Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Column Cross Sectional Area = Crippling Load/(Compressive Stress-(Straight Line Formula Constant*(Slenderness Ratio)))
Asectional = P/(σc-(n*(λ)))
This formula uses 5 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.
Slenderness Ratio - Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section.
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
Slenderness Ratio: 0.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Asectional = P/(σc-(n*(λ))) --> 3600/(2827-(4*(0.5)))
Evaluating ... ...
Asectional = 1.27433628318584
STEP 3: Convert Result to Output's Unit
1.27433628318584 Square Meter --> No Conversion Required
FINAL ANSWER
1.27433628318584 1.274336 Square Meter <-- Column Cross Sectional Area
(Calculation completed in 00.020 seconds)

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Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio Formula

​LaTeX ​Go
Column Cross Sectional Area = Crippling Load/(Compressive Stress-(Straight Line Formula Constant*(Slenderness Ratio)))
Asectional = P/(σc-(n*(λ)))

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 given Slenderness Ratio?

Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio calculator uses Column Cross Sectional Area = Crippling Load/(Compressive Stress-(Straight Line Formula Constant*(Slenderness Ratio))) to calculate the Column Cross Sectional Area, Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio formula is defined as a measure of the area of a column's cross-section, which is crucial in structural engineering to determine the column's strength and stability, taking into account the slenderness ratio and other critical factors. Column Cross Sectional Area is denoted by Asectional symbol.

How to calculate Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio using this online calculator? To use this online calculator for Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio, enter Crippling Load (P), Compressive Stress c), Straight Line Formula Constant (n) & Slenderness Ratio (λ) and hit the calculate button. Here is how the Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio calculation can be explained with given input values -> 0.001125 = 3600/(2827-(4*(0.5))).

FAQ

What is Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio?
Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio formula is defined as a measure of the area of a column's cross-section, which is crucial in structural engineering to determine the column's strength and stability, taking into account the slenderness ratio and other critical factors and is represented as Asectional = P/(σc-(n*(λ))) or Column Cross Sectional Area = Crippling Load/(Compressive Stress-(Straight Line Formula Constant*(Slenderness Ratio))). 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 & Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section.
How to calculate Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio?
Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio formula is defined as a measure of the area of a column's cross-section, which is crucial in structural engineering to determine the column's strength and stability, taking into account the slenderness ratio and other critical factors is calculated using Column Cross Sectional Area = Crippling Load/(Compressive Stress-(Straight Line Formula Constant*(Slenderness Ratio))). To calculate Cross Sectional Area of Column by Straight Line Formula given Slenderness Ratio, you need Crippling Load (P), Compressive Stress c), Straight Line Formula Constant (n) & Slenderness Ratio (λ). With our tool, you need to enter the respective value for Crippling Load, Compressive Stress, Straight Line Formula Constant & Slenderness Ratio 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 & Slenderness Ratio. 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*(Effective Column Length/Least Radius of Gyration)))
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