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

✖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%
✖Straight Line Formula Constant is defined as the constant that depends on the material of column.ⓘ Straight Line Formula Constant [n]			+10% -10%
✖Least Radius of Gyration is the smallest value of the radius of gyration is used for structural calculations.ⓘ Least Radius of Gyration [r_least]			+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 Length of Column by Straight Line Formula for Columns and Struts [L_eff]

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

STEP 0: Pre-Calculation Summary

Formula Used

Effective Column Length = (Compressive Stress-(Crippling Load/Column Cross Sectional Area))/(Straight Line Formula Constant*(1/Least Radius of Gyration))
L_eff = (σ_c-(P/A_sectional))/(n*(1/r_least))
This formula uses 6 Variables

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

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
Straight Line Formula Constant: 4 --> No Conversion Required
Least Radius of Gyration: 47.02 Millimeter --> 0.04702 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_eff = (σ_c-(P/A_sectional))/(n*(1/r_least)) --> (2827-(3600/1.4))/(4*(1/0.04702))

Evaluating ... ...

L_eff = 3.00424214285714

STEP 3: Convert Result to Output's Unit

3.00424214285714 Meter -->3004.24214285714 Millimeter (Check conversion here)

FINAL ANSWER

3004.24214285714 ≈ 3004.242 Millimeter <-- Effective Column Length

(Calculation completed in 00.020 seconds)

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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

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

LaTeX Go

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

Effective Length of Column by Straight Line Formula for Columns and Struts calculator uses Effective Column Length = (Compressive Stress-(Crippling Load/Column Cross Sectional Area))/(Straight Line Formula Constant*(1/Least Radius of Gyration)) to calculate the Effective Column Length, Effective Length of Column by Straight Line Formula for Columns and Struts formula is defined as a method to determine the effective length of a column or strut, which is essential in calculating the load-carrying capacity of a structural member, taking into account the column's cross-sectional area and the radius of gyration. Effective Column Length is denoted by L_eff symbol.

How to calculate Effective Length of Column by Straight Line Formula for Columns and Struts using this online calculator? To use this online calculator for Effective Length of Column by Straight Line Formula for Columns and Struts, enter Compressive Stress (σ_c), Crippling Load (P), Column Cross Sectional Area (A_sectional), Straight Line Formula Constant (n) & Least Radius of Gyration (r_least) and hit the calculate button. Here is how the Effective Length of Column by Straight Line Formula for Columns and Struts calculation can be explained with given input values -> 3.8E+10 = (2827-(3600/1.4))/(4*(1/0.04702)).

FAQ

What is Effective Length of Column by Straight Line Formula for Columns and Struts?

Effective Length of Column by Straight Line Formula for Columns and Struts formula is defined as a method to determine the effective length of a column or strut, which is essential in calculating the load-carrying capacity of a structural member, taking into account the column's cross-sectional area and the radius of gyration and is represented as L_eff = (σ_c-(P/A_sectional))/(n*(1/r_least)) or Effective Column Length = (Compressive Stress-(Crippling Load/Column Cross Sectional Area))/(Straight Line Formula Constant*(1/Least Radius of Gyration)). 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, Straight Line Formula Constant is defined as the constant that depends on the material of column & Least Radius of Gyration is the smallest value of the radius of gyration is used for structural calculations.

How to calculate Effective Length of Column by Straight Line Formula for Columns and Struts?

Effective Length of Column by Straight Line Formula for Columns and Struts formula is defined as a method to determine the effective length of a column or strut, which is essential in calculating the load-carrying capacity of a structural member, taking into account the column's cross-sectional area and the radius of gyration is calculated using Effective Column Length = (Compressive Stress-(Crippling Load/Column Cross Sectional Area))/(Straight Line Formula Constant*(1/Least Radius of Gyration)). To calculate Effective Length of Column by Straight Line Formula for Columns and Struts, you need Compressive Stress (σ_c), Crippling Load (P), Column Cross Sectional Area (A_sectional), Straight Line Formula Constant (n) & Least Radius of Gyration (r_least). With our tool, you need to enter the respective value for Compressive Stress, Crippling Load, Column Cross Sectional Area, Straight Line Formula Constant & Least Radius of Gyration 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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