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

GoLoad Intensity for Strut Subjected to Compressive Axial and Uniformly Distributed Load Formula

GoLoad Intensity given Max Bending Moment for Strut Subjected to Uniformly Distributed Load Formula

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Load Intensity is the distribution of load over a certain area or length of a structural element. Check FAQs

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

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

Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load Example

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

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

Here is how the Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load equation looks like.

-2E-5 = (- (1500 \cdot 30) - 16) \cdot \frac{8}{(5000^{2})}

-2E-5MPa = (- (1500N \cdot 30mm) - 16N*m) \cdot \frac{8}{({5000mm}^{2})}

-2E-5 = (- (1500 \cdot 30) - 16) \cdot \frac{8}{(5000^{2})}

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Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load Solution

Follow our step by step solution on how to calculate Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

q f = (- (1500N \cdot 30mm) - 16N*m) \cdot \frac{8}{({5000mm}^{2})}

Next Step Convert Units

∴

q f = (- (1500N \cdot 0.03m) - 16N*m) \cdot \frac{8}{({5m}^{2})}

Next Step Prepare to Evaluate

∴

q f = (- (1500 \cdot 0.03) - 16) \cdot \frac{8}{(5^{2})}

Next Step Evaluate

∴

q f = -19.52Pa

Next Step Convert to Output's Unit

∴

q f = -1.952E-05MPa

LAST Step Rounding Answer

∴

q f = -2E-5MPa

Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load Formula Elements

Variables

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

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

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

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 Load Intensity

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 Load Intensity given Max Bending Moment for Strut Subjected to Uniformly Distributed Load

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

Go Load Intensity given Max Deflection for Strut Subjected to Uniformly Distributed Load

q f = \frac{C}{(1 \cdot (ε column \cdot \frac{I}{{P axial}^{2}}) \cdot ((\sec ((\frac{l column}{2}) \cdot (\frac{P axial}{ε column \cdot I}))) - 1)) - (1 \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 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 Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load?

Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load evaluator uses Load Intensity = (-(Axial Thrust*Maximum Initial Deflection)-Maximum Bending Moment In Column)*8/((Column Length^2)) to evaluate the Load Intensity, The Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load formula is defined as a measure of the maximum load that a strut can withstand without failing, considering the compressive axial thrust and transverse uniformly distributed load, providing a critical value for structural integrity and safety assessments. Load Intensity is denoted by q_f symbol.

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

FAQs on Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load

What is the formula to find Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load?

The formula of Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load is expressed as Load Intensity = (-(Axial Thrust*Maximum Initial Deflection)-Maximum Bending Moment In Column)*8/((Column Length^2)). Here is an example- -2E-11 = (-(1500*0.03)-16)*8/((5^2)).

How to calculate Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load?

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

What are the other ways to Calculate Load Intensity?

Here are the different ways to Calculate Load Intensity-

Load Intensity=(Bending Moment in Column+(Axial Thrust*Deflection at Section of Column))/(((Distance of Deflection from End A^2)/2)-(Column Length*Distance of Deflection from End A/2))
Load Intensity=Maximum Bending Moment In Column/(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)
Load Intensity=Maximum Initial Deflection/((1*(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))-(1*(Column Length^2)/(8*Axial Thrust)))

Can the Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load be negative?

Yes, the Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load, measured in Pressure can be negative.

Which unit is used to measure Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load?

Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load can be measured.

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

​GoLoad Intensity for Strut Subjected to Compressive Axial and Uniformly Distributed Load Formula

​GoLoad Intensity given Max Bending Moment for Strut Subjected to Uniformly Distributed Load Formula

Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load Example

Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load Solution

Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load Formula Elements

Other Formulas to find Load Intensity

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

How to Evaluate Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load?

FAQs on Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load

Variable Name

GoLoad Intensity for Strut Subjected to Compressive Axial and Uniformly Distributed Load Formula

GoLoad Intensity given Max Bending Moment for Strut Subjected to Uniformly Distributed Load Formula