Slenderness ratio calculator

Slenderness ratio calculator calculator can be used to determine the slenderness ratio of structural members, which is an important parameter in engineering design to ensure stability and safety of columns and other compressive members.

Input Parameters

Calculation Results

Slenderness Ratio (λ)

--

Calculation Formula:

λ = Le / r

Where:
λ = Slenderness Ratio
Le = Effective Length
r = Radius of Gyration

Slenderness ratio calculator Calculator Usage Guide

Learn how to use the Slenderness ratio calculator calculator and its working principles

What is Slenderness Ratio?

The slenderness ratio (λ) is a dimensionless quantity used in structural engineering to describe the slenderness or flexibility of a column. It is defined as the ratio of the effective length of a column to its radius of gyration.

How to Use This Calculator

  1. Enter the Effective Length (Le) of the column in meters. This is the length of the column considered for stability analysis.
  2. Enter the Radius of Gyration (r) of the column in meters. The radius of gyration is a measure of how the cross-sectional area is distributed around an axis.
  3. Click the Calculate button to compute the slenderness ratio.
  4. The result will be displayed in the results section.

Interpreting the Results

The slenderness ratio helps engineers determine the stability of columns under compressive loads. A higher slenderness ratio indicates a more slender column that is more prone to buckling. The critical slenderness ratio for a column depends on the material properties and the boundary conditions.

Applications

This calculator is useful for structural engineers, architects, and construction professionals who need to analyze the stability of columns in buildings, bridges, and other structures.