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)
Scr = 34500-(245/sqrt(c))*(L/rgyration )
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
Scr = 34500-(245/sqrt(c))*(L/rgyration ) --> 34500-(245/sqrt(4))*(3/0.026)
Evaluating ... ...
Scr = 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 00.004 seconds)

Credits

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Cummins College of Engineering for Women (CCEW), Pune
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9 Typical Short Column Formulas Calculators

Theoretical Maximum Stress for Johnson Code Steels
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
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
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
Go Theoretical Maximum Stress = 5000-(0.5/End Fixity Coefficient)*(Effective Length of Column/Radius of Gyration of Column)^2
Critical Stress for Carbon Steel by AISC code
Go Critical Stress = 17000-0.485*(Effective Length of Column/Radius of Gyration of Column)^2
Critical Stress for Carbon Steel by Am. Br. Co. code
Go Critical Stress = 19000-100*(Effective Length of Column/Radius of Gyration of Column)
Critical Stress for Carbon Steel by Chicago code
Go Critical Stress = 16000-70*(Effective Length of Column/Radius of Gyration of Column)
Critical Stress for Carbon Steel by AREA code
Go Critical Stress = 15000-50*(Effective Length of Column/Radius of Gyration of Column)
Critical Stress for Cast Iron by NYC code
Go Critical Stress = 9000-40*(Effective Length of Column/Radius of Gyration of Column)

Theoretical Maximum Stress for ANC Code 2017ST Aluminium Formula

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

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 Scr 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 (rgyration ) 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 Scr = 34500-(245/sqrt(c))*(L/rgyration ) 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 (rgyration ). 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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