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Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load Formula

GoCross-Sectional Area given Elastic Modulus for Strut subjected to Uniformly Distributed Load Formula

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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. Check FAQs

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

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

Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load Example

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Here is how the Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load equation looks like with Values.

Here is how the Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load equation looks like with Units.

Here is how the Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load equation looks like.

0.0008 = \frac{1500}{2 - (16 \cdot \frac{10}{5600})}

0.0008m² = \frac{1500N}{2MPa - (16N*m \cdot \frac{10mm}{5600cm⁴})}

0.0008 = \frac{1500}{2 - (16 \cdot \frac{10}{5600})}

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Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load Solution

Follow our step by step solution on how to calculate Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A sectional = \frac{1500N}{2MPa - (16N*m \cdot \frac{10mm}{5600cm⁴})}

Next Step Convert Units

∴

A sectional = \frac{1500N}{2E+6Pa - (16N*m \cdot \frac{0.01m}{5.6E-5m⁴})}

Next Step Prepare to Evaluate

∴

A sectional = \frac{1500}{2E+6 - (16 \cdot \frac{0.01}{5.6E-5})}

Next Step Evaluate

∴

A sectional = 0.000751072961373391m²

LAST Step Rounding Answer

∴

A sectional = 0.0008m²

Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load Formula Elements

Variables

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

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 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

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 Cross Sectional Area

Go Cross-Sectional Area given Elastic Modulus for Strut subjected to Uniformly Distributed Load

A sectional = \frac{P axial}{σb max - (\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 Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load?

Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load evaluator uses Cross Sectional Area = Axial Thrust/(Maximum Bending Stress-(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia)) to evaluate the Cross Sectional Area, The Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load formula is defined as a measure of the maximum stress a strut can withstand under a combination of axial compressive thrust and transverse uniformly distributed load, providing a critical value for structural integrity and safety assessments. Cross Sectional Area is denoted by A_sectional symbol.

How to evaluate Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load using this online evaluator? To use this online evaluator for Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load, enter Axial Thrust (P_axial), Maximum Bending Stress (σb^max), 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 Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load

What is the formula to find Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load?

The formula of Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load is expressed as Cross Sectional Area = Axial Thrust/(Maximum Bending Stress-(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia)). Here is an example- 0.000751 = 1500/(2000000-(16*0.01/5.6E-05)).

How to calculate Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load?

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

What are the other ways to Calculate Cross Sectional Area?

Here are the different ways to Calculate Cross Sectional Area-

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

Can the Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load be negative?

No, the Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load, measured in Area cannot be negative.

Which unit is used to measure Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load?

Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load can be measured.

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Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load Formula

​GoCross-Sectional Area given Elastic Modulus for Strut subjected to Uniformly Distributed Load Formula

Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load Example

Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load Solution

Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load Formula Elements

Other Formulas to find Cross Sectional Area

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

How to Evaluate Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load?

FAQs on Cross-Sectional Area given Maximum Stress for Strut Subjected to Uniformly Distributed Load

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GoCross-Sectional Area given Elastic Modulus for Strut subjected to Uniformly Distributed Load Formula