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Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load Formula

GoMaximum Stress given Elastic Modulus for Strut Subjected to Uniformly Distributed Load Formula

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Maximum Bending Stress is the highest stress experienced by a material subjected to a bending load. Check FAQs

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

σb^max - Maximum Bending Stress?P_axial - Axial Thrust?A_sectional - Cross Sectional Area?M - Maximum Bending Moment In Column?c - Distance from Neutral Axis to Extreme Point?I - Moment of Inertia?

Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load Example

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

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

Here is how the Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load equation looks like.

0.0039 = (\frac{1500}{1.4}) + (16 \cdot \frac{10}{5600})

0.0039MPa = (\frac{1500N}{1.4m²}) + (16N*m \cdot \frac{10mm}{5600cm⁴})

0.0039 = (\frac{1500}{1.4}) + (16 \cdot \frac{10}{5600})

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Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load Solution

Follow our step by step solution on how to calculate Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σb max = (\frac{1500N}{1.4m²}) + (16N*m \cdot \frac{10mm}{5600cm⁴})

Next Step Convert Units

∴

σb max = (\frac{1500N}{1.4m²}) + (16N*m \cdot \frac{0.01m}{5.6E-5m⁴})

Next Step Prepare to Evaluate

∴

σb max = (\frac{1500}{1.4}) + (16 \cdot \frac{0.01}{5.6E-5})

Next Step Evaluate

∴

σb max = 3928.57142857143Pa

Next Step Convert to Output's Unit

∴

σb max = 0.00392857142857143MPa

LAST Step Rounding Answer

∴

σb max = 0.0039MPa

Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load Formula Elements

Variables

Maximum Bending Stress

Maximum Bending Stress is the highest stress experienced by a material subjected to a bending load.

Symbol: σb^max

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Maximum Bending Stress

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

Cross Sectional Area

Cross Sectional Area of Column is the area of a column that is obtained when a column is sliced perpendicular to some specified axis at a point.

Symbol: A_sectional

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area

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

Distance from Neutral Axis to Extreme Point

Distance from Neutral Axis to Extreme Point is the distance between the neutral axis and the extreme point.

Symbol: c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Neutral Axis to Extreme Point

Moment of Inertia

Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.

Symbol: I

Measurement: Second Moment of AreaUnit: cm⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia

Other Formulas to find Maximum Bending Stress

Go Maximum Stress given Elastic Modulus for Strut Subjected to Uniformly Distributed Load

σb max = (\frac{P axial}{A sectional}) + (\frac{M}{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 Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load?

Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load evaluator uses Maximum Bending Stress = (Axial Thrust/Cross Sectional Area)+(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia) to evaluate the Maximum Bending Stress, The Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load formula is defined as the maximum stress experienced by a strut when it is subjected to both compressive axial thrust and a transverse uniformly distributed load, providing a critical value for structural integrity assessment. Maximum Bending Stress is denoted by σb^max symbol.

How to evaluate Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load using this online evaluator? To use this online evaluator for Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load, enter Axial Thrust (P_axial), Cross Sectional Area (A_sectional), Maximum Bending Moment In Column (M), Distance from Neutral Axis to Extreme Point (c) & Moment of Inertia (I) and hit the calculate button.

FAQs on Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load

What is the formula to find Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load?

The formula of Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load is expressed as Maximum Bending Stress = (Axial Thrust/Cross Sectional Area)+(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia). Here is an example- 3.9E-9 = (1500/1.4)+(16*0.01/5.6E-05).

How to calculate Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load?

With Axial Thrust (P_axial), Cross Sectional Area (A_sectional), Maximum Bending Moment In Column (M), Distance from Neutral Axis to Extreme Point (c) & Moment of Inertia (I) we can find Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load using the formula - Maximum Bending Stress = (Axial Thrust/Cross Sectional Area)+(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia).

What are the other ways to Calculate Maximum Bending Stress?

Here are the different ways to Calculate Maximum Bending Stress-

Maximum Bending Stress=(Axial Thrust/Cross Sectional Area)+(Maximum Bending Moment In Column/Modulus of Elasticity of Column)

Can the Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load be negative?

No, the Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load, measured in Pressure cannot be negative.

Which unit is used to measure Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load?

Maximum Stress 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 Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load can be measured.

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Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load Formula

​GoMaximum Stress given Elastic Modulus for Strut Subjected to Uniformly Distributed Load Formula

Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load Example

Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load Solution

Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load Formula Elements

Other Formulas to find Maximum Bending Stress

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

How to Evaluate Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load?

FAQs on Maximum Stress for Strut Subjected to Compressive Axial and Uniformly Distributed Load

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GoMaximum Stress given Elastic Modulus for Strut Subjected to Uniformly Distributed Load Formula