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Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load Formula

GoAxial Thrust for Strut Subjected to Compressive Axial and Uniformly Distributed Load Formula

GoAxial Thrust given Maximum Stress for Strut subjected to Uniformly Distributed Load Formula

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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. Check FAQs

P axial = \frac{- M - (q f \cdot \frac{{l column}^{2}}{8})}{C}

P_axial - Axial Thrust?M - Maximum Bending Moment In Column?q_f - Load Intensity?l_column - Column Length?C - Maximum Initial Deflection?

Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load Example

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Here is how the Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load equation looks like with Values.

Here is how the Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load equation looks like with Units.

Here is how the Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load equation looks like.

-521366.6667 = \frac{- 16 - (0.005 \cdot \frac{5000^{2}}{8})}{30}

-521366.6667N = \frac{- 16N*m - (0.005MPa \cdot \frac{{5000mm}^{2}}{8})}{30mm}

-521366.6667 = \frac{- 16 - (0.005 \cdot \frac{5000^{2}}{8})}{30}

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Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load Solution

Follow our step by step solution on how to calculate Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load?

FIRST Step Consider the formula

P axial = \frac{- M - (q f \cdot \frac{{l column}^{2}}{8})}{C}

Next Step Substitute values of Variables

∴

P axial = \frac{- 16N*m - (0.005MPa \cdot \frac{{5000mm}^{2}}{8})}{30mm}

Next Step Convert Units

∴

P axial = \frac{- 16N*m - (5000Pa \cdot \frac{{5m}^{2}}{8})}{0.03m}

Next Step Prepare to Evaluate

∴

P axial = \frac{- 16 - (5000 \cdot \frac{5^{2}}{8})}{0.03}

Next Step Evaluate

∴

P axial = -521366.666666667N

LAST Step Rounding Answer

∴

P axial = -521366.6667N

Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load Formula Elements

Variables

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

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

Load Intensity

Load Intensity is the distribution of load over a certain area or length of a structural element.

Symbol: q_f

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Load Intensity

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

Maximum Initial Deflection

Maximum Initial Deflection is the greatest amount of displacement or bending that occurs in a mechanical structure or component when a load is first applied.

Symbol: C

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Maximum Initial Deflection

Other Formulas to find Axial Thrust

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 Axial Thrust given Maximum Stress for Strut subjected to Uniformly Distributed Load

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

Go Axial Thrust given Elastic Modulus for Strut subjected to Uniformly Distributed Load

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

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 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})}

Go Length of Column for Strut subjected to Compressive Axial and Uniformly Distributed Load

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

How to Evaluate Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load?

Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load evaluator uses Axial Thrust = (-Maximum Bending Moment In Column-(Load Intensity*(Column Length^2)/8))/(Maximum Initial Deflection) to evaluate the Axial Thrust, The Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load formula is defined as the maximum compressive force that a strut can withstand when subjected to a uniformly distributed transverse load, taking into account the bending moment and the strut's column length. Axial Thrust is denoted by P_axial symbol.

How to evaluate Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load using this online evaluator? To use this online evaluator for Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load, enter Maximum Bending Moment In Column (M), Load Intensity (q_f), Column Length (l_column) & Maximum Initial Deflection (C) and hit the calculate button.

FAQs on Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load

What is the formula to find Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load?

The formula of Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load is expressed as Axial Thrust = (-Maximum Bending Moment In Column-(Load Intensity*(Column Length^2)/8))/(Maximum Initial Deflection). Here is an example- -521366.666667 = (-16-(5000*(5^2)/8))/(0.03).

How to calculate Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load?

With Maximum Bending Moment In Column (M), Load Intensity (q_f), Column Length (l_column) & Maximum Initial Deflection (C) we can find Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load using the formula - Axial Thrust = (-Maximum Bending Moment In Column-(Load Intensity*(Column Length^2)/8))/(Maximum Initial Deflection).

What are the other ways to Calculate Axial Thrust?

Here are the different ways to Calculate Axial Thrust-

Axial Thrust=(-Bending Moment in Column+(Load Intensity*(((Distance of Deflection from End A^2)/2)-(Column Length*Distance of Deflection from End A/2))))/Deflection at Section of Column
Axial Thrust=(Maximum Bending Stress-(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia))*Cross Sectional Area
Axial Thrust=(Maximum Bending Stress-(Maximum Bending Moment In Column/Modulus of Elasticity of Column))*Cross Sectional Area

Can the Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load be negative?

No, the Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load, measured in Force cannot be negative.

Which unit is used to measure Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load?

Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load can be measured.

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Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load Formula

​GoAxial Thrust for Strut Subjected to Compressive Axial and Uniformly Distributed Load Formula

​GoAxial Thrust given Maximum Stress for Strut subjected to Uniformly Distributed Load Formula

Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load Example

Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load Solution

Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load Formula Elements

Other Formulas to find Axial Thrust

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

How to Evaluate Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load?

FAQs on Axial Thrust given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load

Variable Name

GoAxial Thrust for Strut Subjected to Compressive Axial and Uniformly Distributed Load Formula

GoAxial Thrust given Maximum Stress for Strut subjected to Uniformly Distributed Load Formula