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Value Obtained from Secant Formula given Allowable Axial Compression Stress Formula

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

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Value obtained from secant formula is the stress value on the column of mild steel. Check FAQs

σ c' = \frac{\frac{F yw}{f s}}{1 + (0.20 \cdot ((\frac{EAR}{r least}) \cdot (\sqrt{f s \cdot \frac{P compressive}{4 \cdot ε column}})))}

σ_c' - Value obtained from Secant Formula?F_yw - Specified minimum yield stress for column?f_s - Factor of Safety?EAR - Effective Interest Rate?r_least - Least Radius of Gyration Column?P_compressive - Column Compressive load?ε_column - Modulus of Elasticity Column?

Value Obtained from Secant Formula given Allowable Axial Compression Stress Example

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Here is how the Value Obtained from Secant Formula given Allowable Axial Compression Stress equation looks like with Values.

Here is how the Value Obtained from Secant Formula given Allowable Axial Compression Stress equation looks like with Units.

Here is how the Value Obtained from Secant Formula given Allowable Axial Compression Stress equation looks like.

0.8523 = \frac{\frac{2.7}{2.8}}{1 + (0.20 \cdot ((\frac{6}{47.02}) \cdot (\sqrt{2.8 \cdot \frac{0.4}{4 \cdot 10.56}})))}

0.8523MPa = \frac{\frac{2.7MPa}{2.8}}{1 + (0.20 \cdot ((\frac{6}{47.02mm}) \cdot (\sqrt{2.8 \cdot \frac{0.4kN}{4 \cdot 10.56MPa}})))}

0.8523 = \frac{\frac{2.7}{2.8}}{1 + (0.20 \cdot ((\frac{6}{47.02}) \cdot (\sqrt{2.8 \cdot \frac{0.4}{4 \cdot 10.56}})))}

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Value Obtained from Secant Formula given Allowable Axial Compression Stress Solution

Follow our step by step solution on how to calculate Value Obtained from Secant Formula given Allowable Axial Compression Stress?

FIRST Step Consider the formula

σ c' = \frac{\frac{F yw}{f s}}{1 + (0.20 \cdot ((\frac{EAR}{r least}) \cdot (\sqrt{f s \cdot \frac{P compressive}{4 \cdot ε column}})))}

Next Step Substitute values of Variables

∴

σ c' = \frac{\frac{2.7MPa}{2.8}}{1 + (0.20 \cdot ((\frac{6}{47.02mm}) \cdot (\sqrt{2.8 \cdot \frac{0.4kN}{4 \cdot 10.56MPa}})))}

Next Step Convert Units

∴

σ c' = \frac{\frac{2.7E+6Pa}{2.8}}{1 + (0.20 \cdot ((\frac{6}{0.047m}) \cdot (\sqrt{2.8 \cdot \frac{400N}{4 \cdot 1.1E+7Pa}})))}

Next Step Prepare to Evaluate

∴

σ c' = \frac{\frac{2.7E+6}{2.8}}{1 + (0.20 \cdot ((\frac{6}{0.047}) \cdot (\sqrt{2.8 \cdot \frac{400}{4 \cdot 1.1E+7}})))}

Next Step Evaluate

∴

σ c' = 852282.782042558Pa

Next Step Convert to Output's Unit

∴

σ c' = 0.852282782042558MPa

LAST Step Rounding Answer

∴

σ c' = 0.8523MPa

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

Variables

Functions

Value obtained from Secant Formula

Value obtained from secant formula is the stress value on the column of mild steel.

Symbol: σ_c'

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Value obtained from Secant Formula

Specified minimum yield stress for column

Specified minimum yield stress for column represents the minimum tensile stress or yield stress required by the flexural member, say, web.

Symbol: F_yw

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Specified minimum yield stress for column

Factor of Safety

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

Symbol: f_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor of Safety

Effective Interest Rate

The effective interest rate is the true rate of interest earned.

Symbol: EAR

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Effective Interest Rate

Least Radius of Gyration Column

Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations.

Symbol: r_least

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Least Radius of Gyration Column

Column Compressive load

Column Compressive load is the load applied to a column that is compressive in nature.

Symbol: P_compressive

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Column Compressive load

Modulus of Elasticity Column

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.

Symbol: ε_column

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity Column

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.

Syntax: sqrt(Number)

Other Formulas to find Value obtained from Secant Formula

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

σ c' = \frac{F a}{1.2 - (\frac{L eff}{800 \cdot r least})}

Other formulas in Formula By I.S. Code For Mild Steel category

Go Allowable Axial Compression Stress for Slenderness Ratio 0 to 160

F a = \frac{\frac{F yw}{f s}}{1 + (0.20 \cdot ((\frac{EAR}{r least}) \cdot (\sqrt{f s \cdot \frac{P compressive}{4 \cdot ε column}})))}

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

F yw = F a \cdot (1 + (0.20 \cdot ((\frac{EAR}{r least}) \cdot (\sqrt{f s \cdot \frac{P compressive}{4 \cdot ε column}})))) \cdot f s

How to Evaluate Value Obtained from Secant Formula given Allowable Axial Compression Stress?

Value Obtained from Secant Formula given Allowable Axial Compression Stress evaluator 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 evaluate the Value obtained from Secant Formula, Value Obtained from Secant Formula given Allowable Axial Compression Stress formula is a measure of the maximum allowable axial compressive stress in mild steel structures, considering factors such as yield strength, compressive load, and column eccentricity, as per the Indian Standard Code. Value obtained from Secant Formula is denoted by σ_c' symbol.

How to evaluate Value Obtained from Secant Formula given Allowable Axial Compression Stress using this online evaluator? To use this online evaluator 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.

FAQs on Value Obtained from Secant Formula given Allowable Axial Compression Stress

What is the formula to find Value Obtained from Secant Formula given Allowable Axial Compression Stress?

The formula of Value Obtained from Secant Formula given Allowable Axial Compression Stress is expressed as 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)))))). Here is an example- 8.5E-7 = (2700000/2.8)/(1+(0.20*((6/0.04702)*(sqrt(2.8*400/(4*10560000)))))).

How to calculate Value Obtained from Secant Formula given Allowable Axial Compression Stress?

With 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) we can find Value Obtained from Secant Formula given Allowable Axial Compression Stress using the formula - 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)))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Value obtained from Secant Formula?

Here are the different ways to Calculate Value obtained from Secant Formula-

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

Can the Value Obtained from Secant Formula given Allowable Axial Compression Stress be negative?

No, the Value Obtained from Secant Formula given Allowable Axial Compression Stress, measured in Pressure cannot be negative.

Which unit is used to measure Value Obtained from Secant Formula given Allowable Axial Compression Stress?

Value Obtained from Secant Formula given Allowable Axial Compression Stress is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Value Obtained from Secant Formula given Allowable Axial Compression Stress can be measured.

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Value Obtained from Secant Formula given Allowable Axial Compression Stress Formula

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

Value Obtained from Secant Formula given Allowable Axial Compression Stress Example

Value Obtained from Secant Formula given Allowable Axial Compression Stress Solution

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

Other Formulas to find Value obtained from Secant Formula

Other formulas in Formula By I.S. Code For Mild Steel category

How to Evaluate Value Obtained from Secant Formula given Allowable Axial Compression Stress?

FAQs on Value Obtained from Secant Formula given Allowable Axial Compression Stress

Variable Name

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