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Crippling Load for any type of End Condition Formula

GoCrippling Load given Effective Length and Radius of Gyration Formula

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Column crippling load also known as the buckling load, is the maximum axial compressive load that a column can withstand before it buckles or fails due to instability. Check FAQs

P cr = \frac{π^{2} \cdot ε c \cdot I}{{L e}^{2}}

P_cr - Column Crippling Load?ε_c - Modulus of Elasticity of Column?I - Moment of Inertia Column?L_e - Effective Length of Column?π - Archimedes' constant?

Crippling Load for any type of End Condition Example

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Here is how the Crippling Load for any type of End Condition equation looks like with Values.

Here is how the Crippling Load for any type of End Condition equation looks like with Units.

Here is how the Crippling Load for any type of End Condition equation looks like.

10005.4102 = \frac{{3.1416}^{2} \cdot 10.56 \cdot 60000}{2500^{2}}

10005.4102N = \frac{{3.1416}^{2} \cdot 10.56MPa \cdot 60000cm⁴}{{2500mm}^{2}}

10005.4102 = \frac{{3.1416}^{2} \cdot 10.56 \cdot 60000}{2500^{2}}

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Crippling Load for any type of End Condition Solution

Follow our step by step solution on how to calculate Crippling Load for any type of End Condition?

FIRST Step Consider the formula

P cr = \frac{π^{2} \cdot ε c \cdot I}{{L e}^{2}}

Next Step Substitute values of Variables

∴

P cr = \frac{π^{2} \cdot 10.56MPa \cdot 60000cm⁴}{{2500mm}^{2}}

Next Step Substitute values of Constants

∴

P cr = \frac{{3.1416}^{2} \cdot 10.56MPa \cdot 60000cm⁴}{{2500mm}^{2}}

Next Step Convert Units

∴

P cr = \frac{{3.1416}^{2} \cdot 1.1E+7Pa \cdot 0.0006m⁴}{{2.5m}^{2}}

Next Step Prepare to Evaluate

∴

P cr = \frac{{3.1416}^{2} \cdot 1.1E+7 \cdot 0.0006}{{2.5}^{2}}

Next Step Evaluate

∴

P cr = 10005.4101576483N

LAST Step Rounding Answer

∴

P cr = 10005.4102N

Crippling Load for any type of End Condition Formula Elements

Variables

Constants

Column Crippling Load

Column crippling load also known as the buckling load, is the maximum axial compressive load that a column can withstand before it buckles or fails due to instability.

Symbol: P_cr

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Column Crippling Load

Modulus of Elasticity of Column

Modulus of elasticity of column also known as Young’s modulus, is a measure of a material’s stiffness or rigidity which quantifies the relationship between stress and strain.

Symbol: ε_c

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity of Column

Moment of Inertia Column

Moment of Inertia Column is the measure of the resistance of a body to angular acceleration about a given axis.

Symbol: I

Measurement: Second Moment of AreaUnit: cm⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia Column

Effective Length of Column

Effective length of column is the length of an equivalent pin-ended column that has the same load-carrying capacity as the actual column under consideration.

Symbol: L_e

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Effective Length of Column

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Column Crippling Load

Go Crippling Load given Effective Length and Radius of Gyration

P cr = \frac{π^{2} \cdot ε c \cdot A \cdot r^{2}}{{L e}^{2}}

Other formulas in Crippling Load category

Go Crippling Stress

σ crippling = \frac{π^{2} \cdot ε c \cdot r^{2}}{{L e}^{2}}

Go Crippling Stress given Crippling Load

σ crippling = \frac{P cr}{A}

How to Evaluate Crippling Load for any type of End Condition?

Crippling Load for any type of End Condition evaluator uses Column Crippling Load = (pi^2*Modulus of Elasticity of Column*Moment of Inertia Column)/(Effective Length of Column^2) to evaluate the Column Crippling Load, Crippling Load for any type of End Condition formula is defined as a measure of the maximum load that a column can withstand without buckling or failing, taking into account the effective length of the column and its material properties, providing a critical safety factor in structural design and engineering applications. Column Crippling Load is denoted by P_cr symbol.

How to evaluate Crippling Load for any type of End Condition using this online evaluator? To use this online evaluator for Crippling Load for any type of End Condition, enter Modulus of Elasticity of Column (ε_c), Moment of Inertia Column (I) & Effective Length of Column (L_e) and hit the calculate button.

FAQs on Crippling Load for any type of End Condition

What is the formula to find Crippling Load for any type of End Condition?

The formula of Crippling Load for any type of End Condition is expressed as Column Crippling Load = (pi^2*Modulus of Elasticity of Column*Moment of Inertia Column)/(Effective Length of Column^2). Here is an example- 10005.41 = (pi^2*10560000*0.0006)/(2.5^2).

How to calculate Crippling Load for any type of End Condition?

With Modulus of Elasticity of Column (ε_c), Moment of Inertia Column (I) & Effective Length of Column (L_e) we can find Crippling Load for any type of End Condition using the formula - Column Crippling Load = (pi^2*Modulus of Elasticity of Column*Moment of Inertia Column)/(Effective Length of Column^2). This formula also uses Archimedes' constant .

What are the other ways to Calculate Column Crippling Load?

Here are the different ways to Calculate Column Crippling Load-

Column Crippling Load=(pi^2*Modulus of Elasticity of Column*Column Cross-Sectional Area*Least Radius of Gyration of Column^2)/(Effective Length of Column^2)

Can the Crippling Load for any type of End Condition be negative?

No, the Crippling Load for any type of End Condition, measured in Force cannot be negative.

Which unit is used to measure Crippling Load for any type of End Condition?

Crippling Load for any type of End Condition is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Crippling Load for any type of End Condition can be measured.

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Crippling Load for any type of End Condition Formula

​GoCrippling Load given Effective Length and Radius of Gyration Formula

Crippling Load for any type of End Condition Example

Crippling Load for any type of End Condition Solution

Crippling Load for any type of End Condition Formula Elements

Other Formulas to find Column Crippling Load

Other formulas in Crippling Load category

How to Evaluate Crippling Load for any type of End Condition?

FAQs on Crippling Load for any type of End Condition

Variable Name

GoCrippling Load given Effective Length and Radius of Gyration Formula