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Bending-Moment Capacity of Ultimate Strength when Area of Tension Reinforcement is Given Calculator

Category Engineering ↺
Engineering Civil ↺
Civil Concrete ↺
Concrete Ultimate Strength Design of Tension Reinforced Rectangular Beams ↺
Ultimate-Strength-Design-Of-Tension-Reinforced-Rectangular-Beams Moment Capacity ↺
✖Area of steel required is the amount of steel required for resisting the shear or diagonal stress as stirrups. ⓘ Area of steel required [As]
+10%
-10%
✖Yield strength of reinforcement is stress at which a predetermined amount of permanent deformation occurs.ⓘ yield strength of reinforcement [fy
+10%
-10%
✖Centroidal distance of tension reinforcement is the distance measured from eternal fiber to centroid of tension reinforcement.ⓘ Centroidal distance of tension reinforcement [d]
+10%
-10%
✖Depth of Rectangular Stress Distribution is the distance from extreme fiber to rectangular stress distribution in compression zone. ⓘ Depth of Rectangular Stress Distribution [a]
+10%
-10%
✖Bending moment of considered section is defined as the sum of moment of all forces acting on one side of the beam or section. ⓘ Bending-Moment Capacity of Ultimate Strength when Area of Tension Reinforcement is Given [Mu]
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Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
Chandana P Dev has created this Calculator and 100+ more calculators!
Himanshi Sharma
Bhilai Institute of Technology (BIT), Raipur
Himanshi Sharma has verified this Calculator and 500+ more calculators!

11 Other formulas that you can solve using the same Inputs

Bending Moment Capacity of Rectangular Beam
Bending moment of considered section=0.90*((Area of steel required-Area of compression reinforcement)*yield strength of reinforcement*(Centroidal distance of tension reinforcement-(Depth of Rectangular Stress Distribution/2))+(Area of compression reinforcement*yield strength of reinforcement*(Centroidal distance of tension reinforcement-Effective cover))) GO
Spacing when Area of Steel in Vertical Stirrups is Given
Stirrup Spacing=(Area of steel required*yield strength of reinforcement*Centroidal distance of tension reinforcement*Capacity reduction factor)/((Shear force in considered section)-(2*Capacity reduction factor*sqrt(28 Day Compressive Strength of Concrete)*Width of beam web*Centroidal distance of tension reinforcement)) GO
Nominal Shear Strength of the Concrete
Nominal shear strength of concrete=(1.9*sqrt(28 Day Compressive Strength of Concrete)+((2500*Reinforcement ratio of web section)*((Shear force in considered section*Centroidal distance of tension reinforcement)/Bending moment of considered section)))*(Width of beam web*Centroidal distance of tension reinforcement) GO
Bending-Moment Capacity of Ultimate Strength when Beam Width is Given
Bending moment of considered section=0.90*(Area of steel required*yield strength of reinforcement*Centroidal distance of tension reinforcement*(1-(0.59*((Tension reinforcement ratio*yield strength of reinforcement))/28 Day Compressive Strength of Concrete))) GO
Tension Reinforcement Area when Axial Load for Tied Columns is Given
area of tension reinforcement=(Bending moment)/(0.40*yield strength of reinforcement*(Distance from Compression to Tensile Reinforcement-Distance from Compression to Centroid Reinforcment)) GO
Depth of Equivalent Rectangular Compressive Stress Distribution
Depth of Rectangular Stress Distribution=((Area of steel required-Area of compression reinforcement)*yield strength of reinforcement)/(28 Day Compressive Strength of Concrete*Beam Width) GO
Stress in Compressive Steel
stress in compressive steel=(Distance from compression fiber to NA-Effective cover/(Centroidal distance of tension reinforcement-Distance from compression fiber to NA))*(2*steel stress) GO
Axial Load for Tied Columns
Bending moment=0.40*area of tension reinforcement*yield strength of reinforcement*(Distance from Compression to Tensile Reinforcement-Distance from Compression to Centroid Reinforcment) GO
Nominal Reinforcement Shear Strength when Area of Steel in Vertical Stirrups is Given
Nominal shear strength by reinforcement=(Area of steel required*yield strength of reinforcement*Centroidal distance of tension reinforcement)/(Stirrup Spacing) GO
Area of Steel Required in Vertical Stirrups
Area of steel required=(Nominal shear strength by reinforcement*Stirrup Spacing)/(yield strength of reinforcement*Centroidal distance of tension reinforcement) GO
Axial Load for Spiral Columns
Bending moment=0.12*Total area*yield strength of reinforcement*Diameter of reinforcement GO

2 Other formulas that calculate the same Output

Bending Moment Capacity of Rectangular Beam
Bending moment of considered section=0.90*((Area of steel required-Area of compression reinforcement)*yield strength of reinforcement*(Centroidal distance of tension reinforcement-(Depth of Rectangular Stress Distribution/2))+(Area of compression reinforcement*yield strength of reinforcement*(Centroidal distance of tension reinforcement-Effective cover))) GO
Bending-Moment Capacity of Ultimate Strength when Beam Width is Given
Bending moment of considered section=0.90*(Area of steel required*yield strength of reinforcement*Centroidal distance of tension reinforcement*(1-(0.59*((Tension reinforcement ratio*yield strength of reinforcement))/28 Day Compressive Strength of Concrete))) GO

Bending-Moment Capacity of Ultimate Strength when Area of Tension Reinforcement is Given Formula

Bending moment of considered section=0.90*(Area of steel required*yield strength of reinforcement*(Centroidal distance of tension reinforcement-(Depth of Rectangular Stress Distribution/2)))
M<sub>u</sub>=0.90*(A<sub>s</sub>*f<sub>y</sub>*(d-(a/2)))
More formulas
Bending-Moment Capacity of Ultimate Strength when Beam Width is Given GO
Ultimate Shear Capacity of a Beam Section GO
Nominal Shear Strength of the Concrete GO
Nominal Shear Strength Provided by Reinforcement GO
Area of Steel Required in Vertical Stirrups GO
Spacing when Area of Steel in Vertical Stirrups is Given GO
Nominal Reinforcement Shear Strength when Area of Steel in Vertical Stirrups is Given GO
Stirrup Spacing for Practical Design GO
Stirrup Area when Stirrup Spacing for Practical Design is Given GO
Stirrup Area when Support Angle is Given GO
Nominal Reinforcement Shear Strength when Stirrup Area with Support Angle is Given GO
Shear Reinforcement Yield Strength when Stirrup Area with Support Angle is Given GO
Stirrups Area when Inclined Stirrups are Used GO
Nominal Reinforcement Shear Strength when Stirrups Area for Inclined Stirrups is Given GO
Development Length for Simple Support GO
Computed Flexural Strength when Development Length for Simple Support is Given GO
Applied Shear at Section when Development Length for Simple Support is Given GO
Embedment Length Beyond Inflection Point when Development Length for Simple Support is Given GO
Development Length for a Hooked Bar GO
Bar Diameter when Development Length for a Hooked Bar is Given GO
28-Day Concrete Compressive Strength when Development Length for a Hooked Bar is Given GO

What is bending moment capacity?

For an elastic design, a structure or a section considered should always have a greater bending moment capacity that the design moment so that the section will not subject to failure.

How to Calculate Bending-Moment Capacity of Ultimate Strength when Area of Tension Reinforcement is Given?

Bending-Moment Capacity of Ultimate Strength when Area of Tension Reinforcement is Given calculator uses Bending moment of considered section=0.90*(Area of steel required*yield strength of reinforcement*(Centroidal distance of tension reinforcement-(Depth of Rectangular Stress Distribution/2))) to calculate the Bending moment of considered section, The Bending-Moment Capacity of Ultimate Strength when Area of Tension Reinforcement is Given formula is defined by the parameters area of steel, effective depth of section, depth of equivalent rectangular stress distribution and yield strength of concrete. . Bending moment of considered section and is denoted by Mu symbol.

How to calculate Bending-Moment Capacity of Ultimate Strength when Area of Tension Reinforcement is Given using this online calculator? To use this online calculator for Bending-Moment Capacity of Ultimate Strength when Area of Tension Reinforcement is Given, enter Area of steel required (As), yield strength of reinforcement (fy, Centroidal distance of tension reinforcement (d) and Depth of Rectangular Stress Distribution (a) and hit the calculate button. Here is how the Bending-Moment Capacity of Ultimate Strength when Area of Tension Reinforcement is Given calculation can be explained with given input values -> 0.0225 = 0.90*(0.0001*10000000*(0.05-(0.05/2))).

FAQ

What is Bending-Moment Capacity of Ultimate Strength when Area of Tension Reinforcement is Given?
The Bending-Moment Capacity of Ultimate Strength when Area of Tension Reinforcement is Given formula is defined by the parameters area of steel, effective depth of section, depth of equivalent rectangular stress distribution and yield strength of concrete. and is represented as Mu=0.90*(As*fy or Bending moment of considered section=0.90*(Area of steel required*yield strength of reinforcement*(Centroidal distance of tension reinforcement-(Depth of Rectangular Stress Distribution/2))). Area of steel required is the amount of steel required for resisting the shear or diagonal stress as stirrups. , Yield strength of reinforcement is stress at which a predetermined amount of permanent deformation occurs, Centroidal distance of tension reinforcement is the distance measured from eternal fiber to centroid of tension reinforcement and Depth of Rectangular Stress Distribution is the distance from extreme fiber to rectangular stress distribution in compression zone. .
How to calculate Bending-Moment Capacity of Ultimate Strength when Area of Tension Reinforcement is Given?
The Bending-Moment Capacity of Ultimate Strength when Area of Tension Reinforcement is Given formula is defined by the parameters area of steel, effective depth of section, depth of equivalent rectangular stress distribution and yield strength of concrete. is calculated using Bending moment of considered section=0.90*(Area of steel required*yield strength of reinforcement*(Centroidal distance of tension reinforcement-(Depth of Rectangular Stress Distribution/2))). To calculate Bending-Moment Capacity of Ultimate Strength when Area of Tension Reinforcement is Given, you need Area of steel required (As), yield strength of reinforcement (fy, Centroidal distance of tension reinforcement (d) and Depth of Rectangular Stress Distribution (a). With our tool, you need to enter the respective value for Area of steel required, yield strength of reinforcement, Centroidal distance of tension reinforcement and Depth of Rectangular Stress Distribution 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 Bending moment of considered section?
In this formula, Bending moment of considered section uses Area of steel required, yield strength of reinforcement, Centroidal distance of tension reinforcement and Depth of Rectangular Stress Distribution. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Bending moment of considered section=0.90*(Area of steel required*yield strength of reinforcement*Centroidal distance of tension reinforcement*(1-(0.59*((Tension reinforcement ratio*yield strength of reinforcement))/28 Day Compressive Strength of Concrete)))
  • Bending moment of considered section=0.90*((Area of steel required-Area of compression reinforcement)*yield strength of reinforcement*(Centroidal distance of tension reinforcement-(Depth of Rectangular Stress Distribution/2))+(Area of compression reinforcement*yield strength of reinforcement*(Centroidal distance of tension reinforcement-Effective cover)))
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