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Balanced Moment when Φ is Given Calculator

Category Engineering ↺
Engineering Civil ↺
Civil Columns ↺
Columns Ultimate Strength Design of Concrete Columns ↺
✖The Resistance Factor accounts for the possible conditions that the actual fastener strength may be less than calculated strength value as a result of variations in dimensional tolerances.ⓘ Resistance Factor [Φ]
+10%
-10%
✖28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it.ⓘ 28 Day Compressive Strength of Concrete [fc]
+10%
-10%
✖Width of compression face is the measurement or extent of something from side to side.ⓘ Width of compression face [b]
+10%
-10%
✖Depth Rectangular Compressive Stress is defined as the depth of equivalent rectangular compressive-stress distribution, in(mm). ⓘ Depth Rectangular Compressive Stress [a]
+10%
-10%
✖Distance from Compression to Tensile Reinforcement is defined as the distance from extreme compression surface to the centroid of tensile reinforcement, in (mm).ⓘ Distance from Compression to Tensile Reinforcement [d]
+10%
-10%
✖Distance from Plastic to Tensile Reinforcement is defined as the distance, in (mm), from the plastic centroid to centroid of tension reinforcement.ⓘ Distance from Plastic to Tensile Reinforcement [d"]
+10%
-10%
✖Area of Compressive Reinforcement is common sense to place reinforcement in an area subjected to compressive stress.ⓘ Area of Compressive Reinforcement [As']
+10%
-10%
✖Yeild Strength of Base Plate is defined asⓘ Yeild Strength of Base Plate [Fy]
+10%
-10%
✖Distance from Compression to Centroid Reinforcment is defined as the distance from extreme compression surface to the centroid of compression reinforcement, in (mm).ⓘ Distance from Compression to Centroid Reinforcment [d']
+10%
-10%
✖Area of tension reinforcement is the area of column under tension.ⓘ area of tension reinforcement [As]
+10%
-10%
✖Tensile Stress in Steel is defined as the steel is under tension. The external force per unit area of the material resulting in the stretch of the material is known as tensile stress.ⓘ Tensile Stress in Steel [fs]
+10%
-10%
✖A Balanced Moment is a turning effect of a force. Forces can make objects turn if there is a pivot. This is because the turning forces are balanced - we say the moments are equal and opposite.ⓘ Balanced Moment when Φ is Given [Mb]
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Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has created this Calculator and 400+ more calculators!
Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
Mridul Sharma has verified this Calculator and 200+ more calculators!

11 Other formulas that you can solve using the same Inputs

Ultimate Strength for Symmetrical Reinforcement
Axial Load Capacity=0.85*28 Day Compressive Strength of Concrete*Width of compression face*Distance from Compression to Tensile Reinforcement*Capacity reduction factor*((-Area ratio of tensile reinforcement)+1-(Eccentricity by method of frame analysis/Distance from Compression to Tensile Reinforcement)+sqrt(((1-(Eccentricity by method of frame analysis/Distance from Compression to Tensile Reinforcement))^2)+2*Area ratio of tensile reinforcement*((Force ratio of strengths of reinforcements-1)*(1-(Distance from Compression to Centroid Reinforcment/Distance from Compression to Tensile Reinforcement))+(Eccentricity by method of frame analysis/Distance from Compression to Tensile Reinforcement)))) GO
Compressive Reinforcement Area when Axial-Load Capacity of Short Rectangular Members is Given
Area of Compressive Reinforcement=((Axial Load Capacity/Resistance Factor)-(.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress)+(area of tension reinforcement*Tensile Stress in Steel))/Yeild Strength of Base Plate GO
Tension Reinforcement Area when Axial-Load Capacity of Short Rectangular Members is Given
area of tension reinforcement=((.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress)+(Area of Compressive Reinforcement*Yeild Strength of Base Plate)-(Axial Load Capacity/Resistance Factor))/Tensile Stress in Steel GO
Tensile Stress in Steel when Axial-Load Capacity of Short Rectangular Members is Given
Tensile Stress in Steel=((.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress)+(Area of Compressive Reinforcement*Yeild Strength of Base Plate)-(Axial Load Capacity/Resistance Factor))/area of tension reinforcement GO
Axial-Load Capacity of Short Rectangular Members
Axial Load Capacity=Resistance Factor*((.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress)+(Area of Compressive Reinforcement*Yeild Strength of Base Plate)-(area of tension reinforcement*Tensile Stress in Steel)) GO
Yield Strength of Reinforcing Steel when Column Ultimate Strength is Given
Yield Strength=(Ultimate strength-0.85*28 Day Compressive Strength of Concrete*(Gross area-Area of Reinforcement))/Area of Reinforcement GO
Column Ultimate Strength with Zero Eccentricity of Load
Ultimate strength=0.85*28 Day Compressive Strength of Concrete*(Gross area-Area of Reinforcement)+Yield Strength*Area of Reinforcement GO
Base Plate Thickness
Base Plate Thickness=2*Maximum Cantilever Dimension*(sqrt(Bearing Pressure on Base Plate/Yeild Strength of Base Plate)) GO
Gross Area of Steel Core when Design Strength of Axially Loaded Composite Column is Given
Gross Area of Steel Core=Nominal Loading Capacity*Resistance Factor/(0.85*Critical Compressive Stress) GO
Design Strength of an Axially Loaded Composite Column
Nominal Loading Capacity=0.85*Gross Area of Steel Core*Critical Compressive Stress/Resistance Factor GO
Allowable Bearing Pressure when Full Area of Support is Occupied by Base Plate
Allowable Bearing Pressure=0.35*28 Day Compressive Strength of Concrete GO

1 Other formulas that calculate the same Output

Balanced Moment when Load and Eccentricity is Given
Balanced Moment=Eccentricity*Load Balanced Condition GO

Balanced Moment when Φ is Given Formula

Balanced Moment=Resistance Factor*((.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress*(Distance from Compression to Tensile Reinforcement-Distance from Plastic to Tensile Reinforcement-Depth Rectangular Compressive Stress/2))+(Area of Compressive Reinforcement*Yeild Strength of Base Plate*(Distance from Compression to Tensile Reinforcement-Distance from Compression to Centroid Reinforcment-Distance from Plastic to Tensile Reinforcement))+(area of tension reinforcement*Tensile Stress in Steel*Distance from Plastic to Tensile Reinforcement))
M<sub>b=Φ*((.85*f<sub>c*b*a*(d-d"-a/2))+(A<sub>s</sub>'*F<sub>y*(d-d'-d"))+(A<sub>s</sub>*f<sub>s*d"))
More formulas
Column Ultimate Strength with Zero Eccentricity of Load GO
Yield Strength of Reinforcing Steel when Column Ultimate Strength is Given GO
28-day Concrete Compressive Strength when Column Ultimate Strength is Given GO
Axial-Load Capacity of Short Rectangular Members GO
Tensile Stress in Steel when Axial-Load Capacity of Short Rectangular Members is Given GO
Tension Reinforcement Area when Axial-Load Capacity of Short Rectangular Members is Given GO
Compressive Reinforcement Area when Axial-Load Capacity of Short Rectangular Members is Given GO
Balanced Moment when Load and Eccentricity is Given GO
Ultimate Strength for Symmetrical Reinforcement GO
Ultimate Strength for No Compression Reinforcement GO
Ultimate Strength for Symmetrical Reinforcement in Single Layers GO
Ultimate Strength for Short, Circular Members when Controlled by Tension GO
Ultimate Strength for Short, Circular Members when Governed by Compression GO
Eccentricity for Balanced Condition for Short, Circular Members GO
Ultimate Strength for Short, Square Members when Governed by Compression GO
Ultimate Strength for Short, Square Members when Controlled by Tension GO
Magnified Moment when Eccentricity of Slender Columns is Given GO
Eccentricity of Slender Columns GO

Define Balanced Moment?

A moment is a turning effect of a force. Forces can make objects turn if there is a pivot. This is because the turning forces are balanced - we say the moments are equal and opposite

How to Calculate Balanced Moment when Φ is Given?

Balanced Moment when Φ is Given calculator uses Balanced Moment=Resistance Factor*((.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress*(Distance from Compression to Tensile Reinforcement-Distance from Plastic to Tensile Reinforcement-Depth Rectangular Compressive Stress/2))+(Area of Compressive Reinforcement*Yeild Strength of Base Plate*(Distance from Compression to Tensile Reinforcement-Distance from Compression to Centroid Reinforcment-Distance from Plastic to Tensile Reinforcement))+(area of tension reinforcement*Tensile Stress in Steel*Distance from Plastic to Tensile Reinforcement)) to calculate the Balanced Moment, The Balanced Moment when Φ is Given formula is defined as a turning effect of a force. Forces can make objects turn if there is a pivot. This is because the turning forces are balanced. Balanced Moment and is denoted by Mb symbol.

How to calculate Balanced Moment when Φ is Given using this online calculator? To use this online calculator for Balanced Moment when Φ is Given, enter Resistance Factor (Φ), 28 Day Compressive Strength of Concrete (fc), Width of compression face (b), Depth Rectangular Compressive Stress (a), Distance from Compression to Tensile Reinforcement (d), Distance from Plastic to Tensile Reinforcement (d"), Area of Compressive Reinforcement (As'), Yeild Strength of Base Plate (Fy), Distance from Compression to Centroid Reinforcment (d'), area of tension reinforcement (As) and Tensile Stress in Steel (fs) and hit the calculate button. Here is how the Balanced Moment when Φ is Given calculation can be explained with given input values -> -20459031.168136 = 10*((.85*100000000*5*0.01*(0.02-0.03-0.01/2))+(20*50000000*(0.02-0.01-0.03))+(10*980.664999999931*0.03)).

FAQ

What is Balanced Moment when Φ is Given?
The Balanced Moment when Φ is Given formula is defined as a turning effect of a force. Forces can make objects turn if there is a pivot. This is because the turning forces are balanced and is represented as Mb=Φ*((.85*fc*b*a*(d-d"-a/2))+(As'*Fy*(d-d'-d"))+(As*fs*d")) or Balanced Moment=Resistance Factor*((.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress*(Distance from Compression to Tensile Reinforcement-Distance from Plastic to Tensile Reinforcement-Depth Rectangular Compressive Stress/2))+(Area of Compressive Reinforcement*Yeild Strength of Base Plate*(Distance from Compression to Tensile Reinforcement-Distance from Compression to Centroid Reinforcment-Distance from Plastic to Tensile Reinforcement))+(area of tension reinforcement*Tensile Stress in Steel*Distance from Plastic to Tensile Reinforcement)). The Resistance Factor accounts for the possible conditions that the actual fastener strength may be less than calculated strength value as a result of variations in dimensional tolerances, 28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it, Width of compression face is the measurement or extent of something from side to side, Depth Rectangular Compressive Stress is defined as the depth of equivalent rectangular compressive-stress distribution, in(mm). , Distance from Compression to Tensile Reinforcement is defined as the distance from extreme compression surface to the centroid of tensile reinforcement, in (mm), Distance from Plastic to Tensile Reinforcement is defined as the distance, in (mm), from the plastic centroid to centroid of tension reinforcement, Area of Compressive Reinforcement is common sense to place reinforcement in an area subjected to compressive stress, Yeild Strength of Base Plate is defined as, Distance from Compression to Centroid Reinforcment is defined as the distance from extreme compression surface to the centroid of compression reinforcement, in (mm), Area of tension reinforcement is the area of column under tension and Tensile Stress in Steel is defined as the steel is under tension. The external force per unit area of the material resulting in the stretch of the material is known as tensile stress.
How to calculate Balanced Moment when Φ is Given?
The Balanced Moment when Φ is Given formula is defined as a turning effect of a force. Forces can make objects turn if there is a pivot. This is because the turning forces are balanced is calculated using Balanced Moment=Resistance Factor*((.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress*(Distance from Compression to Tensile Reinforcement-Distance from Plastic to Tensile Reinforcement-Depth Rectangular Compressive Stress/2))+(Area of Compressive Reinforcement*Yeild Strength of Base Plate*(Distance from Compression to Tensile Reinforcement-Distance from Compression to Centroid Reinforcment-Distance from Plastic to Tensile Reinforcement))+(area of tension reinforcement*Tensile Stress in Steel*Distance from Plastic to Tensile Reinforcement)). To calculate Balanced Moment when Φ is Given, you need Resistance Factor (Φ), 28 Day Compressive Strength of Concrete (fc), Width of compression face (b), Depth Rectangular Compressive Stress (a), Distance from Compression to Tensile Reinforcement (d), Distance from Plastic to Tensile Reinforcement (d"), Area of Compressive Reinforcement (As'), Yeild Strength of Base Plate (Fy), Distance from Compression to Centroid Reinforcment (d'), area of tension reinforcement (As) and Tensile Stress in Steel (fs). With our tool, you need to enter the respective value for Resistance Factor, 28 Day Compressive Strength of Concrete, Width of compression face, Depth Rectangular Compressive Stress, Distance from Compression to Tensile Reinforcement, Distance from Plastic to Tensile Reinforcement, Area of Compressive Reinforcement, Yeild Strength of Base Plate, Distance from Compression to Centroid Reinforcment, area of tension reinforcement and Tensile Stress in Steel 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 Balanced Moment?
In this formula, Balanced Moment uses Resistance Factor, 28 Day Compressive Strength of Concrete, Width of compression face, Depth Rectangular Compressive Stress, Distance from Compression to Tensile Reinforcement, Distance from Plastic to Tensile Reinforcement, Area of Compressive Reinforcement, Yeild Strength of Base Plate, Distance from Compression to Centroid Reinforcment, area of tension reinforcement and Tensile Stress in Steel. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Balanced Moment=Eccentricity*Load Balanced Condition
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