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Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load Formula

GoMaximum Bending Moment of Simply Supported Beams with Point Load at Centre Formula

GoMaximum Bending Moment of Simply Supported Beam with Uniformly Distributed Load Formula

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Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. Check FAQs

M = \frac{q \cdot L^{2}}{9 \cdot \sqrt{3}}

M - Bending Moment?q - Uniformly Varying Load?L - Length of Beam?

Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load Example

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Here is how the Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load equation looks like with Values.

Here is how the Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load equation looks like with Units.

Here is how the Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load equation looks like.

5.6375 = \frac{13 \cdot 2600^{2}}{9 \cdot \sqrt{3}}

5.6375kN*m = \frac{13kN/m \cdot {2600mm}^{2}}{9 \cdot \sqrt{3}}

5.6375 = \frac{13 \cdot 2600^{2}}{9 \cdot \sqrt{3}}

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Strength of Materials » fx Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load

Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load Solution

Follow our step by step solution on how to calculate Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load?

FIRST Step Consider the formula

M = \frac{q \cdot L^{2}}{9 \cdot \sqrt{3}}

Next Step Substitute values of Variables

∴

M = \frac{13kN/m \cdot {2600mm}^{2}}{9 \cdot \sqrt{3}}

Next Step Convert Units

∴

M = \frac{13000N/m \cdot {2.6m}^{2}}{9 \cdot \sqrt{3}}

Next Step Prepare to Evaluate

∴

M = \frac{13000 \cdot {2.6}^{2}}{9 \cdot \sqrt{3}}

Next Step Evaluate

∴

M = 5637.50462848715N*m

Next Step Convert to Output's Unit

∴

M = 5.63750462848715kN*m

LAST Step Rounding Answer

∴

M = 5.6375kN*m

Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load Formula Elements

Variables

Functions

Bending Moment

Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.

Symbol: M

Measurement: Moment of ForceUnit: kN*m

Note: Value can be positive or negative.

Formulas to find Bending Moment

Uniformly Varying Load

Uniformly varying Load is the load whose magnitude varies uniformly along the length of the structure.

Symbol: q

Measurement: Surface TensionUnit: kN/m

Note: Value can be positive or negative.

Formulas to find Uniformly Varying Load

Length of Beam

Length of Beam is defined as the distance between the supports.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Beam

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Bending Moment

Go Maximum Bending Moment of Simply Supported Beams with Point Load at Centre

M = \frac{P \cdot L}{4}

Go Maximum Bending Moment of Simply Supported Beam with Uniformly Distributed Load

M = \frac{w \cdot L^{2}}{8}

Go Maximum Bending Moment of Cantilever Beam Subjected to Point Load at Free End

M = P \cdot L

Go Maximum Bending Moment of Cantilever Subject to UDL over Entire Span

M = \frac{w \cdot L^{2}}{2}

Other formulas in Beam Moments category

Go Moment on Fixed End of Fixed Beam having Point Load at Center

FEM = \frac{P \cdot L}{8}

Go Moment on Fixed End of Fixed Beam having UDL over Entire Length

FEM = \frac{w \cdot (L^{2})}{12}

Go Fixed End Moment at Left Support with Point Load at Certain Distance from Left Support

FEM = (\frac{P \cdot (b^{2}) \cdot a}{L^{2}})

Go Fixed End Moment at Left Support Carrying Right Angled Triangular Load at Right Angled End A

FEM = \frac{q \cdot (L^{2})}{20}

How to Evaluate Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load?

Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load evaluator uses Bending Moment = (Uniformly Varying Load*Length of Beam^2)/(9*sqrt(3)) to evaluate the Bending Moment, The Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load formula is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. Bending Moment is denoted by M symbol.

How to evaluate Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load using this online evaluator? To use this online evaluator for Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load, enter Uniformly Varying Load (q) & Length of Beam (L) and hit the calculate button.

FAQs on Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load

What is the formula to find Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load?

The formula of Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load is expressed as Bending Moment = (Uniformly Varying Load*Length of Beam^2)/(9*sqrt(3)). Here is an example- 0.005638 = (13000*2.6^2)/(9*sqrt(3)).

How to calculate Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load?

With Uniformly Varying Load (q) & Length of Beam (L) we can find Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load using the formula - Bending Moment = (Uniformly Varying Load*Length of Beam^2)/(9*sqrt(3)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Bending Moment?

Here are the different ways to Calculate Bending Moment-

Bending Moment=(Point Load*Length of Beam)/4
Bending Moment=(Load per Unit Length*Length of Beam^2)/8
Bending Moment=Point Load*Length of Beam

Can the Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load be negative?

Yes, the Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load, measured in Moment of Force can be negative.

Which unit is used to measure Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load?

Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load is usually measured using the Kilonewton Meter[kN*m] for Moment of Force. Newton Meter[kN*m], Millinewton Meter[kN*m], Micronewton Meter[kN*m] are the few other units in which Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load can be measured.

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