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

✖Value obtained from secant formula is the stress value on the column of mild steel.ⓘ Value Obtained from Secant given Axial Compression Stress Slenderness Ratio Greater than 160 [σ_c']

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

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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 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

Allowable compression stress: 10 Megapascal --> 10000000 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

σ_c' = F_a/(1.2-(L_eff/(800*r_least))) --> 10000000/(1.2-(3/(800*0.04702)))

Evaluating ... ...

σ_c' = 8926605.15624407

STEP 3: Convert Result to Output's Unit

8926605.15624407 Pascal -->8.92660515624407 Megapascal (Check conversion here)

FINAL ANSWER

8.92660515624407 ≈ 8.926605 Megapascal <-- Value obtained from Secant Formula

(Calculation completed in 00.007 seconds)

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Home » Physics » Strength of Materials » Column And Struts » Mechanical » Formula By I.S. Code For Mild Steel » Value Obtained from Secant given Axial Compression Stress Slenderness Ratio Greater than 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)))

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

LaTeX Go

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

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How to Calculate Value Obtained from Secant given Axial Compression Stress Slenderness Ratio Greater than 160?

Value Obtained from Secant given Axial Compression Stress Slenderness Ratio Greater than 160 calculator uses Value obtained from Secant Formula = Allowable compression stress/(1.2-(Effective Column Length/(800*Least Radius of Gyration Column))) to calculate the Value obtained from Secant Formula, Value Obtained from Secant given Axial Compression Stress Slenderness Ratio Greater than 160 formula is defined as a calculation that determines the critical buckling stress of a mild steel column under axial compression, considering the effective length and radius of the column. Value obtained from Secant Formula is denoted by σ_c' symbol.

How to calculate Value Obtained from Secant given Axial Compression Stress Slenderness Ratio Greater than 160 using this online calculator? To use this online calculator for Value Obtained from Secant given Axial Compression Stress Slenderness Ratio Greater than 160, enter Allowable compression stress (F_a), Effective Column Length (L_eff) & Least Radius of Gyration Column (r_least) and hit the calculate button. Here is how the Value Obtained from Secant given Axial Compression Stress Slenderness Ratio Greater than 160 calculation can be explained with given input values -> 8.9E-6 = 10000000/(1.2-(3/(800*0.04702))).

FAQ

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

Value Obtained from Secant given Axial Compression Stress Slenderness Ratio Greater than 160 formula is defined as a calculation that determines the critical buckling stress of a mild steel column under axial compression, considering the effective length and radius of the column and is represented as σ_c' = F_a/(1.2-(L_eff/(800*r_least))) or Value obtained from Secant Formula = Allowable compression stress/(1.2-(Effective Column Length/(800*Least Radius of Gyration Column))). Allowable compression stress is the maximum stress (tensile, compressive or bending) that is allowed to be applied on a structural material, 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 Value Obtained from Secant given Axial Compression Stress Slenderness Ratio Greater than 160?

Value Obtained from Secant given Axial Compression Stress Slenderness Ratio Greater than 160 formula is defined as a calculation that determines the critical buckling stress of a mild steel column under axial compression, considering the effective length and radius of the column is calculated using Value obtained from Secant Formula = Allowable compression stress/(1.2-(Effective Column Length/(800*Least Radius of Gyration Column))). To calculate Value Obtained from Secant given Axial Compression Stress Slenderness Ratio Greater than 160, you need Allowable compression stress (F_a), Effective Column Length (L_eff) & Least Radius of Gyration Column (r_least). With our tool, you need to enter the respective value for Allowable compression stress, 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 Value obtained from Secant Formula?

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

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))))))

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