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Distance of Extreme Layer from NA given Max Stress for Strut under Uniformly Distributed 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 axial}{A sectional})) \cdot \frac{I}{M}

c - Distance from Neutral Axis to Extreme Point?σb^max - Maximum Bending Stress?P_axial - Axial Thrust?A_sectional - Cross Sectional Area?I - Moment of Inertia?M - Maximum Bending Moment In Column?

Distance of Extreme Layer from NA given Max Stress for Strut under Uniformly Distributed Load Example

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Here is how the Distance of Extreme Layer from NA given Max Stress for Strut under Uniformly Distributed Load equation looks like with Values.

Here is how the Distance of Extreme Layer from NA given Max Stress for Strut under Uniformly Distributed Load equation looks like with Units.

Here is how the Distance of Extreme Layer from NA given Max Stress for Strut under Uniformly Distributed Load equation looks like.

6996.25 = (2 - (\frac{1500}{1.4})) \cdot \frac{5600}{16}

6996.25mm = (2MPa - (\frac{1500N}{1.4m²})) \cdot \frac{5600cm⁴}{16N*m}

6996.25 = (2 - (\frac{1500}{1.4})) \cdot \frac{5600}{16}

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Distance of Extreme Layer from NA given Max Stress for Strut under Uniformly Distributed Load Solution

Follow our step by step solution on how to calculate Distance of Extreme Layer from NA given Max Stress for Strut under Uniformly Distributed Load?

FIRST Step Consider the formula

c = (σb max - (\frac{P axial}{A sectional})) \cdot \frac{I}{M}

Next Step Substitute values of Variables

∴

c = (2MPa - (\frac{1500N}{1.4m²})) \cdot \frac{5600cm⁴}{16N*m}

Next Step Convert Units

∴

c = (2E+6Pa - (\frac{1500N}{1.4m²})) \cdot \frac{5.6E-5m⁴}{16N*m}

Next Step Prepare to Evaluate

∴

c = (2E+6 - (\frac{1500}{1.4})) \cdot \frac{5.6E-5}{16}

Next Step Evaluate

∴

c = 6.99625m

LAST Step Convert to Output's Unit

∴

c = 6996.25mm

Distance of Extreme Layer from NA given Max Stress for Strut under Uniformly Distributed Load 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

Maximum Bending Stress

Maximum Bending Stress is the highest stress experienced by a material subjected to a bending load.

Symbol: σb^max

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Maximum Bending Stress

Axial Thrust

Axial Thrust is the force exerted along the axis of a shaft in mechanical systems. It occurs when there is an imbalance of forces that acts in the direction parallel to the axis of rotation.

Symbol: P_axial

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Axial Thrust

Cross Sectional Area

Cross Sectional Area of Column 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 Cross Sectional Area

Moment of Inertia

Moment of Inertia is the measure of the resistance of a body 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

Maximum Bending Moment In Column

Maximum Bending Moment In Column is the highest amount of bending force that a column experiences due to applied loads, either axial or eccentric.

Symbol: M

Measurement: Moment of ForceUnit: N*m

Note: Value should be greater than 0.

Formulas to find Maximum Bending Moment In Column

Other formulas in Strut Subjected to Compressive Axial Thrust and a Transverse Uniformly Distributed Load category

Go Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load

M b = - (P axial \cdot δ) + (q f \cdot ((\frac{x^{2}}{2}) - (l column \cdot \frac{x}{2})))

Go Axial Thrust for Strut Subjected to Compressive Axial and Uniformly Distributed Load

P axial = \frac{- M b + (q f \cdot ((\frac{x^{2}}{2}) - (l column \cdot \frac{x}{2})))}{δ}

Go Deflection at Section for Strut Subjected to Compressive Axial and Uniformly Distributed Load

δ = \frac{- M b + (q f \cdot ((\frac{x^{2}}{2}) - (l column \cdot \frac{x}{2})))}{P axial}

Go Load Intensity for Strut Subjected to Compressive Axial and Uniformly Distributed Load

q f = \frac{M b + (P axial \cdot δ)}{(\frac{x^{2}}{2}) - (l column \cdot \frac{x}{2})}

How to Evaluate Distance of Extreme Layer from NA given Max Stress for Strut under Uniformly Distributed Load?

Distance of Extreme Layer from NA given Max Stress for Strut under Uniformly Distributed Load evaluator uses Distance from Neutral Axis to Extreme Point = (Maximum Bending Stress-(Axial Thrust/Cross Sectional Area))*Moment of Inertia/(Maximum Bending Moment In Column) to evaluate the Distance from Neutral Axis to Extreme Point, The Distance of Extreme Layer from NA given Max Stress for Strut under Uniformly Distributed Load formula is defined as a measure of the maximum stress a strut can withstand under compressive axial thrust and transverse uniformly distributed load, providing critical information for structural integrity and safety assessments. Distance from Neutral Axis to Extreme Point is denoted by c symbol.

How to evaluate Distance of Extreme Layer from NA given Max Stress for Strut under Uniformly Distributed Load using this online evaluator? To use this online evaluator for Distance of Extreme Layer from NA given Max Stress for Strut under Uniformly Distributed Load, enter Maximum Bending Stress (σb^max), Axial Thrust (P_axial), Cross Sectional Area (A_sectional), Moment of Inertia (I) & Maximum Bending Moment In Column (M) and hit the calculate button.

FAQs on Distance of Extreme Layer from NA given Max Stress for Strut under Uniformly Distributed Load

What is the formula to find Distance of Extreme Layer from NA given Max Stress for Strut under Uniformly Distributed Load?

The formula of Distance of Extreme Layer from NA given Max Stress for Strut under Uniformly Distributed Load is expressed as Distance from Neutral Axis to Extreme Point = (Maximum Bending Stress-(Axial Thrust/Cross Sectional Area))*Moment of Inertia/(Maximum Bending Moment In Column). Here is an example- 7E+6 = (2000000-(1500/1.4))*5.6E-05/(16).

How to calculate Distance of Extreme Layer from NA given Max Stress for Strut under Uniformly Distributed Load?

With Maximum Bending Stress (σb^max), Axial Thrust (P_axial), Cross Sectional Area (A_sectional), Moment of Inertia (I) & Maximum Bending Moment In Column (M) we can find Distance of Extreme Layer from NA given Max Stress for Strut under Uniformly Distributed Load using the formula - Distance from Neutral Axis to Extreme Point = (Maximum Bending Stress-(Axial Thrust/Cross Sectional Area))*Moment of Inertia/(Maximum Bending Moment In Column).

Can the Distance of Extreme Layer from NA given Max Stress for Strut under Uniformly Distributed Load be negative?

No, the Distance of Extreme Layer from NA given Max Stress for Strut under Uniformly Distributed Load, measured in Length cannot be negative.

Which unit is used to measure Distance of Extreme Layer from NA given Max Stress for Strut under Uniformly Distributed Load?

Distance of Extreme Layer from NA given Max Stress for Strut under Uniformly Distributed Load 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 NA given Max Stress for Strut under Uniformly Distributed Load can be measured.

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Distance of Extreme Layer from NA given Max Stress for Strut under Uniformly Distributed Load Formula

Distance of Extreme Layer from NA given Max Stress for Strut under Uniformly Distributed Load Example

Distance of Extreme Layer from NA given Max Stress for Strut under Uniformly Distributed Load Solution

Distance of Extreme Layer from NA given Max Stress for Strut under Uniformly Distributed Load Formula Elements

Other formulas in Strut Subjected to Compressive Axial Thrust and a Transverse Uniformly Distributed Load category

How to Evaluate Distance of Extreme Layer from NA given Max Stress for Strut under Uniformly Distributed Load?

FAQs on Distance of Extreme Layer from NA given Max Stress for Strut under Uniformly Distributed Load

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