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Least Radius of Gyration by Straight Line Formula for Columns and Struts Formula

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

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

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

Least Radius of Gyration by Straight Line Formula for Columns and Struts Example

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Here is how the Least Radius of Gyration by Straight Line Formula for Columns and Struts equation looks like with Values.

Here is how the Least Radius of Gyration by Straight Line Formula for Columns and Struts equation looks like with Units.

Here is how the Least Radius of Gyration by Straight Line Formula for Columns and Struts equation looks like.

46.9536 = \frac{4 \cdot (3000)}{0.0028 - (\frac{3.6}{1.4})}

46.9536mm = \frac{4 \cdot (3000mm)}{0.0028MPa - (\frac{3.6kN}{1.4m²})}

46.9536 = \frac{4 \cdot (3000)}{0.0028 - (\frac{3.6}{1.4})}

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Least Radius of Gyration by Straight Line Formula for Columns and Struts Solution

Follow our step by step solution on how to calculate Least Radius of Gyration by Straight Line Formula for Columns and Struts?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r least = \frac{4 \cdot (3000mm)}{0.0028MPa - (\frac{3.6kN}{1.4m²})}

Next Step Convert Units

∴

r least = \frac{4 \cdot (3m)}{2827Pa - (\frac{3600N}{1.4m²})}

Next Step Prepare to Evaluate

∴

r least = \frac{4 \cdot (3)}{2827 - (\frac{3600}{1.4})}

Next Step Evaluate

∴

r least = 0.0469536053661264m

Next Step Convert to Output's Unit

∴

r least = 46.9536053661264mm

LAST Step Rounding Answer

∴

r least = 46.9536mm

Least Radius of Gyration by Straight Line Formula for Columns and Struts Formula Elements

Variables

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

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

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

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

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

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 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}))}

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})}

How to Evaluate Least Radius of Gyration by Straight Line Formula for Columns and Struts?

Least Radius of Gyration by Straight Line Formula for Columns and Struts evaluator uses Least Radius of Gyration = (Straight Line Formula Constant*(Effective Column Length))/(Compressive Stress-(Crippling Load/Column Cross Sectional Area)) to evaluate the Least Radius of Gyration, Least Radius of Gyration by Straight Line Formula for Columns and Struts formula is defined as a measure of the minimum radius of gyration of a column or strut, which is a critical parameter in determining the stability and strength of the structural element under compressive loads. Least Radius of Gyration is denoted by r_least symbol.

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

FAQs on Least Radius of Gyration by Straight Line Formula for Columns and Struts

What is the formula to find Least Radius of Gyration by Straight Line Formula for Columns and Struts?

The formula of Least Radius of Gyration by Straight Line Formula for Columns and Struts is expressed as Least Radius of Gyration = (Straight Line Formula Constant*(Effective Column Length))/(Compressive Stress-(Crippling Load/Column Cross Sectional Area)). Here is an example- 3.753016 = (4*(3))/(2827-(3600/1.4)).

How to calculate Least Radius of Gyration by Straight Line Formula for Columns and Struts?

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

Can the Least Radius of Gyration by Straight Line Formula for Columns and Struts be negative?

No, the Least Radius of Gyration by Straight Line Formula for Columns and Struts, measured in Length cannot be negative.

Which unit is used to measure Least Radius of Gyration by Straight Line Formula for Columns and Struts?

Least Radius of Gyration by Straight Line Formula for Columns and Struts is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Least Radius of Gyration by Straight Line Formula for Columns and Struts can be measured.

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Least Radius of Gyration by Straight Line Formula for Columns and Struts Formula

Least Radius of Gyration by Straight Line Formula for Columns and Struts Example

Least Radius of Gyration by Straight Line Formula for Columns and Struts Solution

Least Radius of Gyration by Straight Line Formula for Columns and Struts Formula Elements

Other formulas in Straight Line Formula category

How to Evaluate Least Radius of Gyration by Straight Line Formula for Columns and Struts?

FAQs on Least Radius of Gyration by Straight Line Formula for Columns and Struts

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