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Bending moment of a simply supported beam carrying UDL Calculator

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✖Load per unit meter is the load distributed per unit meter.ⓘ Load per unit meter [w/l]
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-10%
✖Length of the beam is defined as the distance between the supports.ⓘ Length of the beam [l]
+10%
-10%
✖Distance x from the left support is the length of a beam from the left support to the any point on the beam.ⓘ Distance x from the left support [x]
+10%
-10%
✖The 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.ⓘ Bending moment of a simply supported beam carrying UDL [Mb]
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Credits

krupa sheela pattapu
National institute of technology, Karnataka (NITK), surathkal
krupa sheela pattapu has created this Calculator and 10+ more calculators!
Vainav Sundhar R
Anna University Chennai (AU), Chennai
Vainav Sundhar R has verified this Calculator and 9 more calculators!

Bending moment of a simply supported beam carrying UDL Solution

STEP 0: Pre-Calculation Summary
Formula Used
bending_moment = ((Load per unit meter*Length of the beam*Distance x from the left support)/2)-(Load per unit meter*(Distance x from the left support^2)/2)
Mb = ((w/l*l*x)/2)-(w/l*(x^2)/2)
This formula uses 3 Variables
Variables Used
Load per unit meter - Load per unit meter is the load distributed per unit meter. (Measured in Newton per Meter)
Length of the beam - Length of the beam is defined as the distance between the supports. (Measured in Meter)
Distance x from the left support - Distance x from the left support is the length of a beam from the left support to the any point on the beam. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Load per unit meter: 2 Newton per Meter --> 2 Newton per Meter No Conversion Required
Length of the beam: 5 Meter --> 5 Meter No Conversion Required
Distance x from the left support: 0.5 Meter --> 0.5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Mb = ((w/l*l*x)/2)-(w/l*(x^2)/2) --> ((2*5*0.5)/2)-(2*(0.5^2)/2)
Evaluating ... ...
Mb = 2.25
STEP 3: Convert Result to Output's Unit
2.25 Newton Meter --> No Conversion Required
FINAL ANSWER
2.25 Newton Meter <-- Bending moment
(Calculation completed in 00.015 seconds)
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10+ Beam Moments Calculators

Fixed end moment at left support with point load at certain distance from left support
fixed_end_moment = (Point Load acting on the Beam*(Distance from end B^2)*Distance from end A)/(Length^2) Go
Maximum Bending Moment of simply supported beam with point load at distance 'a' from left support
bending_moment_of_beam = (Point Load acting on the Beam*Distance from end A*Distance from end B)/Length Go
Maximum Bending Moment of Overhanging Beam Subjected to Concentrated Load at Free End
bending_moment_of_beam = -Point Load acting on the Beam*Length of Overhang Go
Maximum Bending Moment of Simply Supported Beams with Point Load at Centre
bending_moment_of_beam = (Point Load acting on the Beam*Length)/4 Go
Maximum Bending Moment of Cantilever Subject to UDL Over its Entire Span
bending_moment_of_beam = (-Uniformly Distributed Load*Length^2)/2 Go
Maximum Bending Moment of simply supported beam with Uniformly Distributed Load
bending_moment_of_beam = (Uniformly Distributed Load*Length^2)/8 Go
Maximum Bending Moment of Cantilever Beam subjected to Point Load at Free End
bending_moment_of_beam = (-Point Load acting on the Beam*Length) Go
Bending Moment of Simply Supported Beams with Uniformly Varying Load
bending_moment_of_beam = 0.1283*Uniformly Varying Load*Length Go
Fixed End Moment of a Fixed Beam having UDL over its entire Length
fixed_end_moment = (Uniformly Distributed Load*(Length^2))/12 Go
Fixed End Moment of a Fixed Beam having Point Load at Center
fixed_end_moment = (Point Load acting on the Beam*Length)/8 Go

Bending moment of a simply supported beam carrying UDL Formula

bending_moment = ((Load per unit meter*Length of the beam*Distance x from the left support)/2)-(Load per unit meter*(Distance x from the left support^2)/2)
Mb = ((w/l*l*x)/2)-(w/l*(x^2)/2)

what is 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.

How to Calculate Bending moment of a simply supported beam carrying UDL?

Bending moment of a simply supported beam carrying UDL calculator uses bending_moment = ((Load per unit meter*Length of the beam*Distance x from the left support)/2)-(Load per unit meter*(Distance x from the left support^2)/2) to calculate the Bending moment, The Bending moment of a simply supported beam carrying UDL 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 Mb symbol.

How to calculate Bending moment of a simply supported beam carrying UDL using this online calculator? To use this online calculator for Bending moment of a simply supported beam carrying UDL, enter Load per unit meter (w/l), Length of the beam (l) & Distance x from the left support (x) and hit the calculate button. Here is how the Bending moment of a simply supported beam carrying UDL calculation can be explained with given input values -> 2.25 = ((2*5*0.5)/2)-(2*(0.5^2)/2).

FAQ

What is Bending moment of a simply supported beam carrying UDL?
The Bending moment of a simply supported beam carrying UDL 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 Mb = ((w/l*l*x)/2)-(w/l*(x^2)/2) or bending_moment = ((Load per unit meter*Length of the beam*Distance x from the left support)/2)-(Load per unit meter*(Distance x from the left support^2)/2). Load per unit meter is the load distributed per unit meter, Length of the beam is defined as the distance between the supports & Distance x from the left support is the length of a beam from the left support to the any point on the beam.
How to calculate Bending moment of a simply supported beam carrying UDL?
The Bending moment of a simply supported beam carrying UDL 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 = ((Load per unit meter*Length of the beam*Distance x from the left support)/2)-(Load per unit meter*(Distance x from the left support^2)/2). To calculate Bending moment of a simply supported beam carrying UDL, you need Load per unit meter (w/l), Length of the beam (l) & Distance x from the left support (x). With our tool, you need to enter the respective value for Load per unit meter, Length of the beam & Distance x from the left support 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 meter, Length of the beam & Distance x from the left support. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • bending_moment_of_beam = (Point Load acting on the Beam*Length)/4
  • bending_moment_of_beam = (Uniformly Distributed Load*Length^2)/8
  • bending_moment_of_beam = 0.1283*Uniformly Varying Load*Length
  • bending_moment_of_beam = (-Point Load acting on the Beam*Length)
  • bending_moment_of_beam = (-Uniformly Distributed Load*Length^2)/2
  • bending_moment_of_beam = (Point Load acting on the Beam*Distance from end A*Distance from end B)/Length
  • bending_moment_of_beam = -Point Load acting on the Beam*Length of Overhang
  • fixed_end_moment = (Point Load acting on the Beam*Length)/8
  • fixed_end_moment = (Uniformly Distributed Load*(Length^2))/12
  • fixed_end_moment = (Point Load acting on the Beam*(Distance from end B^2)*Distance from end A)/(Length^2)
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