Maximum Bending Moment of Cantilever Subject to UDL over Entire Span 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 Cantilever Subject to UDL over Entire Span [M]

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Formula

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Maximum Bending Moment of Cantilever Subject to UDL over Entire Span

Formula

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

Example

228.0148 kN*m = \frac{67.46 kN/m \cdot {2600 mm}^{2}}{2}

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

STEP 0: Pre-Calculation Summary

Formula Used

Bending Moment = (Load per Unit Length*Length of Beam^2)/2
M = (w*L^2)/2
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)/2 --> (67460*2.6^2)/2

Evaluating ... ...

M = 228014.8

STEP 3: Convert Result to Output's Unit

228014.8 Newton Meter -->228.0148 Kilonewton Meter (Check conversion here)

FINAL ANSWER

228.0148 Kilonewton Meter <-- Bending Moment

(Calculation completed in 00.020 seconds)

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Created by Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

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< Beam Moments Calculators

Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load

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

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 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 Cantilever Subject to UDL over Entire Span Formula

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

What is Bending Moment of a Cantilever Subject to UDL Over its Entire Span?

The Bending Moment of a Cantilever Subject to UDL Over its Entire Span is the reaction induced in a cantilever beam at the fixed end when a uniformly distributed load is applied to the cantilever, causing it to hog.

How to Calculate Maximum Bending Moment of Cantilever Subject to UDL over Entire Span?

Maximum Bending Moment of Cantilever Subject to UDL over Entire Span calculator uses Bending Moment = (Load per Unit Length*Length of Beam^2)/2 to calculate the Bending Moment, The Maximum Bending Moment of Cantilever Subject to UDL over Entire Span 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 Cantilever Subject to UDL over Entire Span using this online calculator? To use this online calculator for Maximum Bending Moment of Cantilever Subject to UDL over Entire Span, enter Load per Unit Length (w) & Length of Beam (L) and hit the calculate button. Here is how the Maximum Bending Moment of Cantilever Subject to UDL over Entire Span calculation can be explained with given input values -> 0.228015 = (67460*2.6^2)/2.

FAQ

What is Maximum Bending Moment of Cantilever Subject to UDL over Entire Span?

The Maximum Bending Moment of Cantilever Subject to UDL over Entire Span formula is defined as the bending of the beam or any structure upon the action of the arbitrary load and is represented as M = (w*L^2)/2 or Bending Moment = (Load per Unit Length*Length of Beam^2)/2. Load per Unit Length is the load distributed per unit meter & Length of Beam is defined as the distance between the supports.

How to calculate Maximum Bending Moment of Cantilever Subject to UDL over Entire Span?

The Maximum Bending Moment of Cantilever Subject to UDL over Entire Span formula is defined as the bending of the beam or any structure upon the action of the arbitrary load is calculated using Bending Moment = (Load per Unit Length*Length of Beam^2)/2. To calculate Maximum Bending Moment of Cantilever Subject to UDL over Entire Span, 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 = (Load per Unit Length*Length of Beam^2)/8
Bending Moment = (Uniformly Varying Load*Length of Beam^2)/(9*sqrt(3))

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