Maximum Bending Moment of Overhanging Beam Subjected to Concentrated Load at Free End Calculator

✖Point Load acting on a beam is a force applied at a single point at a set distance from the ends of the beam.ⓘ Point Load [P]			+10% -10%
✖Length of Overhang is the length of the extension of a simple beam beyond its support on one end.ⓘ Length of Overhang [l_o]			+10% -10%

✖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.ⓘ Maximum Bending Moment of Overhanging Beam Subjected to Concentrated Load at Free End [M]

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Maximum Bending Moment of Overhanging Beam Subjected to Concentrated Load at Free End

Formula

`"M" = -"P"*"l"_{"o"}`

Example

`"-132000kN*m"=-"88kN"*"1500mm"`

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Maximum Bending Moment of Overhanging Beam Subjected to Concentrated Load at Free End Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Moment = -Point Load*Length of Overhang
M = -P*l_o
This formula uses 3 Variables

Variables Used

Bending Moment - (Measured in Kilonewton Meter) - 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.
Point Load - (Measured in Kilonewton) - Point Load acting on a beam is a force applied at a single point at a set distance from the ends of the beam.
Length of Overhang - (Measured in Millimeter) - Length of Overhang is the length of the extension of a simple beam beyond its support on one end.

STEP 1: Convert Input(s) to Base Unit

Point Load: 88 Kilonewton --> 88 Kilonewton No Conversion Required
Length of Overhang: 1500 Millimeter --> 1500 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = -P*l_o --> -88*1500

Evaluating ... ...

M = -132000

STEP 3: Convert Result to Output's Unit

-132000000 Newton Meter -->-132000 Kilonewton Meter (Check conversion here)

FINAL ANSWER

-132000 Kilonewton Meter <-- Bending Moment

(Calculation completed in 00.004 seconds)

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Created by Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

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St Joseph's College (SJC), Bengaluru

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< 18 Beam Moments Calculators

Bending Moment of Simply Supported Beam Carrying UDL

Go Bending Moment = ((Load per Unit Length*Length of Beam*Distance x from Support)/2)-(Load per Unit Length*(Distance x from Support^2)/2)

Fixed End Moment at Left Support with Couple at Distance A

Go Fixed End Moment = (Moment of Couple*Distance from Support B*(2*Distance from Support A-Distance from Support B))/(Length of Beam^2)

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

Go Fixed End Moment = ((Point Load*(Distance from Support B^2)*Distance from Support A)/(Length of Beam^2))

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

Go Bending Moment = (Point Load*Distance from Support A*Distance from Support B)/Length of Beam

Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load

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

Bending Moment of Cantilever Beam Subjected to UDL at Any Point from Free End

Go Bending Moment = ((Load per Unit Length*Distance x from Support^2)/2)

Moment on Fixed End of Fixed Beam Carrying Uniform Varying Load

Go Fixed End Moment = (5*Uniformly Varying Load*(Length of Beam^2))/96

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

Go Fixed End Moment = (Uniformly Varying Load*(Length of Beam^2))/20

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

Go Fixed End Moment = (Load per Unit Length*(Length of Beam^2))/12

Maximum Bending Moment of Simply Supported Beam with Uniformly Distributed Load

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

Maximum Bending Moment of Cantilever Subject to UDL over Entire Span

Go Bending Moment = (Load per Unit Length*Length of Beam^2)/2

Bending Moment of Simply Supported Beam Subjected to Point Load at Mid-Point

Go Bending Moment = ((Point Load*Distance x from Support)/2)

Fixed End Moment of Fixed Beam Carrying Three Equi-spaced Point Loads

Go Fixed End Moment = (15*Point Load*Length of Beam)/48

Moment on Fixed End of Fixed Beam carrying Two Equi Spaced Point Loads

Go Fixed End Moment = (2*Point Load*Length of Beam)/9

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

Go Fixed End Moment = (Point Load*Length of Beam)/8

Maximum Bending Moment of Overhanging Beam Subjected to Concentrated Load at Free End

Go Bending Moment = -Point Load*Length of Overhang

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

Go Bending Moment = (Point Load*Length of Beam)/4

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

Go Bending Moment = Point Load*Length of Beam

Maximum Bending Moment of Overhanging Beam Subjected to Concentrated Load at Free End Formula

Bending Moment = -Point Load*Length of Overhang
M = -P*l_o

What is Bending Moment of Overhanging Beam Subjected to a Concentrated Load at Free End?

The Bending Moment is the reaction induced in a beam when an external point load is applied at the free end of the overhanging beam, causing the beam to bend. The beam here is a simple beam having no load applied and extended at one support with a point load applied at the free end of the extension.

How to Calculate Maximum Bending Moment of Overhanging Beam Subjected to Concentrated Load at Free End?

Maximum Bending Moment of Overhanging Beam Subjected to Concentrated Load at Free End calculator uses Bending Moment = -Point Load*Length of Overhang to calculate the Bending Moment, The Maximum Bending Moment of Overhanging Beam Subjected to Concentrated Load at Free End formula is defined as the bending of the beam or any structure upon the action of the arbitrary load. Bending Moment is denoted by M symbol.

How to calculate Maximum Bending Moment of Overhanging Beam Subjected to Concentrated Load at Free End using this online calculator? To use this online calculator for Maximum Bending Moment of Overhanging Beam Subjected to Concentrated Load at Free End, enter Point Load (P) & Length of Overhang (l_o) and hit the calculate button. Here is how the Maximum Bending Moment of Overhanging Beam Subjected to Concentrated Load at Free End calculation can be explained with given input values -> -0.132 = -88000*1.5.

FAQ

What is Maximum Bending Moment of Overhanging Beam Subjected to Concentrated Load at Free End?

The Maximum Bending Moment of Overhanging Beam Subjected to Concentrated Load at Free End formula is defined as the bending of the beam or any structure upon the action of the arbitrary load and is represented as M = -P*l_o or Bending Moment = -Point Load*Length of Overhang. Point Load acting on a beam is a force applied at a single point at a set distance from the ends of the beam & Length of Overhang is the length of the extension of a simple beam beyond its support on one end.

How to calculate Maximum Bending Moment of Overhanging Beam Subjected to Concentrated Load at Free End?

The Maximum Bending Moment of Overhanging Beam Subjected to Concentrated Load at Free End formula is defined as the bending of the beam or any structure upon the action of the arbitrary load is calculated using Bending Moment = -Point Load*Length of Overhang. To calculate Maximum Bending Moment of Overhanging Beam Subjected to Concentrated Load at Free End, you need Point Load (P) & Length of Overhang (l_o). With our tool, you need to enter the respective value for Point Load & Length of Overhang and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Bending Moment?

In this formula, Bending Moment uses Point Load & Length of Overhang. We can use 9 other way(s) to calculate the same, which is/are as follows -

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))
Bending Moment = Point Load*Length of Beam
Bending Moment = (Load per Unit Length*Length of Beam^2)/2
Bending Moment = (Point Load*Distance from Support A*Distance from Support B)/Length of Beam
Bending Moment = ((Load per Unit Length*Distance x from Support^2)/2)
Bending Moment = ((Load per Unit Length*Length of Beam*Distance x from Support)/2)-(Load per Unit Length*(Distance x from Support^2)/2)
Bending Moment = ((Point Load*Distance x from Support)/2)

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