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

✖Uniformly varying Load is the load whose magnitude varies uniformly along the length of the structure.ⓘ Uniformly Varying Load [q]			+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 Beams with Uniformly Varying Load [M]

⎘ Copy

👎

Formula

✖

Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load

Formula

`"M" = ("q"*"L"^2)/(9*sqrt(3))`

Example

`"5.637505kN*m"=("13kN/m"*("2600mm")^2)/(9*sqrt(3))`

Calculator

LaTeX

Reset

👍

Download Beam Moments Formulas PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

Bending Moment = (Uniformly Varying Load*Length of Beam^2)/(9*sqrt(3))
M = (q*L^2)/(9*sqrt(3))
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

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.
Uniformly Varying Load - (Measured in Newton per Meter) - Uniformly varying Load is the load whose magnitude varies uniformly along the length of the structure.
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

Uniformly Varying Load: 13 Kilonewton per Meter --> 13000 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 = (q*L^2)/(9*sqrt(3)) --> (13000*2.6^2)/(9*sqrt(3))

Evaluating ... ...

M = 5637.50462848715

STEP 3: Convert Result to Output's Unit

5637.50462848715 Newton Meter -->5.63750462848715 Kilonewton Meter (Check conversion here)

FINAL ANSWER

5.63750462848715 ≈ 5.637505 Kilonewton Meter <-- Bending Moment

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Strength of Materials » Beam Moments » Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load

Credits

Created by Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

Alithea Fernandes has created this Calculator and 100+ more calculators!

Verified by Rudrani Tidke

Cummins College of Engineering for Women (CCEW), Pune

Rudrani Tidke has verified this Calculator and 50+ more calculators!

< 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 Simply Supported Beams with Uniformly Varying Load Formula

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

What is Uniformly Varying Load?

A Uniformly Varying Load is one which is spread over the beam in such a manner that rate of loading varies from each point along the beam, in which load is zero at one end and increase uniformly to the other end. This type of load is known as triangular load.

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

Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load calculator uses Bending Moment = (Uniformly Varying Load*Length of Beam^2)/(9*sqrt(3)) to calculate 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 calculate Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load using this online calculator? To use this online calculator 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. Here is how the Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load calculation can be explained with given input values -> 0.005638 = (13000*2.6^2)/(9*sqrt(3)).

FAQ

What is Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load?

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 and is represented as M = (q*L^2)/(9*sqrt(3)) or Bending Moment = (Uniformly Varying Load*Length of Beam^2)/(9*sqrt(3)). Uniformly varying Load is the load whose magnitude varies uniformly along the length of the structure & Length of Beam is defined as the distance between the supports.

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

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 is calculated using Bending Moment = (Uniformly Varying Load*Length of Beam^2)/(9*sqrt(3)). To calculate Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load, you need Uniformly Varying Load (q) & Length of Beam (L). With our tool, you need to enter the respective value for Uniformly Varying Load & 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 Uniformly Varying Load & Length of Beam. 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 = 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 = -Point Load*Length of Overhang
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)

Home

FREE PDFs

🔍 Search