Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load Calculator

✖Uniformly varying Load is the load whose magnitude varies uniformly along the length of the structure.ⓘ Uniformly Varying Load [q]			+10% -10%
✖Length of Beam is defined as the distance between the supports.ⓘ Length of Beam [L]			+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.ⓘ Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load [M]

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Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Moment = (Uniformly Varying Load*Length of Beam^2)/(9*sqrt(3))
M = (q*L^2)/(9*sqrt(3))
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
Uniformly Varying Load - (Measured in Newton per Meter) - Uniformly varying Load is the load whose magnitude varies uniformly along the length of the structure.
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

Uniformly Varying Load: 13 Kilonewton per Meter --> 13000 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 = (q*L^2)/(9*sqrt(3)) --> (13000*2.6^2)/(9*sqrt(3))

Evaluating ... ...

M = 5637.50462848715

STEP 3: Convert Result to Output's Unit

5637.50462848715 Newton Meter -->5.63750462848715 Kilonewton Meter (Check conversion here)

FINAL ANSWER

5.63750462848715 ≈ 5.637505 Kilonewton Meter <-- Bending Moment

(Calculation completed in 00.004 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

Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load Formula

LaTeX Go

Bending Moment = (Uniformly Varying Load*Length of Beam^2)/(9*sqrt(3))
M = (q*L^2)/(9*sqrt(3))

What is Uniformly Varying Load?

A Uniformly Varying Load is one which is spread over the beam in such a manner that rate of loading varies from each point along the beam, in which load is zero at one end and increase uniformly to the other end. This type of load is known as triangular load.

How to Calculate Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load?

Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load calculator uses Bending Moment = (Uniformly Varying Load*Length of Beam^2)/(9*sqrt(3)) to calculate the Bending Moment, The Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load 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 Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load using this online calculator? To use this online calculator for Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load, enter Uniformly Varying Load (q) & Length of Beam (L) and hit the calculate button. Here is how the Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load calculation can be explained with given input values -> 0.005638 = (13000*2.6^2)/(9*sqrt(3)).

FAQ

What is Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load?

The Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load 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 = (q*L^2)/(9*sqrt(3)) or Bending Moment = (Uniformly Varying Load*Length of Beam^2)/(9*sqrt(3)). Uniformly varying Load is the load whose magnitude varies uniformly along the length of the structure & Length of Beam is defined as the distance between the supports.

How to calculate Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load?

The Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load 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 = (Uniformly Varying Load*Length of Beam^2)/(9*sqrt(3)). To calculate Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load, you need Uniformly Varying Load (q) & Length of Beam (L). With our tool, you need to enter the respective value for Uniformly Varying 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 Uniformly Varying Load & Length of Beam. 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 = Point Load*Length of Beam

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