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Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio Formula

GoCross-Sectional Area of Column by Straight-Line Formula for Columns and Struts 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 - (n \cdot (λ))}

A_sectional - Column Cross Sectional Area?P - Crippling Load?σ_c - Compressive Stress?n - Straight Line Formula Constant?λ - Slenderness Ratio?

Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio Example

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Here is how the Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio equation looks like with Values.

Here is how the Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio equation looks like with Units.

Here is how the Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio equation looks like.

1.2743 = \frac{3.6}{0.0028 - (4 \cdot (0.5))}

1.2743m² = \frac{3.6kN}{0.0028MPa - (4 \cdot (0.5))}

1.2743 = \frac{3.6}{0.0028 - (4 \cdot (0.5))}

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Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio Solution

Follow our step by step solution on how to calculate Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A sectional = \frac{3.6kN}{0.0028MPa - (4 \cdot (0.5))}

Next Step Convert Units

∴

A sectional = \frac{3600N}{2827Pa - (4 \cdot (0.5))}

Next Step Prepare to Evaluate

∴

A sectional = \frac{3600}{2827 - (4 \cdot (0.5))}

Next Step Evaluate

∴

A sectional = 1.27433628318584m²

LAST Step Rounding Answer

∴

A sectional = 1.2743m²

Cross Sectional Area of Column by Straight Line 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

Crippling Load

Crippling Load is the maximum load a structural member, such as a column or slender element, can carry before it experiences buckling or instability.

Symbol: P

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Crippling Load

Compressive Stress

Compressive Stress is the internal resistance a material generates per unit area when subjected to a compressive force, which acts to reduce the volume or shorten the material.

Symbol: σ_c

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Compressive Stress

Straight Line Formula Constant

Straight Line Formula Constant is defined as the constant that depends on the material of column.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Straight Line Formula Constant

Slenderness Ratio

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 should be greater than 0.

Formulas to find Slenderness Ratio

Other Formulas to find Column Cross Sectional Area

Go Cross-Sectional Area of Column by Straight-Line Formula for Columns and Struts

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

Other formulas in Straight Line Formula category

Go Crippling Load on Column by Straight-Line Formula

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

Go Compressive Yield Stress by Straight-Line Formula for Columns and Struts

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

Go Constant Depending on Material of Column by Straight-Line Formula for Columns and Struts

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

Go Effective Length of Column by Straight Line Formula for Columns and Struts

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

How to Evaluate Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio?

Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio evaluator uses Column Cross Sectional Area = Crippling Load/(Compressive Stress-(Straight Line Formula Constant*(Slenderness Ratio))) to evaluate the Column Cross Sectional Area, Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio formula is defined as a measure of the area of a column's cross-section, which is crucial in structural engineering to determine the column's strength and stability, taking into account the slenderness ratio and other critical factors. Column Cross Sectional Area is denoted by A_sectional symbol.

How to evaluate Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio using this online evaluator? To use this online evaluator for Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio, enter Crippling Load (P), Compressive Stress (σ_c), Straight Line Formula Constant (n) & Slenderness Ratio (λ) and hit the calculate button.

FAQs on Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio

What is the formula to find Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio?

The formula of Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio is expressed as Column Cross Sectional Area = Crippling Load/(Compressive Stress-(Straight Line Formula Constant*(Slenderness Ratio))). Here is an example- 0.001125 = 3600/(2827-(4*(0.5))).

How to calculate Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio?

With Crippling Load (P), Compressive Stress (σ_c), Straight Line Formula Constant (n) & Slenderness Ratio (λ) we can find Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio using the formula - Column Cross Sectional Area = Crippling Load/(Compressive Stress-(Straight Line 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=Crippling Load/(Compressive Stress-(Straight Line Formula Constant*(Effective Column Length/Least Radius of Gyration)))

Can the Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio be negative?

No, the Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio, measured in Area cannot be negative.

Which unit is used to measure Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio?

Cross Sectional Area of Column by Straight Line 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 of Column by Straight Line Formula given Slenderness Ratio can be measured.

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Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio Formula

​GoCross-Sectional Area of Column by Straight-Line Formula for Columns and Struts Formula

Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio Example

Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio Solution

Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio Formula Elements

Other Formulas to find Column Cross Sectional Area

Other formulas in Straight Line Formula category

How to Evaluate Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio?

FAQs on Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio

Variable Name

GoCross-Sectional Area of Column by Straight-Line Formula for Columns and Struts Formula