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

GoMaximum Stress Induced for Strut with Axial and Transverse Point Load at Center Formula

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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. Check FAQs

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

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

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

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

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

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

0.0133 = \frac{16 \cdot 10}{1.4 \cdot ({2.9277}^{2})}

0.0133MPa = \frac{16N*m \cdot 10mm}{1.4m² \cdot ({2.9277mm}^{2})}

0.0133 = \frac{16 \cdot 10}{1.4 \cdot ({2.9277}^{2})}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σb max = \frac{16N*m \cdot 10mm}{1.4m² \cdot ({2.9277mm}^{2})}

Next Step Convert Units

∴

σb max = \frac{16N*m \cdot 0.01m}{1.4m² \cdot ({0.0029m}^{2})}

Next Step Prepare to Evaluate

∴

σb max = \frac{16 \cdot 0.01}{1.4 \cdot ({0.0029}^{2})}

Next Step Evaluate

∴

σb max = 13333.335326667Pa

Next Step Convert to Output's Unit

∴

σb max = 0.013333335326667MPa

LAST Step Rounding Answer

∴

σb max = 0.0133MPa

Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load Formula Elements

Variables

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

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

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

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 Maximum Bending Stress

Go Maximum Stress Induced for Strut with Axial and Transverse Point Load at Center

σb max = (\frac{P compressive}{A sectional}) + ((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}{A sectional \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 Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load?

Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load evaluator uses Maximum Bending Stress = (Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point)/(Column Cross Sectional Area*(Least Radius of Gyration of Column^2)) to evaluate the Maximum Bending Stress, The Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load formula is defined as a more specific type of normal stress. When a beam experiences load like that shown in figure one the top fibers of the beam undergo normal compressive stress. Maximum Bending Stress is denoted by σb^max symbol.

How to evaluate Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load using this online evaluator? To use this online evaluator for Maximum Bending Stress 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), Column Cross Sectional Area (A_sectional) & Least Radius of Gyration of Column (k) and hit the calculate button.

FAQs on Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load

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

The formula of Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load is expressed as Maximum Bending Stress = (Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point)/(Column Cross Sectional Area*(Least Radius of Gyration of Column^2)). Here is an example- 5.2E-11 = (16*0.01)/(1.4*(0.0029277^2)).

How to calculate Maximum Bending Stress 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), Column Cross Sectional Area (A_sectional) & Least Radius of Gyration of Column (k) we can find Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load using the formula - Maximum Bending Stress = (Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point)/(Column Cross Sectional Area*(Least Radius of Gyration of Column^2)).

What are the other ways to Calculate Maximum Bending Stress?

Here are the different ways to Calculate Maximum Bending Stress-

Maximum Bending Stress=(Column Compressive Load/Column Cross Sectional Area)+((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)/(Column Cross Sectional Area*(Least Radius of Gyration of Column^2)))

Can the Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load be negative?

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

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

Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load can be measured.

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

​GoMaximum Stress Induced for Strut with Axial and Transverse Point Load at Center Formula

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

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

Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load Formula Elements

Other Formulas to find Maximum Bending Stress

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

How to Evaluate Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load?

FAQs on Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load

Variable Name

GoMaximum Stress Induced for Strut with Axial and Transverse Point Load at Center Formula