Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has created this Calculator and 400+ more calculators!
Alithea Fernandes
Don Bosco College of Engineering (DBCE), Goa
Alithea Fernandes has verified this Calculator and 100+ more calculators!

10 Other formulas that you can solve using the same Inputs

Absolute Value of Max Moment in the Unbraced Beam Segment
Maximum Moment=(Bending Moment coefficient*((3*Moment at Quater point)+(4*Moment at Centerline)+(3*Moment at Three-quarter Point)))/(12.5-(Bending Moment coefficient*2.5)) GO
Absolute Value of Moment at Three-Quarter Point of the Unbraced Beam Segment
Moment at Three-quarter Point=((12.5*Maximum Moment)-(2.5*Maximum Moment+4*Moment at Centerline+3*Moment at Quater point))/3 GO
Absolute Value of Moment at Quarter Point of the Unbraced Beam Segment
Moment at Quater point=((12.5*Maximum Moment)-(2.5*Maximum Moment+4*Moment at Centerline+3*Moment at Three-quarter Point))/3 GO
Absolute Value of Moment at Centerline of the Unbraced Beam Segment
Moment at Centerline=((12.5*Maximum Moment)-(2.5*Maximum Moment+3*Moment at Quater point+3*Moment at Three-quarter Point))/4 GO
Moment at Concentrated Load when Number of Shear Connectors are Given
moment at concentrated load= ((((Number of shear connectors*(Beta-1))/Number of shear connectors)+1)*Maximum Moment)/Beta GO
Number of Shear Connectors Between M max and Zero Moment when Number of Shear Connectors are Given
Number of shear connectors=((Beta-1)*Number of shear connectors)/((moment at concentrated load*Beta/Maximum Moment)-1) GO
Steel yield strength for Compact Section for LFD when Maximum Unbraced Length is Given
yield strength of steel=((3600-2200*(Smaller Moment/Maximum Moment))*Least Radius of Gyration)/Maximum Unbraced Length GO
Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges
Maximum Unbraced Length=((3600-2200*(Smaller Moment/Maximum Moment))*Least Radius of Gyration)/yield strength of steel GO
The number of shear connectors
Number of shear connectors= Number of shear connectors*((moment at concentrated load*Beta/Maximum Moment)-1)/(Beta-1) GO
Uniform Pressure on Soil when Maximum Moment is Given
uniform pressure on soil= (8*Maximum Moment)/((Width of the Footing-Wall thickness)^2) GO

Critical Bending Coefficient Formula

Bending Moment coefficient=(12.5*Maximum Moment)/((2.5*Maximum Moment)+(3*Moment at Quater point)+(4*Moment at Centerline)+(3*Moment at Three-quarter Point))
C<sub>b=(12.5*M<sub>max)/((2.5*M<sub>max)+(3*M<sub>A)+(4*M<sub>B)+(3*M<sub>C))
More formulas
Critical Bending Moment in Non-Uniform Bending GO
Absolute Value of Moment at Quarter Point of the Unbraced Beam Segment GO
Absolute Value of Moment at Centerline of the Unbraced Beam Segment GO
Absolute Value of Moment at Three-Quarter Point of the Unbraced Beam Segment GO

Define critical bending moment?

The critical bending moment is crucial in the proper design of bent beams susceptible to LTB, as it allows for slenderness calculation. In “typical” cases everything is ok since code equations allow engineers to obtain the value of the critical moment.

How to Calculate Critical Bending Coefficient?

Critical Bending Coefficient calculator uses Bending Moment coefficient=(12.5*Maximum Moment)/((2.5*Maximum Moment)+(3*Moment at Quater point)+(4*Moment at Centerline)+(3*Moment at Three-quarter Point)) to calculate the Bending Moment coefficient, Critical Bending Coefficient is equal to the ratio of each load case critical moment to the pure bending critical moment of the beam. Bending Moment coefficient and is denoted by Cb symbol.

How to calculate Critical Bending Coefficient using this online calculator? To use this online calculator for Critical Bending Coefficient, enter Maximum Moment (Mmax), Moment at Quater point (MA), Moment at Centerline (MB) and Moment at Three-quarter Point (MC) and hit the calculate button. Here is how the Critical Bending Coefficient calculation can be explained with given input values -> 1.315789 = (12.5*50)/((2.5*50)+(3*30)+(4*50)+(3*20)).

FAQ

What is Critical Bending Coefficient?
Critical Bending Coefficient is equal to the ratio of each load case critical moment to the pure bending critical moment of the beam and is represented as Cb=(12.5*Mmax)/((2.5*Mmax)+(3*MA)+(4*MB)+(3*MC)) or Bending Moment coefficient=(12.5*Maximum Moment)/((2.5*Maximum Moment)+(3*Moment at Quater point)+(4*Moment at Centerline)+(3*Moment at Three-quarter Point)). The maximum Moment is the absolute value of the maximum moment in the unbraced beam segment, The moment at Quater 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 and Moment at Three-quarter Point is the absolute value of moment at three-quarter point of the unbraced beam segment. .
How to calculate Critical Bending Coefficient?
Critical Bending Coefficient is equal to the ratio of each load case critical moment to the pure bending critical moment of the beam is calculated using Bending Moment coefficient=(12.5*Maximum Moment)/((2.5*Maximum Moment)+(3*Moment at Quater point)+(4*Moment at Centerline)+(3*Moment at Three-quarter Point)). To calculate Critical Bending Coefficient, you need Maximum Moment (Mmax), Moment at Quater point (MA), Moment at Centerline (MB) and Moment at Three-quarter Point (MC). With our tool, you need to enter the respective value for Maximum Moment, Moment at Quater point, Moment at Centerline and 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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