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

STEP 0: Pre-Calculation Summary
Formula Used
Bending Moment = (Point Load*Length of Beam)/4
M = (P*L)/4
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.
Point Load - (Measured in Newton) - Point Load acting on a beam is a force applied at a single point at a set distance from the ends of the beam.
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
Point Load: 88 Kilonewton --> 88000 Newton (Check conversion ​here)
Length of Beam: 2600 Millimeter --> 2.6 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
M = (P*L)/4 --> (88000*2.6)/4
Evaluating ... ...
M = 57200
STEP 3: Convert Result to Output's Unit
57200 Newton Meter -->57.2 Kilonewton Meter (Check conversion ​here)
FINAL ANSWER
57.2 Kilonewton Meter <-- Bending Moment
(Calculation completed in 00.004 seconds)

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Created by Alithea Fernandes
Don Bosco College of Engineering (DBCE), Goa
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K J Somaiya College of Engineering (K J Somaiya), Mumbai
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Maximum Bending Moment of Simply Supported Beams with Point Load at Centre
​ LaTeX ​ Go Bending Moment = (Point Load*Length of Beam)/4
Maximum Bending Moment of Cantilever Beam Subjected to Point Load at Free End
​ LaTeX ​ Go Bending Moment = Point Load*Length of Beam

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

​LaTeX ​Go
Bending Moment = (Point Load*Length of Beam)/4
M = (P*L)/4

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. The most common or simplest structural element subjected to bending moments is the beam.

How to Calculate Maximum Bending Moment of Simply Supported Beams with Point Load at Centre?

Maximum Bending Moment of Simply Supported Beams with Point Load at Centre calculator uses Bending Moment = (Point Load*Length of Beam)/4 to calculate the Bending Moment, The Maximum Bending Moment of Simply Supported Beams with Point Load at Centre formula is defined as the reaction induced in a beam when a point load is applied to the centre of the beam, causing the beam to bend. Bending Moment is denoted by M symbol.

How to calculate Maximum Bending Moment of Simply Supported Beams with Point Load at Centre using this online calculator? To use this online calculator for Maximum Bending Moment of Simply Supported Beams with Point Load at Centre, enter Point Load (P) & Length of Beam (L) and hit the calculate button. Here is how the Maximum Bending Moment of Simply Supported Beams with Point Load at Centre calculation can be explained with given input values -> 0.004875 = (88000*2.6)/4.

FAQ

What is Maximum Bending Moment of Simply Supported Beams with Point Load at Centre?
The Maximum Bending Moment of Simply Supported Beams with Point Load at Centre formula is defined as the reaction induced in a beam when a point load is applied to the centre of the beam, causing the beam to bend and is represented as M = (P*L)/4 or Bending Moment = (Point Load*Length of Beam)/4. Point Load acting on a beam is a force applied at a single point at a set distance from the ends of the beam & Length of Beam is defined as the distance between the supports.
How to calculate Maximum Bending Moment of Simply Supported Beams with Point Load at Centre?
The Maximum Bending Moment of Simply Supported Beams with Point Load at Centre formula is defined as the reaction induced in a beam when a point load is applied to the centre of the beam, causing the beam to bend is calculated using Bending Moment = (Point Load*Length of Beam)/4. To calculate Maximum Bending Moment of Simply Supported Beams with Point Load at Centre, you need Point Load (P) & Length of Beam (L). With our tool, you need to enter the respective value for Point 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 Point Load & Length of Beam. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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
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