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

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

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

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

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

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

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

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

-321.625 = \frac{- 48 + (0.005 \cdot ((\frac{35^{2}}{2}) - (5000 \cdot \frac{35}{2})))}{1500}

-321.625mm = \frac{- 48N*m + (0.005MPa \cdot ((\frac{{35mm}^{2}}{2}) - (5000mm \cdot \frac{35mm}{2})))}{1500N}

-321.625 = \frac{- 48 + (0.005 \cdot ((\frac{35^{2}}{2}) - (5000 \cdot \frac{35}{2})))}{1500}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

δ = \frac{- 48N*m + (0.005MPa \cdot ((\frac{{35mm}^{2}}{2}) - (5000mm \cdot \frac{35mm}{2})))}{1500N}

Next Step Convert Units

∴

δ = \frac{- 48N*m + (5000Pa \cdot ((\frac{{0.035m}^{2}}{2}) - (5m \cdot \frac{0.035m}{2})))}{1500N}

Next Step Prepare to Evaluate

∴

δ = \frac{- 48 + (5000 \cdot ((\frac{{0.035}^{2}}{2}) - (5 \cdot \frac{0.035}{2})))}{1500}

Next Step Evaluate

∴

δ = -0.321625m

LAST Step Convert to Output's Unit

∴

δ = -321.625mm

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

Variables

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

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

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

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

Deflection at Section for Strut Subjected to Compressive Axial and Uniformly Distributed Load evaluator uses Deflection at Section of Column = (-Bending Moment in Column+(Load Intensity*(((Distance of Deflection from End A^2)/2)-(Column Length*Distance of Deflection from End A/2))))/Axial Thrust to evaluate the Deflection at Section of Column, The Deflection at Section for Strut Subjected to Compressive Axial and Uniformly Distributed Load formula is defined as a measure of the lateral displacement of a strut under the combined effect of axial compressive force and uniformly distributed transverse load, providing insight into the strut's behavior and stability. Deflection at Section of Column is denoted by δ symbol.

How to evaluate Deflection at Section for Strut Subjected to Compressive Axial and Uniformly Distributed Load using this online evaluator? To use this online evaluator for Deflection at Section 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) & Axial Thrust (P_axial) and hit the calculate button.

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

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

The formula of Deflection at Section for Strut Subjected to Compressive Axial and Uniformly Distributed Load is expressed as Deflection at Section of Column = (-Bending Moment in Column+(Load Intensity*(((Distance of Deflection from End A^2)/2)-(Column Length*Distance of Deflection from End A/2))))/Axial Thrust. Here is an example- -321625 = (-48+(5000*(((0.035^2)/2)-(5*0.035/2))))/1500.

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

Can the Deflection at Section for Strut Subjected to Compressive Axial and Uniformly Distributed Load be negative?

Yes, the Deflection at Section for Strut Subjected to Compressive Axial and Uniformly Distributed Load, measured in Length can be negative.

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

Deflection at Section for Strut Subjected to Compressive Axial and 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 Deflection at Section for Strut Subjected to Compressive Axial and Uniformly Distributed Load can be measured.

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

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

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

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

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

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