Bending Moment of Simply Supported Beam Carrying UDL 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%
✖Distance x from Support is the length of a beam from the support to any point on the beam.ⓘ Distance x from Support [x]			+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.ⓘ Bending Moment of Simply Supported Beam Carrying UDL [M]

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Bending Moment of Simply Supported Beam Carrying UDL

Formula

`"M" = (("w"*"L"*"x")/2)-("w"*("x"^2)/2)`

Example

`"57.0037kN*m"=(("67.46kN/m"*"2600mm"*"1300mm")/2)-("67.46kN/m"*(("1300mm")^2)/2)`

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Bending Moment of Simply Supported Beam Carrying UDL Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Moment = ((Load per Unit Length*Length of Beam*Distance x from Support)/2)-(Load per Unit Length*(Distance x from Support^2)/2)
M = ((w*L*x)/2)-(w*(x^2)/2)
This formula uses 4 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.
Distance x from Support - (Measured in Meter) - Distance x from Support is the length of a beam from the support to any point on the beam.

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)
Distance x from Support: 1300 Millimeter --> 1.3 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = ((w*L*x)/2)-(w*(x^2)/2) --> ((67460*2.6*1.3)/2)-(67460*(1.3^2)/2)

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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Home » Engineering » Civil » Strength of Materials » Beam Moments » Bending Moment of Simply Supported Beam Carrying UDL

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Created by krupa sheela pattapu

Acharya Nagarjuna University College of Engg & Technology (ANU), Guntur

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Anna University Chennai (AU), Chennai

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< 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

Bending Moment of Simply Supported Beam Carrying UDL Formula

Bending Moment = ((Load per Unit Length*Length of Beam*Distance x from Support)/2)-(Load per Unit Length*(Distance x from Support^2)/2)
M = ((w*L*x)/2)-(w*(x^2)/2)

What is Bending Moment?

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.

What is Simply Supported Beam?

A Simply Supported Beam is one that rests on two supports and is free to move horizontally. Typical practical applications of simply supported beams with point loadings include bridges, beams in buildings, and beds of machine tools.

How to Calculate Bending Moment of Simply Supported Beam Carrying UDL?

Bending Moment of Simply Supported Beam Carrying UDL calculator uses Bending Moment = ((Load per Unit Length*Length of Beam*Distance x from Support)/2)-(Load per Unit Length*(Distance x from Support^2)/2) to calculate the Bending Moment, The Bending Moment of 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 symbol.

How to calculate Bending Moment of Simply Supported Beam Carrying UDL using this online calculator? To use this online calculator for Bending Moment of Simply Supported Beam Carrying UDL, enter Load per Unit Length (w), Length of Beam (L) & Distance x from Support (x) and hit the calculate button. Here is how the Bending Moment of Simply Supported Beam Carrying UDL calculation can be explained with given input values -> 0.057004 = ((67460*2.6*1.3)/2)-(67460*(1.3^2)/2).

FAQ

What is Bending Moment of Simply Supported Beam Carrying UDL?

The Bending Moment of 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 = ((w*L*x)/2)-(w*(x^2)/2) or Bending Moment = ((Load per Unit Length*Length of Beam*Distance x from Support)/2)-(Load per Unit Length*(Distance x from Support^2)/2). Load per Unit Length is the load distributed per unit meter, Length of Beam is defined as the distance between the supports & Distance x from Support is the length of a beam from the support to any point on the beam.

How to calculate Bending Moment of Simply Supported Beam Carrying UDL?

The Bending Moment of 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 Length*Length of Beam*Distance x from Support)/2)-(Load per Unit Length*(Distance x from Support^2)/2). To calculate Bending Moment of Simply Supported Beam Carrying UDL, you need Load per Unit Length (w), Length of Beam (L) & Distance x from Support (x). With our tool, you need to enter the respective value for Load per Unit Length, Length of Beam & Distance x from 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 Length, Length of Beam & Distance x from Support. 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 = (Uniformly Varying Load*Length of Beam^2)/(9*sqrt(3))
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 = ((Point Load*Distance x from Support)/2)

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