Allowable Axial Compression Stress for Slenderness Ratio greater than 160 Calculator

✖Value obtained from secant formula is the stress value on the column of mild steel.ⓘ Value obtained from Secant Formula [σ_c']			+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%

✖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 greater than 160 [F_a]

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Formula

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Allowable Axial Compression Stress for Slenderness Ratio greater than 160

Formula

`"F"_{"a"} = "σ"_{"c'"}*(1.2-("L"_{"eff"}/(800*"r"_{"least"})))`

Example

`"448.3787MPa"="400.25MPa"*(1.2-("3000mm"/(800*"47.02mm")))`

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Allowable Axial Compression Stress for Slenderness Ratio greater than 160 Solution

STEP 0: Pre-Calculation Summary

Formula Used

Allowable compression stress = Value obtained from Secant Formula*(1.2-(Effective Column Length/(800*Least Radius of Gyration Column)))
F_a = σ_c'*(1.2-(L_eff/(800*r_least)))
This formula uses 4 Variables

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.
Value obtained from Secant Formula - (Measured in Pascal) - Value obtained from secant formula is the stress value on the column of mild steel.
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.

STEP 1: Convert Input(s) to Base Unit

Value obtained from Secant Formula: 400.25 Megapascal --> 400250000 Pascal (Check conversion here)
Effective Column Length: 3000 Millimeter --> 3 Meter (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

F_a = σ_c'*(1.2-(L_eff/(800*r_least))) --> 400250000*(1.2-(3/(800*0.04702)))

Evaluating ... ...

F_a = 448378743.088048

STEP 3: Convert Result to Output's Unit

448378743.088048 Pascal -->448.378743088048 Megapascal (Check conversion here)

FINAL ANSWER

448.378743088048 ≈ 448.3787 Megapascal <-- Allowable compression stress

(Calculation completed in 00.020 seconds)

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Home » Physics » Strength of Materials » Column And Struts » Formula By I.S. Code For Mild Steel » Allowable Axial Compression Stress for Slenderness Ratio greater than 160

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< 10+ Formula By I.S. Code For Mild Steel Calculators

Value Obtained from Secant Formula given Allowable Axial Compression Stress

Go Value obtained from Secant Formula = (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))))))

Least Radius of Gyration given Allowable Axial Compression Stress

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

Effective Column Length given Allowable Axial Compression Stress

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

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

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

Slenderness Ratio given Allowable Axial Compression Stress

Go Slenderness Ratio = ((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)))))

Value Obtained from Secant given Axial Compression Stress Slenderness Ratio Greater than 160

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

Least Radius of Gyration given Allowable Axial Compression Stress Slenderness Ratio More 160

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

Allowable Axial Compression Stress for Slenderness Ratio greater than 160

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, SL Ratio Greater than 160

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

Allowable Axial Compression Stress for Slenderness Ratio greater than 160 Formula

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

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 greater than 160?

Allowable Axial Compression Stress for Slenderness Ratio greater than 160 calculator uses Allowable compression stress = Value obtained from Secant Formula*(1.2-(Effective Column Length/(800*Least Radius of Gyration Column))) to calculate the Allowable compression stress, The Allowable axial compression stress for slenderness ratio greater than 160 formula is defined as the force acting on the unit area of a material. The effect of stress on a body is named strain. Stress can deform the body. Allowable compression stress is denoted by F_a symbol.

How to calculate Allowable Axial Compression Stress for Slenderness Ratio greater than 160 using this online calculator? To use this online calculator for Allowable Axial Compression Stress for Slenderness Ratio greater than 160, enter Value obtained from Secant Formula (σ_c'), Effective Column Length (L_eff) & Least Radius of Gyration Column (r_least) and hit the calculate button. Here is how the Allowable Axial Compression Stress for Slenderness Ratio greater than 160 calculation can be explained with given input values -> 0.000448 = 400250000*(1.2-(3/(800*0.04702))).

FAQ

What is Allowable Axial Compression Stress for Slenderness Ratio greater than 160?

The Allowable axial compression stress for slenderness ratio greater than 160 formula is defined as the force acting on the unit area of a material. The effect of stress on a body is named strain. Stress can deform the body and is represented as F_a = σ_c'*(1.2-(L_eff/(800*r_least))) or Allowable compression stress = Value obtained from Secant Formula*(1.2-(Effective Column Length/(800*Least Radius of Gyration Column))). Value obtained from secant formula is the stress value on the column of mild steel, 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.

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

The Allowable axial compression stress for slenderness ratio greater than 160 formula is defined as the force acting on the unit area of a material. The effect of stress on a body is named strain. Stress can deform the body is calculated using Allowable compression stress = Value obtained from Secant Formula*(1.2-(Effective Column Length/(800*Least Radius of Gyration Column))). To calculate Allowable Axial Compression Stress for Slenderness Ratio greater than 160, you need Value obtained from Secant Formula (σ_c'), Effective Column Length (L_eff) & Least Radius of Gyration Column (r_least). With our tool, you need to enter the respective value for Value obtained from Secant Formula, Effective Column Length & 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 Allowable compression stress?

In this formula, Allowable compression stress uses Value obtained from Secant Formula, Effective Column Length & Least Radius of Gyration Column. We can use 1 other way(s) to calculate the same, which is/are as follows -

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))))))

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