Credits

National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 1000+ more calculators!
Birsa Institute of Technology (BIT), Sindri
Payal Priya has verified this Calculator and 1000+ more calculators!

Crippling load when both ends of column are hinged Solution

STEP 0: Pre-Calculation Summary
Formula Used
crippling_load = ((pi^2)*Modulus Of Elasticity*Moment of Inertia)/(Length of column^2)
P = ((pi^2)*E*I)/(l^2)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Modulus Of Elasticity - Modulus Of Elasticity is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it. (Measured in Kilonewton per Square Meter)
Moment of Inertia - Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis. (Measured in Kilogram Meter²)
Length of column - 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. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Modulus Of Elasticity: 10 Kilonewton per Square Meter --> 10000 Pascal (Check conversion here)
Moment of Inertia: 1.125 Kilogram Meter² --> 1.125 Kilogram Meter² No Conversion Required
Length of column: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = ((pi^2)*E*I)/(l^2) --> ((pi^2)*10000*1.125)/(5^2)
Evaluating ... ...
P = 4441.32198049021
STEP 3: Convert Result to Output's Unit
4441.32198049021 Newton --> No Conversion Required
FINAL ANSWER
4441.32198049021 Newton <-- Crippling Load
(Calculation completed in 00.015 seconds)

7 Expressions For Crippling Load When Both Ends Of The Column Are Hinged Calculators

Length of column in terms of crippling load when both ends of column are hinged
length_of_column = sqrt(((pi^2)*Modulus Of Elasticity*Moment of Inertia)/(Crippling Load)) Go
Modulus of elasticity in terms of crippling load when both ends of column are hinged
modulus_of_elasticity = (Crippling Load*(Length of column^2))/((pi^2)*Moment of Inertia) Go
Moment of inertia in terms of crippling load when both ends of column are hinged
moment_of_inertia = (Crippling Load*(Length of column^2))/((pi^2)*Modulus Of Elasticity) Go
Crippling load when both ends of column are hinged
crippling_load = ((pi^2)*Modulus Of Elasticity*Moment of Inertia)/(Length of column^2) Go
Deflection at section in terms of Moment at the section if both ends of column are hinged
deflection_at_section = -Moment/Crippling Load Go
Crippling load in terms of Moment at the section if both ends of column are hinged
crippling_load = -Moment/Deflection at section Go
Moment due to crippling load at the section if both ends of column are hinged
moment = -Crippling Load*Deflection at section Go

Crippling load when both ends of column are hinged Formula

crippling_load = ((pi^2)*Modulus Of Elasticity*Moment of Inertia)/(Length of column^2)
P = ((pi^2)*E*I)/(l^2)

What is buckling or crippling load?

In structural engineering, buckling is the sudden change in shape (deformation) of a structural component under loads, such as the bowing of a column under compression or the wrinkling of a plate under shear.

How to Calculate Crippling load when both ends of column are hinged?

Crippling load when both ends of column are hinged calculator uses crippling_load = ((pi^2)*Modulus Of Elasticity*Moment of Inertia)/(Length of column^2) to calculate the Crippling Load, The Crippling load when both ends of column are hinged formula is defined as the load over which a column prefers to deform laterally rather than compressing itself. Crippling Load and is denoted by P symbol.

How to calculate Crippling load when both ends of column are hinged using this online calculator? To use this online calculator for Crippling load when both ends of column are hinged, enter Modulus Of Elasticity (E), Moment of Inertia (I) and Length of column (l) and hit the calculate button. Here is how the Crippling load when both ends of column are hinged calculation can be explained with given input values -> 4441.322 = ((pi^2)*10000*1.125)/(5^2).

FAQ

What is Crippling load when both ends of column are hinged?
The Crippling load when both ends of column are hinged formula is defined as the load over which a column prefers to deform laterally rather than compressing itself and is represented as P = ((pi^2)*E*I)/(l^2) or crippling_load = ((pi^2)*Modulus Of Elasticity*Moment of Inertia)/(Length of column^2). Modulus Of Elasticity is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it, Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis and 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.
How to calculate Crippling load when both ends of column are hinged?
The Crippling load when both ends of column are hinged formula is defined as the load over which a column prefers to deform laterally rather than compressing itself is calculated using crippling_load = ((pi^2)*Modulus Of Elasticity*Moment of Inertia)/(Length of column^2). To calculate Crippling load when both ends of column are hinged, you need Modulus Of Elasticity (E), Moment of Inertia (I) and Length of column (l). With our tool, you need to enter the respective value for Modulus Of Elasticity, Moment of Inertia and Length of column 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 Crippling Load?
In this formula, Crippling Load uses Modulus Of Elasticity, Moment of Inertia and Length of column. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • moment = -Crippling Load*Deflection at section
  • crippling_load = -Moment/Deflection at section
  • deflection_at_section = -Moment/Crippling Load
  • crippling_load = ((pi^2)*Modulus Of Elasticity*Moment of Inertia)/(Length of column^2)
  • modulus_of_elasticity = (Crippling Load*(Length of column^2))/((pi^2)*Moment of Inertia)
  • moment_of_inertia = (Crippling Load*(Length of column^2))/((pi^2)*Modulus Of Elasticity)
  • length_of_column = sqrt(((pi^2)*Modulus Of Elasticity*Moment of Inertia)/(Crippling Load))
Where is the Crippling load when both ends of column are hinged calculator used?
Among many, Crippling load when both ends of column are hinged calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!