Compressive Yield Stress by Straight-Line Formula for Columns and Struts Solution

STEP 0: Pre-Calculation Summary
Formula Used
Compressive Stress = (Crippling Load/Column Cross Sectional Area)+(Straight Line Formula Constant*(Effective Column Length/Least Radius of Gyration))
σc = (P/Asectional)+(n*(Leff/rleast))
This formula uses 6 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.
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)
Column Cross Sectional Area: 1.4 Square Meter --> 1.4 Square Meter No Conversion Required
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
σc = (P/Asectional)+(n*(Leff/rleast)) --> (3600/1.4)+(4*(3/0.04702))
Evaluating ... ...
σc = 2826.63912013125
STEP 3: Convert Result to Output's Unit
2826.63912013125 Pascal -->0.00282663912013125 Megapascal (Check conversion ​here)
FINAL ANSWER
0.00282663912013125 0.002827 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 by Straight-Line Formula for Columns and Struts Formula

​LaTeX ​Go
Compressive Stress = (Crippling Load/Column Cross Sectional Area)+(Straight Line Formula Constant*(Effective Column Length/Least Radius of Gyration))
σc = (P/Asectional)+(n*(Leff/rleast))

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 Compressive Yield Stress by Straight-Line Formula for Columns and Struts?

Compressive Yield Stress by Straight-Line Formula for Columns and Struts calculator uses Compressive Stress = (Crippling Load/Column Cross Sectional Area)+(Straight Line Formula Constant*(Effective Column Length/Least Radius of Gyration)) to calculate the Compressive Stress, Compressive Yield Stress by Straight-Line Formula for Columns and Struts formula is defined as a measure of the maximum stress a column or strut can withstand without deforming plastically, providing a critical value for structural design and analysis in construction and engineering applications. Compressive Stress is denoted by σc symbol.

How to calculate Compressive Yield Stress by Straight-Line Formula for Columns and Struts using this online calculator? To use this online calculator for Compressive Yield Stress by Straight-Line Formula for Columns and Struts, enter Crippling Load (P), Column Cross Sectional Area (Asectional), Straight Line Formula Constant (n), Effective Column Length (Leff) & Least Radius of Gyration (rleast) and hit the calculate button. Here is how the Compressive Yield Stress by Straight-Line Formula for Columns and Struts calculation can be explained with given input values -> 2.8E-9 = (3600/1.4)+(4*(3/0.04702)).

FAQ

What is Compressive Yield Stress by Straight-Line Formula for Columns and Struts?
Compressive Yield Stress by Straight-Line Formula for Columns and Struts formula is defined as a measure of the maximum stress a column or strut can withstand without deforming plastically, providing a critical value for structural design and analysis in construction and engineering applications and is represented as σc = (P/Asectional)+(n*(Leff/rleast)) or Compressive Stress = (Crippling Load/Column Cross Sectional Area)+(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, 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, 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 Compressive Yield Stress by Straight-Line Formula for Columns and Struts?
Compressive Yield Stress by Straight-Line Formula for Columns and Struts formula is defined as a measure of the maximum stress a column or strut can withstand without deforming plastically, providing a critical value for structural design and analysis in construction and engineering applications is calculated using Compressive Stress = (Crippling Load/Column Cross Sectional Area)+(Straight Line Formula Constant*(Effective Column Length/Least Radius of Gyration)). To calculate Compressive Yield Stress by Straight-Line Formula for Columns and Struts, you need Crippling Load (P), Column Cross Sectional Area (Asectional), Straight Line Formula Constant (n), Effective Column Length (Leff) & Least Radius of Gyration (rleast). With our tool, you need to enter the respective value for Crippling Load, Column Cross Sectional Area, 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 Compressive Stress?
In this formula, Compressive Stress uses Crippling Load, Column Cross Sectional Area, 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 -
  • Compressive Stress = (Crippling Load/Column Cross Sectional Area)+(Straight Line Formula Constant*(Slenderness Ratio))
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