Ultimate Crushing Stress given Crippling Load and Rankine's Constant Calculator

✖Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.ⓘ Crippling Load [P]			+10% -10%
✖Rankine's Constant is the constant of Rankine's empirical formula.ⓘ Rankine's Constant [α]			+10% -10%
✖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.ⓘ Effective Column Length [L_eff]			+10% -10%
✖Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations.ⓘ Least Radius of Gyration Column [r_least]			+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.ⓘ Column Cross Sectional Area [A]			+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.ⓘ Ultimate Crushing Stress given Crippling Load and Rankine's Constant [σ_c]

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Ultimate Crushing Stress given Crippling Load and Rankine's Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Column Crushing Stress = (Crippling Load*(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2))/Column Cross Sectional Area
σ_c = (P*(1+α*(L_eff/r_least)^2))/A
This formula uses 6 Variables

Variables Used

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.
Crippling Load - (Measured in Newton) - Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.
Rankine's Constant - Rankine's Constant is the constant of Rankine's empirical formula.
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.
Least Radius of Gyration Column - (Measured in Meter) - Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations.
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.

STEP 1: Convert Input(s) to Base Unit

Crippling Load: 588.9524 Kilonewton --> 588952.4 Newton (Check conversion here)
Rankine's Constant: 0.00038 --> No Conversion Required
Effective Column Length: 3000 Millimeter --> 3 Meter (Check conversion here)
Least Radius of Gyration Column: 47.02 Millimeter --> 0.04702 Meter (Check conversion here)
Column Cross Sectional Area: 2000 Square Millimeter --> 0.002 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_c = (P*(1+α*(L_eff/r_least)^2))/A --> (588952.4*(1+0.00038*(3/0.04702)^2))/0.002

Evaluating ... ...

σ_c = 749999983.195147

STEP 3: Convert Result to Output's Unit

749999983.195147 Pascal -->749.999983195147 Megapascal (Check conversion here)

FINAL ANSWER

749.999983195147 ≈ 750 Megapascal <-- Column Crushing Stress

(Calculation completed in 00.008 seconds)

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< Euler and Rankine's Theory Calculators

Crushing Load by Rankine's Formula

LaTeX 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

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

Crippling Load by Rankine's

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

Crushing Load given Ultimate Crushing Stress

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

< Rankine's Formula Calculators

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

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

Crippling Load given Rankine's Constant

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

Crippling Load by Rankine's

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

Cross-Sectional Area of Column given Crushing Load

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

Ultimate Crushing Stress given Crippling Load and Rankine's Constant Formula

LaTeX Go

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

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 Ultimate Crushing Stress given Crippling Load and Rankine's Constant?

Ultimate Crushing Stress given Crippling Load and Rankine's Constant calculator uses Column Crushing Stress = (Crippling Load*(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2))/Column Cross Sectional Area to calculate the Column Crushing Stress, The Ultimate Crushing Stress given Crippling Load and Rankine's Constant formula is defined as a measure of the maximum stress a column can withstand without collapsing, considering the crippling load and Rankine's constant, which is essential in Euler and Rankine's theory for structural analysis and design. Column Crushing Stress is denoted by σ_c symbol.

How to calculate Ultimate Crushing Stress given Crippling Load and Rankine's Constant using this online calculator? To use this online calculator for Ultimate Crushing Stress given Crippling Load and Rankine's Constant, enter Crippling Load (P), Rankine's Constant (α), Effective Column Length (L_eff), Least Radius of Gyration Column (r_least) & Column Cross Sectional Area (A) and hit the calculate button. Here is how the Ultimate Crushing Stress given Crippling Load and Rankine's Constant calculation can be explained with given input values -> 0.00075 = (588952.4*(1+0.00038*(3/0.04702)^2))/0.002.

FAQ

What is Ultimate Crushing Stress given Crippling Load and Rankine's Constant?

The Ultimate Crushing Stress given Crippling Load and Rankine's Constant formula is defined as a measure of the maximum stress a column can withstand without collapsing, considering the crippling load and Rankine's constant, which is essential in Euler and Rankine's theory for structural analysis and design and is represented as σ_c = (P*(1+α*(L_eff/r_least)^2))/A or Column Crushing Stress = (Crippling Load*(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2))/Column Cross Sectional Area. Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself, Rankine's Constant is the constant of Rankine's empirical formula, 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, Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations & 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.

How to calculate Ultimate Crushing Stress given Crippling Load and Rankine's Constant?

The Ultimate Crushing Stress given Crippling Load and Rankine's Constant formula is defined as a measure of the maximum stress a column can withstand without collapsing, considering the crippling load and Rankine's constant, which is essential in Euler and Rankine's theory for structural analysis and design is calculated using Column Crushing Stress = (Crippling Load*(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2))/Column Cross Sectional Area. To calculate Ultimate Crushing Stress given Crippling Load and Rankine's Constant, you need Crippling Load (P), Rankine's Constant (α), Effective Column Length (L_eff), Least Radius of Gyration Column (r_least) & Column Cross Sectional Area (A). With our tool, you need to enter the respective value for Crippling Load, Rankine's Constant, Effective Column Length, Least Radius of Gyration Column & Column Cross Sectional Area 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 Crushing Stress?

In this formula, Column Crushing Stress uses Crippling Load, Rankine's Constant, Effective Column Length, Least Radius of Gyration Column & Column Cross Sectional Area. We can use 3 other way(s) to calculate the same, which is/are as follows -

Column Crushing Stress = Crushing Load/Column Cross Sectional Area
Column Crushing Stress = Rankine's Constant*pi^2*Modulus of Elasticity Column
Column Crushing Stress = Crushing Load/Column Cross Sectional Area

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