Value Obtained from Secant Formula 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%
✖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%

✖Value obtained from secant formula is the stress value on the column of mild steel.ⓘ Value Obtained from Secant Formula given Allowable Axial Compression Stress [σ_c']

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Value Obtained from Secant Formula given Allowable Axial Compression Stress

Formula

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

Example

`"0.852283MPa"=("2.7MPa"/"2.8")/(1+(0.20*(("6"/"47.02mm")*(sqrt("2.8"*"0.4kN"/(4*"10.56MPa"))))))`

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Value Obtained from Secant Formula given Allowable Axial Compression Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))))))
σ_c' = (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

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

σ_c' = (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 ... ...

σ_c' = 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 <-- Value obtained from Secant Formula

(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 » Value Obtained from Secant Formula given Allowable Axial Compression Stress

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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)

Value Obtained from Secant Formula given Allowable Axial Compression Stress 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 Value Obtained from Secant Formula given Allowable Axial Compression Stress?

Value Obtained from Secant Formula given Allowable Axial Compression Stress calculator uses 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)))))) to calculate the Value obtained from Secant Formula, The Value obtained from secant formula given allowable axial compression stress formula is defined as the stress value obtained from the secant formula. Value obtained from Secant Formula is denoted by σ_c' symbol.

How to calculate Value Obtained from Secant Formula given Allowable Axial Compression Stress using this online calculator? To use this online calculator for Value Obtained from Secant Formula given Allowable Axial Compression Stress, 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 Value Obtained from Secant Formula given Allowable Axial Compression Stress calculation can be explained with given input values -> 7.9E-7 = (2700000/2.8)/(1+(0.20*((6/0.04702)*(sqrt(2.8*400/(4*10560000)))))).

FAQ

What is Value Obtained from Secant Formula given Allowable Axial Compression Stress?

The Value obtained from secant formula given allowable axial compression stress formula is defined as the stress value obtained from the secant formula and is represented as σ_c' = (F_yw/f_s)/(1+(0.20*((EAR/r_least)*(sqrt(f_s*P_compressive/(4*ε_column)))))) or 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)))))). 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 Value Obtained from Secant Formula given Allowable Axial Compression Stress?

The Value obtained from secant formula given allowable axial compression stress formula is defined as the stress value obtained from the secant formula is calculated using 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)))))). To calculate Value Obtained from Secant Formula given Allowable Axial Compression Stress, 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 Value obtained from Secant Formula?

In this formula, Value obtained from Secant Formula 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 -

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

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