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

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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. Check FAQs

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

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

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

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Here is how the Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load equation looks like with Values.

Here is how the Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load equation looks like with Units.

Here is how the Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load equation looks like.

-452.4375 = - (1500 \cdot 12) + (0.005 \cdot ((\frac{35^{2}}{2}) - (5000 \cdot \frac{35}{2})))

-452.4375N*m = - (1500N \cdot 12mm) + (0.005MPa \cdot ((\frac{{35mm}^{2}}{2}) - (5000mm \cdot \frac{35mm}{2})))

-452.4375 = - (1500 \cdot 12) + (0.005 \cdot ((\frac{35^{2}}{2}) - (5000 \cdot \frac{35}{2})))

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

Follow our step by step solution on how to calculate Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

M b = - (1500N \cdot 12mm) + (0.005MPa \cdot ((\frac{{35mm}^{2}}{2}) - (5000mm \cdot \frac{35mm}{2})))

Next Step Convert Units

∴

M b = - (1500N \cdot 0.012m) + (5000Pa \cdot ((\frac{{0.035m}^{2}}{2}) - (5m \cdot \frac{0.035m}{2})))

Next Step Prepare to Evaluate

∴

M b = - (1500 \cdot 0.012) + (5000 \cdot ((\frac{{0.035}^{2}}{2}) - (5 \cdot \frac{0.035}{2})))

LAST Step Evaluate

∴

M b = -452.4375N*m

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

Variables

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

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

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

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

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

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})}

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

Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load evaluator uses Bending Moment in Column = -(Axial Thrust*Deflection at Section of Column)+(Load Intensity*(((Distance of Deflection from End A^2)/2)-(Column Length*Distance of Deflection from End A/2))) to evaluate the Bending Moment in Column, The Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load formula is defined as the maximum turning force that occurs at a specific point on a strut when it is subjected to both compressive axial thrust and a transverse uniformly distributed load, causing the strut to bend. Bending Moment in Column is denoted by M_b symbol.

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

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

What is the formula to find Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load?

The formula of Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load is expressed as Bending Moment in Column = -(Axial Thrust*Deflection at Section of Column)+(Load Intensity*(((Distance of Deflection from End A^2)/2)-(Column Length*Distance of Deflection from End A/2))). Here is an example- -452.4375 = -(1500*0.012)+(5000*(((0.035^2)/2)-(5*0.035/2))).

How to calculate Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load?

With Axial Thrust (P_axial), Deflection at Section of Column (δ), Load Intensity (q_f), Distance of Deflection from End A (x) & Column Length (l_column) we can find Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load using the formula - Bending Moment in Column = -(Axial Thrust*Deflection at Section of Column)+(Load Intensity*(((Distance of Deflection from End A^2)/2)-(Column Length*Distance of Deflection from End A/2))).

Can the Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load be negative?

No, the Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load, measured in Moment of Force cannot be negative.

Which unit is used to measure Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load?

Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load is usually measured using the Newton Meter[N*m] for Moment of Force. Kilonewton Meter[N*m], Millinewton Meter[N*m], Micronewton Meter[N*m] are the few other units in which Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load can be measured.

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

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

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

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

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

How to Evaluate Bending Moment at Section for Strut subjected to Compressive Axial and Uniformly Distributed Load?

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

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