Theoretical Maximum Stress for ANC Code Spruce 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 Spruce [S_cr]

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Theoretical Maximum Stress for ANC Code Spruce Solution

STEP 0: Pre-Calculation Summary

Formula Used

Theoretical Maximum Stress = 5000-(0.5/End Fixity Coefficient)*(Effective Length of Column/Radius of Gyration of Column)^2
S_cr = 5000-(0.5/c)*(L/r_gyration)^2
This formula uses 4 Variables

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 = 5000-(0.5/c)*(L/r_gyration)^2 --> 5000-(0.5/4)*(3/0.026)^2

Evaluating ... ...

S_cr = 3335.79881656805

STEP 3: Convert Result to Output's Unit

3335.79881656805 Pascal --> No Conversion Required

FINAL ANSWER

3335.79881656805 ≈ 3335.799 Pascal <-- Theoretical Maximum Stress

(Calculation completed in 00.004 seconds)

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

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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 Spruce Formula

LaTeX Go

Theoretical Maximum Stress = 5000-(0.5/End Fixity Coefficient)*(Effective Length of Column/Radius of Gyration of Column)^2
S_cr = 5000-(0.5/c)*(L/r_gyration)^2

What is the stress?

Stress is defined as the resistance force acting per unit cross-section area of the body. It is also defined as the ratio of applied load to the cross section area of the body.

How to Calculate Theoretical Maximum Stress for ANC Code Spruce?

Theoretical Maximum Stress for ANC Code Spruce calculator uses Theoretical Maximum Stress = 5000-(0.5/End Fixity Coefficient)*(Effective Length of Column/Radius of Gyration of Column)^2 to calculate the Theoretical Maximum Stress, The Theoretical Maximum Stress for ANC Code Spruce 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 Spruce using this online calculator? To use this online calculator for Theoretical Maximum Stress for ANC Code Spruce, 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 Spruce calculation can be explained with given input values -> 3335.799 = 5000-(0.5/4)*(3/0.026)^2.

FAQ

What is Theoretical Maximum Stress for ANC Code Spruce?

The Theoretical Maximum Stress for ANC Code Spruce 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 = 5000-(0.5/c)*(L/r_gyration)^2 or Theoretical Maximum Stress = 5000-(0.5/End Fixity Coefficient)*(Effective Length of Column/Radius of Gyration of Column)^2. 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 Spruce?

The Theoretical Maximum Stress for ANC Code Spruce 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 = 5000-(0.5/End Fixity Coefficient)*(Effective Length of Column/Radius of Gyration of Column)^2. To calculate Theoretical Maximum Stress for ANC Code Spruce, 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 = 34500-(245/sqrt(End Fixity Coefficient))*(Effective Length of Column/Radius of Gyration of Column)
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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