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]			+10% -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 [M_b]

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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)
M_b = ((w*l*x)/2)-(w*(x^2)/2)
This formula uses 4 Variables

Variables Used

Bending Moment - (Measured in Newton Meter) - 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.
Load per unit meter - (Measured in Newton per Meter) - Load per unit meter is the load distributed per unit meter.
Length of the beam - (Measured in Meter) - Length of the beam is defined as the distance between the supports.
Distance x from the left support - (Measured in Meter) - Distance x from the left support is the length of a beam from the left support to the any point on the beam.

STEP 1: Convert Input(s) to Base Unit

Load per unit meter: 2 Kilonewton per Meter --> 2000 Newton per Meter (Check conversion here)
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

M_b = ((w*l*x)/2)-(w*(x^2)/2) --> ((2000*5*0.5)/2)-(2000*(0.5^2)/2)

Evaluating ... ...

M_b = 2250

STEP 3: Convert Result to Output's Unit

2250 Newton Meter --> No Conversion Required

FINAL ANSWER

2250 Newton Meter <-- Bending Moment

(Calculation completed in 00.016 seconds)

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Created by krupa sheela pattapu

National institute of technology, Karnataka (NITK), surathkal

krupa sheela pattapu has created this Calculator and 25+ more calculators!

Verified by Vainav Sundhar R

Anna University Chennai (AU), Chennai

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< 10+ Beam Moments Calculators

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Fixed End Moment = ((Point Load acting on the Beam*(Distance from end B^2)*Distance from end A)/(Span of the beam^2)) Go

Maximum Bending Moment of simply supported beam with point load at distance 'a' from left support

Bending Moment = (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 = -Point Load acting on the Beam*Length of Overhang Go

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

Fixed End Moment = (Uniformly Distributed Load*(Length^2))/12 Go

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

Fixed End Moment = (Point Load acting on the Beam*Length)/8 Go

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

Bending Moment = (Point Load acting on the Beam*Length)/4 Go

Maximum Bending Moment of Cantilever Subject to UDL over Entire Span

Bending Moment = (-Uniformly Distributed Load*Length^2)/2 Go

Maximum Bending Moment of simply supported beam with Uniformly Distributed Load

Bending Moment = (Uniformly Distributed Load*Length^2)/8 Go

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

Bending Moment = (-Point Load acting on the Beam*Length) Go

Bending Moment of Simply Supported Beams with Uniformly Varying Load

Bending Moment = 0.1283*Uniformly Varying Load*Length 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)
M_b = ((w*l*x)/2)-(w*(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 M_b 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), 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 M_b = ((w*l*x)/2)-(w*(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), 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 2 other way(s) to calculate the same, which is/are as follows -

Bending Moment = ((Load per unit meter*Distance x from the left support^2)/2)
Bending Moment = ((Normal Force*Distance x from the left support)/2)

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