Torsion is basically the stress due to torque. Many structures experience torque (e.g. torque wrench, car shaft, etc) and therefore it is important to quantify the stress caused by torque to help us design safe structures.
Torsion applies shear rather than normal stress, as seen in the illustration below:
Torsion is basically the stress due to torque. Many structures experience torque (e.g. torque wrench, car shaft, etc) and therefore it is important to quantify the stress caused by torque to help us design safe structures.
Torsion applies shear rather than normal stress, as seen in the illustration below:
The torsional shear stress can be calculated using the following formula:
Notice that the higher the radius r, the higher the torsional shear stress. Therefore at r_{max}, we have τ_{max}. We usually denote r_{max} as c:
This variable basically measures the resistance to torsional loading. It is a function of the geometry (not mass); the larger the cross-section, the bigger the polar moment of inertia.
We mostly deal with solid or hollow circular cross-sections:
We use the right-hand rule as our positive sign convention. First we define an axis direction, then all torque directions are determined according to the axis and the right-hand rule:
Let’s look at an example now.
The torsional shear stress can be calculated using the following formula:
Notice that the higher the radius r, the higher the torsional shear stress. Therefore at r_{max}, we have τ_{max}. We usually denote r_{max} as c:
This variable basically measures the resistance to torsional loading. It is a function of the geometry (not mass); the larger the cross-section, the bigger the polar moment of inertia.
We mostly deal with solid or hollow circular cross-sections:
We use the right-hand rule as our positive sign convention. First we define an axis direction, then all torque directions are determined according to the axis and the right-hand rule:
Let’s look at an example now.