Allowable Axial Compression Stress for Slenderness Ratio 0 to 160 Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))))))
Fa = (Fyw/fs)/(1+(0.20*((EAR/rleast)*(sqrt(fs*Pcompressive/(4*εcolumn))))))
This formula uses 1 Functions, 7 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
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.
Specified minimum yield stress for column - (Measured in Pascal) - Specified minimum yield stress for column represents the minimum tensile stress or yield stress required by the flexural member, say, web.
Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
Effective Interest Rate - The effective interest rate is the true rate of interest earned.
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.
Column Compressive load - (Measured in Newton) - Column Compressive load is the load applied to a column that is compressive in nature.
Modulus of Elasticity Column - (Measured in Pascal) - Modulus of Elasticity Column is a quantity that measures an object or substance's resistance to being deformed elastically when stress is applied to it.
STEP 1: Convert Input(s) to Base Unit
Specified minimum yield stress for column: 2.7 Megapascal --> 2700000 Pascal (Check conversion here)
Factor of Safety: 2.8 --> No Conversion Required
Effective Interest Rate: 6 --> No Conversion Required
Least Radius of Gyration Column: 47.02 Millimeter --> 0.04702 Meter (Check conversion here)
Column Compressive load: 0.4 Kilonewton --> 400 Newton (Check conversion here)
Modulus of Elasticity Column: 10.56 Megapascal --> 10560000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fa = (Fyw/fs)/(1+(0.20*((EAR/rleast)*(sqrt(fs*Pcompressive/(4*εcolumn)))))) --> (2700000/2.8)/(1+(0.20*((6/0.04702)*(sqrt(2.8*400/(4*10560000))))))
Evaluating ... ...
Fa = 852282.782042558
STEP 3: Convert Result to Output's Unit
852282.782042558 Pascal -->0.852282782042558 Megapascal (Check conversion here)
FINAL ANSWER
0.852282782042558 0.852283 Megapascal <-- Allowable compression stress
(Calculation completed in 00.020 seconds)

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10+ Formula By I.S. Code For Mild Steel Calculators

Value Obtained from Secant Formula given Allowable Axial Compression Stress
Go Value obtained from Secant Formula = (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))))))
Least Radius of Gyration given Allowable Axial Compression Stress
Go Least Radius of Gyration Column = (0.20*((Effective Interest Rate/((Specified minimum yield stress for column/(Factor of Safety*Allowable compression stress))-1))*(sqrt(Factor of Safety*Column Compressive load/(4*Modulus of Elasticity Column)))))
Effective Column Length given Allowable Axial Compression Stress
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
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
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
Slenderness Ratio given Allowable Axial Compression Stress
Go Slenderness Ratio = ((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)))))
Value Obtained from Secant given Axial Compression Stress Slenderness Ratio Greater than 160
Go Value obtained from Secant Formula = Allowable compression stress/(1.2-(Effective Column Length/(800*Least Radius of Gyration Column)))
Least Radius of Gyration given Allowable Axial Compression Stress Slenderness Ratio More 160
Go Least Radius of Gyration Column = Effective Column Length/(800*(1.2-(Allowable compression stress/Value obtained from Secant Formula)))
Allowable Axial Compression Stress for Slenderness Ratio greater than 160
Go Allowable compression stress = Value obtained from Secant Formula*(1.2-(Effective Column Length/(800*Least Radius of Gyration Column)))
Effective Column Length given Allowable Axial Compression Stress, SL Ratio Greater than 160
Go Effective Column Length = 1.2-(Allowable compression stress/Value obtained from Secant Formula)*(800*Least Radius of Gyration Column)

Allowable Axial Compression Stress for Slenderness Ratio 0 to 160 Formula

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))))))
Fa = (Fyw/fs)/(1+(0.20*((EAR/rleast)*(sqrt(fs*Pcompressive/(4*εcolumn))))))

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 0 to 160?

Allowable Axial Compression Stress for Slenderness Ratio 0 to 160 calculator uses 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)))))) to calculate the Allowable compression stress, Allowable axial compression stress for slenderness ratio 0 to 160 formula is defined as the force acting on the unit area of a material. The effect of stress on a body is named strain. Stress can deform the body. Allowable compression stress is denoted by Fa symbol.

How to calculate Allowable Axial Compression Stress for Slenderness Ratio 0 to 160 using this online calculator? To use this online calculator for Allowable Axial Compression Stress for Slenderness Ratio 0 to 160, enter Specified minimum yield stress for column (Fyw), Factor of Safety (fs), Effective Interest Rate (EAR), Least Radius of Gyration Column (rleast), Column Compressive load (Pcompressive) & Modulus of Elasticity Column column) and hit the calculate button. Here is how the Allowable Axial Compression Stress for Slenderness Ratio 0 to 160 calculation can be explained with given input values -> 7.9E-7 = (2700000/2.8)/(1+(0.20*((6/0.04702)*(sqrt(2.8*400/(4*10560000)))))).

FAQ

What is Allowable Axial Compression Stress for Slenderness Ratio 0 to 160?
Allowable axial compression stress for slenderness ratio 0 to 160 formula is defined as the force acting on the unit area of a material. The effect of stress on a body is named strain. Stress can deform the body and is represented as Fa = (Fyw/fs)/(1+(0.20*((EAR/rleast)*(sqrt(fs*Pcompressive/(4*εcolumn)))))) or 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)))))). Specified minimum yield stress for column represents the minimum tensile stress or yield stress required by the flexural member, say, web, Factor of Safety expresses how much stronger a system is than it needs to be for an intended load, The effective interest rate is the true rate of interest earned, Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations, Column Compressive load is the load applied to a column that is compressive in nature & Modulus of Elasticity Column is a quantity that measures an object or substance's resistance to being deformed elastically when stress is applied to it.
How to calculate Allowable Axial Compression Stress for Slenderness Ratio 0 to 160?
Allowable axial compression stress for slenderness ratio 0 to 160 formula is defined as the force acting on the unit area of a material. The effect of stress on a body is named strain. Stress can deform the body is calculated using 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)))))). To calculate Allowable Axial Compression Stress for Slenderness Ratio 0 to 160, you need Specified minimum yield stress for column (Fyw), Factor of Safety (fs), Effective Interest Rate (EAR), Least Radius of Gyration Column (rleast), Column Compressive load (Pcompressive) & Modulus of Elasticity Column column). With our tool, you need to enter the respective value for Specified minimum yield stress for column, Factor of Safety, Effective Interest Rate, Least Radius of Gyration Column, Column Compressive load & Modulus of Elasticity 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 Specified minimum yield stress for column, Factor of Safety, Effective Interest Rate, Least Radius of Gyration Column, Column Compressive load & Modulus of Elasticity Column. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Allowable compression stress = Value obtained from Secant Formula*(1.2-(Effective Column Length/(800*Least Radius of Gyration Column)))
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