Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has created this Calculator and 400+ more calculators!
M Naveen
National Institute of Technology (NIT), Warangal
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3 Other formulas that you can solve using the same Inputs

Ultimate Moment of unbraced length for Compact Section when Maximum Unbraced Length is Given
Maximum Ultimate Moment=2200*Smaller Moment/(3600-Maximum Unbraced Length*yield strength of steel/Least Radius of Gyration) 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

1 Other formulas that calculate the same Output

Modifier for Moment Gradient
Moment Gradient Factor=1.75+(1.05*(Smaller beam end moment/Larger beam end moment))+(0.3*(Smaller beam end moment/Larger beam end moment)^2) GO

Moment Gradient Factor when Smaller and Larger Beam End Moment is Given Formula

Moment Gradient Factor=1.75+1.05*(Smaller Moment/Larger Beam End Moment)+0.3*(Smaller Moment/Larger Beam End Moment)^2
C<sub>b</sub>=1.75+1.05*(M<sup>1</sup>/M<sup>2</sup>)+0.3*(M<sup>1</sup>/M<sup>2</sup>)^2
More formulas
Shear Capacity for Flexural Members GO
Shear Capacity for Girders with Transverse Stiffeners GO
Allowable Stress when Slenderness Ratio is Less than Cc GO
Allowable Stress when Slenderness Ratio is Equal to or Greater than Cc GO
Maximum Strength for Compression Members GO
Column Gross Effective Area when Maximum Strength is Given GO
Buckling Stress when Maximum Strength is Given GO
Q Factor GO
Steel Yield Strength when Q Factor is Given GO
Buckling Stress when Q Factor is Greater Than 1 GO
Buckling Stress when Q Factor is Less Than or Equal to 1 GO
Steel Yield Strength when Buckling Stress for Q Factor Less Than or Equal to 1 is Given GO
Steel Yield Strength when Buckling Stress for Q Factor Greater Than 1 is Given GO
Allowable Unit Load for Bridges using Structural Carbon Steel GO
Ultimate Unit Load for Bridges using Structural Carbon Steel GO
Allowable Unit Stress in Bending GO
Steel Yield Strength when Allowable Unit Stress in Bending is Given GO
Minimum Moment of Inertia of a Transverse Stiffener GO
Actual Stiffener Spacing when Minimum Moment of Inertia of a Transverse Stiffener is Given GO
Web Thickness when Minimum Moment of Inertia of a Transverse Stiffener is Given GO
Gross Cross-Sectional Area of Intermediate Stiffeners GO
Multiplier for allowable stress when flange bending stress does not exceed the allowable stress GO
Maximum bending strength for Symmetrical Flexural Compact Section for LFD of Bridges GO
Maximum bending strength for Symmetrical Flexural Braced Non-Compacted Section for LFD of Bridges GO
Minimum Flange Thickness for Symmetrical Flexural Compact Section for LFD of Bridges GO
Minimum Flange Thickness for Symmetrical Flexural Braced Non-Compact Section for LFD of Bridges GO
Minimum Web Thickness for Symmetrical Flexural Braced Non-Compact Section for LFD of Bridges GO
Minimum Web Thickness for Symmetrical Flexural Compact Section for LFD of Bridges GO
Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges GO
Maximum Unbraced Length for Symmetrical Flexural Braced Non-Compact Section for LFD of Bridges GO
Ultimate Moment Capacity for Symmetrical Flexural Sections for LFD of Bridges GO
Steel yield strength for Compact Section for LFD when Maximum Bending Moment is Given GO
Steel yield strength for Braced Non-Compact Section for LFD when Maximum Bending Moment is Given GO
Steel yield strength for Braced Non-Compact Section for LFD when Minimum Flange Thickness is Given GO
Steel yield strength for Compact Section for LFD when Minimum Flange Thickness is Given GO
Steel yield strength for Compact Section for LFD when Minimum Web Thickness is Given GO
Steel yield strength for Compact Section for LFD when Maximum Unbraced Length is Given GO
Steel yield strength for Braced Non-Compact Section for LFD when Maximum Unbraced Length is Given GO
Plastic Section Modulus for Compact Section for LFD when Maximum Bending Moment is Given GO
Section Modulus for Braced Non-Compact Section for LFD when Maximum Bending Moment is Given GO
Width of Projection of Flange for Braced Non-Compact Section when Maximum Bending Moment is Given GO
Width of Projection of Flange for Compact Section for LFD when Minimum Flange Thickness is Given GO
Depth of Section for Compact Section for LFD when Minimum Web Thickness is Given GO
Unsupported length for Braced Non-Compact Section for LFD when Minimum Web Thickness is Given GO
Depth of Section for Braced Non-Compact Section for LFD when Maximum Unbraced Length is Given GO
Area of Flange for Braced Non-Compact Section for LFD when Maximum Unbraced Length is Given GO
Smaller Moment of unbraced length for Compact Section for LFD when Maximum Unbraced Length is Given GO
Ultimate Moment of unbraced length for Compact Section when Maximum Unbraced Length is Given GO
Allowable Bearing Stresses on Pins for Buildings for LFD GO
Allowable Bearing Stresses on Pins subject to rotation for Bridges for LFD GO
Allowable Bearing Stresses on Pins not subject to rotation for Bridges for LFD GO
Steel yield strength on Pins for Buildings for LFD when Allowable Bearing Stresses is Given GO
Steel yield strength on Pins subject to rotation for Bridges for LFD when Pin Stresses is Given GO
Steel yield strength on Pins not subject to rotation for Bridges for LFD when Pin Stresses is Given GO
Allowable Bearing Stress for expansion rollers and rockers where diameter is up to 635 mm GO
Allowable Bearing Stress for expansion rollers and rockers where diameter is from 635 mm to 3175 mm GO
Steel Yield Strength for milled surface when allowable Bearing Stress for d < 635 mm is Given GO
Steel Yield Strength for milled surface when allowable Bearing Stress for d > 635 mm is Given GO
Diameter of Roller or Rocker for milled surface when Allowable Stress is Given for d < 635 mm GO
Diameter of Roller or Rocker for milled surface when Allowable Stress is Given for d > 635 mm GO
Allowable Bearing Stress for high strength bolts GO
Tensile Strength of connected part when Allowable Bearing Stress for bolts is Given GO
Number of Connectors in Bridges GO
Force in Slab when Number of Connectors in Bridges is Given GO
Reduction Factor when Number of Connectors in Bridges is Given GO
Ultimate Shear Connector Strength when Number of Connectors in Bridges is Given GO
Force in Slab when Total Area of Steel Section is Given GO
Total Area of Steel Section when Force in Slab is Given GO
Steel Yield Strength when Total Area of Steel Section is Given GO
Force in Slab when Effective Concrete Area is Given GO
Effective Concrete Area when Force in Slab is Given GO
28-day Compressive Strength of Concrete when Force in Slab is Given GO
Minimum Number of Connectors for Bridges GO
Force in Slab at Maximum Positive Moments when Minimum Number of Connectors for Bridges is Given GO
Force in Slab at Maximum Negative Moments when Minimum Number of Connectors for Bridges is Given GO
Force in Slab at Maximum Negative Moments when Reinforcing Steel Yield Strength is Given GO
Reduction Factor when Minimum Number of Connectors in Bridges is Given GO
Ultimate Shear Connector Strength when Minimum Number of Connectors in Bridges is Given GO
Area of Longitudinal Reinforcing when Force in Slab at Maximum Negative Moments is Given GO
Reinforcing Steel Yield Strength when Force in Slab at Maximum Negative Moments is Given GO
Allowable Shear stress in Bridges GO
Steel Yield Strength when Allowable Shear stress for Flexural Members in Bridges GO
Shear Buckling Coefficient when Allowable Shear stress for Flexural Members in Bridges is Given GO
Natural frequency of each Cable GO
Span of Cable when Natural frequency of each Cable is Given GO
Cable Tension when Natural frequency of each Cable is Given GO
Fundamental Vibration Mode when Natural frequency of Each Cable is Given GO
Runoff Rate of Rainwater from a bridge during a Rainstorm GO
Average Rainfall Intensity when Runoff Rate of Rainwater from a bridge during a Rainstorm is Given GO
Drainage Area when Runoff Rate of Rainwater from a bridge during a Rainstorm is Given GO
Runoff Coefficient when Runoff Rate of Rainwater from a bridge during a Rainstorm is Given GO
Deck Width for handling the Rainwater Runoff to the Drain Scuppers GO
Shoulder Width when Deck Width for handling the Rainwater Runoff to the Drain Scuppers is Given GO
Traffic Lane when Deck Width for handling the Rainwater Runoff to the Drain Scuppers is Given GO

What is Moment Gradient Factor ?

Moment Gradient Factor is well known that if the moment in an I-beam is not constant throughout, the lateral–torsional buckling moment is greater than the same moment in pure bending. In other words, the value of moment-gradient factor is always greater than unity.

How to Calculate Moment Gradient Factor when Smaller and Larger Beam End Moment is Given?

Moment Gradient Factor when Smaller and Larger Beam End Moment is Given calculator uses Moment Gradient Factor=1.75+1.05*(Smaller Moment/Larger Beam End Moment)+0.3*(Smaller Moment/Larger Beam End Moment)^2 to calculate the Moment Gradient Factor, The Moment Gradient Factor when Smaller and Larger Beam End Moment is Given formula is defined as a factor that varies with respect to length of the beam depending on end conditions. Moment Gradient Factor and is denoted by Cb symbol.

How to calculate Moment Gradient Factor when Smaller and Larger Beam End Moment is Given using this online calculator? To use this online calculator for Moment Gradient Factor when Smaller and Larger Beam End Moment is Given, enter Smaller Moment (M1) and Larger Beam End Moment (M2) and hit the calculate button. Here is how the Moment Gradient Factor when Smaller and Larger Beam End Moment is Given calculation can be explained with given input values -> 1.750105 = 1.75+1.05*(0.001/10)+0.3*(0.001/10)^2.

FAQ

What is Moment Gradient Factor when Smaller and Larger Beam End Moment is Given?
The Moment Gradient Factor when Smaller and Larger Beam End Moment is Given formula is defined as a factor that varies with respect to length of the beam depending on end conditions and is represented as Cb=1.75+1.05*(M1/M2)+0.3*(M1/M2)^2 or Moment Gradient Factor=1.75+1.05*(Smaller Moment/Larger Beam End Moment)+0.3*(Smaller Moment/Larger Beam End Moment)^2. Smaller Moment at ends of unbraced length of member and Larger Beam End Moment is maximum moment between two ends of the beam.
How to calculate Moment Gradient Factor when Smaller and Larger Beam End Moment is Given?
The Moment Gradient Factor when Smaller and Larger Beam End Moment is Given formula is defined as a factor that varies with respect to length of the beam depending on end conditions is calculated using Moment Gradient Factor=1.75+1.05*(Smaller Moment/Larger Beam End Moment)+0.3*(Smaller Moment/Larger Beam End Moment)^2. To calculate Moment Gradient Factor when Smaller and Larger Beam End Moment is Given, you need Smaller Moment (M1) and Larger Beam End Moment (M2). With our tool, you need to enter the respective value for Smaller Moment and Larger Beam End Moment and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Moment Gradient Factor?
In this formula, Moment Gradient Factor uses Smaller Moment and Larger Beam End Moment. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Moment Gradient Factor=1.75+(1.05*(Smaller beam end moment/Larger beam end moment))+(0.3*(Smaller beam end moment/Larger beam end moment)^2)
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