Allowable Axial Compression Stress for Slenderness Ratio greater than 160 Solution

STEP 0: Pre-Calculation Summary
Formula Used
Allowable compression stress = Value obtained from Secant Formula*(1.2-(Effective Column Length/(800*Least Radius of Gyration Column)))
Fa = σc'*(1.2-(Leff/(800*rleast)))
This formula uses 4 Variables
Variables Used
Allowable compression stress - (Measured in Pascal) - Allowable compression stress is the maximum stress (tensile, compressive or bending) that is allowed to be applied on a structural material.
Value obtained from Secant Formula - (Measured in Pascal) - Value obtained from secant formula is the stress value on the column of mild steel.
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 Column - (Measured in Meter) - Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations.
STEP 1: Convert Input(s) to Base Unit
Value obtained from Secant Formula: 400.25 Megapascal --> 400250000 Pascal (Check conversion ​here)
Effective Column Length: 3000 Millimeter --> 3 Meter (Check conversion ​here)
Least Radius of Gyration Column: 47.02 Millimeter --> 0.04702 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fa = σc'*(1.2-(Leff/(800*rleast))) --> 400250000*(1.2-(3/(800*0.04702)))
Evaluating ... ...
Fa = 448378743.088048
STEP 3: Convert Result to Output's Unit
448378743.088048 Pascal -->448.378743088048 Megapascal (Check conversion ​here)
FINAL ANSWER
448.378743088048 448.3787 Megapascal <-- Allowable compression stress
(Calculation completed in 00.004 seconds)

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Formula By I.S. Code For Mild Steel Calculators

Effective Column Length given Allowable Axial Compression Stress
​ LaTeX ​ Go Effective Column Length = (((Specified minimum yield stress for column/(Factor of Safety*Allowable compression stress))-1)/(0.20*((sqrt(Factor of Safety*Column Compressive load/(4*Modulus of Elasticity Column))))))*Least Radius of Gyration Column
Allowable Axial Compression Stress for Slenderness Ratio 0 to 160
​ LaTeX ​ Go Allowable compression stress = (Specified minimum yield stress for column/Factor of Safety)/(1+(0.20*((Effective Interest Rate/Least Radius of Gyration Column)*(sqrt(Factor of Safety*Column Compressive load/(4*Modulus of Elasticity Column))))))
Minimum Yield Stress for Allowable Axial Compression Stress for Slenderness Ratio between 0 to 160
​ LaTeX ​ Go Specified minimum yield stress for column = Allowable compression stress*(1+(0.20*((Effective Interest Rate/Least Radius of Gyration Column)*(sqrt(Factor of Safety*Column Compressive load/(4*Modulus of Elasticity Column))))))*Factor of Safety
Allowable Axial Compression Stress for Slenderness Ratio greater than 160
​ LaTeX ​ Go Allowable compression stress = Value obtained from Secant Formula*(1.2-(Effective Column Length/(800*Least Radius of Gyration Column)))

Allowable Axial Compression Stress for Slenderness Ratio greater than 160 Formula

​LaTeX ​Go
Allowable compression stress = Value obtained from Secant Formula*(1.2-(Effective Column Length/(800*Least Radius of Gyration Column)))
Fa = σc'*(1.2-(Leff/(800*rleast)))

Which is example of eccentric loading?

Examples of eccentric loading activities include performing a calf raise off the ledge of a stair, an exercise that has been shown to decrease the risk of Achilles tendon injuries. Another example is the nordic curl exercise, which has been shown to help reduce the risk of hamstring strains.

How to Calculate Allowable Axial Compression Stress for Slenderness Ratio greater than 160?

Allowable Axial Compression Stress for Slenderness Ratio greater than 160 calculator uses Allowable compression stress = Value obtained from Secant Formula*(1.2-(Effective Column Length/(800*Least Radius of Gyration Column))) to calculate the Allowable compression stress, Allowable Axial Compression Stress for Slenderness Ratio greater than 160 formula is defined as the maximum compressive stress that a mild steel column can withstand without buckling, considering the effective length and radius of the column, and is used to ensure the structural integrity of steel columns in building design. Allowable compression stress is denoted by Fa symbol.

How to calculate Allowable Axial Compression Stress for Slenderness Ratio greater than 160 using this online calculator? To use this online calculator for Allowable Axial Compression Stress for Slenderness Ratio greater than 160, enter Value obtained from Secant Formula c'), Effective Column Length (Leff) & Least Radius of Gyration Column (rleast) and hit the calculate button. Here is how the Allowable Axial Compression Stress for Slenderness Ratio greater than 160 calculation can be explained with given input values -> 0.000448 = 400250000*(1.2-(3/(800*0.04702))).

FAQ

What is Allowable Axial Compression Stress for Slenderness Ratio greater than 160?
Allowable Axial Compression Stress for Slenderness Ratio greater than 160 formula is defined as the maximum compressive stress that a mild steel column can withstand without buckling, considering the effective length and radius of the column, and is used to ensure the structural integrity of steel columns in building design and is represented as Fa = σc'*(1.2-(Leff/(800*rleast))) or Allowable compression stress = Value obtained from Secant Formula*(1.2-(Effective Column Length/(800*Least Radius of Gyration Column))). Value obtained from secant formula is the stress value on the column of mild steel, 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 Column is the smallest value of the radius of gyration is used for structural calculations.
How to calculate Allowable Axial Compression Stress for Slenderness Ratio greater than 160?
Allowable Axial Compression Stress for Slenderness Ratio greater than 160 formula is defined as the maximum compressive stress that a mild steel column can withstand without buckling, considering the effective length and radius of the column, and is used to ensure the structural integrity of steel columns in building design is calculated using Allowable compression stress = Value obtained from Secant Formula*(1.2-(Effective Column Length/(800*Least Radius of Gyration Column))). To calculate Allowable Axial Compression Stress for Slenderness Ratio greater than 160, you need Value obtained from Secant Formula c'), Effective Column Length (Leff) & Least Radius of Gyration Column (rleast). With our tool, you need to enter the respective value for Value obtained from Secant Formula, Effective Column Length & Least Radius of Gyration Column 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 Allowable compression stress?
In this formula, Allowable compression stress uses Value obtained from Secant Formula, Effective Column Length & Least Radius of Gyration Column. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Allowable compression stress = (Specified minimum yield stress for column/Factor of Safety)/(1+(0.20*((Effective Interest Rate/Least Radius of Gyration Column)*(sqrt(Factor of Safety*Column Compressive load/(4*Modulus of Elasticity Column))))))
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