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Allowable Axial Compression Stress for Slenderness Ratio greater than 160 Formula

GoAllowable Axial Compression Stress for Slenderness Ratio 0 to 160 Formula

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Allowable compression stress is the maximum stress (tensile, compressive or bending) that is allowed to be applied on a structural material. Check FAQs

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

F_a - Allowable compression stress?σ_c' - Value obtained from Secant Formula?L_eff - Effective Column Length?r_least - Least Radius of Gyration Column?

Allowable Axial Compression Stress for Slenderness Ratio greater than 160 Example

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Here is how the Allowable Axial Compression Stress for Slenderness Ratio greater than 160 equation looks like with Values.

Here is how the Allowable Axial Compression Stress for Slenderness Ratio greater than 160 equation looks like with Units.

Here is how the Allowable Axial Compression Stress for Slenderness Ratio greater than 160 equation looks like.

448.3787 = 400.25 \cdot (1.2 - (\frac{3000}{800 \cdot 47.02}))

448.3787MPa = 400.25MPa \cdot (1.2 - (\frac{3000mm}{800 \cdot 47.02mm}))

448.3787 = 400.25 \cdot (1.2 - (\frac{3000}{800 \cdot 47.02}))

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Strength of Materials » fx Allowable Axial Compression Stress for Slenderness Ratio greater than 160

Allowable Axial Compression Stress for Slenderness Ratio greater than 160 Solution

Follow our step by step solution on how to calculate Allowable Axial Compression Stress for Slenderness Ratio greater than 160?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

F a = 400.25MPa \cdot (1.2 - (\frac{3000mm}{800 \cdot 47.02mm}))

Next Step Convert Units

∴

F a = 4E+8Pa \cdot (1.2 - (\frac{3m}{800 \cdot 0.047m}))

Next Step Prepare to Evaluate

∴

F a = 4E+8 \cdot (1.2 - (\frac{3}{800 \cdot 0.047}))

Next Step Evaluate

∴

F a = 448378743.088048Pa

Next Step Convert to Output's Unit

∴

F a = 448.378743088048MPa

LAST Step Rounding Answer

∴

F a = 448.3787MPa

Allowable Axial Compression Stress for Slenderness Ratio greater than 160 Formula Elements

Variables

Allowable compression stress

Allowable compression stress is the maximum stress (tensile, compressive or bending) that is allowed to be applied on a structural material.

Symbol: F_a

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Allowable compression stress

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

Effective Column Length

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.

Symbol: L_eff

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Effective Column Length

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

Other Formulas to find Allowable compression stress

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}})))}

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

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

Go Effective Column Length given Allowable Axial Compression Stress

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

Go Least Radius of Gyration given Allowable Axial Compression Stress

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

Go Slenderness Ratio given Allowable Axial Compression Stress

λ = \frac{(\frac{F yw}{f s \cdot F a}) - 1}{0.20 \cdot ((\sqrt{f s \cdot \frac{P compressive}{4 \cdot ε column}}))}

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

Allowable Axial Compression Stress for Slenderness Ratio greater than 160 evaluator uses Allowable compression stress = Value obtained from Secant Formula*(1.2-(Effective Column Length/(800*Least Radius of Gyration Column))) to evaluate the Allowable compression stress, Allowable Axial Compression Stress for Slenderness Ratio greater than 160 formula is defined as the maximum compressive stress that a mild steel column can withstand without buckling, considering the effective length and radius of the column, and is used to ensure the structural integrity of steel columns in building design. Allowable compression stress is denoted by F_a symbol.

How to evaluate Allowable Axial Compression Stress for Slenderness Ratio greater than 160 using this online evaluator? To use this online evaluator 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.

FAQs on Allowable Axial Compression Stress for Slenderness Ratio greater than 160

What is the formula to find Allowable Axial Compression Stress for Slenderness Ratio greater than 160?

The formula of Allowable Axial Compression Stress for Slenderness Ratio greater than 160 is expressed as Allowable compression stress = Value obtained from Secant Formula*(1.2-(Effective Column Length/(800*Least Radius of Gyration Column))). Here is an example- 0.000448 = 400250000*(1.2-(3/(800*0.04702))).

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

With Value obtained from Secant Formula (σ_c'), Effective Column Length (L_eff) & Least Radius of Gyration Column (r_least) we can find Allowable Axial Compression Stress for Slenderness Ratio greater than 160 using the formula - Allowable compression stress = Value obtained from Secant Formula*(1.2-(Effective Column Length/(800*Least Radius of Gyration Column))).

What are the other ways to Calculate Allowable compression stress?

Here are the different ways to Calculate Allowable compression stress-

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))))))

Can the Allowable Axial Compression Stress for Slenderness Ratio greater than 160 be negative?

Yes, the Allowable Axial Compression Stress for Slenderness Ratio greater than 160, measured in Pressure can be negative.

Which unit is used to measure Allowable Axial Compression Stress for Slenderness Ratio greater than 160?

Allowable Axial Compression Stress for Slenderness Ratio greater than 160 is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Allowable Axial Compression Stress for Slenderness Ratio greater than 160 can be measured.

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Allowable Axial Compression Stress for Slenderness Ratio greater than 160 Formula

​GoAllowable Axial Compression Stress for Slenderness Ratio 0 to 160 Formula

Allowable Axial Compression Stress for Slenderness Ratio greater than 160 Example

Allowable Axial Compression Stress for Slenderness Ratio greater than 160 Solution

Allowable Axial Compression Stress for Slenderness Ratio greater than 160 Formula Elements

Other Formulas to find Allowable compression stress

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

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

FAQs on Allowable Axial Compression Stress for Slenderness Ratio greater than 160

Variable Name

GoAllowable Axial Compression Stress for Slenderness Ratio 0 to 160 Formula