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

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

GoMaximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load Formula

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Maximum Bending Moment In Column is the highest amount of bending force that a column experiences due to applied loads, either axial or eccentric. Check FAQs

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

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

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

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

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

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

-15670 = - (1500 \cdot 30) - (0.005 \cdot \frac{5000^{2}}{8})

-15670N*m = - (1500N \cdot 30mm) - (0.005MPa \cdot \frac{{5000mm}^{2}}{8})

-15670 = - (1500 \cdot 30) - (0.005 \cdot \frac{5000^{2}}{8})

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

M = - (1500N \cdot 30mm) - (0.005MPa \cdot \frac{{5000mm}^{2}}{8})

Next Step Convert Units

∴

M = - (1500N \cdot 0.03m) - (5000Pa \cdot \frac{{5m}^{2}}{8})

Next Step Prepare to Evaluate

∴

M = - (1500 \cdot 0.03) - (5000 \cdot \frac{5^{2}}{8})

LAST Step Evaluate

∴

M = -15670N*m

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

Variables

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

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 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

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

Other Formulas to find Maximum Bending Moment In Column

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

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

Go Maximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load

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

Go Maximum Bending Moment given Elastic Modulus for Strut subjected to Uniformly Distributed Load

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

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

Maximum Bending Moment given Max Deflection for Strut Subjected to Uniformly Distributed Load evaluator uses Maximum Bending Moment In Column = -(Axial Thrust*Maximum Initial Deflection)-(Load Intensity*(Column Length^2)/8) to evaluate the Maximum Bending Moment In Column, The Maximum Bending Moment given Max Deflection for Strut Subjected to Uniformly Distributed Load formula is defined as a measure of the maximum bending stress that occurs in a strut when it is subjected to both compressive axial thrust and a transverse uniformly distributed load, providing insight into the strut's structural integrity. Maximum Bending Moment In Column is denoted by M symbol.

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

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

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

The formula of Maximum Bending Moment given Max Deflection for Strut Subjected to Uniformly Distributed Load is expressed as Maximum Bending Moment In Column = -(Axial Thrust*Maximum Initial Deflection)-(Load Intensity*(Column Length^2)/8). Here is an example- -15670 = -(1500*0.03)-(5000*(5^2)/8).

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

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

What are the other ways to Calculate Maximum Bending Moment In Column?

Here are the different ways to Calculate Maximum Bending Moment In Column-

Maximum Bending Moment In Column=-Load Intensity*(Modulus of Elasticity of Column*Moment of Inertia/Axial Thrust)*((sec((Column Length/2)*(Axial Thrust/(Modulus of Elasticity of Column*Moment of Inertia))))-1)
Maximum Bending Moment In Column=(Maximum Bending Stress-(Axial Thrust/Cross Sectional Area))*Moment of Inertia/(Distance from Neutral Axis to Extreme Point)
Maximum Bending Moment In Column=(Maximum Bending Stress-(Axial Thrust/Cross Sectional Area))*Modulus of Elasticity of Column

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

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

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

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

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

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

​GoMaximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load Formula

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

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

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

Other Formulas to find Maximum Bending Moment In Column

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

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

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

Variable Name

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

GoMaximum Bending Moment given Max Stress for Strut Subjected to Uniformly Distributed Load Formula