Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
Chandana P Dev has created this Calculator and 100+ more calculators!
Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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11 Other formulas that you can solve using the same Inputs

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

Bending Moment Capacity of Rectangular Beam Formula

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)))
M<sub>u</sub>=0.90*((A<sub>s</sub>-A<sub>s'</sub>)*f<sub>y</sub>*(d-(a/2))+(A<sub>s'</sub>*f<sub>y</sub>*(d-d')))
More formulas
Weight of Cementitious Materials in Batch when Water Cementitious Ratio is Given GO
Weight of Mixing Water in Batch when Water Cementitious Ratio is Given GO
Water Cementitious Ratio GO
Absolute Volume of the Component GO
Weight of the Material when Absolute Volume of the Component is Given GO
Specific Gravity of the Material when Absolute Volume of the Component is Given GO
Modulus of Elasticity of Concrete in USCS Units GO
Modulus of Elasticity of Concrete in SI Units GO
Modulus of Elasticity of Normal Weight and Density Concrete in USCS Units GO
Modulus of Elasticity of Normal Weight and Density Concrete in SI Units GO
Tensile Strength of Normal Weight and Density Concrete in USCS Units GO
Tensile Strength of Normal Weight and Density Concrete in SI Units GO
Positive Moment for End Spans if Discontinuous End is Unrestrained GO
Positive Moment for End Spans if Discontinuous End is Integral with Support GO
Positive Moment for Interior Spans GO
Negative Moment at Exterior Face of First Interior Support for Two Spans GO
Negative Moment at Exterior Face of First Interior Support for More Than Two Spans GO
Negative Moment at Other Faces of Interior Supports GO
Negative Moment at Interior Faces of Exterior Supports where Support is a Spandrel Beam GO
Negative Moment at Interior Faces of Exterior Support where Support is a Column GO
Shear Force at All Other Supports GO
Shear Force in End Members at First Interior Support GO
28-Day Concrete Compressive Strength GO
28-Day Concrete Compressive Strength when Water Cement Ratio is Given GO
Water Cement Ratio when 28-Day Concrete Compressive Strength is Given GO
Modulus of Elasticity for Normal Weight Concrete GO
Modulus of Elasticity GO
Basic Development Length for Bars and Wire in Tension GO
Area of Bar when Basic Development Length is Given GO
Bar Steel Yield Strength when Basic Development Length is Given GO
Bar Steel Yield Strength when Basic Development Length for No 14 Bars is Given GO
Basic Development Length for No 14 Bars GO
Basic Development Length for No 18 Bars GO
Bar Steel Yield Strength when Basic Development Length for No 18 Bars is Given GO
Equation for Crack Control Specific Limits GO
Stress Calculated in Crack Control GO
Live Load Effect when Ultimate Strength is Given for Unapplied Wind and Earthquake Loads GO
Basic Load Effect when Ultimate Strength is Given for Unapplied Wind and Earthquake Loads GO
Ultimate Strength when Wind and Earthquake Loads are not Applied GO
Ultimate Strength when Wind Loads are Applied GO
Basic Load Effect when Ultimate Strength is Given for Applied Wind Loads GO
Wind Load Effect when Ultimate Strength is Given for Applied Wind Loads GO
Cracking Moment for Reinforced Concrete Beams GO
Moment of Inertia of Gross Concrete Section when Cracking Moment is Given GO
Distance From the Centroidal Axis when Cracking Moment is Given GO
Modulus of Rupture of Concrete GO
Distance from Extreme Compression Surface to Neutral Axis in Compression Failure GO
Modular Ratio GO
Compressive Stress in Extreme Concrete Surface GO
Stress in Steel GO
Distance from Extreme Compression to Centroid when Steel Ratio is Given GO
Area of Tension Reinforcement when Steel Ratio is Given GO
Beam Width when Steel Ratio is Given GO
Steel Ratio GO
Distance between Centroid of Compression and Centroid of Tension GO
Depth of Equivalent Rectangular Compressive Stress Distribution GO
Stress in Compressive Steel GO
Equation Based on Linear Variation of Stress and Strain with Distance GO
Total Compressive Force on Beam Cross Section GO
Total Compression on Concrete GO
Force Acting on Compressive Steel GO
Force Acting on Tensile Steel GO
Stress in Tensile Steel to Stress in Extreme Compression Surface Ratio GO
Value of k in Design Reviewing GO
Moment Resistance of Tensile Steel when Force is Given GO
Moment Resistance of Tensile Steel when Area is Given GO
Stress in Tensile Steel when Bending Moment is Given GO
Moment Resistance in Compression GO
Stress in Extreme Compression Surface when Moment Resistance is Given GO
Moment Resisting Capacity of Concrete GO
Moment Resisting Capacity of Concrete when Bending Moment is Given GO
Moment Resisting Capacity of Compressive Steel GO
Bending Moment when Moment Resisting Capacity of Compressive Steel and Concrete is Given GO
Moment Resisting Capacity of Compressive Steel when Stress and Area are Given GO
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
Maximum Ultimate Moment when Neutral Axis Lies in Web GO
Equivalent Rectangular Compressive Stress Distribution Depth GO
Total Compressive Force when Concrete Stress is Given GO
Total Compressive Force when Area and Tensile Steel Stress is Given GO
Distance from Extreme Compression Surface to Neutral Axis GO
Moment Resistance of Steel GO
Moment Resistance of Concrete when Compressive Force is Given GO
Moment Resistance of Concrete when Stress in Concrete is Given GO
Moment Resistance of Concrete when Flange Thickness is Given GO
Moment Resistance of Steel when Flange Thickness is Given GO
Shear Reinforcement Area GO
Area of One Leg of a Closed Stirrup when Shear Reinforcement Area is Given GO
Spacing of Closed Stirrups for Torsion GO
Max Concrete Torsion GO
Max Ultimate Torsion for Torsion Effects GO
Maximum Allowable Torsion GO
Max Torsion due to Service Load for Torsion Effects GO
Spacing of Closed Stirrups for Torsion GO
Maximum Slab Thickness GO
Total Static Design Moment in a Strip GO
Uniform Design Load per Unit of Slab Area when Total Static Design Moment is Given GO
Clear Span in Direction Moments when Total Static Design Moment is Given GO
Strip Width when Total Static Design Moment is Given GO
Concrete Column Elasticity Modulus when Flexural Stiffness is Given GO
Moment of Inertia about Centroidal Axis when Flexural Stiffness is Given GO
Equation for Punching Shear Design GO
Concrete Shear Strength at Critical Sections GO
Eccentricity of Shear GO
Shear Friction Reinforcement Area GO
Design Shear when Shear Friction Reinforcement Area is Given GO
Reinforcement Yield Strength when Shear Friction Reinforcement Area is Given GO
Volume of Spiral Steel to Volume of Concrete Core Ratio GO
Spiral Steel Yield Strength when Volume of Spiral Steel to Concrete Core Ratio is Given GO
28-Day Concrete Compressive Strength when Volume of Spiral Steel to Concrete Core Ratio is Given GO
Nominal Shear Stress GO
Total Design Shear Force when Nominal Shear Stress is Given GO
Wall Overall Thickness when Nominal Shear Stress is Given GO
Wall Horizontal Length when Nominal Shear Stress is Given GO
Concrete Strength when Shear Force is Given GO
Minimum Horizontal Reinforcement GO
Maximum Shear Strength GO
Earth Thrust Horizontal Component when Sum of Righting Moments is Given GO
Pressure P1 when the Resultant is within the Middle Third and Width of Base is Given GO
Pressure P2 when the Resultant is within the Middle Third and Width of Base is Given GO
Pressure P1 when Resultant is at Middle Third Edge GO
Pressure when Resultant is Outside Middle Third GO
Retaining Wall Righting Moment GO
Overturning Moment GO
Counterfort Shear Unit Stress on a Horizontal Section GO
Youngs modulus of concrete GO
Shear Force on the Section GO
Shear Force on the Section for a Vertical Wall Face GO
Maximum Moment for Symmetrical Concrete Wall Footing GO
Uniform Pressure on Soil when Maximum Moment is Given GO
Tensile Bending Stress at Bottom when Footing is Deep GO

What is Bending Moment Capacity of beam?

The Moment Capacity is maximum Bending Moment that can be resisted by an element before it fails in bending. since rectangular beams are subjected to flexural loads and bending, it is important to calculate its capacity to resist the failure.

How to Calculate Bending Moment Capacity of Rectangular Beam?

Bending Moment Capacity of Rectangular Beam calculator uses 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))) to calculate the Bending moment of considered section, The Bending Moment Capacity of Rectangular Beam formula is defined with the parameters area of tension reinforcement, area of compression reinforcement, yield strength of steel, effective depth of section, and depth of equivalent rectangular stress distribution. Bending moment of considered section and is denoted by Mu symbol.

How to calculate Bending Moment Capacity of Rectangular Beam using this online calculator? To use this online calculator for Bending Moment Capacity of Rectangular Beam, enter Area of steel required (As), Area of compression reinforcement (As'), yield strength of reinforcement (fy, Centroidal distance of tension reinforcement (d), Depth of Rectangular Stress Distribution (a) and Effective cover (d') and hit the calculate button. Here is how the Bending Moment Capacity of Rectangular Beam calculation can be explained with given input values -> 0 = 0.90*((0.0001-0.0001)*10000000*(0.05-(0.05/2))+(0.0001*10000000*(0.05-0.05))).

FAQ

What is Bending Moment Capacity of Rectangular Beam?
The Bending Moment Capacity of Rectangular Beam formula is defined with the parameters area of tension reinforcement, area of compression reinforcement, yield strength of steel, effective depth of section, and depth of equivalent rectangular stress distribution and is represented as Mu=0.90*((As-As')*fys'*fy or 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))). Area of steel required is the amount of steel required for resisting the shear or diagonal stress as stirrups. , Area of compression reinforcement is the amount of steel required in the compression zone, 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, Depth of Rectangular Stress Distribution is the distance from extreme fiber to rectangular stress distribution in compression zone. and Effective cover is the distance from exposed surface of concrete to the centroid of main reinforcement.
How to calculate Bending Moment Capacity of Rectangular Beam?
The Bending Moment Capacity of Rectangular Beam formula is defined with the parameters area of tension reinforcement, area of compression reinforcement, yield strength of steel, effective depth of section, and depth of equivalent rectangular stress distribution is calculated using 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))). To calculate Bending Moment Capacity of Rectangular Beam, you need Area of steel required (As), Area of compression reinforcement (As'), yield strength of reinforcement (fy, Centroidal distance of tension reinforcement (d), Depth of Rectangular Stress Distribution (a) and Effective cover (d'). With our tool, you need to enter the respective value for Area of steel required, Area of compression reinforcement, yield strength of reinforcement, Centroidal distance of tension reinforcement, Depth of Rectangular Stress Distribution and Effective cover 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, Area of compression reinforcement, yield strength of reinforcement, Centroidal distance of tension reinforcement, Depth of Rectangular Stress Distribution and Effective cover. 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*yield strength of reinforcement*(Centroidal distance of tension reinforcement-(Depth of Rectangular Stress Distribution/2)))
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