Compressive Yield Stress for Column by Straight-Line Formula given Slenderness Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Compressive Stress = (Crippling Load/Column Cross Sectional Area)+(Straight Line Formula Constant*(Slenderness Ratio))
σc = (P/Asectional)+(n*(λ))
This formula uses 5 Variables
Variables Used
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.
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)
Column Cross Sectional Area: 1.4 Square Meter --> 1.4 Square Meter No Conversion Required
Straight Line Formula Constant: 4 --> No Conversion Required
Slenderness Ratio: 0.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σc = (P/Asectional)+(n*(λ)) --> (3600/1.4)+(4*(0.5))
Evaluating ... ...
σc = 2573.42857142857
STEP 3: Convert Result to Output's Unit
2573.42857142857 Pascal -->0.00257342857142857 Megapascal (Check conversion ​here)
FINAL ANSWER
0.00257342857142857 0.002573 Megapascal <-- Compressive Stress
(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

Compressive Yield Stress for Column by Straight-Line Formula given Slenderness Ratio Formula

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

What is Slenderness Ratio in Column?

The Slenderness Ratio in 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 Compressive Yield Stress for Column by Straight-Line Formula given Slenderness Ratio?

Compressive Yield Stress for Column by Straight-Line Formula given Slenderness Ratio calculator uses Compressive Stress = (Crippling Load/Column Cross Sectional Area)+(Straight Line Formula Constant*(Slenderness Ratio)) to calculate the Compressive Stress, Compressive Yield Stress for Column by Straight-Line Formula given Slenderness Ratio formula is defined as a measure of the maximum stress a column can withstand without deforming plastically, taking into account the slenderness ratio of the column, which is a critical factor in determining its structural integrity. Compressive Stress is denoted by σc symbol.

How to calculate Compressive Yield Stress for Column by Straight-Line Formula given Slenderness Ratio using this online calculator? To use this online calculator for Compressive Yield Stress for Column by Straight-Line Formula given Slenderness Ratio, enter Crippling Load (P), Column Cross Sectional Area (Asectional), Straight Line Formula Constant (n) & Slenderness Ratio (λ) and hit the calculate button. Here is how the Compressive Yield Stress for Column by Straight-Line Formula given Slenderness Ratio calculation can be explained with given input values -> 2.6E-9 = (3600/1.4)+(4*(0.5)).

FAQ

What is Compressive Yield Stress for Column by Straight-Line Formula given Slenderness Ratio?
Compressive Yield Stress for Column by Straight-Line Formula given Slenderness Ratio formula is defined as a measure of the maximum stress a column can withstand without deforming plastically, taking into account the slenderness ratio of the column, which is a critical factor in determining its structural integrity and is represented as σc = (P/Asectional)+(n*(λ)) or Compressive Stress = (Crippling Load/Column Cross Sectional Area)+(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, 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 & Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section.
How to calculate Compressive Yield Stress for Column by Straight-Line Formula given Slenderness Ratio?
Compressive Yield Stress for Column by Straight-Line Formula given Slenderness Ratio formula is defined as a measure of the maximum stress a column can withstand without deforming plastically, taking into account the slenderness ratio of the column, which is a critical factor in determining its structural integrity is calculated using Compressive Stress = (Crippling Load/Column Cross Sectional Area)+(Straight Line Formula Constant*(Slenderness Ratio)). To calculate Compressive Yield Stress for Column by Straight-Line Formula given Slenderness Ratio, you need Crippling Load (P), Column Cross Sectional Area (Asectional), Straight Line Formula Constant (n) & Slenderness Ratio (λ). With our tool, you need to enter the respective value for Crippling Load, Column Cross Sectional Area, 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 Compressive Stress?
In this formula, Compressive Stress uses Crippling Load, Column Cross Sectional Area, Straight Line Formula Constant & Slenderness Ratio. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Compressive Stress = (Crippling Load/Column Cross Sectional Area)+(Straight Line Formula Constant*(Effective Column Length/Least Radius of Gyration))
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