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

GoDistance 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

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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 = (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}}}))))}

c - Distance from Neutral Axis to Extreme Point?σb^max - Maximum Bending Stress?P_compressive - Column Compressive Load?A_sectional - Column Cross Sectional Area?k - Least Radius of Gyration of Column?W_p - Greatest Safe Load?I - Moment of Inertia in Column?ε_column - Modulus of Elasticity?l_column - Column Length?

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

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

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

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

546437.1972 = (2 - (\frac{0.4}{1.4})) \cdot \frac{1.4 \cdot ({2.9277}^{2})}{(0.1 \cdot ((\frac{\sqrt{5600 \cdot \frac{10.56}{0.4}}}{2 \cdot 0.4}) \cdot \tan ((\frac{5000}{2}) \cdot (\sqrt{\frac{0.4}{5600 \cdot \frac{10.56}{0.4}}}))))}

546437.1972mm = (2MPa - (\frac{0.4kN}{1.4m²})) \cdot \frac{1.4m² \cdot ({2.9277mm}^{2})}{(0.1kN \cdot ((\frac{\sqrt{5600cm⁴ \cdot \frac{10.56MPa}{0.4kN}}}{2 \cdot 0.4kN}) \cdot \tan ((\frac{5000mm}{2}) \cdot (\sqrt{\frac{0.4kN}{5600cm⁴ \cdot \frac{10.56MPa}{0.4kN}}}))))}

546437.1972 = (2 - (\frac{0.4}{1.4})) \cdot \frac{1.4 \cdot ({2.9277}^{2})}{(0.1 \cdot ((\frac{\sqrt{5600 \cdot \frac{10.56}{0.4}}}{2 \cdot 0.4}) \cdot \tan ((\frac{5000}{2}) \cdot (\sqrt{\frac{0.4}{5600 \cdot \frac{10.56}{0.4}}}))))}

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

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

FIRST Step Consider the formula

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}}}))))}

Next Step Substitute values of Variables

∴

c = (2MPa - (\frac{0.4kN}{1.4m²})) \cdot \frac{1.4m² \cdot ({2.9277mm}^{2})}{(0.1kN \cdot ((\frac{\sqrt{5600cm⁴ \cdot \frac{10.56MPa}{0.4kN}}}{2 \cdot 0.4kN}) \cdot \tan ((\frac{5000mm}{2}) \cdot (\sqrt{\frac{0.4kN}{5600cm⁴ \cdot \frac{10.56MPa}{0.4kN}}}))))}

Next Step Convert Units

∴

c = (2E+6Pa - (\frac{400N}{1.4m²})) \cdot \frac{1.4m² \cdot ({0.0029m}^{2})}{(100N \cdot ((\frac{\sqrt{5.6E-5m⁴ \cdot \frac{1.1E+7Pa}{400N}}}{2 \cdot 400N}) \cdot \tan ((\frac{5m}{2}) \cdot (\sqrt{\frac{400N}{5.6E-5m⁴ \cdot \frac{1.1E+7Pa}{400N}}}))))}

Next Step Prepare to Evaluate

∴

c = (2E+6 - (\frac{400}{1.4})) \cdot \frac{1.4 \cdot ({0.0029}^{2})}{(100 \cdot ((\frac{\sqrt{5.6E-5 \cdot \frac{1.1E+7}{400}}}{2 \cdot 400}) \cdot \tan ((\frac{5}{2}) \cdot (\sqrt{\frac{400}{5.6E-5 \cdot \frac{1.1E+7}{400}}}))))}

Next Step Evaluate

∴

c = 546.437197181596m

Next Step Convert to Output's Unit

∴

c = 546437.197181596mm

LAST Step Rounding Answer

∴

c = 546437.1972mm

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

Variables

Functions

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

Maximum Bending Stress

Maximum Bending Stress is the highest stress experienced by a material when subjected to bending forces. It occurs at the point on a beam or structural element where the bending moment is greatest.

Symbol: σb^max

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Maximum Bending Stress

Column Compressive Load

Column Compressive Load is the load applied to a column that is compressive in nature.

Symbol: P_compressive

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Column Compressive Load

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

Greatest Safe Load

Greatest Safe Load is the maximum safe point load allowable at the center of the beam.

Symbol: W_p

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Greatest Safe Load

Moment of Inertia in Column

Moment of Inertia in Column is the measure of the resistance of a column to angular acceleration about a given axis.

Symbol: I

Measurement: Second Moment of AreaUnit: cm⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia in Column

Modulus of Elasticity

Modulus of Elasticity is a quantity that measures an object or substance's resistance to being deformed elastically when stress is applied to it.

Symbol: ε_column

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity

Column Length

Column Length is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.

Symbol: l_column

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Column Length

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

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.

Syntax: sqrt(Number)

Other Formulas to find Distance from Neutral Axis to Extreme Point

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

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

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}

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}

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

Distance of Extreme Layer from Neutral Axis given Maximum Stress induced for Strut evaluator uses 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))))))) to evaluate the Distance from Neutral Axis to Extreme Point, The Distance of Extreme Layer from Neutral Axis given Maximum Stress induced for Strut formula is defined as a 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 Centre, providing critical information for structural analysis and design. Distance from Neutral Axis to Extreme Point is denoted by c symbol.

How to evaluate Distance of Extreme Layer from Neutral Axis given Maximum Stress induced for Strut using this online evaluator? To use this online evaluator for Distance of Extreme Layer from Neutral Axis given Maximum Stress induced for Strut, enter Maximum Bending Stress (σb^max), Column Compressive Load (P_compressive), Column Cross Sectional Area (A_sectional), Least Radius of Gyration of Column (k), Greatest Safe Load (W_p), Moment of Inertia in Column (I), Modulus of Elasticity (ε_column) & Column Length (l_column) and hit the calculate button.

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

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

The formula of Distance of Extreme Layer from Neutral Axis given Maximum Stress induced for Strut is expressed as 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))))))). Here is an example- 1.4E+11 = (2000000-(400/1.4))*(1.4*(0.0029277^2))/((100*(((sqrt(5.6E-05*10560000/400))/(2*400))*tan((5/2)*(sqrt(400/(5.6E-05*10560000/400))))))).

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

With Maximum Bending Stress (σb^max), Column Compressive Load (P_compressive), Column Cross Sectional Area (A_sectional), Least Radius of Gyration of Column (k), Greatest Safe Load (W_p), Moment of Inertia in Column (I), Modulus of Elasticity (ε_column) & Column Length (l_column) we can find Distance of Extreme Layer from Neutral Axis given Maximum Stress induced for Strut using the formula - 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))))))). This formula also uses Tangent (tan), Square Root (sqrt) function(s).

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=Bending Stress in Column*(Column Cross Sectional Area*(Least Radius of Gyration of Column^2))/(Bending Moment in Column)
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)

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

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

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

Distance of Extreme Layer from Neutral Axis given Maximum Stress induced 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 Maximum Stress induced for Strut can be measured.

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

​GoDistance 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

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

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

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

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

Variable Name

GoDistance 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