Condition for Maximum Moment in Interior Spans of Beams Calculator

✖Length of Rectangular Beam is the measurement or extent of something from end to end.ⓘ Length of Rectangular Beam [Len]			+10% -10%
✖The Maximum Bending Moment is the absolute value of the maximum moment in the unbraced beam segment.ⓘ Maximum Bending Moment [M_max]			+10% -10%
✖Uniformly distributed Load (UDL) is a load that is distributed or spread across the whole region of an element whose magnitude of the load remains uniform throughout the whole element.ⓘ Uniformly Distributed Load [q]			+10% -10%

✖Point of Maximum Moment is the distance of the point from the support where bending moment of beam is maximum.ⓘ Condition for Maximum Moment in Interior Spans of Beams [x'']

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Formula

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Condition for Maximum Moment in Interior Spans of Beams

Formula

`"x''" = ("Len"/2)-("M"_{"max"}/("q"*"Len"))`

Example

`"1.499666m"=("3m"/2)-("10.03N*m"/("10.0006kN/m"*"3m"))`

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Condition for Maximum Moment in Interior Spans of Beams Solution

STEP 0: Pre-Calculation Summary

Formula Used

Point of Maximum Moment = (Length of Rectangular Beam/2)-(Maximum Bending Moment/(Uniformly Distributed Load*Length of Rectangular Beam))
x'' = (Len/2)-(M_max/(q*Len))
This formula uses 4 Variables

Variables Used

Point of Maximum Moment - (Measured in Meter) - Point of Maximum Moment is the distance of the point from the support where bending moment of beam is maximum.
Length of Rectangular Beam - (Measured in Meter) - Length of Rectangular Beam is the measurement or extent of something from end to end.
Maximum Bending Moment - (Measured in Newton Meter) - The Maximum Bending Moment is the absolute value of the maximum moment in the unbraced beam segment.
Uniformly Distributed Load - (Measured in Newton per Meter) - Uniformly distributed Load (UDL) is a load that is distributed or spread across the whole region of an element whose magnitude of the load remains uniform throughout the whole element.

STEP 1: Convert Input(s) to Base Unit

Length of Rectangular Beam: 3 Meter --> 3 Meter No Conversion Required
Maximum Bending Moment: 10.03 Newton Meter --> 10.03 Newton Meter No Conversion Required
Uniformly Distributed Load: 10.0006 Kilonewton per Meter --> 10000.6 Newton per Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

x'' = (Len/2)-(M_max/(q*Len)) --> (3/2)-(10.03/(10000.6*3))

Evaluating ... ...

x'' = 1.49966568672546

STEP 3: Convert Result to Output's Unit

1.49966568672546 Meter --> No Conversion Required

FINAL ANSWER

1.49966568672546 ≈ 1.499666 Meter <-- Point of Maximum Moment

(Calculation completed in 00.004 seconds)

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< 4 Continuous Beams Calculators

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

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

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

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

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

Condition for Maximum Moment in Interior Spans of Beams Formula

Point of Maximum Moment = (Length of Rectangular Beam/2)-(Maximum Bending Moment/(Uniformly Distributed Load*Length of Rectangular Beam))
x'' = (Len/2)-(M_max/(q*Len))

What is Condition for Maximum Moment in Interior Spans of Beams?

Bending Moment refers to the bending of the beam or any structure upon the action of the arbitrary load. Maximum bending moment in the beam occurs at the point of maximum stress. Also, maximum bending moment will be at the point where shear force changes its sign i.e., zero.

How to Calculate Condition for Maximum Moment in Interior Spans of Beams?

Condition for Maximum Moment in Interior Spans of Beams calculator uses Point of Maximum Moment = (Length of Rectangular Beam/2)-(Maximum Bending Moment/(Uniformly Distributed Load*Length of Rectangular Beam)) to calculate the Point of Maximum Moment, The Condition for Maximum Moment in Interior Spans of Beams formula is defined as the distance from the support where the bending moment of a beam carrying uniformly distributed load is maximum and where the shear force is zero. Point of Maximum Moment is denoted by x'' symbol.

How to calculate Condition for Maximum Moment in Interior Spans of Beams using this online calculator? To use this online calculator for Condition for Maximum Moment in Interior Spans of Beams, enter Length of Rectangular Beam (Len), Maximum Bending Moment (M_max) & Uniformly Distributed Load (q) and hit the calculate button. Here is how the Condition for Maximum Moment in Interior Spans of Beams calculation can be explained with given input values -> 1.499666 = (3/2)-(10.03/(10000.6*3)).

FAQ

What is Condition for Maximum Moment in Interior Spans of Beams?

The Condition for Maximum Moment in Interior Spans of Beams formula is defined as the distance from the support where the bending moment of a beam carrying uniformly distributed load is maximum and where the shear force is zero and is represented as x'' = (Len/2)-(M_max/(q*Len)) or Point of Maximum Moment = (Length of Rectangular Beam/2)-(Maximum Bending Moment/(Uniformly Distributed Load*Length of Rectangular Beam)). Length of Rectangular Beam is the measurement or extent of something from end to end, The Maximum Bending Moment is the absolute value of the maximum moment in the unbraced beam segment & Uniformly distributed Load (UDL) is a load that is distributed or spread across the whole region of an element whose magnitude of the load remains uniform throughout the whole element.

How to calculate Condition for Maximum Moment in Interior Spans of Beams?

The Condition for Maximum Moment in Interior Spans of Beams formula is defined as the distance from the support where the bending moment of a beam carrying uniformly distributed load is maximum and where the shear force is zero is calculated using Point of Maximum Moment = (Length of Rectangular Beam/2)-(Maximum Bending Moment/(Uniformly Distributed Load*Length of Rectangular Beam)). To calculate Condition for Maximum Moment in Interior Spans of Beams, you need Length of Rectangular Beam (Len), Maximum Bending Moment (M_max) & Uniformly Distributed Load (q). With our tool, you need to enter the respective value for Length of Rectangular Beam, Maximum Bending Moment & Uniformly Distributed Load 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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