Slenderness Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Slenderness Ratio = Effective Length/Least Radius of Gyration
λ = Leff/r
This formula uses 3 Variables
Variables Used
Slenderness Ratio - The Slenderness ratio is the ratio of the length of a column and the least radius of gyration of its cross section.
Effective Length - (Measured in Meter) - The Effective Length is the length which resists against buckling.
Least Radius of Gyration - (Measured in Meter) - The Least Radius of Gyration is the smallest value of the radius of gyration is used for structural calculations.
STEP 1: Convert Input(s) to Base Unit
Effective Length: 50.25 Meter --> 50.25 Meter No Conversion Required
Least Radius of Gyration: 0.15 Meter --> 0.15 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
λ = Leff/r --> 50.25/0.15
Evaluating ... ...
λ = 335
STEP 3: Convert Result to Output's Unit
335 --> No Conversion Required
FINAL ANSWER
335 <-- Slenderness Ratio
(Calculation completed in 00.004 seconds)

Credits

Created by Pragati Jaju
College Of Engineering (COEP), Pune
Pragati Jaju has created this Calculator and 50+ more calculators!
Verified by Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has verified this Calculator and 1200+ more calculators!

14 Basics of Strength of Materials Calculators

Brinell Hardness Number
Go Brinell Hardness Number = Load/((0.5*pi*Diameter of Ball Indentor)*(Diameter of Ball Indentor-(Diameter of Ball Indentor^2-Diameter of Indentation^2)^0.5))
Total Angle of Twist
Go Total Angle of Twist = (Torque Exerted on Wheel*Shaft Length)/(Shear Modulus*Polar Moment of Inertia)
Equivalent Bending Moment
Go Equivalent Bending Moment = Bending Moment+sqrt(Bending Moment^(2)+Torque Exerted on Wheel^(2))
Hooke's Law
Go Young's Modulus = (Load*Elongation)/(Area of Base*Initial Length)
Equivalent Torsional Moment
Go Equivalent Torsion Moment = sqrt(Bending Moment^(2)+Torque Exerted on Wheel^(2))
Rankine's Formula for Columns
Go Rankine’s Critical Load = 1/(1/Euler’s Buckling Load+1/Ultimate Crushing Load for Columns)
Slenderness Ratio
Go Slenderness Ratio = Effective Length/Least Radius of Gyration
Poisson's Ratio
Go Poisson's Ratio = -(Lateral Strain/Longitudinal Strain)
Pressure in Bubble
Go Pressure = (8*Surface Tension)/Diameter of Bubble
Bulk Modulus given Volume Stress and Strain
Go Bulk Modulus = Volume Stress/Volumetric Strain
Shear Modulus
Go Shear Modulus = Shear Stress/Shear Strain
Bulk Modulus given Bulk Stress and Strain
Go Bulk Modulus = Bulk Stress/Bulk Strain
Young's Modulus
Go Young's Modulus = Stress/Strain
Elastic Modulus
Go Young's Modulus = Stress/Strain

Slenderness Ratio Formula

Slenderness Ratio = Effective Length/Least Radius of Gyration
λ = Leff/r

What is Slenderness Ratio?

Slenderness ratio is the ratio of the length of a column and the least radius of gyration of its cross section. Often denoted by lambda.It is used extensively for finding out the design load as well as in classifying various columns in short/intermediate/long.

How to Calculate Slenderness Ratio?

Slenderness Ratio calculator uses Slenderness Ratio = Effective Length/Least Radius of Gyration to calculate the Slenderness Ratio, The Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section.The larger the slenderness ratio, the less strength there is in a column. Slenderness Ratio is denoted by λ symbol.

How to calculate Slenderness Ratio using this online calculator? To use this online calculator for Slenderness Ratio, enter Effective Length (Leff) & Least Radius of Gyration (r) and hit the calculate button. Here is how the Slenderness Ratio calculation can be explained with given input values -> 335 = 50.25/0.15.

FAQ

What is Slenderness Ratio?
The Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section.The larger the slenderness ratio, the less strength there is in a column and is represented as λ = Leff/r or Slenderness Ratio = Effective Length/Least Radius of Gyration. The Effective Length is the length which resists against buckling & The Least Radius of Gyration is the smallest value of the radius of gyration is used for structural calculations.
How to calculate Slenderness Ratio?
The Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section.The larger the slenderness ratio, the less strength there is in a column is calculated using Slenderness Ratio = Effective Length/Least Radius of Gyration. To calculate Slenderness Ratio, you need Effective Length (Leff) & Least Radius of Gyration (r). With our tool, you need to enter the respective value for Effective Length & Least Radius of Gyration and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!