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.

SLNR = L / RG

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

## 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:

SLNR = L / RG

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