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

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Distance from Neutral Axis to Extreme Point is the distance between the neutral axis and the extreme point. Check FAQs

c = (1 - (\frac{σ}{σ E})) \cdot ((\frac{σ max}{σ}) - 1) \cdot \frac{{k G}^{2}}{C}

c - Distance from Neutral Axis to Extreme Point?σ - Direct Stress?σ_E - Euler Stress?σ_max - Maximum Stress at Crack Tip?k_G - Radius of Gyration?C - Maximum Initial Deflection?

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

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Here is how the Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns equation looks like with Values.

Here is how the Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns equation looks like with Units.

Here is how the Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns equation looks like.

2109.0638 = (1 - (\frac{8E-6}{0.3})) \cdot ((\frac{6E-5}{8E-6}) - 1) \cdot \frac{312^{2}}{300}

2109.0638mm = (1 - (\frac{8E-6MPa}{0.3MPa})) \cdot ((\frac{6E-5MPa}{8E-6MPa}) - 1) \cdot \frac{{312mm}^{2}}{300mm}

2109.0638 = (1 - (\frac{8E-6}{0.3})) \cdot ((\frac{6E-5}{8E-6}) - 1) \cdot \frac{312^{2}}{300}

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

Follow our step by step solution on how to calculate Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns?

FIRST Step Consider the formula

c = (1 - (\frac{σ}{σ E})) \cdot ((\frac{σ max}{σ}) - 1) \cdot \frac{{k G}^{2}}{C}

Next Step Substitute values of Variables

∴

c = (1 - (\frac{8E-6MPa}{0.3MPa})) \cdot ((\frac{6E-5MPa}{8E-6MPa}) - 1) \cdot \frac{{312mm}^{2}}{300mm}

Next Step Convert Units

∴

c = (1 - (\frac{8Pa}{300000Pa})) \cdot ((\frac{60Pa}{8Pa}) - 1) \cdot \frac{{0.312m}^{2}}{0.3m}

Next Step Prepare to Evaluate

∴

c = (1 - (\frac{8}{300000})) \cdot ((\frac{60}{8}) - 1) \cdot \frac{{0.312}^{2}}{0.3}

Next Step Evaluate

∴

c = 2.1090637568m

Next Step Convert to Output's Unit

∴

c = 2109.0637568mm

LAST Step Rounding Answer

∴

c = 2109.0638mm

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

Variables

Distance from Neutral Axis to Extreme Point

Distance from Neutral Axis to Extreme Point is the distance between the neutral axis and the extreme point.

Symbol: c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Neutral Axis to Extreme Point

Direct Stress

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.

Symbol: σ

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Direct Stress

Euler Stress

Euler stress is the stress in column with curvature due to Euler load.

Symbol: σ_E

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Euler Stress

Maximum Stress at Crack Tip

Maximum Stress at Crack Tip is the highest stress concentration that occurs at the tip of a crack in a material under load.

Symbol: σ_max

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Maximum Stress at Crack Tip

Radius of Gyration

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.

Symbol: k_G

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Gyration

Maximum Initial Deflection

Maximum Initial Deflection is the degree to which a structural element is displaced under a load.

Symbol: C

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Maximum Initial Deflection

Other formulas in Columns With Initial Curvature category

Go Value of Distance 'X' given Initial Deflection at Distance X from end A

x = (a \sin (\frac{y'}{C})) \cdot \frac{l}{π}

Go Length of Column given Initial Deflection at Distance X from end A

l = \frac{π \cdot x}{a \sin (\frac{y'}{C})}

Go Euler Load

P E = \frac{(π^{2}) \cdot ε column \cdot I}{l^{2}}

Go Modulus of Elasticity given Euler Load

ε column = \frac{P E \cdot (l^{2})}{π^{2} \cdot I}

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

Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns evaluator 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 evaluate 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 evaluate Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns?

The formula of Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns is expressed as 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. Here is an example- 49918.67 = (1-(8/300000))*((60/8)-1)*(0.312^2)/0.3.

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

With Direct Stress (σ), Euler Stress (σ_E), Maximum Stress at Crack Tip (σ_max), Radius of Gyration (k_G) & Maximum Initial Deflection (C) we can find Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns using the formula - 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.

Can the Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns be negative?

No, the Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns, measured in Length cannot be negative.

Which unit is used to measure Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns?

Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Distance from Neutral Axis of Extreme Layer given Maximum Stress for Columns can be measured.

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

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

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

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

Other formulas in Columns With Initial Curvature category

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

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

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