Effective Column Length given Allowable Axial Compression Stress Calculator

✖Specified minimum yield stress for column represents the minimum tensile stress or yield stress required by the flexural member, say, web.ⓘ Specified minimum yield stress for column [F_yw]			+10% -10%
✖Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.ⓘ Factor of Safety [f_s]			+10% -10%
✖Allowable compression stress is the maximum stress (tensile, compressive or bending) that is allowed to be applied on a structural material.ⓘ Allowable compression stress [F_a]			+10% -10%
✖Column Compressive load is the load applied to a column that is compressive in nature.ⓘ Column Compressive load [P_compressive]			+10% -10%
✖Modulus of Elasticity Column is a quantity that measures an object or substance's resistance to being deformed elastically when stress is applied to it.ⓘ Modulus of Elasticity Column [ε_column]			+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%

✖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 given Allowable Axial Compression Stress [L_eff]

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Effective Column Length given Allowable Axial Compression Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Column Length = (((Specified minimum yield stress for column/(Factor of Safety*Allowable compression stress))-1)/(0.20*((sqrt(Factor of Safety*Column Compressive load/(4*Modulus of Elasticity Column))))))*Least Radius of Gyration Column
L_eff = (((F_yw/(f_s*F_a))-1)/(0.20*((sqrt(f_s*P_compressive/(4*ε_column))))))*r_least
This formula uses 1 Functions, 7 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

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.
Specified minimum yield stress for column - (Measured in Pascal) - Specified minimum yield stress for column represents the minimum tensile stress or yield stress required by the flexural member, say, web.
Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
Allowable compression stress - (Measured in Pascal) - Allowable compression stress is the maximum stress (tensile, compressive or bending) that is allowed to be applied on a structural material.
Column Compressive load - (Measured in Newton) - Column Compressive load is the load applied to a column that is compressive in nature.
Modulus of Elasticity Column - (Measured in Pascal) - Modulus of Elasticity Column is a quantity that measures an object or substance's resistance to being deformed elastically when stress is applied to it.
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.

STEP 1: Convert Input(s) to Base Unit

Specified minimum yield stress for column: 2.7 Megapascal --> 2700000 Pascal (Check conversion here)
Factor of Safety: 2.8 --> No Conversion Required
Allowable compression stress: 10 Megapascal --> 10000000 Pascal (Check conversion here)
Column Compressive load: 0.4 Kilonewton --> 400 Newton (Check conversion here)
Modulus of Elasticity Column: 10.56 Megapascal --> 10560000 Pascal (Check conversion here)
Least Radius of Gyration Column: 47.02 Millimeter --> 0.04702 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_eff = (((F_yw/(f_s*F_a))-1)/(0.20*((sqrt(f_s*P_compressive/(4*ε_column))))))*r_least --> (((2700000/(2.8*10000000))-1)/(0.20*((sqrt(2.8*400/(4*10560000))))))*0.04702

Evaluating ... ...

L_eff = -41.2541898052361

STEP 3: Convert Result to Output's Unit

-41.2541898052361 Meter -->-41254.1898052361 Millimeter (Check conversion here)

FINAL ANSWER

-41254.1898052361 ≈ -41254.189805 Millimeter <-- Effective Column Length

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Column And Struts » Mechanical » Formula By I.S. Code For Mild Steel » Effective Column Length given Allowable Axial Compression Stress

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< Formula By I.S. Code For Mild Steel Calculators

Effective Column Length given Allowable Axial Compression Stress

LaTeX Go Effective Column Length = (((Specified minimum yield stress for column/(Factor of Safety*Allowable compression stress))-1)/(0.20*((sqrt(Factor of Safety*Column Compressive load/(4*Modulus of Elasticity Column))))))*Least Radius of Gyration Column

Allowable Axial Compression Stress for Slenderness Ratio 0 to 160

LaTeX Go Allowable compression stress = (Specified minimum yield stress for column/Factor of Safety)/(1+(0.20*((Effective Interest Rate/Least Radius of Gyration Column)*(sqrt(Factor of Safety*Column Compressive load/(4*Modulus of Elasticity Column))))))

Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160

LaTeX Go Specified minimum yield stress for column = Allowable compression stress*(1+(0.20*((Effective Interest Rate/Least Radius of Gyration Column)*(sqrt(Factor of Safety*Column Compressive load/(4*Modulus of Elasticity Column))))))*Factor of Safety

Allowable Axial Compression Stress for Slenderness Ratio greater than 160

LaTeX Go Allowable compression stress = Value obtained from Secant Formula*(1.2-(Effective Column Length/(800*Least Radius of Gyration Column)))

Effective Column Length given Allowable Axial Compression Stress Formula

LaTeX Go

Which is example of eccentric loading?

Examples of eccentric loading activities include performing a calf raise off the ledge of a stair, an exercise that has been shown to decrease the risk of Achilles tendon injuries. Another example is the nordic curl exercise, which has been shown to help reduce the risk of hamstring strains.

How to Calculate Effective Column Length given Allowable Axial Compression Stress?

Effective Column Length given Allowable Axial Compression Stress calculator uses Effective Column Length = (((Specified minimum yield stress for column/(Factor of Safety*Allowable compression stress))-1)/(0.20*((sqrt(Factor of Safety*Column Compressive load/(4*Modulus of Elasticity Column))))))*Least Radius of Gyration Column to calculate the Effective Column Length, Effective Column Length given Allowable Axial Compression Stress formula is defined as a measure of the effective length of a column in a structure, considering the allowable axial compression stress, yield strength, and other factors, to ensure the stability and safety of the structure under various loads. Effective Column Length is denoted by L_eff symbol.

How to calculate Effective Column Length given Allowable Axial Compression Stress using this online calculator? To use this online calculator for Effective Column Length given Allowable Axial Compression Stress, enter Specified minimum yield stress for column (F_yw), Factor of Safety (f_s), Allowable compression stress (F_a), Column Compressive load (P_compressive), Modulus of Elasticity Column (ε_column) & Least Radius of Gyration Column (r_least) and hit the calculate button. Here is how the Effective Column Length given Allowable Axial Compression Stress calculation can be explained with given input values -> -41254189.805236 = (((2700000/(2.8*10000000))-1)/(0.20*((sqrt(2.8*400/(4*10560000))))))*0.04702.

FAQ

What is Effective Column Length given Allowable Axial Compression Stress?

Effective Column Length given Allowable Axial Compression Stress formula is defined as a measure of the effective length of a column in a structure, considering the allowable axial compression stress, yield strength, and other factors, to ensure the stability and safety of the structure under various loads and is represented as L_eff = (((F_yw/(f_s*F_a))-1)/(0.20*((sqrt(f_s*P_compressive/(4*ε_column))))))*r_least or Effective Column Length = (((Specified minimum yield stress for column/(Factor of Safety*Allowable compression stress))-1)/(0.20*((sqrt(Factor of Safety*Column Compressive load/(4*Modulus of Elasticity Column))))))*Least Radius of Gyration Column. Specified minimum yield stress for column represents the minimum tensile stress or yield stress required by the flexural member, say, web, Factor of Safety expresses how much stronger a system is than it needs to be for an intended load, Allowable compression stress is the maximum stress (tensile, compressive or bending) that is allowed to be applied on a structural material, Column Compressive load is the load applied to a column that is compressive in nature, Modulus of Elasticity Column is a quantity that measures an object or substance's resistance to being deformed elastically when stress is applied to it & Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations.

How to calculate Effective Column Length given Allowable Axial Compression Stress?

Effective Column Length given Allowable Axial Compression Stress formula is defined as a measure of the effective length of a column in a structure, considering the allowable axial compression stress, yield strength, and other factors, to ensure the stability and safety of the structure under various loads is calculated using Effective Column Length = (((Specified minimum yield stress for column/(Factor of Safety*Allowable compression stress))-1)/(0.20*((sqrt(Factor of Safety*Column Compressive load/(4*Modulus of Elasticity Column))))))*Least Radius of Gyration Column. To calculate Effective Column Length given Allowable Axial Compression Stress, you need Specified minimum yield stress for column (F_yw), Factor of Safety (f_s), Allowable compression stress (F_a), Column Compressive load (P_compressive), Modulus of Elasticity Column (ε_column) & Least Radius of Gyration Column (r_least). With our tool, you need to enter the respective value for Specified minimum yield stress for column, Factor of Safety, Allowable compression stress, Column Compressive load, Modulus of Elasticity Column & Least Radius of Gyration 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 Effective Column Length?

In this formula, Effective Column Length uses Specified minimum yield stress for column, Factor of Safety, Allowable compression stress, Column Compressive load, Modulus of Elasticity Column & Least Radius of Gyration Column. We can use 1 other way(s) to calculate the same, which is/are as follows -

Effective Column Length = 1.2-(Allowable compression stress/Value obtained from Secant Formula)*(800*Least Radius of Gyration Column)

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