Ultimate Load for Continuous Beam Calculator

✖Plastic Moment is the moment at which the entire cross section has reached its yield stress.ⓘ Plastic Moment [M_p]			+10% -10%
✖Ratio between Plastic Moments is the ratio of plastic moment at the ends to the plastic moment at the center.ⓘ Ratio between Plastic Moments [k]			+10% -10%
✖Length of Rectangular Beam is the measurement or extent of something from end to end.ⓘ Length of Rectangular Beam [Len]			+10% -10%

✖Ultimate Load is the Limit Load multiplied by a prescribed Safety Factor of 1.5.ⓘ Ultimate Load for Continuous Beam [U]

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Ultimate Load for Continuous Beam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ultimate Load = (4*Plastic Moment*(1+Ratio between Plastic Moments))/Length of Rectangular Beam
U = (4*M_p*(1+k))/Len
This formula uses 4 Variables

Variables Used

Ultimate Load - (Measured in Newton) - Ultimate Load is the Limit Load multiplied by a prescribed Safety Factor of 1.5.
Plastic Moment - (Measured in Newton Meter) - Plastic Moment is the moment at which the entire cross section has reached its yield stress.
Ratio between Plastic Moments - Ratio between Plastic Moments is the ratio of plastic moment at the ends to the plastic moment at the center.
Length of Rectangular Beam - (Measured in Meter) - Length of Rectangular Beam is the measurement or extent of something from end to end.

STEP 1: Convert Input(s) to Base Unit

Plastic Moment: 10.007 Kilonewton Meter --> 10007 Newton Meter (Check conversion here)
Ratio between Plastic Moments: 0.75 --> No Conversion Required
Length of Rectangular Beam: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U = (4*M_p*(1+k))/Len --> (4*10007*(1+0.75))/3

Evaluating ... ...

U = 23349.6666666667

STEP 3: Convert Result to Output's Unit

23349.6666666667 Newton -->23.3496666666667 Kilonewton (Check conversion here)

FINAL ANSWER

23.3496666666667 ≈ 23.34967 Kilonewton <-- Ultimate Load

(Calculation completed in 00.007 seconds)

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Created by Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

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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

Ultimate Load for Continuous Beam Formula

LaTeX Go

Ultimate Load = (4*Plastic Moment*(1+Ratio between Plastic Moments))/Length of Rectangular Beam
U = (4*M_p*(1+k))/Len

What is Continuous Beam?

A continuous beam is a beam that is loaded and has more than two supports. The continuous supported beam can withstand greater loads by providing greater bending resistance along the length of the beam.

How to Calculate Ultimate Load for Continuous Beam?

Ultimate Load for Continuous Beam calculator uses Ultimate Load = (4*Plastic Moment*(1+Ratio between Plastic Moments))/Length of Rectangular Beam to calculate the Ultimate Load, The Ultimate Load for Continuous Beam formula is defined as the Limit Load multiplied by a prescribed Safety Factor of 1.5. The loading conditions are a uniformly distributed load and therefore W=wL. Ultimate Load is denoted by U symbol.

How to calculate Ultimate Load for Continuous Beam using this online calculator? To use this online calculator for Ultimate Load for Continuous Beam, enter Plastic Moment (M_p), Ratio between Plastic Moments (k) & Length of Rectangular Beam (Len) and hit the calculate button. Here is how the Ultimate Load for Continuous Beam calculation can be explained with given input values -> 0.02335 = (4*10007*(1+0.75))/3.

FAQ

What is Ultimate Load for Continuous Beam?

The Ultimate Load for Continuous Beam formula is defined as the Limit Load multiplied by a prescribed Safety Factor of 1.5. The loading conditions are a uniformly distributed load and therefore W=wL and is represented as U = (4*M_p*(1+k))/Len or Ultimate Load = (4*Plastic Moment*(1+Ratio between Plastic Moments))/Length of Rectangular Beam. Plastic Moment is the moment at which the entire cross section has reached its yield stress, Ratio between Plastic Moments is the ratio of plastic moment at the ends to the plastic moment at the center & Length of Rectangular Beam is the measurement or extent of something from end to end.

How to calculate Ultimate Load for Continuous Beam?

The Ultimate Load for Continuous Beam formula is defined as the Limit Load multiplied by a prescribed Safety Factor of 1.5. The loading conditions are a uniformly distributed load and therefore W=wL is calculated using Ultimate Load = (4*Plastic Moment*(1+Ratio between Plastic Moments))/Length of Rectangular Beam. To calculate Ultimate Load for Continuous Beam, you need Plastic Moment (M_p), Ratio between Plastic Moments (k) & Length of Rectangular Beam (Len). With our tool, you need to enter the respective value for Plastic Moment, Ratio between Plastic Moments & Length of Rectangular Beam 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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