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

GoCross-Sectional Area given Bending Stress for Strut with Axial and Transverse 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 max \cdot c}{(k^{2}) \cdot σb max}

A_sectional - Column Cross Sectional Area?M_max - Maximum Bending Moment In Column?c - Distance from Neutral Axis to Extreme Point?k - Least Radius of Gyration of Column?σb^max - Maximum Bending Stress?

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

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Here is how the Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load equation looks like with Values.

Here is how the Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load equation looks like with Units.

Here is how the Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load equation looks like.

0.0093 = \frac{16 \cdot 10}{({2.9277}^{2}) \cdot 2}

0.0093m² = \frac{16N*m \cdot 10mm}{({2.9277mm}^{2}) \cdot 2MPa}

0.0093 = \frac{16 \cdot 10}{({2.9277}^{2}) \cdot 2}

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Strength of Materials » fx Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load

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

Follow our step by step solution on how to calculate Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A sectional = \frac{16N*m \cdot 10mm}{({2.9277mm}^{2}) \cdot 2MPa}

Next Step Convert Units

∴

A sectional = \frac{16N*m \cdot 0.01m}{({0.0029m}^{2}) \cdot 2E+6Pa}

Next Step Prepare to Evaluate

∴

A sectional = \frac{16 \cdot 0.01}{({0.0029}^{2}) \cdot 2E+6}

Next Step Evaluate

∴

A sectional = 0.00933333472866687m²

LAST Step Rounding Answer

∴

A sectional = 0.0093m²

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

Maximum Bending Moment In Column

Maximum Bending Moment In Column is the highest moment of force that causes the column to bend or deform under applied loads.

Symbol: M_max

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

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

Maximum Bending Stress

Maximum Bending Stress is the highest stress experienced by a material when subjected to bending forces. It occurs at the point on a beam or structural element where the bending moment is greatest.

Symbol: σb^max

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Maximum Bending Stress

Other Formulas to find Column Cross Sectional Area

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

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

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 if Maximum Bending Moment is given for Strut with Axial and Point Load?

Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load evaluator uses 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) to evaluate the Column Cross Sectional Area, The Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load formula is defined as a measure of the size of the cross-section of a strut that can withstand a given maximum bending moment when subjected to both compressive axial thrust and a transverse point load at the center. Column Cross Sectional Area is denoted by A_sectional symbol.

How to evaluate Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load using this online evaluator? To use this online evaluator for Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load, enter Maximum Bending Moment In Column (M_max), Distance from Neutral Axis to Extreme Point (c), Least Radius of Gyration of Column (k) & Maximum Bending Stress (σb^max) and hit the calculate button.

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

What is the formula to find Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load?

The formula of Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load is expressed as 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). Here is an example- 3.6E-5 = (16*0.01)/((0.0029277^2)*2000000).

How to calculate Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load?

With Maximum Bending Moment In Column (M_max), Distance from Neutral Axis to Extreme Point (c), Least Radius of Gyration of Column (k) & Maximum Bending Stress (σb^max) we can find Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load using the formula - 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).

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=(Bending Moment in Column*Distance from Neutral Axis to Extreme Point)/(Bending Stress in Column*(Least Radius of Gyration of Column^2))
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 if Maximum Bending Moment is given for Strut with Axial and Point Load be negative?

No, the Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load, measured in Area cannot be negative.

Which unit is used to measure Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and Point Load?

Cross Sectional Area if Maximum Bending Moment is given for Strut with Axial and 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 if Maximum Bending Moment is given for Strut with Axial and Point Load can be measured.

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

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

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

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

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

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

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

Variable Name

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

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