Absolute Value of Moment at Centerline of Unbraced Beam Segment Calculator

✖The maximum Moment is the absolute value of the maximum moment in the unbraced beam segment.ⓘ Maximum Moment [M'max]			+10% -10%
✖The moment at Quarter Point is the absolute value of the moment at the quarter point of the unbraced beam segment.ⓘ Moment at Quarter Point [M_A]			+10% -10%
✖Moment at Three-quarter Point is the absolute value of moment at three-quarter point of the unbraced beam segment.ⓘ Moment at Three-quarter Point [M_C]			+10% -10%

✖The moment at Centerline is the absolute value of moment at the centerline of the unbraced beam segment.ⓘ Absolute Value of Moment at Centerline of Unbraced Beam Segment [M_B]

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Formula

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Absolute Value of Moment at Centerline of Unbraced Beam Segment

Formula

`"M"_{"B"} = ((12.5*"M'max")-(2.5*"M'max"+3*"M"_{"A"}+3*"M"_{"C"}))/4`

Example

`"87.5175N*m"=((12.5*"50.01N*m")-(2.5*"50.01N*m"+3*"30N*m"+3*"20.01N*m"))/4`

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Absolute Value of Moment at Centerline of Unbraced Beam Segment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment at Centerline = ((12.5*Maximum Moment)-(2.5*Maximum Moment+3*Moment at Quarter Point+3*Moment at Three-quarter Point))/4
M_B = ((12.5*M'max)-(2.5*M'max+3*M_A+3*M_C))/4
This formula uses 4 Variables

Variables Used

Moment at Centerline - (Measured in Newton Meter) - The moment at Centerline is the absolute value of moment at the centerline of the unbraced beam segment.
Maximum Moment - (Measured in Newton Meter) - The maximum Moment is the absolute value of the maximum moment in the unbraced beam segment.
Moment at Quarter Point - (Measured in Newton Meter) - The moment at Quarter Point is the absolute value of the moment at the quarter point of the unbraced beam segment.
Moment at Three-quarter Point - (Measured in Newton Meter) - Moment at Three-quarter Point is the absolute value of moment at three-quarter point of the unbraced beam segment.

STEP 1: Convert Input(s) to Base Unit

Maximum Moment: 50.01 Newton Meter --> 50.01 Newton Meter No Conversion Required
Moment at Quarter Point: 30 Newton Meter --> 30 Newton Meter No Conversion Required
Moment at Three-quarter Point: 20.01 Newton Meter --> 20.01 Newton Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_B = ((12.5*M'max)-(2.5*M'max+3*M_A+3*M_C))/4 --> ((12.5*50.01)-(2.5*50.01+3*30+3*20.01))/4

Evaluating ... ...

M_B = 87.5175

STEP 3: Convert Result to Output's Unit

87.5175 Newton Meter --> No Conversion Required

FINAL ANSWER

87.5175 Newton Meter <-- Moment at Centerline

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< 11 Elastic Lateral Buckling of Beams Calculators

Critical Bending Moment for Simply Supported Open Section Beam

Go Critical Bending Moment = (pi/Unbraced Length of Member)*sqrt(Modulus of Elasticity*Moment of Inertia about Minor Axis*((Shear Modulus of Elasticity*Torsional Constant)+Modulus of Elasticity*Warping Constant*((pi^2)/(Unbraced Length of Member)^2)))

Unbraced Member Length given Critical Bending Moment of Rectangular Beam

Go Length of Rectangular Beam = (pi/Critical Bending Moment for Rectangular)*(sqrt(Elastic Modulus*Moment of Inertia about Minor Axis*Shear Modulus of Elasticity*Torsional Constant))

Critical Bending Moment for Simply Supported Rectangular Beam

Go Critical Bending Moment for Rectangular = (pi/Length of Rectangular Beam)*(sqrt(Elastic Modulus*Moment of Inertia about Minor Axis*Shear Modulus of Elasticity*Torsional Constant))

Minor Axis Moment of Inertia for Critical Bending Moment of Rectangular Beam

Go Moment of Inertia about Minor Axis = ((Critical Bending Moment for Rectangular*Length of Rectangular Beam)^2)/((pi^2)*Elastic Modulus*Shear Modulus of Elasticity*Torsional Constant)

Shear Elasticity Modulus for Critical Bending Moment of Rectangular Beam

Go Shear Modulus of Elasticity = ((Critical Bending Moment for Rectangular*Length of Rectangular Beam)^2)/((pi^2)*Moment of Inertia about Minor Axis*Elastic Modulus*Torsional Constant)

Elasticity Modulus given Critical Bending Moment of Rectangular Beam

Go Elastic Modulus = ((Critical Bending Moment for Rectangular*Length of Rectangular Beam)^2)/((pi^2)*Moment of Inertia about Minor Axis*Shear Modulus of Elasticity*Torsional Constant)

Critical Bending Coefficient

Go Bending Moment Coefficient = (12.5*Maximum Moment)/((2.5*Maximum Moment)+(3*Moment at Quarter Point)+(4*Moment at Centerline)+(3*Moment at Three-quarter Point))

Absolute Value of Moment at Three-Quarter Point of Unbraced Beam Segment

Go Moment at Three-quarter Point = ((12.5*Maximum Moment)-(2.5*Maximum Moment+4*Moment at Centerline+3*Moment at Quarter Point))/3

Absolute Value of Moment at Quarter Point of Unbraced Beam Segment

Go Moment at Quarter Point = ((12.5*Maximum Moment)-(2.5*Maximum Moment+4*Moment at Centerline+3*Moment at Three-quarter Point))/3

Absolute Value of Moment at Centerline of Unbraced Beam Segment

Go Moment at Centerline = ((12.5*Maximum Moment)-(2.5*Maximum Moment+3*Moment at Quarter Point+3*Moment at Three-quarter Point))/4

Critical Bending Moment in Non-Uniform Bending

Go Non-Uniform Critical Bending Moment = (Bending Moment Coefficient*Critical Bending Moment)

Absolute Value of Moment at Centerline of Unbraced Beam Segment Formula

Moment at Centerline = ((12.5*Maximum Moment)-(2.5*Maximum Moment+3*Moment at Quarter Point+3*Moment at Three-quarter Point))/4
M_B = ((12.5*M'max)-(2.5*M'max+3*M_A+3*M_C))/4

Define Moment

The Moment of a force is a measure of its tendency to cause a body to rotate about a specific point or axis. A moment is due to a force not having an equal and opposite force directly along its line of action.

What does Unbraced length mean?

The distance between ends of a structural member (such as a column) which are prevented from moving normal to the axis of the member, by bracing, by floor slabs, etc.

How to Calculate Absolute Value of Moment at Centerline of Unbraced Beam Segment?

Absolute Value of Moment at Centerline of Unbraced Beam Segment calculator uses Moment at Centerline = ((12.5*Maximum Moment)-(2.5*Maximum Moment+3*Moment at Quarter Point+3*Moment at Three-quarter Point))/4 to calculate the Moment at Centerline, The Absolute Value of Moment at Centerline of Unbraced Beam Segment is a measure of the bending effect that can occur when an external force (or moment) is applied to a structural element. Moment at Centerline is denoted by M_B symbol.

How to calculate Absolute Value of Moment at Centerline of Unbraced Beam Segment using this online calculator? To use this online calculator for Absolute Value of Moment at Centerline of Unbraced Beam Segment, enter Maximum Moment (M'max), Moment at Quarter Point (M_A) & Moment at Three-quarter Point (M_C) and hit the calculate button. Here is how the Absolute Value of Moment at Centerline of Unbraced Beam Segment calculation can be explained with given input values -> 87.525 = ((12.5*50.01)-(2.5*50.01+3*30+3*20.01))/4.

FAQ

What is Absolute Value of Moment at Centerline of Unbraced Beam Segment?

The Absolute Value of Moment at Centerline of Unbraced Beam Segment is a measure of the bending effect that can occur when an external force (or moment) is applied to a structural element and is represented as M_B = ((12.5*M'max)-(2.5*M'max+3*M_A+3*M_C))/4 or Moment at Centerline = ((12.5*Maximum Moment)-(2.5*Maximum Moment+3*Moment at Quarter Point+3*Moment at Three-quarter Point))/4. The maximum Moment is the absolute value of the maximum moment in the unbraced beam segment, The moment at Quarter Point is the absolute value of the moment at the quarter point of the unbraced beam segment & Moment at Three-quarter Point is the absolute value of moment at three-quarter point of the unbraced beam segment.

How to calculate Absolute Value of Moment at Centerline of Unbraced Beam Segment?

The Absolute Value of Moment at Centerline of Unbraced Beam Segment is a measure of the bending effect that can occur when an external force (or moment) is applied to a structural element is calculated using Moment at Centerline = ((12.5*Maximum Moment)-(2.5*Maximum Moment+3*Moment at Quarter Point+3*Moment at Three-quarter Point))/4. To calculate Absolute Value of Moment at Centerline of Unbraced Beam Segment, you need Maximum Moment (M'max), Moment at Quarter Point (M_A) & Moment at Three-quarter Point (M_C). With our tool, you need to enter the respective value for Maximum Moment, Moment at Quarter Point & Moment at Three-quarter Point and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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