Bending Moment of Simply Supported Beam Subjected to Point Load at Mid-Point Calculator

✖Point Load acting on a beam is a force applied at a single point at a set distance from the ends of the beam.ⓘ Point Load [P]			+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 Subjected to Point Load at Mid-Point [M]

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Formula

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Bending Moment of Simply Supported Beam Subjected to Point Load at Mid-Point

Formula

`"M" = (("P"*"x")/2)`

Example

`"57.2kN*m"=(("88kN"*"1300mm")/2)`

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Bending Moment of Simply Supported Beam Subjected to Point Load at Mid-Point Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Moment = ((Point Load*Distance x from Support)/2)
M = ((P*x)/2)
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.
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

Point Load: 88 Kilonewton --> 88000 Newton (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 = ((P*x)/2) --> ((88000*1.3)/2)

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

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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 Subjected to Point Load at Mid-Point Formula

Bending Moment = ((Point Load*Distance x from Support)/2)
M = ((P*x)/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 Subjected to Point Load at Mid-Point?

Bending Moment of Simply Supported Beam Subjected to Point Load at Mid-Point calculator uses Bending Moment = ((Point Load*Distance x from Support)/2) to calculate the Bending Moment, The Bending Moment of Simply Supported Beam Subjected to Point Load at Mid-Point 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 Subjected to Point Load at Mid-Point using this online calculator? To use this online calculator for Bending Moment of Simply Supported Beam Subjected to Point Load at Mid-Point, enter Point Load (P) & Distance x from Support (x) and hit the calculate button. Here is how the Bending Moment of Simply Supported Beam Subjected to Point Load at Mid-Point calculation can be explained with given input values -> 0.0572 = ((88000*1.3)/2).

FAQ

What is Bending Moment of Simply Supported Beam Subjected to Point Load at Mid-Point?

The Bending Moment of Simply Supported Beam Subjected to Point Load at Mid-Point 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 = ((P*x)/2) or Bending Moment = ((Point Load*Distance x from Support)/2). Point Load acting on a beam is a force applied at a single point at a set distance from the ends of the beam & 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 Subjected to Point Load at Mid-Point?

The Bending Moment of Simply Supported Beam Subjected to Point Load at Mid-Point 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 = ((Point Load*Distance x from Support)/2). To calculate Bending Moment of Simply Supported Beam Subjected to Point Load at Mid-Point, you need Point Load (P) & Distance x from Support (x). With our tool, you need to enter the respective value for Point Load & 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 Point Load & 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 = ((Load per Unit Length*Length of Beam*Distance x from Support)/2)-(Load per Unit Length*(Distance x from Support^2)/2)

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