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Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support 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{P \cdot a \cdot b}{L}

M - Bending Moment?P - Point Load?a - Distance from Support A?b - Distance from Support B?L - Length of Beam?

Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support Example

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Here is how the Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support equation looks like with Values.

Here is how the Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support equation looks like with Units.

Here is how the Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support equation looks like.

26.6538 = \frac{88 \cdot 2250 \cdot 350}{2600}

26.6538kN*m = \frac{88kN \cdot 2250mm \cdot 350mm}{2600mm}

26.6538 = \frac{88 \cdot 2250 \cdot 350}{2600}

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Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support Solution

Follow our step by step solution on how to calculate Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support?

FIRST Step Consider the formula

M = \frac{P \cdot a \cdot b}{L}

Next Step Substitute values of Variables

∴

M = \frac{88kN \cdot 2250mm \cdot 350mm}{2600mm}

Next Step Convert Units

∴

M = \frac{88000N \cdot 2.25m \cdot 0.35m}{2.6m}

Next Step Prepare to Evaluate

∴

M = \frac{88000 \cdot 2.25 \cdot 0.35}{2.6}

Next Step Evaluate

∴

M = 26653.8461538462N*m

Next Step Convert to Output's Unit

∴

M = 26.6538461538462kN*m

LAST Step Rounding Answer

∴

M = 26.6538kN*m

Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support Formula Elements

Variables

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

Point Load

Point Load acting on a beam is a force applied at a single point at a set distance from the ends of the beam.

Symbol: P

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Point Load

Distance from Support A

The Distance from support A is the distance between support to point of calculation.

Symbol: a

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Support A

Distance from Support B

The Distance from support B is the distance between support to point of calculation.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Support B

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

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 Simply Supported Beams with Uniformly Varying Load

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

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

M = P \cdot L

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 Beam with Point Load at Distance 'a' from Left Support?

Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support evaluator uses Bending Moment = (Point Load*Distance from Support A*Distance from Support B)/Length of Beam to evaluate the Bending Moment, The Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support 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 Beam with Point Load at Distance 'a' from Left Support using this online evaluator? To use this online evaluator for Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support, enter Point Load (P), Distance from Support A (a), Distance from Support B (b) & Length of Beam (L) and hit the calculate button.

FAQs on Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support

What is the formula to find Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support?

The formula of Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support is expressed as Bending Moment = (Point Load*Distance from Support A*Distance from Support B)/Length of Beam. Here is an example- 0.026654 = (88000*2.25*0.35)/2.6.

How to calculate Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support?

With Point Load (P), Distance from Support A (a), Distance from Support B (b) & Length of Beam (L) we can find Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support using the formula - Bending Moment = (Point Load*Distance from Support A*Distance from Support B)/Length of Beam.

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=(Uniformly Varying Load*Length of Beam^2)/(9*sqrt(3))

Can the Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support be negative?

Yes, the Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support, measured in Moment of Force can be negative.

Which unit is used to measure Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support?

Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support 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 Beam with Point Load at Distance 'a' from Left Support can be measured.

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Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support 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

Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support Example

Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support Solution

Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support Formula Elements

Other Formulas to find Bending Moment

Other formulas in Beam Moments category

How to Evaluate Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support?

FAQs on Maximum Bending Moment of Simply Supported Beam with Point Load at Distance 'a' from Left Support

Variable Name

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