Allowable Axial Compression Stress for Slenderness Ratio 0 to 160 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%
✖The effective interest rate is the true rate of interest earned.ⓘ Effective Interest Rate [EAR]			+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 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%

✖Allowable compression stress is the maximum stress (tensile, compressive or bending) that is allowed to be applied on a structural material.ⓘ Allowable Axial Compression Stress for Slenderness Ratio 0 to 160 [F_a]

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Allowable Axial Compression Stress for Slenderness Ratio 0 to 160 Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))))))
F_a = (F_yw/f_s)/(1+(0.20*((EAR/r_least)*(sqrt(f_s*P_compressive/(4*ε_column))))))
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

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.
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.
Effective Interest Rate - The effective interest rate is the true rate of interest earned.
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 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.

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
Effective Interest Rate: 6 --> No Conversion Required
Least Radius of Gyration Column: 47.02 Millimeter --> 0.04702 Meter (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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_a = (F_yw/f_s)/(1+(0.20*((EAR/r_least)*(sqrt(f_s*P_compressive/(4*ε_column)))))) --> (2700000/2.8)/(1+(0.20*((6/0.04702)*(sqrt(2.8*400/(4*10560000))))))

Evaluating ... ...

F_a = 852282.782042558

STEP 3: Convert Result to Output's Unit

852282.782042558 Pascal -->0.852282782042558 Megapascal (Check conversion here)

FINAL ANSWER

0.852282782042558 ≈ 0.852283 Megapascal <-- Allowable compression stress

(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 » Allowable Axial Compression Stress for Slenderness Ratio 0 to 160

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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)))

Allowable Axial Compression Stress for Slenderness Ratio 0 to 160 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 Allowable Axial Compression Stress for Slenderness Ratio 0 to 160?

Allowable Axial Compression Stress for Slenderness Ratio 0 to 160 calculator uses 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)))))) to calculate the Allowable compression stress, Allowable Axial Compression Stress for Slenderness Ratio 0 to 160 formula is defined as the maximum compressive stress that a mild steel column can withstand without buckling, considering the slenderness ratio, yield strength, and compressive load, ensuring safe design and construction of steel structures. Allowable compression stress is denoted by F_a symbol.

How to calculate Allowable Axial Compression Stress for Slenderness Ratio 0 to 160 using this online calculator? To use this online calculator for Allowable Axial Compression Stress for Slenderness Ratio 0 to 160, enter Specified minimum yield stress for column (F_yw), Factor of Safety (f_s), Effective Interest Rate (EAR), Least Radius of Gyration Column (r_least), Column Compressive load (P_compressive) & Modulus of Elasticity Column (ε_column) and hit the calculate button. Here is how the Allowable Axial Compression Stress for Slenderness Ratio 0 to 160 calculation can be explained with given input values -> 8.5E-7 = (2700000/2.8)/(1+(0.20*((6/0.04702)*(sqrt(2.8*400/(4*10560000)))))).

FAQ

What is Allowable Axial Compression Stress for Slenderness Ratio 0 to 160?

Allowable Axial Compression Stress for Slenderness Ratio 0 to 160 formula is defined as the maximum compressive stress that a mild steel column can withstand without buckling, considering the slenderness ratio, yield strength, and compressive load, ensuring safe design and construction of steel structures and is represented as F_a = (F_yw/f_s)/(1+(0.20*((EAR/r_least)*(sqrt(f_s*P_compressive/(4*ε_column)))))) or 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)))))). 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, The effective interest rate is the true rate of interest earned, Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations, 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.

How to calculate Allowable Axial Compression Stress for Slenderness Ratio 0 to 160?

Allowable Axial Compression Stress for Slenderness Ratio 0 to 160 formula is defined as the maximum compressive stress that a mild steel column can withstand without buckling, considering the slenderness ratio, yield strength, and compressive load, ensuring safe design and construction of steel structures is calculated using 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)))))). To calculate Allowable Axial Compression Stress for Slenderness Ratio 0 to 160, you need Specified minimum yield stress for column (F_yw), Factor of Safety (f_s), Effective Interest Rate (EAR), Least Radius of Gyration Column (r_least), Column Compressive load (P_compressive) & Modulus of Elasticity Column (ε_column). With our tool, you need to enter the respective value for Specified minimum yield stress for column, Factor of Safety, Effective Interest Rate, Least Radius of Gyration Column, Column Compressive load & Modulus of Elasticity 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 Allowable compression stress?

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

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

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