Maximum Bending Moment of Simply Supported Beam with Uniformly Distributed Load Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bending Moment = (Load per Unit Length*Length of Beam^2)/8
M = (w*L^2)/8
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)/8 --> (67460*2.6^2)/8
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)

Credits

Created by Alithea Fernandes
Don Bosco College of Engineering (DBCE), Goa
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Verified by Rushi Shah
K J Somaiya College of Engineering (K J Somaiya), Mumbai
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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

Maximum Bending Moment of Simply Supported Beam with Uniformly Distributed Load Formula

Bending Moment = (Load per Unit Length*Length of Beam^2)/8
M = (w*L^2)/8

What is Bending Moment of Simply Supported Beam with Uniformly Distributed Load?

The Bending Moment is the reaction induced in a beam when an external point load is applied at the free end of the overhanging beam, causing the beam to bend. The beam here is a simple supported beam having a uniformly distributed load applied, pin support at one end and roller support at the other.

How to Calculate Maximum Bending Moment of Simply Supported Beam with Uniformly Distributed Load?

Maximum Bending Moment of Simply Supported Beam with Uniformly Distributed Load calculator uses Bending Moment = (Load per Unit Length*Length of Beam^2)/8 to calculate the Bending Moment, The Maximum Bending Moment of Simply Supported Beam with Uniformly Distributed Load formula is defined as the reaction induced in a beam when an external uniformly distributed load is applied to the beam, causing the beam to bend. Bending Moment is denoted by M symbol.

How to calculate Maximum Bending Moment of Simply Supported Beam with Uniformly Distributed Load using this online calculator? To use this online calculator for Maximum Bending Moment of Simply Supported Beam with Uniformly Distributed Load, enter Load per Unit Length (w) & Length of Beam (L) and hit the calculate button. Here is how the Maximum Bending Moment of Simply Supported Beam with Uniformly Distributed Load calculation can be explained with given input values -> 0.057004 = (67460*2.6^2)/8.

FAQ

What is Maximum Bending Moment of Simply Supported Beam with Uniformly Distributed Load?
The Maximum Bending Moment of Simply Supported Beam with Uniformly Distributed Load formula is defined as the reaction induced in a beam when an external uniformly distributed load is applied to the beam, causing the beam to bend and is represented as M = (w*L^2)/8 or Bending Moment = (Load per Unit Length*Length of Beam^2)/8. 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 Simply Supported Beam with Uniformly Distributed Load?
The Maximum Bending Moment of Simply Supported Beam with Uniformly Distributed Load formula is defined as the reaction induced in a beam when an external uniformly distributed load is applied to the beam, causing the beam to bend is calculated using Bending Moment = (Load per Unit Length*Length of Beam^2)/8. To calculate Maximum Bending Moment of Simply Supported Beam with Uniformly Distributed Load, 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 9 other way(s) to calculate the same, which is/are as follows -
  • Bending Moment = (Point Load*Length of Beam)/4
  • 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 = ((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)
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