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

GoMaximum Bending Moment for Strut with Axial and Transverse Point Load at Center Formula

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

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

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

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

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

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

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

2399.9996 = 2 \cdot \frac{1.4 \cdot ({2.9277}^{2})}{10}

2399.9996N*m = 2MPa \cdot \frac{1.4m² \cdot ({2.9277mm}^{2})}{10mm}

2399.9996 = 2 \cdot \frac{1.4 \cdot ({2.9277}^{2})}{10}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

M max = 2MPa \cdot \frac{1.4m² \cdot ({2.9277mm}^{2})}{10mm}

Next Step Convert Units

∴

M max = 2E+6Pa \cdot \frac{1.4m² \cdot ({0.0029m}^{2})}{0.01m}

Next Step Prepare to Evaluate

∴

M max = 2E+6 \cdot \frac{1.4 \cdot ({0.0029}^{2})}{0.01}

Next Step Evaluate

∴

M max = 2399.9996412N*m

LAST Step Rounding Answer

∴

M max = 2399.9996N*m

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

Variables

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

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

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

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

Other Formulas to find Maximum Bending Moment In Column

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

M 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}}})))

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

Maximum Bending Moment if Maximum Bending Stress is given for Strut with Axial and Point Load evaluator uses Maximum Bending Moment In Column = Maximum Bending Stress*(Column Cross Sectional Area*(Least Radius of Gyration of Column^2))/(Distance from Neutral Axis to Extreme Point) to evaluate the Maximum Bending Moment In Column, The Maximum Bending Moment if Maximum Bending Stress is given for Strut with Axial and Point Load formula is defined as the maximum turning force that causes bending in a strut when it is subjected to compressive axial thrust and a transverse point load at the center, which is critical in determining the strut's structural integrity. Maximum Bending Moment In Column is denoted by M_max symbol.

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

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

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

The formula of Maximum Bending Moment if Maximum Bending Stress is given for Strut with Axial and Point Load is expressed as Maximum Bending Moment In Column = Maximum Bending Stress*(Column Cross Sectional Area*(Least Radius of Gyration of Column^2))/(Distance from Neutral Axis to Extreme Point). Here is an example- 619046.5 = 2000000*(1.4*(0.0029277^2))/(0.01).

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

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

What are the other ways to Calculate Maximum Bending Moment In Column?

Here are the different ways to Calculate Maximum Bending Moment In Column-

Maximum Bending Moment In Column=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)))))

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

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

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

Maximum Bending Moment if Maximum Bending Stress is given for Strut with Axial and Point Load is usually measured using the Newton Meter[N*m] for Moment of Force. Kilonewton Meter[N*m], Millinewton Meter[N*m], Micronewton Meter[N*m] are the few other units in which Maximum Bending Moment if Maximum Bending Stress is given for Strut with Axial and Point Load can be measured.

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

​GoMaximum Bending Moment for Strut with Axial and Transverse Point Load at Center Formula

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

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

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

Other Formulas to find Maximum Bending Moment In Column

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

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

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

Variable Name

GoMaximum Bending Moment for Strut with Axial and Transverse Point Load at Center Formula