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Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load Formula

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

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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. Check FAQs

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

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

Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load Example

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Here is how the Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load equation looks like with Values.

Here is how the Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load equation looks like with Units.

Here is how the Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load equation looks like.

-10427.3333 = \frac{- 16 - (0.005 \cdot \frac{5000^{2}}{8})}{1500}

-10427.3333mm = \frac{- 16N*m - (0.005MPa \cdot \frac{{5000mm}^{2}}{8})}{1500N}

-10427.3333 = \frac{- 16 - (0.005 \cdot \frac{5000^{2}}{8})}{1500}

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Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load Solution

Follow our step by step solution on how to calculate Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C = \frac{- 16N*m - (0.005MPa \cdot \frac{{5000mm}^{2}}{8})}{1500N}

Next Step Convert Units

∴

C = \frac{- 16N*m - (5000Pa \cdot \frac{{5m}^{2}}{8})}{1500N}

Next Step Prepare to Evaluate

∴

C = \frac{- 16 - (5000 \cdot \frac{5^{2}}{8})}{1500}

Next Step Evaluate

∴

C = -10.4273333333333m

Next Step Convert to Output's Unit

∴

C = -10427.3333333333mm

LAST Step Rounding Answer

∴

C = -10427.3333mm

Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load Formula Elements

Variables

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

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

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 to find Maximum Initial Deflection

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

C = (q f \cdot (ε column \cdot \frac{I}{{P axial}^{2}}) \cdot ((\sec ((\frac{l column}{2}) \cdot (\frac{P axial}{ε column \cdot I}))) - 1)) - (q f \cdot \frac{{l column}^{2}}{8 \cdot P axial})

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 Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load?

Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load evaluator uses Maximum Initial Deflection = (-Maximum Bending Moment In Column-(Load Intensity*(Column Length^2)/8))/(Axial Thrust) to evaluate the Maximum Initial Deflection, The Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load formula is defined as a measure of the maximum deformation of a strut under the combined effect of compressive axial thrust and transverse uniformly distributed load, providing insight into the strut's structural integrity and stability. Maximum Initial Deflection is denoted by C symbol.

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

FAQs on Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load

What is the formula to find Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load?

The formula of Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load is expressed as Maximum Initial Deflection = (-Maximum Bending Moment In Column-(Load Intensity*(Column Length^2)/8))/(Axial Thrust). Here is an example- -10427333.333333 = (-16-(5000*(5^2)/8))/(1500).

How to calculate Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load?

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

What are the other ways to Calculate Maximum Initial Deflection?

Here are the different ways to Calculate Maximum Initial Deflection-

Maximum Initial Deflection=(Load Intensity*(Modulus of Elasticity of Column*Moment of Inertia/(Axial Thrust^2))*((sec((Column Length/2)*(Axial Thrust/(Modulus of Elasticity of Column*Moment of Inertia))))-1))-(Load Intensity*(Column Length^2)/(8*Axial Thrust))

Can the Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load be negative?

No, the Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load, measured in Length cannot be negative.

Which unit is used to measure Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load?

Maximum Deflection given Max Bending Moment for Strut Subjected to 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 Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load can be measured.

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Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load Formula

​GoMaximum Deflection for Strut Subjected to Compressive Axial and Uniformly Distributed Load Formula

Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load Example

Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load Solution

Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load Formula Elements

Other Formulas to find Maximum Initial Deflection

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

How to Evaluate Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load?

FAQs on Maximum Deflection given Max Bending Moment for Strut Subjected to Uniformly Distributed Load

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