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

✖Straight Line Formula Constant is defined as the constant that depends on the material of column.ⓘ Straight Line Formula Constant [n]			+10% -10%
✖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.ⓘ Effective Column Length [L_eff]			+10% -10%
✖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.ⓘ Compressive Stress [σ_c]			+10% -10%
✖Crippling Load is the maximum load a structural member, such as a column or slender element, can carry before it experiences buckling or instability.ⓘ Crippling Load [P]			+10% -10%
✖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.ⓘ Column Cross Sectional Area [A_sectional]			+10% -10%

✖Least Radius of Gyration is the smallest value of the radius of gyration is used for structural calculations.ⓘ Least Radius of Gyration by Straight Line Formula for Columns and Struts [r_least]

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

STEP 0: Pre-Calculation Summary

Formula Used

Least Radius of Gyration = (Straight Line Formula Constant*(Effective Column Length))/(Compressive Stress-(Crippling Load/Column Cross Sectional Area))
r_least = (n*(L_eff))/(σ_c-(P/A_sectional))
This formula uses 6 Variables

Variables Used

Least Radius of Gyration - (Measured in Meter) - Least Radius of Gyration is the smallest value of the radius of gyration is used for structural calculations.
Straight Line Formula Constant - Straight Line Formula Constant is defined as the constant that depends on the material of column.
Effective Column Length - (Measured in Meter) - 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.
Compressive Stress - (Measured in Pascal) - 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.
Crippling Load - (Measured in Newton) - Crippling Load is the maximum load a structural member, such as a column or slender element, can carry before it experiences buckling or instability.
Column Cross Sectional Area - (Measured in Square Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Straight Line Formula Constant: 4 --> No Conversion Required
Effective Column Length: 3000 Millimeter --> 3 Meter (Check conversion here)
Compressive Stress: 0.002827 Megapascal --> 2827 Pascal (Check conversion here)
Crippling Load: 3.6 Kilonewton --> 3600 Newton (Check conversion here)
Column Cross Sectional Area: 1.4 Square Meter --> 1.4 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_least = (n*(L_eff))/(σ_c-(P/A_sectional)) --> (4*(3))/(2827-(3600/1.4))

Evaluating ... ...

r_least = 0.0469536053661264

STEP 3: Convert Result to Output's Unit

0.0469536053661264 Meter -->46.9536053661264 Millimeter (Check conversion here)

FINAL ANSWER

46.9536053661264 ≈ 46.95361 Millimeter <-- Least Radius of Gyration

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Column And Struts » Mechanical » Straight Line Formula » Least Radius of Gyration by Straight Line Formula for Columns and Struts

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< Straight Line Formula Calculators

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

LaTeX Go Straight Line Formula Constant = (Compressive Stress-(Crippling Load/Column Cross Sectional Area))/((Effective Column Length/Least Radius of Gyration))

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

LaTeX Go Column Cross Sectional Area = Crippling Load/(Compressive Stress-(Straight Line Formula Constant*(Effective Column Length/Least Radius of Gyration)))

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

LaTeX Go Compressive Stress = (Crippling Load/Column Cross Sectional Area)+(Straight Line Formula Constant*(Effective Column Length/Least Radius of Gyration))

Crippling Load on Column by Straight-Line Formula

LaTeX Go Crippling Load = (Compressive Stress-(Straight Line Formula Constant*(Effective Column Length/Least Radius of Gyration)))*Column Cross Sectional Area

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

LaTeX Go

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

What is Slenderness Ratio in Column?

The slenderness ratio of a reinforced concrete (RC) column is the ratio between the length of the column, its lateral dimensions, and end fixity. The slenderness ratio is calculated by dividing the column length by its radius of gyration. The slenderness ratio differentiates the short column from the long or slender column.

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

Least Radius of Gyration by Straight Line Formula for Columns and Struts calculator uses Least Radius of Gyration = (Straight Line Formula Constant*(Effective Column Length))/(Compressive Stress-(Crippling Load/Column Cross Sectional Area)) to calculate 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 calculate Least Radius of Gyration by Straight Line Formula for Columns and Struts using this online calculator? To use this online calculator 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. Here is how the Least Radius of Gyration by Straight Line Formula for Columns and Struts calculation can be explained with given input values -> 3.753016 = (4*(3))/(2827-(3600/1.4)).

FAQ

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

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 and is represented as r_least = (n*(L_eff))/(σ_c-(P/A_sectional)) or Least Radius of Gyration = (Straight Line Formula Constant*(Effective Column Length))/(Compressive Stress-(Crippling Load/Column Cross Sectional Area)). Straight Line Formula Constant is defined as the constant that depends on the material of column, 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, 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, Crippling Load is the maximum load a structural member, such as a column or slender element, can carry before it experiences buckling or instability & 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.

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

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 is calculated using Least Radius of Gyration = (Straight Line Formula Constant*(Effective Column Length))/(Compressive Stress-(Crippling Load/Column Cross Sectional Area)). To calculate Least Radius of Gyration by Straight Line Formula for Columns and Struts, you need Straight Line Formula Constant (n), Effective Column Length (L_eff), Compressive Stress (σ_c), Crippling Load (P) & Column Cross Sectional Area (A_sectional). With our tool, you need to enter the respective value for Straight Line Formula Constant, Effective Column Length, Compressive Stress, Crippling Load & Column Cross Sectional Area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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