How to Calculate the Torsional Warping Constant

Written by thomas bourdin
  • Share
  • Tweet
  • Share
  • Pin
  • Email
How to Calculate the Torsional Warping Constant
Use a specific formula to calculate the torsional warping constant. (pile of l-beams image by Mikhail Tischenko from

Beams find many uses in construction and machinery. Beams must be strong and flexible enough to support huge amounts of weight in sometimes adverse conditions. One way to measure this flexibility is the torsional warping constant, which is the amount the geometry of a beam is deviated from it's standard geometry when acted on by a torsional force (that is, the twisting of an object). You can calculate this constant for a standard geometry in a few short steps.

Skill level:

Things you need

  • Paper
  • Pen or pencil
  • Calculator

Show MoreHide


  1. 1

    Multiply the torque applied to the beam by the beam length. For example, if a torque of 500 Newton meters (Nm) is applied to a beam 1 meter (m) in length, the product will be 500 Newton meters squared (Nm^2). Call this product result A.

  2. 2

    Multiply the angle of the beam's twist (in radians) by the shear modulus of the material. As an example, assume a steel beam, with a shear modulus of 79.3 gigapascals (GPA) is twisted by 0.2 radians. The product of these two numbers is 15.86 GPA. Call this result B.

  3. 3

    Divide result A by result B. In our example, dividing 500 Nm^2 by 15.86 GPA (15 times 10 to the 9 Pa, or 15 x 10^9 Pa) gives 3.15 times 10 to the negative 8 (3.15 x 10^(-8) ). This dimensionless number is the torsional warping constant.

Tips and warnings

  • This method applies to a beam of uniform cross-section across it's length. For other geometries, this equation may not apply.

Don't Miss

  • All types
  • Articles
  • Slideshows
  • Videos
  • Most relevant
  • Most popular
  • Most recent

No articles available

No slideshows available

No videos available

By using the site, you consent to the use of cookies. For more information, please see our Cookie policy.