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Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio Formula

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

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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. Check FAQs

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

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

Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio Example

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Here is how the Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio equation looks like with Values.

Here is how the Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio equation looks like with Units.

Here is how the Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio equation looks like.

0.012 = \frac{5}{420 - (6 \cdot (0.5))}

0.012m² = \frac{5N}{420N/m² - (6 \cdot (0.5))}

0.012 = \frac{5}{420 - (6 \cdot (0.5))}

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Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio Solution

Follow our step by step solution on how to calculate Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A sectional = \frac{5N}{420N/m² - (6 \cdot (0.5))}

Next Step Convert Units

∴

A sectional = \frac{5N}{420Pa - (6 \cdot (0.5))}

Next Step Prepare to Evaluate

∴

A sectional = \frac{5}{420 - (6 \cdot (0.5))}

Next Step Evaluate

∴

A sectional = 0.0119904076738609m²

LAST Step Rounding Answer

∴

A sectional = 0.012m²

Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio Formula Elements

Variables

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

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

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

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

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

Other Formulas to find Column Cross Sectional Area

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}))}

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 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}}

Go Effective Length of Column According to Johnson's Parabolic Formula

L eff = \frac{σ c - (\frac{P}{A sectional})}{r \cdot (\frac{1}{r least})}

How to Evaluate Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio?

Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio evaluator uses Column Cross Sectional Area = Critical Load On Column/(Compressive Yield Stress-(Johnson's formula constant*(Slenderness Ratio))) to evaluate the Column Cross Sectional Area, Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio formula is defined as a method to determine the sectional area of a column based on the slenderness ratio, providing a reliable estimate of the column's load-carrying capacity in structural engineering applications. Column Cross Sectional Area is denoted by A_sectional symbol.

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

FAQs on Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio

What is the formula to find Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio?

The formula of Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio is expressed as Column Cross Sectional Area = Critical Load On Column/(Compressive Yield Stress-(Johnson's formula constant*(Slenderness Ratio))). Here is an example- 0.01199 = 5/(420-(6*(0.5))).

How to calculate Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio?

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

What are the other ways to Calculate Column Cross Sectional Area?

Here are the different ways to Calculate Column Cross Sectional Area-

Column Cross Sectional Area=Critical Load On Column/(Compressive Yield Stress-(Johnson's formula constant*(Effective Column Length/Least Radius of Gyration Column)))

Can the Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio be negative?

No, the Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio, measured in Area cannot be negative.

Which unit is used to measure Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio?

Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio can be measured.

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Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio Formula

​GoCross-Sectional Area of Column According to Johnson's Parabolic Formula Formula

Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio Example

Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio Solution

Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio Formula Elements

Other Formulas to find Column Cross Sectional Area

Other formulas in Johnson's Parabolic Formula category

How to Evaluate Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio?

FAQs on Cross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio

Variable Name

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