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Load 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

GoLoad intensity given maximum 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 = \frac{M b + (P axial \cdot δ)}{(\frac{x^{2}}{2}) - (l column \cdot \frac{x}{2})}

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

Load intensity for strut subjected to compressive axial and uniformly distributed load Example

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Here is how the Load intensity for strut subjected to compressive axial and uniformly distributed load equation looks like with Values.

Here is how the Load intensity for strut subjected to compressive axial and uniformly distributed load equation looks like with Units.

Here is how the Load intensity for strut subjected to compressive axial and uniformly distributed load equation looks like.

-0.0008 = \frac{48 + (1500 \cdot 12)}{(\frac{35^{2}}{2}) - (5000 \cdot \frac{35}{2})}

-0.0008MPa = \frac{48N*m + (1500N \cdot 12mm)}{(\frac{{35mm}^{2}}{2}) - (5000mm \cdot \frac{35mm}{2})}

-0.0008 = \frac{48 + (1500 \cdot 12)}{(\frac{35^{2}}{2}) - (5000 \cdot \frac{35}{2})}

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Load intensity for strut subjected to compressive axial and uniformly distributed load Solution

Follow our step by step solution on how to calculate Load intensity for strut subjected to compressive axial and uniformly distributed load?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

q f = \frac{48N*m + (1500N \cdot 12mm)}{(\frac{{35mm}^{2}}{2}) - (5000mm \cdot \frac{35mm}{2})}

Next Step Convert Units

∴

q f = \frac{48N*m + (1500N \cdot 0.012m)}{(\frac{{0.035m}^{2}}{2}) - (5m \cdot \frac{0.035m}{2})}

Next Step Prepare to Evaluate

∴

q f = \frac{48 + (1500 \cdot 0.012)}{(\frac{{0.035}^{2}}{2}) - (5 \cdot \frac{0.035}{2})}

Next Step Evaluate

∴

q f = -759.602934829521Pa

Next Step Convert to Output's Unit

∴

q f = -0.000759602934829521MPa

LAST Step Rounding Answer

∴

q f = -0.0008MPa

Load intensity for strut subjected to compressive axial and 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

Bending Moment in Column

Bending Moment in Column is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.

Symbol: M_b

Measurement: Moment of ForceUnit: N*m

Note: Value can be positive or negative.

Formulas to find Bending Moment in Column

Axial Thrust

The Axial Thrust is the resultant force of all the axial forces (F) acting on the object or material.

Symbol: P_axial

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Axial Thrust

Deflection at Section

Deflection at Section 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

Distance of deflection from end A

Distance of deflection from end A is the distance x of deflection from 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 can be positive or negative.

Formulas to find Column Length

Other Formulas to find Load Intensity

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 maximum bending moment for strut subjected to uniformly distributed load

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

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 for strut subjected to compressive axial and uniformly distributed load?

Load intensity for strut subjected to compressive axial and uniformly distributed load evaluator uses Load Intensity = (Bending Moment in Column+(Axial Thrust*Deflection at Section))/(((Distance of deflection from end A^2)/2)-(Column Length*Distance of deflection from end A/2)) to evaluate the Load Intensity, Load intensity for strut subjected to compressive axial and uniformly distributed load formula is defined as the maximum weight or force that a strut can withstand without collapsing or deforming, taking into account the compressive axial force and the uniformly distributed load applied to it. Load Intensity is denoted by q_f symbol.

How to evaluate Load intensity for strut subjected to compressive axial and uniformly distributed load using this online evaluator? To use this online evaluator for Load intensity for strut subjected to compressive axial and uniformly distributed load, enter Bending Moment in Column (M_b), Axial Thrust (P_axial), Deflection at Section (δ), Distance of deflection from end A (x) & Column Length (l_column) and hit the calculate button.

FAQs on Load intensity for strut subjected to compressive axial and uniformly distributed load

What is the formula to find Load intensity for strut subjected to compressive axial and uniformly distributed load?

The formula of Load intensity for strut subjected to compressive axial and uniformly distributed load is expressed as Load Intensity = (Bending Moment in Column+(Axial Thrust*Deflection at Section))/(((Distance of deflection from end A^2)/2)-(Column Length*Distance of deflection from end A/2)). Here is an example- -7.6E-10 = (48+(1500*0.012))/(((0.035^2)/2)-(5*0.035/2)).

How to calculate Load intensity for strut subjected to compressive axial and uniformly distributed load?

With Bending Moment in Column (M_b), Axial Thrust (P_axial), Deflection at Section (δ), Distance of deflection from end A (x) & Column Length (l_column) we can find Load intensity for strut subjected to compressive axial and uniformly distributed load using the formula - Load Intensity = (Bending Moment in Column+(Axial Thrust*Deflection at Section))/(((Distance of deflection from end A^2)/2)-(Column Length*Distance of deflection from end A/2)).

What are the other ways to Calculate Load Intensity?

Here are the different ways to Calculate Load Intensity-

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=(-(Axial Thrust*Maximum Initial Deflection)-Maximum Bending Moment In Column)*8/((Column Length^2))
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 for strut subjected to compressive axial and uniformly distributed load be negative?

Yes, the Load intensity for strut subjected to compressive axial and uniformly distributed load, measured in Pressure can be negative.

Which unit is used to measure Load intensity for strut subjected to compressive axial and uniformly distributed load?

Load intensity for strut subjected to compressive axial and 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 for strut subjected to compressive axial and uniformly distributed load can be measured.

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Load 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

​GoLoad intensity given maximum bending moment for strut subjected to uniformly distributed load Formula

Load intensity for strut subjected to compressive axial and uniformly distributed load Example

Load intensity for strut subjected to compressive axial and uniformly distributed load Solution

Load intensity for strut subjected to compressive axial and 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 for strut subjected to compressive axial and uniformly distributed load?

FAQs on Load intensity for strut subjected to compressive axial and uniformly distributed load

Variable Name

GoLoad intensity given max bending moment for strut subjected to uniformly distributed load Formula

GoLoad intensity given maximum bending moment for strut subjected to uniformly distributed load Formula