FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

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

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

Fx Copy

LaTeX Copy

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 (\frac{L eff}{r least}))}

A_sectional - Column Cross Sectional Area?P - Crippling Load?σ_c - Compressive Stress?n - Straight Line Formula Constant?L_eff - Effective Column Length?r_least - Least Radius of Gyration?

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

With values

With units

Only example

Here is how the Cross-Sectional Area of Column by Straight-Line Formula for Columns and Struts equation looks like with Values.

Here is how the Cross-Sectional Area of Column by Straight-Line Formula for Columns and Struts equation looks like with Units.

Here is how the Cross-Sectional Area of Column by Straight-Line Formula for Columns and Struts equation looks like.

1.3998 = \frac{3.6}{0.0028 - (4 \cdot (\frac{3000}{47.02}))}

1.3998m² = \frac{3.6kN}{0.0028MPa - (4 \cdot (\frac{3000mm}{47.02mm}))}

1.3998 = \frac{3.6}{0.0028 - (4 \cdot (\frac{3000}{47.02}))}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Strength of Materials » fx Cross-Sectional Area of Column by Straight-Line Formula for Columns and Struts

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

Follow our step by step solution on how to calculate Cross-Sectional Area of Column by Straight-Line Formula for Columns and Struts?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A sectional = \frac{3.6kN}{0.0028MPa - (4 \cdot (\frac{3000mm}{47.02mm}))}

Next Step Convert Units

∴

A sectional = \frac{3600N}{2827Pa - (4 \cdot (\frac{3m}{0.047m}))}

Next Step Prepare to Evaluate

∴

A sectional = \frac{3600}{2827 - (4 \cdot (\frac{3}{0.047}))}

Next Step Evaluate

∴

A sectional = 1.39980354853077m²

LAST Step Rounding Answer

∴

A sectional = 1.3998m²

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

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

Least Radius of Gyration is the smallest value of the radius of gyration is used for structural calculations.

Symbol: r_least

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Least Radius of Gyration

Other Formulas to find Column Cross Sectional Area

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

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

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 for Columns and Struts?

Cross-Sectional Area of Column by Straight-Line Formula for Columns and Struts evaluator uses Column Cross Sectional Area = Crippling Load/(Compressive Stress-(Straight Line Formula Constant*(Effective Column Length/Least Radius of Gyration))) to evaluate the Column Cross Sectional Area, Cross-Sectional Area of Column by Straight-Line Formula for Columns and Struts formula is defined as a measure of the area of a column's cross-section, which is critical in determining the column's strength and ability to withstand external loads, ensuring the structural integrity of buildings and other infrastructure. Column Cross Sectional Area is denoted by A_sectional symbol.

How to evaluate Cross-Sectional Area of Column by Straight-Line Formula for Columns and Struts using this online evaluator? To use this online evaluator for Cross-Sectional Area of Column by Straight-Line Formula for Columns and Struts, enter Crippling Load (P), Compressive Stress (σ_c), Straight Line Formula Constant (n), Effective Column Length (L_eff) & Least Radius of Gyration (r_least) and hit the calculate button.

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

What is the formula to find Cross-Sectional Area of Column by Straight-Line Formula for Columns and Struts?

The formula of Cross-Sectional Area of Column by Straight-Line Formula for Columns and Struts is expressed as Column Cross Sectional Area = Crippling Load/(Compressive Stress-(Straight Line Formula Constant*(Effective Column Length/Least Radius of Gyration))). Here is an example- 0.001125 = 3600/(2827-(4*(3/0.04702))).

How to calculate Cross-Sectional Area of Column by Straight-Line Formula for Columns and Struts?

With Crippling Load (P), Compressive Stress (σ_c), Straight Line Formula Constant (n), Effective Column Length (L_eff) & Least Radius of Gyration (r_least) we can find Cross-Sectional Area of Column by Straight-Line Formula for Columns and Struts using the formula - Column Cross Sectional Area = Crippling Load/(Compressive Stress-(Straight Line Formula Constant*(Effective Column Length/Least Radius of Gyration))).

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*(Slenderness Ratio)))

Can the Cross-Sectional Area of Column by Straight-Line Formula for Columns and Struts be negative?

No, the Cross-Sectional Area of Column by Straight-Line Formula for Columns and Struts, measured in Area cannot be negative.

Which unit is used to measure Cross-Sectional Area of Column by Straight-Line Formula for Columns and Struts?

Cross-Sectional Area of Column by Straight-Line Formula for Columns and Struts 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 for Columns and Struts can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

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

​GoCross Sectional Area of Column by Straight Line Formula given Slenderness Ratio Formula

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

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

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

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

Variable Name

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