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

GoCross-Sectional Area According to Johnson's Parabolic Formula given Slenderness Ratio 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 (\frac{L eff}{r least}))}

A_sectional - Column Cross Sectional Area?P - Critical Load On Column?σ_c - Compressive Yield Stress?r - Johnson's formula constant?L_eff - Effective Column Length?r_least - Least Radius of Gyration Column?

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

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

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

Here is how the Cross-Sectional Area of Column According to Johnson's Parabolic Formula equation looks like.

0.1345 = \frac{5}{420 - (6 \cdot (\frac{3000}{47.02}))}

0.1345m² = \frac{5N}{420N/m² - (6 \cdot (\frac{3000mm}{47.02mm}))}

0.1345 = \frac{5}{420 - (6 \cdot (\frac{3000}{47.02}))}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A sectional = \frac{5N}{420N/m² - (6 \cdot (\frac{3000mm}{47.02mm}))}

Next Step Convert Units

∴

A sectional = \frac{5N}{420Pa - (6 \cdot (\frac{3m}{0.047m}))}

Next Step Prepare to Evaluate

∴

A sectional = \frac{5}{420 - (6 \cdot (\frac{3}{0.047}))}

Next Step Evaluate

∴

A sectional = 0.134465797300389m²

LAST Step Rounding Answer

∴

A sectional = 0.1345m²

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

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 should be greater than 0.

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 Column Cross Sectional Area

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

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

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 of Column According to Johnson's Parabolic Formula?

Cross-Sectional Area of Column According to Johnson's Parabolic Formula evaluator uses Column Cross Sectional Area = Critical Load On Column/(Compressive Yield Stress-(Johnson's formula constant*(Effective Column Length/Least Radius of Gyration Column))) to evaluate the Column Cross Sectional Area, Cross-Sectional Area of Column According to Johnson's Parabolic Formula formula is defined as a method to determine the sectional area of a column, taking into account the axial load, effective length, and least radius of the column, providing a reliable estimate of the column's load-carrying capacity. Column Cross Sectional Area is denoted by A_sectional symbol.

How to evaluate Cross-Sectional Area of Column According to Johnson's Parabolic Formula using this online evaluator? To use this online evaluator for Cross-Sectional Area of Column According to Johnson's Parabolic Formula, enter Critical Load On Column (P), Compressive Yield Stress (σ_c), Johnson's formula constant (r), Effective Column Length (L_eff) & Least Radius of Gyration Column (r_least) and hit the calculate button.

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

What is the formula to find Cross-Sectional Area of Column According to Johnson's Parabolic Formula?

The formula of Cross-Sectional Area of Column According to Johnson's Parabolic Formula is expressed as Column Cross Sectional Area = Critical Load On Column/(Compressive Yield Stress-(Johnson's formula constant*(Effective Column Length/Least Radius of Gyration Column))). Here is an example- 0.134466 = 5/(420-(6*(3/0.04702))).

How to calculate Cross-Sectional Area of Column According to Johnson's Parabolic Formula?

With Critical Load On Column (P), Compressive Yield Stress (σ_c), Johnson's formula constant (r), Effective Column Length (L_eff) & Least Radius of Gyration Column (r_least) we can find Cross-Sectional Area of Column According to Johnson's Parabolic Formula using the formula - Column Cross Sectional Area = Critical Load On Column/(Compressive Yield Stress-(Johnson's formula constant*(Effective Column Length/Least Radius of Gyration Column))).

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*(Slenderness Ratio)))

Can the Cross-Sectional Area of Column According to Johnson's Parabolic Formula be negative?

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

Which unit is used to measure Cross-Sectional Area of Column According to Johnson's Parabolic Formula?

Cross-Sectional Area of Column According to Johnson's Parabolic Formula 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 of Column According to Johnson's Parabolic Formula can be measured.

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

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

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

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

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

Other Formulas to find Column Cross Sectional Area

Other formulas in Johnson's Parabolic Formula category

How to Evaluate Cross-Sectional Area of Column According to Johnson's Parabolic Formula?

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

Variable Name

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