Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns Calculator

✖Direct Stress refers to the internal resistance offered by a material to an external force or load, acting perpendicularly to the cross-sectional area of the material.ⓘ Direct Stress [σ]			+10% -10%
✖Euler stress is the stress in column with curvature due to Euler load.ⓘ Euler Stress [σ_E]			+10% -10%
✖Maximum Stress at Crack Tip is the highest stress concentration that occurs at the tip of a crack in a material under load.ⓘ Maximum Stress at Crack Tip [σ_max]			+10% -10%
✖Radius of Gyration is the radial distance from the axis of rotation at which the entire area or mass can be assumed to be concentrated to produce the same moment of inertia.ⓘ Radius of Gyration [k_G]			+10% -10%
✖Maximum Initial Deflection is the degree to which a structural element is displaced under a load.ⓘ Maximum Initial Deflection [C]			+10% -10%

✖Distance from Neutral Axis to Extreme Point is the distance between the neutral axis and the extreme point.ⓘ Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns [c]

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Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns Solution

STEP 0: Pre-Calculation Summary

Formula Used

Distance from Neutral Axis to Extreme Point = (1-(Direct Stress/Euler Stress))*((Maximum Stress at Crack Tip/Direct Stress)-1)*(Radius of Gyration^2)/Maximum Initial Deflection
c = (1-(σ/σ_E))*((σ_max/σ)-1)*(k_G^2)/C
This formula uses 6 Variables

Variables Used

Distance from Neutral Axis to Extreme Point - (Measured in Meter) - Distance from Neutral Axis to Extreme Point is the distance between the neutral axis and the extreme point.
Direct Stress - (Measured in Pascal) - Direct Stress refers to the internal resistance offered by a material to an external force or load, acting perpendicularly to the cross-sectional area of the material.
Euler Stress - (Measured in Pascal) - Euler stress is the stress in column with curvature due to Euler load.
Maximum Stress at Crack Tip - (Measured in Pascal) - Maximum Stress at Crack Tip is the highest stress concentration that occurs at the tip of a crack in a material under load.
Radius of Gyration - (Measured in Meter) - Radius of Gyration is the radial distance from the axis of rotation at which the entire area or mass can be assumed to be concentrated to produce the same moment of inertia.
Maximum Initial Deflection - (Measured in Meter) - Maximum Initial Deflection is the degree to which a structural element is displaced under a load.

STEP 1: Convert Input(s) to Base Unit

Direct Stress: 8E-06 Megapascal --> 8 Pascal (Check conversion here)
Euler Stress: 0.3 Megapascal --> 300000 Pascal (Check conversion here)
Maximum Stress at Crack Tip: 6E-05 Megapascal --> 60 Pascal (Check conversion here)
Radius of Gyration: 312 Millimeter --> 0.312 Meter (Check conversion here)
Maximum Initial Deflection: 300 Millimeter --> 0.3 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c = (1-(σ/σ_E))*((σ_max/σ)-1)*(k_G^2)/C --> (1-(8/300000))*((60/8)-1)*(0.312^2)/0.3

Evaluating ... ...

c = 2.1090637568

STEP 3: Convert Result to Output's Unit

2.1090637568 Meter -->2109.0637568 Millimeter (Check conversion here)

FINAL ANSWER

2109.0637568 ≈ 2109.064 Millimeter <-- Distance from Neutral Axis to Extreme Point

(Calculation completed in 00.004 seconds)

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Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns Formula

LaTeX Go

What is Neutral Axis?

The Neutral Axis is an imaginary line within a beam or structural member's cross-section where the fibers (material elements) experience no longitudinal stress during bending. In simple terms, it is the axis within the cross-section that does not undergo any tension or compression when the member is subjected to bending.

How to Calculate Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns?

Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns calculator uses Distance from Neutral Axis to Extreme Point = (1-(Direct Stress/Euler Stress))*((Maximum Stress at Crack Tip/Direct Stress)-1)*(Radius of Gyration^2)/Maximum Initial Deflection to calculate the Distance from Neutral Axis to Extreme Point, The Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns formula is defined as a measure of the distance from the neutral axis of the extreme layer in a column with initial curvature, which is essential in understanding the structural behavior of columns under various loads. Distance from Neutral Axis to Extreme Point is denoted by c symbol.

How to calculate Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns using this online calculator? To use this online calculator for Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns, enter Direct Stress (σ), Euler Stress (σ_E), Maximum Stress at Crack Tip (σ_max), Radius of Gyration (k_G) & Maximum Initial Deflection (C) and hit the calculate button. Here is how the Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns calculation can be explained with given input values -> 49918.67 = (1-(8/300000))*((60/8)-1)*(0.312^2)/0.3.

FAQ

What is Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns?

The Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns formula is defined as a measure of the distance from the neutral axis of the extreme layer in a column with initial curvature, which is essential in understanding the structural behavior of columns under various loads and is represented as c = (1-(σ/σ_E))*((σ_max/σ)-1)*(k_G^2)/C or Distance from Neutral Axis to Extreme Point = (1-(Direct Stress/Euler Stress))*((Maximum Stress at Crack Tip/Direct Stress)-1)*(Radius of Gyration^2)/Maximum Initial Deflection. Direct Stress refers to the internal resistance offered by a material to an external force or load, acting perpendicularly to the cross-sectional area of the material, Euler stress is the stress in column with curvature due to Euler load, Maximum Stress at Crack Tip is the highest stress concentration that occurs at the tip of a crack in a material under load, Radius of Gyration is the radial distance from the axis of rotation at which the entire area or mass can be assumed to be concentrated to produce the same moment of inertia & Maximum Initial Deflection is the degree to which a structural element is displaced under a load.

How to calculate Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns?

The Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns formula is defined as a measure of the distance from the neutral axis of the extreme layer in a column with initial curvature, which is essential in understanding the structural behavior of columns under various loads is calculated using Distance from Neutral Axis to Extreme Point = (1-(Direct Stress/Euler Stress))*((Maximum Stress at Crack Tip/Direct Stress)-1)*(Radius of Gyration^2)/Maximum Initial Deflection. To calculate Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns, you need Direct Stress (σ), Euler Stress (σ_E), Maximum Stress at Crack Tip (σ_max), Radius of Gyration (k_G) & Maximum Initial Deflection (C). With our tool, you need to enter the respective value for Direct Stress, Euler Stress, Maximum Stress at Crack Tip, Radius of Gyration & Maximum Initial Deflection and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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