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

✖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%
✖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%
✖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%
✖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%

✖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.ⓘ Cross-Sectional Area of Column by Straight-Line Formula for Columns and Struts [A_sectional]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
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.
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

Crippling Load: 3.6 Kilonewton --> 3600 Newton (Check conversion here)
Compressive Stress: 0.002827 Megapascal --> 2827 Pascal (Check conversion here)
Straight Line Formula Constant: 4 --> No Conversion Required
Effective Column Length: 3000 Millimeter --> 3 Meter (Check conversion here)
Least Radius of Gyration: 47.02 Millimeter --> 0.04702 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_sectional = P/(σ_c-(n*(L_eff/r_least))) --> 3600/(2827-(4*(3/0.04702)))

Evaluating ... ...

A_sectional = 1.39980354853077

STEP 3: Convert Result to Output's Unit

1.39980354853077 Square Meter --> No Conversion Required

FINAL ANSWER

1.39980354853077 ≈ 1.399804 Square Meter <-- Column Cross Sectional Area

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Column And Struts » Mechanical » Straight Line Formula » Cross-Sectional Area of Column 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

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

LaTeX Go

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

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 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 calculator uses Column Cross Sectional Area = Crippling Load/(Compressive Stress-(Straight Line Formula Constant*(Effective Column Length/Least Radius of Gyration))) to calculate 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 calculate Cross-Sectional Area of Column by Straight-Line Formula for Columns and Struts using this online calculator? To use this online calculator 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. Here is how the Cross-Sectional Area of Column by Straight-Line Formula for Columns and Struts calculation can be explained with given input values -> 0.001125 = 3600/(2827-(4*(3/0.04702))).

FAQ

What is 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 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 and is represented as A_sectional = P/(σ_c-(n*(L_eff/r_least))) or Column Cross Sectional Area = Crippling Load/(Compressive Stress-(Straight Line Formula Constant*(Effective Column Length/Least Radius of Gyration))). Crippling Load is the maximum load a structural member, such as a column or slender element, can carry before it experiences buckling or instability, 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, 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 & Least Radius of Gyration is the smallest value of the radius of gyration is used for structural calculations.

How to calculate 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 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 is calculated using Column Cross Sectional Area = Crippling Load/(Compressive Stress-(Straight Line Formula Constant*(Effective Column Length/Least Radius of Gyration))). To calculate Cross-Sectional Area of Column by Straight-Line Formula for Columns and Struts, you need Crippling Load (P), Compressive Stress (σ_c), Straight Line Formula Constant (n), Effective Column Length (L_eff) & Least Radius of Gyration (r_least). With our tool, you need to enter the respective value for Crippling Load, Compressive Stress, Straight Line Formula Constant, Effective Column Length & 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.

How many ways are there to calculate Column Cross Sectional Area?

In this formula, Column Cross Sectional Area uses Crippling Load, Compressive Stress, Straight Line Formula Constant, Effective Column Length & Least Radius of Gyration. We can use 1 other way(s) to calculate the same, which is/are as follows -

Column Cross Sectional Area = Crippling Load/(Compressive Stress-(Straight Line Formula Constant*(Slenderness Ratio)))

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