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Maximum Ultimate Moment when Neutral Axis Lies in Web Calculator

Category Engineering ↺
Engineering Civil ↺
Civil Concrete ↺
Concrete Ultimate Strength Design of I and T Beams ↺
✖area tensile steel is the area of tensile steelⓘ area tensile steel [As]
+10%
-10%
✖tensile steel area for strength is area of tensile steel required to develop compressive strength of overhanging flange.ⓘ tensile steel area for strength [Ast]
+10%
-10%
✖yield strength of steel is the level of stress that corresponds to the yield point.ⓘ yield strength of steel [fy]
+10%
-10%
✖Depth is the distance from the top or surface to the bottom of something.ⓘ Depth [d]
+10%
-10%
✖depth of equivalent rcsd is depth of equivalent rectangular compressive stress distribution.ⓘ depth of equivalent rcsd [a]
+10%
-10%
✖Flange Thickness is the thickness of flange in a protruded ridge, lip or rim, either external or internal of a beam such as an I-beam or a T-beam.ⓘ Flange Thickness [t]
+10%
-10%
✖Maximum Ultimate Moment is the moment acting on the beam at its maximum capacity.ⓘ Maximum Ultimate Moment when Neutral Axis Lies in Web [Mu]
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Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
Mridul Sharma has created this Calculator and 100+ more calculators!
Rudrani Tidke
Cummins College of Engineering for Women (CCEW), Pune
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11 Other formulas that you can solve using the same Inputs

Moment Resistance of Concrete when Stress in Concrete is Given
Moment Resistance of Concrete=((stress in concrete*Beam Width*Flange Thickness*Ratio of Distance between centroids *Effective depth of beam)/(2*Ratio of Depth of Compression Area to Depth d*Effective depth of beam))*(2*Ratio of Depth of Compression Area to Depth d*Effective depth of beam-Flange Thickness) GO
Distance from Extreme Compression Surface to Neutral Axis
distance to neutral axis=(2*Modular Ratio*area tensile steel*distance to centroid of tensile steel+width of beam*(Flange Thickness^2))/(2*Modular Ratio*area tensile steel+2*width of beam*Flange Thickness) GO
Total Compressive Force when Concrete Stress is Given
total compressive force=stress in concrete*(2*distance to neutral axis-Flange Thickness)*(width of beam*Flange Thickness)/(2*distance to neutral axis) GO
Moment Resistance of Concrete when Flange Thickness is Given
Moment Resistance of Concrete=1/2*28 Day Compressive Strength of Concrete*Beam Width*Flange Thickness*(Effective depth of beam-(Flange Thickness/2)) GO
Equivalent Rectangular Compressive Stress Distribution Depth
depth of equivalent rcsd=(area tensile steel-tensile steel area for strength)*yield strength of steel/(0.85*strength of concrete*Width of beam web) GO
Moment Resistance of Steel when Flange Thickness is Given
Moment Resistance of Steel=area of tension reinforcement*Tensile Stress in Steel*(Effective depth of beam-(Flange Thickness/2)) GO
Variation of acceleration due to gravity on the depth
Variation of acceleration due to gravity=Acceleration Due To Gravity*(1-Depth/[Earth-R]) GO
Distance when the Neutral Axis Lies in the Flange
distance from surface to n-axis=(1.18*value of omega*Depth)/constant beta one GO
ω when the Neutral Axis Lies in the Flange
value of omega=distance from surface to n-axis*constant beta one/(1.18*Depth) GO
Total Compressive Force when Area and Tensile Steel Stress is Given
total compressive force=area tensile steel*stress in tensile steel GO
Lateral strain in terms of decrease in depth
Lateral Strain=Decrease in depth/Depth GO

2 Other formulas that calculate the same Output

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
Ultimate Moment Capacity for Symmetrical Flexural Sections for LFD of Bridges
Maximum Ultimate Moment=yield strength of steel*Plastic Section Modulus GO

Maximum Ultimate Moment when Neutral Axis Lies in Web Formula

Maximum Ultimate Moment=0.9*((area tensile steel-tensile steel area for strength)*yield strength of steel*(Depth-depth of equivalent rcsd/2)+tensile steel area for strength*yield strength of steel*(Depth-Flange Thickness/2))
M<sub>u</sub>=0.9*((A<sub>s</sub>-A<sub>st</sub>)*f<sub>y</sub>*(d-a/2)+A<sub>st</sub>*f<sub>y</sub>*(d-t/2))
More formulas
Distance when the Neutral Axis Lies in the Flange GO
Depth when the Neutral Axis Lies in the Flange GO
ω when the Neutral Axis Lies in the Flange GO
Equivalent Rectangular Compressive Stress Distribution Depth GO

What is ultimate moment capacity?

The ultimate moment capacity is the moment acting on the beam at its capacity. The estimated nominal moment capacity should be multiplied by the strength reduction factors to give the design ultimate moment capacity of the beam. This can be represented using the symbol Mu .

How to Calculate Maximum Ultimate Moment when Neutral Axis Lies in Web?

Maximum Ultimate Moment when Neutral Axis Lies in Web calculator uses Maximum Ultimate Moment=0.9*((area tensile steel-tensile steel area for strength)*yield strength of steel*(Depth-depth of equivalent rcsd/2)+tensile steel area for strength*yield strength of steel*(Depth-Flange Thickness/2)) to calculate the Maximum Ultimate Moment, The Maximum Ultimate Moment when Neutral Axis Lies in Web formula calculates the moment acting on the beam on its maximum capacity. Maximum Ultimate Moment and is denoted by Mu symbol.

How to calculate Maximum Ultimate Moment when Neutral Axis Lies in Web using this online calculator? To use this online calculator for Maximum Ultimate Moment when Neutral Axis Lies in Web, enter area tensile steel (As), tensile steel area for strength (Ast), yield strength of steel (fy), Depth (d), depth of equivalent rcsd (a) and Flange Thickness (t) and hit the calculate button. Here is how the Maximum Ultimate Moment when Neutral Axis Lies in Web calculation can be explained with given input values -> 0.09 = 0.9*((1E-06-1E-06)*2000000*(0.1-0.001/2)+1E-06*2000000*(0.1-0.1/2)).

FAQ

What is Maximum Ultimate Moment when Neutral Axis Lies in Web?
The Maximum Ultimate Moment when Neutral Axis Lies in Web formula calculates the moment acting on the beam on its maximum capacity and is represented as Mu=0.9*((As-Ast)*fy*(d-a/2)+Ast*fy*(d-t/2)) or Maximum Ultimate Moment=0.9*((area tensile steel-tensile steel area for strength)*yield strength of steel*(Depth-depth of equivalent rcsd/2)+tensile steel area for strength*yield strength of steel*(Depth-Flange Thickness/2)). area tensile steel is the area of tensile steel, tensile steel area for strength is area of tensile steel required to develop compressive strength of overhanging flange, yield strength of steel is the level of stress that corresponds to the yield point, Depth is the distance from the top or surface to the bottom of something, depth of equivalent rcsd is depth of equivalent rectangular compressive stress distribution and Flange Thickness is the thickness of flange in a protruded ridge, lip or rim, either external or internal of a beam such as an I-beam or a T-beam.
How to calculate Maximum Ultimate Moment when Neutral Axis Lies in Web?
The Maximum Ultimate Moment when Neutral Axis Lies in Web formula calculates the moment acting on the beam on its maximum capacity is calculated using Maximum Ultimate Moment=0.9*((area tensile steel-tensile steel area for strength)*yield strength of steel*(Depth-depth of equivalent rcsd/2)+tensile steel area for strength*yield strength of steel*(Depth-Flange Thickness/2)). To calculate Maximum Ultimate Moment when Neutral Axis Lies in Web, you need area tensile steel (As), tensile steel area for strength (Ast), yield strength of steel (fy), Depth (d), depth of equivalent rcsd (a) and Flange Thickness (t). With our tool, you need to enter the respective value for area tensile steel, tensile steel area for strength, yield strength of steel, Depth, depth of equivalent rcsd and Flange Thickness 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 Maximum Ultimate Moment?
In this formula, Maximum Ultimate Moment uses area tensile steel, tensile steel area for strength, yield strength of steel, Depth, depth of equivalent rcsd and Flange Thickness. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Maximum Ultimate Moment=yield strength of steel*Plastic Section Modulus
  • Maximum Ultimate Moment=2200*Smaller Moment/(3600-Maximum Unbraced Length*yield strength of steel/Least Radius of Gyration)
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