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

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## 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)

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:

- First, determine the length (in).
- The length (in) is given as: 500.

- Next, determine the radius of gyration (in).
- The radius of gyration (in) is provided as: 30.

- 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

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

SLNR = L / RG** = ?**