Enter the modulus of elasticity, distance to the extreme fiber, and the moment of inertia into the calculator to determine the warping constant of a cross-section. This calculator helps in structural analysis to evaluate the warping constant which is a measure of resistance against torsional deformation.
Warping Constant Formula
The following formula is used to calculate the warping constant.
C<sub>w</sub> = E * c * I
Variables:
- Cw is the warping constant (mm6)
- E is the modulus of elasticity (GPa)
- c is the distance to the extreme fiber (mm)
- I is the moment of inertia (mm4)
To calculate the warping constant, multiply the modulus of elasticity by the distance to the extreme fiber and the moment of inertia.
What is a Warping Constant?
The warping constant is a property of a cross-section that measures its resistance to warping when subjected to torsion. It is an important factor in the design and analysis of structural members, especially in beams and columns that may experience torsional loads. The warping constant is used in conjunction with the modulus of elasticity and the moment of inertia to predict the behavior of a member under torsional stress.
How to Calculate Warping Constant?
The following steps outline how to calculate the Warping Constant.
- First, determine the modulus of elasticity (E) in GPa.
- Next, determine the distance to the extreme fiber (c) in mm.
- Next, determine the moment of inertia (I) in mm4.
- Next, gather the formula from above = Cw = E * c * I.
- Finally, calculate the Warping Constant (Cw) in mm6.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Modulus of Elasticity (E) = 200 GPa
Distance to Extreme Fiber (c) = 50 mm
Moment of Inertia (I) = 10000 mm4
