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Slenderness Ratio According to Johnson's Parabolic Formula Formula

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The Slenderness ratio is the ratio of the length of a column and the least radius of gyration of its cross section. Check FAQs

λ = \frac{σ c - (\frac{P}{A sectional})}{r}

λ - Slenderness Ratio?σ_c - Compressive Yield Stress?P - Critical Load On Column?A_sectional - Column Cross Sectional Area?r - Johnson's formula constant?

Slenderness Ratio According to Johnson's Parabolic Formula Example

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Here is how the Slenderness Ratio According to Johnson's Parabolic Formula equation looks like with Values.

Here is how the Slenderness Ratio According to Johnson's Parabolic Formula equation looks like with Units.

Here is how the Slenderness Ratio According to Johnson's Parabolic Formula equation looks like.

69.4048 = \frac{420 - (\frac{5}{1.4})}{6}

69.4048 = \frac{420N/m² - (\frac{5N}{1.4m²})}{6}

69.4048 = \frac{420 - (\frac{5}{1.4})}{6}

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Slenderness Ratio According to Johnson's Parabolic Formula Solution

Follow our step by step solution on how to calculate Slenderness Ratio According to Johnson's Parabolic Formula?

FIRST Step Consider the formula

λ = \frac{σ c - (\frac{P}{A sectional})}{r}

Next Step Substitute values of Variables

∴

λ = \frac{420N/m² - (\frac{5N}{1.4m²})}{6}

Next Step Convert Units

∴

λ = \frac{420Pa - (\frac{5N}{1.4m²})}{6}

Next Step Prepare to Evaluate

∴

λ = \frac{420 - (\frac{5}{1.4})}{6}

Next Step Evaluate

∴

λ = 69.4047619047619

LAST Step Rounding Answer

∴

λ = 69.4048

Slenderness Ratio According to Johnson's Parabolic Formula Formula Elements

Variables

Slenderness Ratio

The Slenderness ratio is the ratio of the length of a column and the least radius of gyration of its cross section.

Symbol: λ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Slenderness Ratio

Compressive Yield Stress

Compressive yield stress is stress which causes a material to exhibit a specified deformation. Usually determined from the stress-strain diagram obtained in a compression test.

Symbol: σ_c

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Compressive Yield Stress

Critical Load On Column

Critical Load On Column is the greatest load that will not cause lateral deflection (buckling).

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Critical Load On Column

Column Cross Sectional Area

Column Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.

Symbol: A_sectional

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Column Cross Sectional Area

Johnson's formula constant

Johnson's formula constant is defined as the constant that depends on the material of column.

Symbol: r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Johnson's formula constant

Other formulas in Johnson's Parabolic Formula category

Go Critical Load on Column According to Johnson's Parabolic Formula

P = (σ c - (r \cdot (\frac{L eff}{r least}))) \cdot A sectional

Go Compressive Yield Stress According to Johnson's Parabolic Formula

σ c = \frac{P}{A sectional} + r \cdot \frac{L eff}{r least}

Go Cross-Sectional Area of Column According to Johnson's Parabolic Formula

A sectional = \frac{P}{σ c - (r \cdot (\frac{L eff}{r least}))}

Go Constant Depending on Material of Column According to Johnson's Parabolic Formula

r = \frac{σ c - (\frac{P}{A sectional})}{\frac{L eff}{r least}}

How to Evaluate Slenderness Ratio According to Johnson's Parabolic Formula?

Slenderness Ratio According to Johnson's Parabolic Formula evaluator uses Slenderness Ratio = (Compressive Yield Stress-(Critical Load On Column/Column Cross Sectional Area))/(Johnson's formula constant) to evaluate the Slenderness Ratio, Slenderness Ratio According to Johnson's Parabolic Formula formula is defined as a measure of the slenderness of a column, which is a critical parameter in determining the column's stability and susceptibility to buckling under compressive loads, providing a way to evaluate the column's ability to resist deformation. Slenderness Ratio is denoted by λ symbol.

How to evaluate Slenderness Ratio According to Johnson's Parabolic Formula using this online evaluator? To use this online evaluator for Slenderness Ratio According to Johnson's Parabolic Formula, enter Compressive Yield Stress (σ_c), Critical Load On Column (P), Column Cross Sectional Area (A_sectional) & Johnson's formula constant (r) and hit the calculate button.

FAQs on Slenderness Ratio According to Johnson's Parabolic Formula

What is the formula to find Slenderness Ratio According to Johnson's Parabolic Formula?

The formula of Slenderness Ratio According to Johnson's Parabolic Formula is expressed as Slenderness Ratio = (Compressive Yield Stress-(Critical Load On Column/Column Cross Sectional Area))/(Johnson's formula constant). Here is an example- 69.40476 = (420-(5/1.4))/(6).

How to calculate Slenderness Ratio According to Johnson's Parabolic Formula?

With Compressive Yield Stress (σ_c), Critical Load On Column (P), Column Cross Sectional Area (A_sectional) & Johnson's formula constant (r) we can find Slenderness Ratio According to Johnson's Parabolic Formula using the formula - Slenderness Ratio = (Compressive Yield Stress-(Critical Load On Column/Column Cross Sectional Area))/(Johnson's formula constant).

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Slenderness Ratio According to Johnson's Parabolic Formula Formula

Slenderness Ratio According to Johnson's Parabolic Formula Example

Slenderness Ratio According to Johnson's Parabolic Formula Solution

Slenderness Ratio According to Johnson's Parabolic Formula Formula Elements

Other formulas in Johnson's Parabolic Formula category

How to Evaluate Slenderness Ratio According to Johnson's Parabolic Formula?

FAQs on Slenderness Ratio According to Johnson's Parabolic Formula

Variable Name