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 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 00.020 seconds)

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< Beam Moments Calculators

Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load

LaTeX Go Bending Moment = (Uniformly Varying Load*Length of Beam^2)/(9*sqrt(3))

Maximum Bending Moment of Simply Supported Beam with Uniformly Distributed Load

LaTeX Go Bending Moment = (Load per Unit Length*Length of Beam^2)/8

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

Bending Moment of Simply Supported Beam Carrying UDL Formula

LaTeX 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)
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 3 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))

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