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

✖Load per Unit Length is the load distributed per unit meter.ⓘ Load per Unit Length [w]			+10% -10%
✖Length of Beam is defined as the distance between the supports.ⓘ Length of Beam [L]			+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 Simply Supported Beam with Uniformly Distributed Load [M]

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

STEP 0: Pre-Calculation Summary

Formula Used

Bending Moment = (Load per Unit Length*Length of Beam^2)/8
M = (w*L^2)/8
This formula uses 3 Variables

Variables Used

Bending Moment - (Measured in Newton 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.
Load per Unit Length - (Measured in Newton per Meter) - Load per Unit Length is the load distributed per unit meter.
Length of Beam - (Measured in Meter) - Length of Beam is defined as the distance between the supports.

STEP 1: Convert Input(s) to Base Unit

Load per Unit Length: 67.46 Kilonewton per Meter --> 67460 Newton per Meter (Check conversion here)
Length of Beam: 2600 Millimeter --> 2.6 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = (w*L^2)/8 --> (67460*2.6^2)/8

Evaluating ... ...

M = 57003.7

STEP 3: Convert Result to Output's Unit

57003.7 Newton Meter -->57.0037 Kilonewton Meter (Check conversion here)

FINAL ANSWER

57.0037 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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K J Somaiya College of Engineering (K J Somaiya), Mumbai

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< Beam Moments Calculators

Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load

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

Maximum Bending Moment of Simply Supported Beam with Uniformly Distributed Load

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

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

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

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

LaTeX Go Bending Moment = Point Load*Length of Beam

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

LaTeX Go

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

What is Bending Moment of Simply Supported Beam with Uniformly Distributed Load?

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 supported beam having a uniformly distributed load applied, pin support at one end and roller support at the other.

How to Calculate Maximum Bending Moment of Simply Supported Beam with Uniformly Distributed Load?

Maximum Bending Moment of Simply Supported Beam with Uniformly Distributed Load calculator uses Bending Moment = (Load per Unit Length*Length of Beam^2)/8 to calculate the Bending Moment, The Maximum Bending Moment of Simply Supported Beam with Uniformly Distributed Load formula is defined as the reaction induced in a beam when an external uniformly distributed load is applied to the beam, causing the beam to bend. Bending Moment is denoted by M symbol.

How to calculate Maximum Bending Moment of Simply Supported Beam with Uniformly Distributed Load using this online calculator? To use this online calculator for Maximum Bending Moment of Simply Supported Beam with Uniformly Distributed Load, enter Load per Unit Length (w) & Length of Beam (L) and hit the calculate button. Here is how the Maximum Bending Moment of Simply Supported Beam with Uniformly Distributed Load calculation can be explained with given input values -> 0.057004 = (67460*2.6^2)/8.

FAQ

What is Maximum Bending Moment of Simply Supported Beam with Uniformly Distributed Load?

How to calculate Maximum Bending Moment of Simply Supported Beam with Uniformly Distributed Load?

The Maximum Bending Moment of Simply Supported Beam with Uniformly Distributed Load formula is defined as the reaction induced in a beam when an external uniformly distributed load is applied to the beam, causing the beam to bend is calculated using Bending Moment = (Load per Unit Length*Length of Beam^2)/8. To calculate Maximum Bending Moment of Simply Supported Beam with Uniformly Distributed Load, you need Load per Unit Length (w) & Length of Beam (L). With our tool, you need to enter the respective value for Load per Unit Length & Length of Beam 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 Load per Unit Length & Length of Beam. We can use 3 other way(s) to calculate the same, which is/are as follows -

Bending Moment = (Point Load*Length of Beam)/4
Bending Moment = (Uniformly Varying Load*Length of Beam^2)/(9*sqrt(3))
Bending Moment = Point Load*Length of Beam

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