Fixed End Moment at Left Support with Point Load at Certain Distance from Left Support 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%
✖The Distance from support B is the distance between support to point of calculation.ⓘ Distance from Support B [b]			+10% -10%
✖The Distance from support A is the distance between support to point of calculation.ⓘ Distance from Support A [a]			+10% -10%
✖Length of Beam is defined as the distance between the supports.ⓘ Length of Beam [L]			+10% -10%

✖The fixed end moments are reaction moments developed in a beam member under certain load conditions with both ends fixed.ⓘ Fixed End Moment at Left Support with Point Load at Certain Distance from Left Support [FEM]

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Formula

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Fixed End Moment at Left Support with Point Load at Certain Distance from Left Support

Formula

FEM = (\frac{P \cdot (b^{2}) \cdot a}{L^{2}})

Example

3.588018 kN*m = (\frac{88 kN \cdot ({350 mm}^{2}) \cdot 2250 mm}{{2600 mm}^{2}})

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Fixed End Moment at Left Support with Point Load at Certain Distance from Left Support Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fixed End Moment = ((Point Load*(Distance from Support B^2)*Distance from Support A)/(Length of Beam^2))
FEM = ((P*(b^2)*a)/(L^2))
This formula uses 5 Variables

Variables Used

Fixed End Moment - (Measured in Newton Meter) - The fixed end moments are reaction moments developed in a beam member under certain load conditions with both ends fixed.
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 from Support B - (Measured in Meter) - The Distance from support B is the distance between support to point of calculation.
Distance from Support A - (Measured in Meter) - The Distance from support A is the distance between support to point of calculation.
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)
Distance from Support B: 350 Millimeter --> 0.35 Meter (Check conversion here)
Distance from Support A: 2250 Millimeter --> 2.25 Meter (Check conversion here)
Length of Beam: 2600 Millimeter --> 2.6 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

FEM = ((P*(b^2)*a)/(L^2)) --> ((88000*(0.35^2)*2.25)/(2.6^2))

Evaluating ... ...

FEM = 3588.01775147929

STEP 3: Convert Result to Output's Unit

3588.01775147929 Newton Meter -->3.58801775147929 Kilonewton Meter (Check conversion here)

FINAL ANSWER

3.58801775147929 ≈ 3.588018 Kilonewton Meter <-- Fixed End Moment

(Calculation completed in 00.004 seconds)

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Don Bosco College of Engineering (DBCE), Goa

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< Beam Moments Calculators

Maximum Bending Moment of Simply Supported Beams with Uniformly Varying Load

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

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 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

Fixed End Moment at Left Support with Point Load at Certain Distance from Left Support Formula

Fixed End Moment = ((Point Load*(Distance from Support B^2)*Distance from Support A)/(Length of Beam^2))
FEM = ((P*(b^2)*a)/(L^2))

What is Fixed End Moments of a Fixed Beam carrying point load?

The Fixed End Moments are reaction moments developed in the supports under point load with both ends fixed.

How to Calculate Fixed End Moment at Left Support with Point Load at Certain Distance from Left Support?

Fixed End Moment at Left Support with Point Load at Certain Distance from Left Support calculator uses Fixed End Moment = ((Point Load*(Distance from Support B^2)*Distance from Support A)/(Length of Beam^2)) to calculate the Fixed End Moment, The Fixed End Moment at Left Support with Point Load at Certain Distance from Left Support formula is defined as reaction moments developed in a beam member under certain load conditions with both ends fixed. Fixed End Moment is denoted by FEM symbol.

How to calculate Fixed End Moment at Left Support with Point Load at Certain Distance from Left Support using this online calculator? To use this online calculator for Fixed End Moment at Left Support with Point Load at Certain Distance from Left Support, enter Point Load (P), Distance from Support B (b), Distance from Support A (a) & Length of Beam (L) and hit the calculate button. Here is how the Fixed End Moment at Left Support with Point Load at Certain Distance from Left Support calculation can be explained with given input values -> 0.003588 = ((88000*(0.35^2)*2.25)/(2.6^2)).

FAQ

What is Fixed End Moment at Left Support with Point Load at Certain Distance from Left Support?

The Fixed End Moment at Left Support with Point Load at Certain Distance from Left Support formula is defined as reaction moments developed in a beam member under certain load conditions with both ends fixed and is represented as FEM = ((P*(b^2)*a)/(L^2)) or Fixed End Moment = ((Point Load*(Distance from Support B^2)*Distance from Support A)/(Length of Beam^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, The Distance from support B is the distance between support to point of calculation, The Distance from support A is the distance between support to point of calculation & Length of Beam is defined as the distance between the supports.

How to calculate Fixed End Moment at Left Support with Point Load at Certain Distance from Left Support?

The Fixed End Moment at Left Support with Point Load at Certain Distance from Left Support formula is defined as reaction moments developed in a beam member under certain load conditions with both ends fixed is calculated using Fixed End Moment = ((Point Load*(Distance from Support B^2)*Distance from Support A)/(Length of Beam^2)). To calculate Fixed End Moment at Left Support with Point Load at Certain Distance from Left Support, you need Point Load (P), Distance from Support B (b), Distance from Support A (a) & Length of Beam (L). With our tool, you need to enter the respective value for Point Load, Distance from Support B, Distance from Support A & 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 Fixed End Moment?

In this formula, Fixed End Moment uses Point Load, Distance from Support B, Distance from Support A & Length of Beam. We can use 3 other way(s) to calculate the same, which is/are as follows -

Fixed End Moment = (Point Load*Length of Beam)/8
Fixed End Moment = (Load per Unit Length*(Length of Beam^2))/12
Fixed End Moment = (Uniformly Varying Load*(Length of Beam^2))/20

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