Theoretical Maximum Stress for ANC Code 2017ST Aluminium Calculator

✖The End Fixity Coefficient is defined as the ratio of the moment at one end to the moment at the same end when both the ends are ideally fixed.ⓘ End Fixity Coefficient [c]			+10% -10%
✖The Effective Length of Column can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration.ⓘ Effective Length of Column [L]			+10% -10%
✖The Radius of Gyration of Column about the axis of rotation is defined as the radial distance to a point which would have a moment of inertia the same as the body's actual distribution of mass.ⓘ Radius of Gyration of Column [r_gyration]			+10% -10%

✖The Theoretical Maximum Stress is when a material will fail or yield when its maximum stress equals or exceeds the shear stress value at the yield point in the uniaxial tensile test.ⓘ Theoretical Maximum Stress for ANC Code 2017ST Aluminium [S_cr]

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Theoretical Maximum Stress for ANC Code 2017ST Aluminium Solution

STEP 0: Pre-Calculation Summary

Formula Used

Theoretical Maximum Stress = 34500-(245/sqrt(End Fixity Coefficient))*(Effective Length of Column/Radius of Gyration of Column)
S_cr = 34500-(245/sqrt(c))*(L/r_gyration)
This formula uses 1 Functions, 4 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

Theoretical Maximum Stress - (Measured in Pascal) - The Theoretical Maximum Stress is when a material will fail or yield when its maximum stress equals or exceeds the shear stress value at the yield point in the uniaxial tensile test.
End Fixity Coefficient - The End Fixity Coefficient is defined as the ratio of the moment at one end to the moment at the same end when both the ends are ideally fixed.
Effective Length of Column - (Measured in Meter) - The Effective Length of Column can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration.
Radius of Gyration of Column - (Measured in Meter) - The Radius of Gyration of Column about the axis of rotation is defined as the radial distance to a point which would have a moment of inertia the same as the body's actual distribution of mass.

STEP 1: Convert Input(s) to Base Unit

End Fixity Coefficient: 4 --> No Conversion Required
Effective Length of Column: 3000 Millimeter --> 3 Meter (Check conversion here)
Radius of Gyration of Column: 26 Millimeter --> 0.026 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_cr = 34500-(245/sqrt(c))*(L/r_gyration) --> 34500-(245/sqrt(4))*(3/0.026)

Evaluating ... ...

S_cr = 20365.3846153846

STEP 3: Convert Result to Output's Unit

20365.3846153846 Pascal --> No Conversion Required

FINAL ANSWER

20365.3846153846 ≈ 20365.38 Pascal <-- Theoretical Maximum Stress

(Calculation completed in 00.007 seconds)

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Home » Engineering » Civil » Columns » Eccentric Loads on Columns » Typical Short Column Formulas » Theoretical Maximum Stress for ANC Code 2017ST Aluminium

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< Typical Short Column Formulas Calculators

Theoretical Maximum Stress for Johnson Code Steels

LaTeX Go Theoretical Maximum Stress = Stress at any Point y*(1-(Stress at any Point y/(4*Coefficient for Column End Conditions*(pi^2)*Modulus of Elasticity))*(Effective Length of Column/Radius of Gyration of Column)^2)

Theoretical Maximum Stress for ANC Code 2017ST Aluminium

LaTeX Go Theoretical Maximum Stress = 34500-(245/sqrt(End Fixity Coefficient))*(Effective Length of Column/Radius of Gyration of Column)

Theoretical Maximum Stress for ANC Code Alloy Steel Tubing

LaTeX Go Theoretical Maximum Stress = 135000-(15.9/End Fixity Coefficient)*(Effective Length of Column/Radius of Gyration of Column)^2

Theoretical Maximum Stress for ANC Code Spruce

LaTeX Go Theoretical Maximum Stress = 5000-(0.5/End Fixity Coefficient)*(Effective Length of Column/Radius of Gyration of Column)^2

Theoretical Maximum Stress for ANC Code 2017ST Aluminium Formula

LaTeX Go

Theoretical Maximum Stress = 34500-(245/sqrt(End Fixity Coefficient))*(Effective Length of Column/Radius of Gyration of Column)
S_cr = 34500-(245/sqrt(c))*(L/r_gyration)

2017ST Aluminium

Aluminium/aluminum 2017 alloy is a heat treatable wrought alloy with intermediate strength. It is stronger than aluminium /aluminum 2011, but harder to machine. Workability is fair with ductility and formability better that aluminium / aluminum 2014.

How to Calculate Theoretical Maximum Stress for ANC Code 2017ST Aluminium?

Theoretical Maximum Stress for ANC Code 2017ST Aluminium calculator uses Theoretical Maximum Stress = 34500-(245/sqrt(End Fixity Coefficient))*(Effective Length of Column/Radius of Gyration of Column) to calculate the Theoretical Maximum Stress, The Theoretical Maximum Stress for ANC Code 2017ST Aluminium formula is defined as maximum possible stress a perfect solid can withstand, when short blocks or short column are loaded eccentrically in compression or in tension (not through the center of gravity). Theoretical Maximum Stress is denoted by S_cr symbol.

How to calculate Theoretical Maximum Stress for ANC Code 2017ST Aluminium using this online calculator? To use this online calculator for Theoretical Maximum Stress for ANC Code 2017ST Aluminium, enter End Fixity Coefficient (c), Effective Length of Column (L) & Radius of Gyration of Column (r_gyration) and hit the calculate button. Here is how the Theoretical Maximum Stress for ANC Code 2017ST Aluminium calculation can be explained with given input values -> 20365.38 = 34500-(245/sqrt(4))*(3/0.026).

FAQ

What is Theoretical Maximum Stress for ANC Code 2017ST Aluminium?

The Theoretical Maximum Stress for ANC Code 2017ST Aluminium formula is defined as maximum possible stress a perfect solid can withstand, when short blocks or short column are loaded eccentrically in compression or in tension (not through the center of gravity) and is represented as S_cr = 34500-(245/sqrt(c))*(L/r_gyration) or Theoretical Maximum Stress = 34500-(245/sqrt(End Fixity Coefficient))*(Effective Length of Column/Radius of Gyration of Column). The End Fixity Coefficient is defined as the ratio of the moment at one end to the moment at the same end when both the ends are ideally fixed, The Effective Length of Column can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration & The Radius of Gyration of Column about the axis of rotation is defined as the radial distance to a point which would have a moment of inertia the same as the body's actual distribution of mass.

How to calculate Theoretical Maximum Stress for ANC Code 2017ST Aluminium?

The Theoretical Maximum Stress for ANC Code 2017ST Aluminium formula is defined as maximum possible stress a perfect solid can withstand, when short blocks or short column are loaded eccentrically in compression or in tension (not through the center of gravity) is calculated using Theoretical Maximum Stress = 34500-(245/sqrt(End Fixity Coefficient))*(Effective Length of Column/Radius of Gyration of Column). To calculate Theoretical Maximum Stress for ANC Code 2017ST Aluminium, you need End Fixity Coefficient (c), Effective Length of Column (L) & Radius of Gyration of Column (r_gyration). With our tool, you need to enter the respective value for End Fixity Coefficient, Effective Length of Column & Radius of Gyration of 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 Theoretical Maximum Stress?

In this formula, Theoretical Maximum Stress uses End Fixity Coefficient, Effective Length of Column & Radius of Gyration of Column. We can use 3 other way(s) to calculate the same, which is/are as follows -

Theoretical Maximum Stress = 135000-(15.9/End Fixity Coefficient)*(Effective Length of Column/Radius of Gyration of Column)^2
Theoretical Maximum Stress = 5000-(0.5/End Fixity Coefficient)*(Effective Length of Column/Radius of Gyration of Column)^2
Theoretical Maximum Stress = Stress at any Point y*(1-(Stress at any Point y/(4*Coefficient for Column End Conditions*(pi^2)*Modulus of Elasticity))*(Effective Length of Column/Radius of Gyration of Column)^2)

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