Absolute Value of Maximum Moment in Unbraced Beam Segment Calculator

✖The Bending Moment coefficient of moments can be calculated by dividing the support moments by the span length.ⓘ Bending Moment Coefficient [M_coeff]			+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%
✖The moment at Centerline is the absolute value of moment at the centerline of the unbraced beam segment.ⓘ Moment at Centerline [M_B]			+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 maximum Moment is the absolute value of the maximum moment in the unbraced beam segment.ⓘ Absolute Value of Maximum Moment in Unbraced Beam Segment [M'max]

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Absolute Value of Maximum Moment in Unbraced Beam Segment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Moment = (Bending Moment Coefficient*((3*Moment at Quarter Point)+(4*Moment at Centerline)+(3*Moment at Three-quarter Point)))/(12.5-(Bending Moment Coefficient*2.5))
M'max = (M_coeff*((3*M_A)+(4*M_B)+(3*M_C)))/(12.5-(M_coeff*2.5))
This formula uses 5 Variables

Variables Used

Maximum Moment - (Measured in Newton Meter) - The maximum Moment is the absolute value of the maximum moment in the unbraced beam segment.
Bending Moment Coefficient - (Measured in Newton Meter) - The Bending Moment coefficient of moments can be calculated by dividing the support moments by the span length.
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 Centerline - (Measured in Newton Meter) - The moment at Centerline is the absolute value of moment at the centerline 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

Bending Moment Coefficient: 1.32 Newton Meter --> 1.32 Newton Meter No Conversion Required
Moment at Quarter Point: 30 Newton Meter --> 30 Newton Meter No Conversion Required
Moment at Centerline: 50.02 Newton Meter --> 50.02 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'max = (M_coeff*((3*M_A)+(4*M_B)+(3*M_C)))/(12.5-(M_coeff*2.5)) --> (1.32*((3*30)+(4*50.02)+(3*20.01)))/(12.5-(1.32*2.5))

Evaluating ... ...

M'max = 50.2331739130435

STEP 3: Convert Result to Output's Unit

50.2331739130435 Newton Meter --> No Conversion Required

FINAL ANSWER

50.2331739130435 ≈ 50.23317 Newton Meter <-- Maximum Moment

(Calculation completed in 00.020 seconds)

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Osmania University (OU), Hyderabad

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< Continuous Beams Calculators

Condition for Maximum Moment in Interior Spans of Beams with Plastic Hinge

LaTeX Go Distance of point where Moment is Maximum = (Length of Rectangular Beam/2)-((Ratio between Plastic Moments*Plastic Moment)/(Uniformly Distributed Load*Length of Rectangular Beam))

Absolute Value of Maximum Moment in Unbraced Beam Segment

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

Condition for Maximum Moment in Interior Spans of Beams

LaTeX Go Point of Maximum Moment = (Length of Rectangular Beam/2)-(Maximum Bending Moment/(Uniformly Distributed Load*Length of Rectangular Beam))

Ultimate Load for Continuous Beam

LaTeX Go Ultimate Load = (4*Plastic Moment*(1+Ratio between Plastic Moments))/Length of Rectangular Beam

Absolute Value of Maximum Moment in Unbraced Beam Segment Formula

LaTeX Go

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.

How to Calculate Absolute Value of Maximum Moment in Unbraced Beam Segment?

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

How to calculate Absolute Value of Maximum Moment in Unbraced Beam Segment using this online calculator? To use this online calculator for Absolute Value of Maximum Moment in Unbraced Beam Segment, enter Bending Moment Coefficient (M_coeff), Moment at Quarter Point (M_A), Moment at Centerline (M_B) & Moment at Three-quarter Point (M_C) and hit the calculate button. Here is how the Absolute Value of Maximum Moment in Unbraced Beam Segment calculation can be explained with given input values -> 50.22887 = (1.32*((3*30)+(4*50.02)+(3*20.01)))/(12.5-(1.32*2.5)).

FAQ

What is Absolute Value of Maximum Moment in Unbraced Beam Segment?

The Absolute Value of Maximum Moment in Unbraced Beam Segment formula 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'max = (M_coeff*((3*M_A)+(4*M_B)+(3*M_C)))/(12.5-(M_coeff*2.5)) or Maximum Moment = (Bending Moment Coefficient*((3*Moment at Quarter Point)+(4*Moment at Centerline)+(3*Moment at Three-quarter Point)))/(12.5-(Bending Moment Coefficient*2.5)). The Bending Moment coefficient of moments can be calculated by dividing the support moments by the span length, The moment at Quarter Point is the absolute value of the moment at the quarter point of the unbraced beam segment, The moment at Centerline is the absolute value of moment at the centerline 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 Maximum Moment in Unbraced Beam Segment?

The Absolute Value of Maximum Moment in Unbraced Beam Segment formula 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 Maximum Moment = (Bending Moment Coefficient*((3*Moment at Quarter Point)+(4*Moment at Centerline)+(3*Moment at Three-quarter Point)))/(12.5-(Bending Moment Coefficient*2.5)). To calculate Absolute Value of Maximum Moment in Unbraced Beam Segment, you need Bending Moment Coefficient (M_coeff), Moment at Quarter Point (M_A), Moment at Centerline (M_B) & Moment at Three-quarter Point (M_C). With our tool, you need to enter the respective value for Bending Moment Coefficient, Moment at Quarter Point, Moment at Centerline & 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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