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Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load Formula

GoCross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load Formula

GoCross-Sectional Area given Maximum Stress induced for Strut with Axial and Point Load Formula

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Column Cross Sectional Area 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{M b \cdot c}{σ b \cdot (k^{2})}

A_sectional - Column Cross Sectional Area?M_b - Bending Moment in Column?c - Distance from Neutral Axis to Extreme Point?σ_b - Bending Stress in Column?k - Least Radius of Gyration of Column?

Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load Example

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Here is how the Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load equation looks like with Values.

Here is how the Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load equation looks like with Units.

Here is how the Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load equation looks like.

1.4 = \frac{48 \cdot 10}{0.04 \cdot ({2.9277}^{2})}

1.4m² = \frac{48N*m \cdot 10mm}{0.04MPa \cdot ({2.9277mm}^{2})}

1.4 = \frac{48 \cdot 10}{0.04 \cdot ({2.9277}^{2})}

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Strength of Materials » fx Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load

Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load Solution

Follow our step by step solution on how to calculate Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load?

FIRST Step Consider the formula

A sectional = \frac{M b \cdot c}{σ b \cdot (k^{2})}

Next Step Substitute values of Variables

∴

A sectional = \frac{48N*m \cdot 10mm}{0.04MPa \cdot ({2.9277mm}^{2})}

Next Step Convert Units

∴

A sectional = \frac{48N*m \cdot 0.01m}{40000Pa \cdot ({0.0029m}^{2})}

Next Step Prepare to Evaluate

∴

A sectional = \frac{48 \cdot 0.01}{40000 \cdot ({0.0029}^{2})}

Next Step Evaluate

∴

A sectional = 1.40000020930003m²

LAST Step Rounding Answer

∴

A sectional = 1.4m²

Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load Formula Elements

Variables

Column Cross Sectional Area

Column Cross Sectional Area 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 Column Cross Sectional Area

Bending Moment in Column

Bending Moment in Column is the reaction induced in a column 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 should be greater than 0.

Formulas to find 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

Bending Stress in Column

Bending Stress in Column is the normal stress that is induced at a point in a column subjected to loads that cause it to bend.

Symbol: σ_b

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Bending Stress in Column

Least Radius of Gyration of Column

Least Radius of Gyration of Column is a measure of the distribution of its cross-sectional area around its centroidal axis.

Symbol: k

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Least Radius of Gyration of Column

Other Formulas to find Column Cross Sectional Area

Go Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load

A sectional = \frac{M max \cdot c}{(k^{2}) \cdot σb max}

Go Cross-Sectional Area given Maximum Stress induced for Strut with Axial and Point Load

A sectional = (\frac{P compressive}{σb max}) + ((W p \cdot ((\frac{\sqrt{I \cdot \frac{ε column}{P compressive}}}{2 \cdot P compressive}) \cdot \tan ((\frac{l column}{2}) \cdot (\sqrt{\frac{P compressive}{I \cdot \frac{ε column}{P compressive}}})))) \cdot \frac{c}{σb max \cdot (k^{2})})

Other formulas in Strut Subjected to Compressive Axial Thrust and a Transverse Point Load at the Centre category

Go Bending Moment at Section for Strut with Axial and Transverse Point Load at Center

M b = - (P compressive \cdot δ) - (W p \cdot \frac{x}{2})

Go Compressive Axial Load for Strut with Axial and Transverse Point Load at Center

P compressive = - \frac{M b + (W p \cdot \frac{x}{2})}{δ}

Go Deflection at Section for Strut with Axial and Transverse Point Load at Center

δ = P compressive - \frac{M b + (W p \cdot \frac{x}{2})}{P compressive}

Go Transverse Point Load for Strut with Axial and Transverse Point Load at Center

W p = (- M b - (P compressive \cdot δ)) \cdot \frac{2}{x}

How to Evaluate Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load?

Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load evaluator uses Column Cross Sectional Area = (Bending Moment in Column*Distance from Neutral Axis to Extreme Point)/(Bending Stress in Column*(Least Radius of Gyration of Column^2)) to evaluate the Column Cross Sectional Area, The Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load formula is defined as a measure of the strut's ability to resist deformation under the combined effect of axial compressive thrust and transverse point load, providing a critical design parameter for structural integrity. Column Cross Sectional Area is denoted by A_sectional symbol.

How to evaluate Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load using this online evaluator? To use this online evaluator for Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load, enter Bending Moment in Column (M_b), Distance from Neutral Axis to Extreme Point (c), Bending Stress in Column (σ_b) & Least Radius of Gyration of Column (k) and hit the calculate button.

FAQs on Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load

What is the formula to find Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load?

The formula of Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load is expressed as Column Cross Sectional Area = (Bending Moment in Column*Distance from Neutral Axis to Extreme Point)/(Bending Stress in Column*(Least Radius of Gyration of Column^2)). Here is an example- 0.005428 = (48*0.01)/(40000*(0.0029277^2)).

How to calculate Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load?

With Bending Moment in Column (M_b), Distance from Neutral Axis to Extreme Point (c), Bending Stress in Column (σ_b) & Least Radius of Gyration of Column (k) we can find Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load using the formula - Column Cross Sectional Area = (Bending Moment in Column*Distance from Neutral Axis to Extreme Point)/(Bending Stress in Column*(Least Radius of Gyration of Column^2)).

What are the other ways to Calculate Column Cross Sectional Area?

Here are the different ways to Calculate Column Cross Sectional Area-

Column Cross Sectional Area=(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point)/((Least Radius of Gyration of Column^2)*Maximum Bending Stress)
Column Cross Sectional Area=(Column Compressive Load/Maximum Bending Stress)+((Greatest Safe Load*(((sqrt(Moment of Inertia in Column*Modulus of Elasticity/Column Compressive Load))/(2*Column Compressive Load))*tan((Column Length/2)*(sqrt(Column Compressive Load/(Moment of Inertia in Column*Modulus of Elasticity/Column Compressive Load))))))*(Distance from Neutral Axis to Extreme Point)/(Maximum Bending Stress*(Least Radius of Gyration of Column^2)))

Can the Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load be negative?

No, the Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load, measured in Area cannot be negative.

Which unit is used to measure Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load?

Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point 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 Bending Stress for Strut with Axial and Transverse Point Load can be measured.

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Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load Formula

​GoCross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load Formula

​GoCross-Sectional Area given Maximum Stress induced for Strut with Axial and Point Load Formula

Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load Example

Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load Solution

Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load Formula Elements

Other Formulas to find Column Cross Sectional Area

Other formulas in Strut Subjected to Compressive Axial Thrust and a Transverse Point Load at the Centre category

How to Evaluate Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load?

FAQs on Cross-Sectional Area given Bending Stress for Strut with Axial and Transverse Point Load

Variable Name

GoCross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load Formula

GoCross-Sectional Area given Maximum Stress induced for Strut with Axial and Point Load Formula