Enter the length (in) and the radius of gyration (in) into the Slenderness Ratio Calculator. The calculator will evaluate and display the Slenderness Ratio. 

Slenderness Ratio Formula

The following formula is used to calculate the Slenderness Ratio. 

  • Where SLNR is the Slenderness Ratio
  • L is the length (in) 
  • RG is the radius of gyration (in) 

To calculate the slenderness ratio, divide the length by the radius of gyration.

How to Calculate Slenderness Ratio?

The following example problems outline how to calculate Slenderness Ratio.

Example Problem #1:

  1. First, determine the length (in).
    • The length (in) is given as: 500.
  2. Next, determine the radius of gyration (in).
    • The radius of gyration (in) is provided as: 30.
  3. Finally, calculate the Slenderness Ratio using the equation above: 


The values given above are inserted into the equation below and the solution is calculated:

SLNR = 500 / 30 = 16.667

Example Problem #2: 

For this problem, the variables required are provided below:

length (in) = 600

radius of gyration (in) = 10

Test your knowledge using the equation and check your answer with the calculator above.

SLNR = L / RG = ?