Similar to elastic deformation, we have deformation due to torsion as well: twisting. The degree of twisting needs to be quantified to ensure that shafts are designed within safe twisting limits.
The angle of twist due to a torque loading can be calculated using the following formula:
Similar to elastic deformation, we have deformation due to torsion as well: twisting. The degree of twisting needs to be quantified to ensure that shafts are designed within safe twisting limits.
The angle of twist due to a torque loading can be calculated using the following formula:
We also present to you the general formula for angle of twist, for completeness sake:
Often a shaft has a few torque loadings and we want to quantify the total angle of twist:
To do that, we first obtain our torque diagram, which considers the internal torque for each shaft segment:
Using these internal torque values, we calculate the angle of twist for each segment, and sum them up successively with respect to one end of the shaft:
And remember the sign convention; the angle of twist follows the right-hand rule as well. Let’s look at an example now.
We also present to you the general formula for angle of twist, for completeness sake:
Often a shaft has a few torque loadings and we want to quantify the total angle of twist:
To do that, we first obtain our torque diagram, which considers the internal torque for each shaft segment:
Using these internal torque values, we calculate the angle of twist for each segment, and sum them up successively with respect to one end of the shaft:
And remember the sign convention; the angle of twist follows the right-hand rule as well. Let’s look at an example now.