Fixed End Moment at Left Support with Couple at Distance A Calculator

✖Moment of couple is equal to the product of either of forces and the perpendicular distance between the forces.ⓘ Moment of Couple [M_c]			+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 Couple at Distance A [FEM]

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Formula

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Fixed End Moment at Left Support with Couple at Distance A

Formula

`"FEM" = ("M"_{"c"}*"b"*(2*"a"-"b"))/("L"^2)`

Example

`"18.26368kN*m"=("85kN*m"*"350mm"*(2*"2250mm"-"350mm"))/(("2600mm")^2)`

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Fixed End Moment at Left Support with Couple at Distance A Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fixed End Moment = (Moment of Couple*Distance from Support B*(2*Distance from Support A-Distance from Support B))/(Length of Beam^2)
FEM = (M_c*b*(2*a-b))/(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.
Moment of Couple - (Measured in Newton Meter) - Moment of couple is equal to the product of either of forces and the perpendicular distance between the forces.
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

Moment of Couple: 85 Kilonewton Meter --> 85000 Newton Meter (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 = (M_c*b*(2*a-b))/(L^2) --> (85000*0.35*(2*2.25-0.35))/(2.6^2)

Evaluating ... ...

FEM = 18263.6834319527

STEP 3: Convert Result to Output's Unit

18263.6834319527 Newton Meter -->18.2636834319527 Kilonewton Meter (Check conversion here)

FINAL ANSWER

18.2636834319527 ≈ 18.26368 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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< 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

Fixed End Moment at Left Support with Couple at Distance A Formula

Fixed End Moment = (Moment of Couple*Distance from Support B*(2*Distance from Support A-Distance from Support B))/(Length of Beam^2)
FEM = (M_c*b*(2*a-b))/(L^2)

What is Fixed End Moment of a Fixed Beam with Couple Moment?

The Fixed End Moment of a Fixed Beam with Couple Moment is reaction moments developed at the support of a beam under couple moment conditions with both ends fixed.

How to Calculate Fixed End Moment at Left Support with Couple at Distance A?

Fixed End Moment at Left Support with Couple at Distance A calculator uses Fixed End Moment = (Moment of Couple*Distance from Support B*(2*Distance from Support A-Distance from Support B))/(Length of Beam^2) to calculate the Fixed End Moment, The Fixed End Moment at Left Support with Couple at Distance A 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 Couple at Distance A using this online calculator? To use this online calculator for Fixed End Moment at Left Support with Couple at Distance A, enter Moment of Couple (M_c), 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 Couple at Distance A calculation can be explained with given input values -> 0.018264 = (85000*0.35*(2*2.25-0.35))/(2.6^2).

FAQ

What is Fixed End Moment at Left Support with Couple at Distance A?

The Fixed End Moment at Left Support with Couple at Distance A formula is defined as reaction moments developed in a beam member under certain load conditions with both ends fixed and is represented as FEM = (M_c*b*(2*a-b))/(L^2) or Fixed End Moment = (Moment of Couple*Distance from Support B*(2*Distance from Support A-Distance from Support B))/(Length of Beam^2). Moment of couple is equal to the product of either of forces and the perpendicular distance between the forces, 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 Couple at Distance A?

The Fixed End Moment at Left Support with Couple at Distance A 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 = (Moment of Couple*Distance from Support B*(2*Distance from Support A-Distance from Support B))/(Length of Beam^2). To calculate Fixed End Moment at Left Support with Couple at Distance A, you need Moment of Couple (M_c), 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 Moment of Couple, 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 Moment of Couple, Distance from Support B, Distance from Support A & Length of Beam. We can use 7 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 = ((Point Load*(Distance from Support B^2)*Distance from Support A)/(Length of Beam^2))
Fixed End Moment = (Uniformly Varying Load*(Length of Beam^2))/20
Fixed End Moment = (5*Uniformly Varying Load*(Length of Beam^2))/96
Fixed End Moment = (2*Point Load*Length of Beam)/9
Fixed End Moment = (15*Point Load*Length of Beam)/48

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