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Distance of Extreme Layer from Neutral Axis given Bending Stress for Strut Formula

GoDistance of Extreme Layer from Neutral Axis if Max Bending Moment is given for Strut with Point Load Formula

GoDistance of Extreme Layer from Neutral Axis given Maximum Stress induced for Strut 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 = σ b \cdot \frac{A sectional \cdot (k^{2})}{M b}

c - Distance from Neutral Axis to Extreme Point?σ_b - Bending Stress in Column?A_sectional - Column Cross Sectional Area?k - Least Radius of Gyration of Column?M_b - Bending Moment in Column?

Distance of Extreme Layer from Neutral Axis given Bending Stress for Strut Example

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

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

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

10 = 0.04 \cdot \frac{1.4 \cdot ({2.9277}^{2})}{48}

10mm = 0.04MPa \cdot \frac{1.4m² \cdot ({2.9277mm}^{2})}{48N*m}

10 = 0.04 \cdot \frac{1.4 \cdot ({2.9277}^{2})}{48}

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Distance of Extreme Layer from Neutral Axis given Bending Stress for Strut Solution

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

FIRST Step Consider the formula

c = σ b \cdot \frac{A sectional \cdot (k^{2})}{M b}

Next Step Substitute values of Variables

∴

c = 0.04MPa \cdot \frac{1.4m² \cdot ({2.9277mm}^{2})}{48N*m}

Next Step Convert Units

∴

c = 40000Pa \cdot \frac{1.4m² \cdot ({0.0029m}^{2})}{48N*m}

Next Step Prepare to Evaluate

∴

c = 40000 \cdot \frac{1.4 \cdot ({0.0029}^{2})}{48}

Next Step Evaluate

∴

c = 0.009999998505m

Next Step Convert to Output's Unit

∴

c = 9.999998505mm

LAST Step Rounding Answer

∴

c = 10mm

Distance of Extreme Layer from Neutral Axis given Bending Stress for Strut 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

Bending Stress in Column

Bending Stress in Column is the normal stress that is induced at a point in a column subjected to loads that cause it to bend.

Symbol: σ_b

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Bending Stress in Column

Column Cross Sectional Area

Column Cross Sectional Area is the area of a column that is obtained when a column is sliced perpendicular to some specified axis at a point.

Symbol: A_sectional

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Column Cross Sectional Area

Least Radius of Gyration of Column

Least Radius of Gyration of Column is a measure of the distribution of its cross-sectional area around its centroidal axis.

Symbol: k

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Least Radius of Gyration of Column

Bending Moment in Column

Bending Moment in Column is the reaction induced in a column when an external force or moment is applied to the element, causing the element to bend.

Symbol: M_b

Measurement: Moment of ForceUnit: N*m

Note: Value should be greater than 0.

Formulas to find Bending Moment in Column

Other Formulas to find Distance from Neutral Axis to Extreme Point

Go Distance of Extreme Layer from Neutral Axis if Max Bending Moment is given for Strut with Point Load

c = σb max \cdot \frac{A sectional \cdot (k^{2})}{M max}

Go Distance of Extreme Layer from Neutral Axis given Maximum Stress induced for Strut

c = (σb max - (\frac{P compressive}{A sectional})) \cdot \frac{A sectional \cdot (k^{2})}{(W p \cdot ((\frac{\sqrt{I \cdot \frac{ε column}{P compressive}}}{2 \cdot P compressive}) \cdot \tan ((\frac{l column}{2}) \cdot (\sqrt{\frac{P compressive}{I \cdot \frac{ε column}{P compressive}}}))))}

Other formulas in Strut Subjected to Compressive Axial Thrust and a Transverse Point Load at the Centre category

Go Bending Moment at Section for Strut with Axial and Transverse Point Load at Center

M b = - (P compressive \cdot δ) - (W p \cdot \frac{x}{2})

Go Compressive Axial Load for Strut with Axial and Transverse Point Load at Center

P compressive = - \frac{M b + (W p \cdot \frac{x}{2})}{δ}

Go Deflection at Section for Strut with Axial and Transverse Point Load at Center

δ = P compressive - \frac{M b + (W p \cdot \frac{x}{2})}{P compressive}

Go Transverse Point Load for Strut with Axial and Transverse Point Load at Center

W p = (- M b - (P compressive \cdot δ)) \cdot \frac{2}{x}

How to Evaluate Distance of Extreme Layer from Neutral Axis given Bending Stress for Strut?

Distance of Extreme Layer from Neutral Axis given Bending Stress for Strut evaluator uses Distance from Neutral Axis to Extreme Point = Bending Stress in Column*(Column Cross Sectional Area*(Least Radius of Gyration of Column^2))/(Bending Moment in Column) to evaluate the Distance from Neutral Axis to Extreme Point, The Distance of Extreme Layer from Neutral Axis given Bending Stress for Strut formula is defined as the measure of the distance from the neutral axis to the extreme layer of a strut subjected to compressive axial thrust and a transverse point load at the center, providing insight into the structural integrity of the strut under various loads. Distance from Neutral Axis to Extreme Point is denoted by c symbol.

How to evaluate Distance of Extreme Layer from Neutral Axis given Bending Stress for Strut using this online evaluator? To use this online evaluator for Distance of Extreme Layer from Neutral Axis given Bending Stress for Strut, enter Bending Stress in Column (σ_b), Column Cross Sectional Area (A_sectional), Least Radius of Gyration of Column (k) & Bending Moment in Column (M_b) and hit the calculate button.

FAQs on Distance of Extreme Layer from Neutral Axis given Bending Stress for Strut

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

The formula of Distance of Extreme Layer from Neutral Axis given Bending Stress for Strut is expressed as Distance from Neutral Axis to Extreme Point = Bending Stress in Column*(Column Cross Sectional Area*(Least Radius of Gyration of Column^2))/(Bending Moment in Column). Here is an example- 2.6E+6 = 40000*(1.4*(0.0029277^2))/(48).

How to calculate Distance of Extreme Layer from Neutral Axis given Bending Stress for Strut?

With Bending Stress in Column (σ_b), Column Cross Sectional Area (A_sectional), Least Radius of Gyration of Column (k) & Bending Moment in Column (M_b) we can find Distance of Extreme Layer from Neutral Axis given Bending Stress for Strut using the formula - Distance from Neutral Axis to Extreme Point = Bending Stress in Column*(Column Cross Sectional Area*(Least Radius of Gyration of Column^2))/(Bending Moment in Column).

What are the other ways to Calculate Distance from Neutral Axis to Extreme Point?

Here are the different ways to Calculate Distance from Neutral Axis to Extreme Point-

Distance from Neutral Axis to Extreme Point=Maximum Bending Stress*(Column Cross Sectional Area*(Least Radius of Gyration of Column^2))/(Maximum Bending Moment In Column)
Distance from Neutral Axis to Extreme Point=(Maximum Bending Stress-(Column Compressive Load/Column Cross Sectional Area))*(Column Cross Sectional Area*(Least Radius of Gyration of Column^2))/((Greatest Safe Load*(((sqrt(Moment of Inertia in Column*Modulus of Elasticity/Column Compressive Load))/(2*Column Compressive Load))*tan((Column Length/2)*(sqrt(Column Compressive Load/(Moment of Inertia in Column*Modulus of Elasticity/Column Compressive Load)))))))

Can the Distance of Extreme Layer from Neutral Axis given Bending Stress for Strut be negative?

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

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

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

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Distance of Extreme Layer from Neutral Axis given Bending Stress for Strut Formula

​GoDistance of Extreme Layer from Neutral Axis if Max Bending Moment is given for Strut with Point Load Formula

​GoDistance of Extreme Layer from Neutral Axis given Maximum Stress induced for Strut Formula

Distance of Extreme Layer from Neutral Axis given Bending Stress for Strut Example

Distance of Extreme Layer from Neutral Axis given Bending Stress for Strut Solution

Distance of Extreme Layer from Neutral Axis given Bending Stress for Strut Formula Elements

Other Formulas to find Distance from Neutral Axis to Extreme Point

Other formulas in Strut Subjected to Compressive Axial Thrust and a Transverse Point Load at the Centre category

How to Evaluate Distance of Extreme Layer from Neutral Axis given Bending Stress for Strut?

FAQs on Distance of Extreme Layer from Neutral Axis given Bending Stress for Strut

Variable Name

GoDistance of Extreme Layer from Neutral Axis if Max Bending Moment is given for Strut with Point Load Formula

GoDistance of Extreme Layer from Neutral Axis given Maximum Stress induced for Strut Formula