsion (twisting).
St Venant Torsional Constant Formula
The following formula is used to calculate the St Venant Torsional Constant (J) for a rectangular cross-section:
J = (1/3) * b * h^3
Variables:
- J is the St Venant Torsional Constant
- b is the width of the cross-section
- h is the height of the cross-section
To calculate the St Venant Torsional Constant, multiply one-third of the width by the cube of the height of the cross-section.
What is the St Venant Torsional Constant?
The St Venant Torsional Constant is a property of a cross-section that measures its resistance to torsion. It is used in the design and analysis of beams and other structural elements subjected to twisting moments. The constant depends on the shape and size of the cross-section and is particularly important for non-circular sections where the warping of the section is not uniform.
How to Calculate the St Venant Torsional Constant?
The following steps outline how to calculate the St Venant Torsional Constant for a rectangular cross-section.
- First, measure the width (b) of the cross-section.
- Next, measure the height (h) of the cross-section.
- Use the formula J = (1/3) * b * h^3 to calculate the torsional constant.
- Enter the width and height into the calculator to get the torsional constant.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Width (b) = 50 mm
Height (h) = 100 mm
