Cross-Sectional Area of Column given Crushing Load Calculator

✖Crushing Load is the intensity of load required to crush the material.ⓘ Crushing Load [P_c]			+10% -10%
✖Column Crushing stress is a special type of localized compressive stress which occurs at the surface of contact of two members that are relatively at rest.ⓘ Column Crushing Stress [σ_c]			+10% -10%

✖Column Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross-Sectional Area of Column given Crushing Load [A]

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Formula

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Cross-Sectional Area of Column given Crushing Load

Formula

`"A" = "P"_{"c"}/"σ"_{"c"}`

Example

`"2000mm²"="1500kN"/"750MPa"`

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Cross-Sectional Area of Column given Crushing Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Column Cross Sectional Area = Crushing Load/Column Crushing Stress
A = P_c/σ_c
This formula uses 3 Variables

Variables Used

Column Cross Sectional Area - (Measured in Square Meter) - Column Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.
Crushing Load - (Measured in Newton) - Crushing Load is the intensity of load required to crush the material.
Column Crushing Stress - (Measured in Pascal) - Column Crushing stress is a special type of localized compressive stress which occurs at the surface of contact of two members that are relatively at rest.

STEP 1: Convert Input(s) to Base Unit

Crushing Load: 1500 Kilonewton --> 1500000 Newton (Check conversion here)
Column Crushing Stress: 750 Megapascal --> 750000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = P_c/σ_c --> 1500000/750000000

Evaluating ... ...

A = 0.002

STEP 3: Convert Result to Output's Unit

0.002 Square Meter -->2000 Square Millimeter (Check conversion here)

FINAL ANSWER

2000 Square Millimeter <-- Column Cross Sectional Area

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< 19 Euler and Rankine's Theory Calculators

Effective Length of Column given Crippling Load and Rankine's Constant

Go Effective Column Length = sqrt((Column Crushing Stress*Column Cross Sectional Area/Crippling Load-1)*(Least Radius of Gyration Column^2)/Rankine's Constant)

Least Radius of Gyration given Crippling Load and Rankine's Constant

Go Least Radius of Gyration Column = sqrt((Rankine's Constant*Effective Column Length^2)/(Column Crushing Stress*Column Cross Sectional Area/Crippling Load-1))

Rankine's Constant given Crippling Load

Go Rankine's Constant = ((Column Crushing Stress*Column Cross Sectional Area)/Crippling Load-1)*((Least Radius of Gyration Column)/Effective Column Length)^2

Cross-Sectional Area of Column given Crippling Load and Rankine's Constant

Go Column Cross Sectional Area = (Crippling Load*(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2))/Column Crushing Stress

Ultimate Crushing Stress given Crippling Load and Rankine's Constant

Go Column Crushing Stress = (Crippling Load*(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2))/Column Cross Sectional Area

Crippling Load given Rankine's Constant

Go Crippling Load = (Column Crushing Stress*Column Cross Sectional Area)/(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2)

Effective Length of Column given Crippling Load by Euler's Formula

Go Effective Column Length = sqrt((pi^2*Modulus of Elasticity Column*Moment of Inertia Column)/(Euler’s Buckling Load))

Crushing Load by Rankine's Formula

Go Crushing Load = (Rankine’s Critical Load*Euler’s Buckling Load)/(Euler’s Buckling Load-Rankine’s Critical Load)

Crippling Load by Euler's Formula given Crippling Load by Rankine's Formula

Go Euler’s Buckling Load = (Crushing Load*Rankine’s Critical Load)/(Crushing Load-Rankine’s Critical Load)

Crippling Load by Rankine's Formula

Go Rankine’s Critical Load = (Crushing Load*Euler’s Buckling Load)/(Crushing Load+Euler’s Buckling Load)

Modulus of Elasticity given Crippling Load by Euler's Formula

Go Modulus of Elasticity Column = (Euler’s Buckling Load*Effective Column Length^2)/(pi^2*Moment of Inertia Column)

Moment of Inertia given Crippling Load by Euler's Formula

Go Moment of Inertia Column = (Euler’s Buckling Load*Effective Column Length^2)/(pi^2*Modulus of Elasticity Column)

Crippling Load by Euler's Formula

Go Euler’s Buckling Load = (pi^2*Modulus of Elasticity Column*Moment of Inertia Column)/(Effective Column Length^2)

Modulus of Elasticity given Rankine's Constant

Go Modulus of Elasticity Column = Column Crushing Stress/(pi^2*Rankine's Constant)

Rankine's Constant

Go Rankine's Constant = Column Crushing Stress/(pi^2*Modulus of Elasticity Column)

Ultimate Crushing Stress given Rankine's Constant

Go Column Crushing Stress = Rankine's Constant*pi^2*Modulus of Elasticity Column

Cross-Sectional Area of Column given Crushing Load

Go Column Cross Sectional Area = Crushing Load/Column Crushing Stress

Crushing Load given Ultimate Crushing Stress

Go Crushing Load = Column Crushing Stress*Column Cross Sectional Area

Ultimate Crushing Stress given Crushing Load

Go Column Crushing Stress = Crushing Load/Column Cross Sectional Area

< 14 Rankine's Formula Calculators

Effective Length of Column given Crippling Load and Rankine's Constant

Go Effective Column Length = sqrt((Column Crushing Stress*Column Cross Sectional Area/Crippling Load-1)*(Least Radius of Gyration Column^2)/Rankine's Constant)

Least Radius of Gyration given Crippling Load and Rankine's Constant

Go Least Radius of Gyration Column = sqrt((Rankine's Constant*Effective Column Length^2)/(Column Crushing Stress*Column Cross Sectional Area/Crippling Load-1))

Rankine's Constant given Crippling Load

Go Rankine's Constant = ((Column Crushing Stress*Column Cross Sectional Area)/Crippling Load-1)*((Least Radius of Gyration Column)/Effective Column Length)^2

Cross-Sectional Area of Column given Crippling Load and Rankine's Constant

Go Column Cross Sectional Area = (Crippling Load*(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2))/Column Crushing Stress

Ultimate Crushing Stress given Crippling Load and Rankine's Constant

Go Column Crushing Stress = (Crippling Load*(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2))/Column Cross Sectional Area

Crippling Load given Rankine's Constant

Go Crippling Load = (Column Crushing Stress*Column Cross Sectional Area)/(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2)

Crushing Load by Rankine's Formula

Go Crushing Load = (Rankine’s Critical Load*Euler’s Buckling Load)/(Euler’s Buckling Load-Rankine’s Critical Load)

Crippling Load by Rankine's Formula

Go Rankine’s Critical Load = (Crushing Load*Euler’s Buckling Load)/(Crushing Load+Euler’s Buckling Load)

Modulus of Elasticity given Rankine's Constant

Go Modulus of Elasticity Column = Column Crushing Stress/(pi^2*Rankine's Constant)

Rankine's Constant

Go Rankine's Constant = Column Crushing Stress/(pi^2*Modulus of Elasticity Column)

Ultimate Crushing Stress given Rankine's Constant

Go Column Crushing Stress = Rankine's Constant*pi^2*Modulus of Elasticity Column

Cross-Sectional Area of Column given Crushing Load

Go Column Cross Sectional Area = Crushing Load/Column Crushing Stress

Crushing Load given Ultimate Crushing Stress

Go Crushing Load = Column Crushing Stress*Column Cross Sectional Area

Ultimate Crushing Stress given Crushing Load

Go Column Crushing Stress = Crushing Load/Column Cross Sectional Area

Cross-Sectional Area of Column given Crushing Load Formula

Column Cross Sectional Area = Crushing Load/Column Crushing Stress
A = P_c/σ_c

What is Ultimate Compressive Strength?

Ultimate Compressive Strength is defined as the force at which a specimen with a certain cross-section, and consisting of a particular fracturing material, fails when it is subjected to compression. The ultimate compressive strength is normally measured in N/mm2 (force per area) and is thus stress.

How to Calculate Cross-Sectional Area of Column given Crushing Load?

Cross-Sectional Area of Column given Crushing Load calculator uses Column Cross Sectional Area = Crushing Load/Column Crushing Stress to calculate the Column Cross Sectional Area, The Cross-Sectional Area of Column given Crushing Load formula is defined as the area of a two-dimensional shape that is obtained when a three-dimensional object - such as a cylinder - is sliced perpendicular to some specified axis at a point. Column Cross Sectional Area is denoted by A symbol.

How to calculate Cross-Sectional Area of Column given Crushing Load using this online calculator? To use this online calculator for Cross-Sectional Area of Column given Crushing Load, enter Crushing Load (P_c) & Column Crushing Stress (σ_c) and hit the calculate button. Here is how the Cross-Sectional Area of Column given Crushing Load calculation can be explained with given input values -> 0.002 = 1500000/750000000.

FAQ

What is Cross-Sectional Area of Column given Crushing Load?

The Cross-Sectional Area of Column given Crushing Load formula is defined as the area of a two-dimensional shape that is obtained when a three-dimensional object - such as a cylinder - is sliced perpendicular to some specified axis at a point and is represented as A = P_c/σ_c or Column Cross Sectional Area = Crushing Load/Column Crushing Stress. Crushing Load is the intensity of load required to crush the material & Column Crushing stress is a special type of localized compressive stress which occurs at the surface of contact of two members that are relatively at rest.

How to calculate Cross-Sectional Area of Column given Crushing Load?

The Cross-Sectional Area of Column given Crushing Load formula is defined as the area of a two-dimensional shape that is obtained when a three-dimensional object - such as a cylinder - is sliced perpendicular to some specified axis at a point is calculated using Column Cross Sectional Area = Crushing Load/Column Crushing Stress. To calculate Cross-Sectional Area of Column given Crushing Load, you need Crushing Load (P_c) & Column Crushing Stress (σ_c). With our tool, you need to enter the respective value for Crushing Load & Column Crushing Stress 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 Column Cross Sectional Area?

In this formula, Column Cross Sectional Area uses Crushing Load & Column Crushing Stress. We can use 2 other way(s) to calculate the same, which is/are as follows -

Column Cross Sectional Area = (Crippling Load*(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2))/Column Crushing Stress
Column Cross Sectional Area = (Crippling Load*(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2))/Column Crushing Stress

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