Actual Length of Column given Effective Length if One End is Fixed Other is Hinged Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Column = sqrt(2)*Effective Column Length
l = sqrt(2)*Leff
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Length of Column - (Measured in Meter) - Length of Column is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.
Effective Column Length - (Measured in Meter) - Effective Column Length can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration.
STEP 1: Convert Input(s) to Base Unit
Effective Column Length: 2500 Millimeter --> 2.5 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
l = sqrt(2)*Leff --> sqrt(2)*2.5
Evaluating ... ...
l = 3.53553390593274
STEP 3: Convert Result to Output's Unit
3.53553390593274 Meter -->3535.53390593274 Millimeter (Check conversion here)
FINAL ANSWER
3535.53390593274 3535.534 Millimeter <-- Length of Column
(Calculation completed in 00.020 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
Verified by Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has verified this Calculator and 1900+ more calculators!

14 Estimation of Effective Length of Columns Calculators

Radius of Gyration given Effective Length and Crippling Load
Go Least Radius of Gyration Column = sqrt((Column Crippling Load*Effective Column Length^2)/(pi^2*Modulus of Elasticity Column*Column Cross Sectional Area))
Effective Length of Column given Crippling Stress
Go Effective Column Length = sqrt((pi^2*Modulus of Elasticity Column*Least Radius of Gyration Column^2)/Crippling Stress)
Effective Length of Column given Crippling Load for any type of End Condition
Go Effective Column Length = sqrt((pi^2*Modulus of Elasticity Column*Moment of Inertia Column)/(Column Crippling Load))
Modulus of Elasticity of Column given Crippling Stress
Go Modulus of Elasticity Column = (Crippling Stress*Effective Column Length^2)/(pi^2*Least Radius of Gyration Column^2)
Modulus of Elasticity given Crippling Load for any type of End Condition
Go Modulus of Elasticity Column = (Column Crippling Load*Effective Column Length^2)/(pi^2*Moment of Inertia Column)
Moment of Inertia given Crippling Load for any type of End Condition
Go Moment of Inertia Column = (Column Crippling Load*Effective Column Length^2)/(pi^2*Modulus of Elasticity Column)
Least Radius of Gyration given Slenderness Ratio
Go Least Radius of Gyration Column = Length of Column/Slenderness Ratio
Actual Length given Slenderness Ratio
Go Length of Column = Slenderness Ratio*Least Radius of Gyration Column
Effective Length of Column given Actual Length if One End is Fixed Other is Hinged
Go Effective Column Length = Length of Column/(sqrt(2))
Actual Length of Column given Effective Length if One End is Fixed Other is Hinged
Go Length of Column = sqrt(2)*Effective Column Length
Actual Length of Column given Effective Length if One End is Fixed Other is Free
Go Length of Column = Effective Column Length/2
Effective Length of Column given Actual Length if One End is Fixed Other is Free
Go Effective Column Length = 2*Length of Column
Actual Length of Column given Effective Length if Both Ends of Column are Fixed
Go Length of Column = 2*Effective Column Length
Effective Length of Column given Actual Length if Both Ends of Column are Fixed
Go Effective Column Length = Length of Column/2

4 Actual Length Calculators

Actual Length given Slenderness Ratio
Go Length of Column = Slenderness Ratio*Least Radius of Gyration Column
Actual Length of Column given Effective Length if One End is Fixed Other is Hinged
Go Length of Column = sqrt(2)*Effective Column Length
Actual Length of Column given Effective Length if One End is Fixed Other is Free
Go Length of Column = Effective Column Length/2
Actual Length of Column given Effective Length if Both Ends of Column are Fixed
Go Length of Column = 2*Effective Column Length

Actual Length of Column given Effective Length if One End is Fixed Other is Hinged Formula

Length of Column = sqrt(2)*Effective Column Length
l = sqrt(2)*Leff

What is meant by Effective Length of a Column also define Slenderness Ratio?

The effective length of the column is the length of an equivalent column of the same material and cross-sectional area with hinged ends and having the value of the crippling load equal to that of the given column. The least radius of gyration is the radius of gyration where the least moment of inertia is considered.

How to Calculate Actual Length of Column given Effective Length if One End is Fixed Other is Hinged?

Actual Length of Column given Effective Length if One End is Fixed Other is Hinged calculator uses Length of Column = sqrt(2)*Effective Column Length to calculate the Length of Column, The Actual Length of Column given Effective Length if One End is Fixed Other is Hinged formula is defined as the distance between two points where a column gets its fixity of support so its movement is restrained in all directions. Length of Column is denoted by l symbol.

How to calculate Actual Length of Column given Effective Length if One End is Fixed Other is Hinged using this online calculator? To use this online calculator for Actual Length of Column given Effective Length if One End is Fixed Other is Hinged, enter Effective Column Length (Leff) and hit the calculate button. Here is how the Actual Length of Column given Effective Length if One End is Fixed Other is Hinged calculation can be explained with given input values -> 3.5E+6 = sqrt(2)*2.5.

FAQ

What is Actual Length of Column given Effective Length if One End is Fixed Other is Hinged?
The Actual Length of Column given Effective Length if One End is Fixed Other is Hinged formula is defined as the distance between two points where a column gets its fixity of support so its movement is restrained in all directions and is represented as l = sqrt(2)*Leff or Length of Column = sqrt(2)*Effective Column Length. Effective Column Length can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration.
How to calculate Actual Length of Column given Effective Length if One End is Fixed Other is Hinged?
The Actual Length of Column given Effective Length if One End is Fixed Other is Hinged formula is defined as the distance between two points where a column gets its fixity of support so its movement is restrained in all directions is calculated using Length of Column = sqrt(2)*Effective Column Length. To calculate Actual Length of Column given Effective Length if One End is Fixed Other is Hinged, you need Effective Column Length (Leff). With our tool, you need to enter the respective value for Effective Column Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Length of Column?
In this formula, Length of Column uses Effective Column Length. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Length of Column = Slenderness Ratio*Least Radius of Gyration Column
  • Length of Column = 2*Effective Column Length
  • Length of Column = Effective Column Length/2
  • Length of Column = Slenderness Ratio*Least Radius of Gyration Column
  • Length of Column = 2*Effective Column Length
  • Length of Column = Effective Column Length/2
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!