Slenderness Ratio by Straight Line Formula 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%

✖Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section.ⓘ Slenderness Ratio by Straight Line Formula [λ]

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Slenderness Ratio by Straight Line Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slenderness Ratio = (Compressive Stress-(Crippling Load/Column Cross Sectional Area))/(Straight Line Formula Constant)
λ = (σ_c-(P/A_sectional))/(n)
This formula uses 5 Variables

Variables Used

Slenderness Ratio - Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section.
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.

STEP 1: Convert Input(s) to Base Unit

Compressive Stress: 3.2 Megapascal --> 3200000 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ = (σ_c-(P/A_sectional))/(n) --> (3200000-(3600/1.4))/(4)

Evaluating ... ...

λ = 799357.142857143

STEP 3: Convert Result to Output's Unit

799357.142857143 --> No Conversion Required

FINAL ANSWER

799357.142857143 ≈ 799357.1 <-- Slenderness Ratio

(Calculation completed in 00.004 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

Slenderness Ratio by Straight Line Formula Formula

LaTeX Go

Slenderness Ratio = (Compressive Stress-(Crippling Load/Column Cross Sectional Area))/(Straight Line Formula Constant)
λ = (σ_c-(P/A_sectional))/(n)

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 Slenderness Ratio by Straight Line Formula?

Slenderness Ratio by Straight Line Formula calculator uses Slenderness Ratio = (Compressive Stress-(Crippling Load/Column Cross Sectional Area))/(Straight Line Formula Constant) to calculate the Slenderness Ratio, Slenderness Ratio by Straight Line Formula is a measure of the ratio of the effective length of a column to the radius of gyration, which is used to determine the stability of a column under compressive loads, providing a critical value that distinguishes between long and short columns. Slenderness Ratio is denoted by λ symbol.

How to calculate Slenderness Ratio by Straight Line Formula using this online calculator? To use this online calculator for Slenderness Ratio by Straight Line Formula, enter Compressive Stress (σ_c), Crippling Load (P), Column Cross Sectional Area (A_sectional) & Straight Line Formula Constant (n) and hit the calculate button. Here is how the Slenderness Ratio by Straight Line Formula calculation can be explained with given input values -> 799357.1 = (3200000-(3600/1.4))/(4).

FAQ

What is Slenderness Ratio by Straight Line Formula?

Slenderness Ratio by Straight Line Formula is a measure of the ratio of the effective length of a column to the radius of gyration, which is used to determine the stability of a column under compressive loads, providing a critical value that distinguishes between long and short columns and is represented as λ = (σ_c-(P/A_sectional))/(n) or Slenderness Ratio = (Compressive Stress-(Crippling Load/Column Cross Sectional Area))/(Straight Line Formula Constant). 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.

How to calculate Slenderness Ratio by Straight Line Formula?

Slenderness Ratio by Straight Line Formula is a measure of the ratio of the effective length of a column to the radius of gyration, which is used to determine the stability of a column under compressive loads, providing a critical value that distinguishes between long and short columns is calculated using Slenderness Ratio = (Compressive Stress-(Crippling Load/Column Cross Sectional Area))/(Straight Line Formula Constant). To calculate Slenderness Ratio by Straight Line Formula, you need Compressive Stress (σ_c), Crippling Load (P), Column Cross Sectional Area (A_sectional) & Straight Line Formula Constant (n). With our tool, you need to enter the respective value for Compressive Stress, Crippling Load, Column Cross Sectional Area & Straight Line Formula Constant 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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