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

✖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%
✖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%
✖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%
✖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%

✖Specified minimum yield stress for column represents the minimum tensile stress or yield stress required by the flexural member, say, web.ⓘ Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160 [F_yw]

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Formula

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

Formula

`"F"_{"yw"} = "F"_{"a"}*(1+(0.20*(("EAR"/"r"_{"least"})*(sqrt("f"_{"s"}*"P"_{"compressive"}/(4*"ε"_{"column"}))))))*"f"_{"s"}`

Example

`"31.67963MPa"="10MPa"*(1+(0.20*(("6"/"47.02mm")*(sqrt("2.8"*"0.4kN"/(4*"10.56MPa"))))))*"2.8"`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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.
Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
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

Allowable compression stress: 10 Megapascal --> 10000000 Pascal (Check conversion here)
Effective Interest Rate: 6 --> No Conversion Required
Least Radius of Gyration Column: 47.02 Millimeter --> 0.04702 Meter (Check conversion here)
Factor of Safety: 2.8 --> No Conversion Required
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_yw = F_a*(1+(0.20*((EAR/r_least)*(sqrt(f_s*P_compressive/(4*ε_column))))))*f_s --> 10000000*(1+(0.20*((6/0.04702)*(sqrt(2.8*400/(4*10560000))))))*2.8

Evaluating ... ...

F_yw = 31679626.2565489

STEP 3: Convert Result to Output's Unit

31679626.2565489 Pascal -->31.6796262565489 Megapascal (Check conversion here)

FINAL ANSWER

31.6796262565489 ≈ 31.67963 Megapascal <-- Specified minimum yield stress for column

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Column And Struts » Formula By I.S. Code For Mild Steel » Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 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)

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

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

Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160 calculator uses 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 to calculate the Specified minimum yield stress for column, The Minimum yield stress for allowable axial compression stress for slenderness ratio between 0 to 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. Specified minimum yield stress for column is denoted by F_yw symbol.

How to calculate Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160 using this online calculator? To use this online calculator for Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160, enter Allowable compression stress (F_a), Effective Interest Rate (EAR), Least Radius of Gyration Column (r_least), Factor of Safety (f_s), Column Compressive load (P_compressive) & Modulus of Elasticity Column (ε_column) and hit the calculate button. Here is how the Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160 calculation can be explained with given input values -> 3.4E-5 = 10000000*(1+(0.20*((6/0.04702)*(sqrt(2.8*400/(4*10560000))))))*2.8.

FAQ

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

The Minimum yield stress for allowable axial compression stress for slenderness ratio between 0 to 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_yw = F_a*(1+(0.20*((EAR/r_least)*(sqrt(f_s*P_compressive/(4*ε_column))))))*f_s or 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 compression stress is the maximum stress (tensile, compressive or bending) that is allowed to be applied on a structural material, 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, Factor of Safety expresses how much stronger a system is than it needs to be for an intended load, 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 Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160?

The Minimum yield stress for allowable axial compression stress for slenderness ratio between 0 to 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 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. To calculate Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160, you need Allowable compression stress (F_a), Effective Interest Rate (EAR), Least Radius of Gyration Column (r_least), Factor of Safety (f_s), Column Compressive load (P_compressive) & Modulus of Elasticity Column (ε_column). With our tool, you need to enter the respective value for Allowable compression stress, Effective Interest Rate, Least Radius of Gyration Column, Factor of Safety, 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.

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