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

GoAxial Thrust given Maximum Bending Moment for Strut subjected to 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 b + (q f \cdot ((\frac{x^{2}}{2}) - (l column \cdot \frac{x}{2})))}{δ}

P_axial - Axial Thrust?M_b - Bending Moment in Column?q_f - Load Intensity?x - Distance of Deflection from End A?l_column - Column Length?δ - Deflection at Section of Column?

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

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Here is how the Axial Thrust for Strut Subjected to Compressive Axial and Uniformly Distributed Load equation looks like with Values.

Here is how the Axial Thrust for Strut Subjected to Compressive Axial and Uniformly Distributed Load equation looks like with Units.

Here is how the Axial Thrust for Strut Subjected to Compressive Axial and Uniformly Distributed Load equation looks like.

-40203.125 = \frac{- 48 + (0.005 \cdot ((\frac{35^{2}}{2}) - (5000 \cdot \frac{35}{2})))}{12}

-40203.125N = \frac{- 48N*m + (0.005MPa \cdot ((\frac{{35mm}^{2}}{2}) - (5000mm \cdot \frac{35mm}{2})))}{12mm}

-40203.125 = \frac{- 48 + (0.005 \cdot ((\frac{35^{2}}{2}) - (5000 \cdot \frac{35}{2})))}{12}

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

Follow our step by step solution on how to calculate Axial Thrust for Strut Subjected to Compressive Axial and Uniformly Distributed Load?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P axial = \frac{- 48N*m + (0.005MPa \cdot ((\frac{{35mm}^{2}}{2}) - (5000mm \cdot \frac{35mm}{2})))}{12mm}

Next Step Convert Units

∴

P axial = \frac{- 48N*m + (5000Pa \cdot ((\frac{{0.035m}^{2}}{2}) - (5m \cdot \frac{0.035m}{2})))}{0.012m}

Next Step Prepare to Evaluate

∴

P axial = \frac{- 48 + (5000 \cdot ((\frac{{0.035}^{2}}{2}) - (5 \cdot \frac{0.035}{2})))}{0.012}

LAST Step Evaluate

∴

P axial = -40203.125N

Axial Thrust for Strut Subjected to Compressive Axial and 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

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 column, causing it 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

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

Distance of Deflection from End A

Distance of Deflection from End A is the distance at which the deflection occurs in a beam or column, measured from one end of the beam, designated as End A.

Symbol: x

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance of Deflection from End A

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

Deflection at Section of Column

Deflection at Section of Column is the lateral displacement at the section of the column.

Symbol: δ

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Deflection at Section of Column

Other Formulas to find Axial Thrust

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

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

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 for Strut Subjected to Compressive Axial and Uniformly Distributed Load?

Axial Thrust for Strut Subjected to Compressive Axial and Uniformly Distributed Load evaluator uses 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 to evaluate the Axial Thrust, The Axial Thrust for Strut Subjected to Compressive Axial and Uniformly Distributed Load formula is defined as the measure of the total axial force experienced by a strut when it is subjected to both compressive axial load and a transverse uniformly distributed load, providing insight into the strut's behavior under combined loading conditions. Axial Thrust is denoted by P_axial symbol.

How to evaluate Axial Thrust for Strut Subjected to Compressive Axial and Uniformly Distributed Load using this online evaluator? To use this online evaluator for Axial Thrust for Strut Subjected to Compressive Axial and Uniformly Distributed Load, enter Bending Moment in Column (M_b), Load Intensity (q_f), Distance of Deflection from End A (x), Column Length (l_column) & Deflection at Section of Column (δ) and hit the calculate button.

FAQs on Axial Thrust for Strut Subjected to Compressive Axial and Uniformly Distributed Load

What is the formula to find Axial Thrust for Strut Subjected to Compressive Axial and Uniformly Distributed Load?

The formula of Axial Thrust for Strut Subjected to Compressive Axial and Uniformly Distributed Load is expressed as 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. Here is an example- -40203.125 = (-48+(5000*(((0.035^2)/2)-(5*0.035/2))))/0.012.

How to calculate Axial Thrust for Strut Subjected to Compressive Axial and Uniformly Distributed Load?

With Bending Moment in Column (M_b), Load Intensity (q_f), Distance of Deflection from End A (x), Column Length (l_column) & Deflection at Section of Column (δ) we can find Axial Thrust for Strut Subjected to Compressive Axial and Uniformly Distributed Load using the formula - 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.

What are the other ways to Calculate Axial Thrust?

Here are the different ways to Calculate Axial Thrust-

Axial Thrust=(-Maximum Bending Moment In Column-(Load Intensity*(Column Length^2)/8))/(Maximum Initial Deflection)
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 for Strut Subjected to Compressive Axial and Uniformly Distributed Load be negative?

No, the Axial Thrust for Strut Subjected to Compressive Axial and Uniformly Distributed Load, measured in Force cannot be negative.

Which unit is used to measure Axial Thrust for Strut Subjected to Compressive Axial and Uniformly Distributed Load?

Axial Thrust for Strut Subjected to Compressive Axial and 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 for Strut Subjected to Compressive Axial and Uniformly Distributed Load can be measured.

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

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

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

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

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

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

FAQs on Axial Thrust for Strut Subjected to Compressive Axial and Uniformly Distributed Load

Variable Name

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

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