Moment of Inertia of Transformed Beam Section Calculator

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✖Beam Width is defined as the shortest/least measurement of the beam.ⓘ Beam Width [b]			+10% -10%
✖Distance Neutral to face of Concrete is difined as the length in between the neutral axis and the face of concrete.ⓘ Distance Neutral to face of Concrete [c_c]			+10% -10%
✖Elasticity Ratio of Steel to Concrete is defined as the ratio of Modulus of elasticity of steel is to modulus of elasticity of concrete.ⓘ Elasticity Ratio of Steel to Concrete [n]			+10% -10%
✖Area of Compressive Reinforcement is common sense to place reinforcement in an area subjected to compressive stress.ⓘ Area of Compressive Reinforcement [A_s']			+10% -10%
✖Distance Neutral to Compressive Reinforcing Steel is defined as the length in between the neutral axis and the compressive reinforcing steel.ⓘ Distance Neutral to Compressive Reinforcing Steel [c_sc]			+10% -10%
✖Distance Neutral to Tensile Reinforcing Steel is defined as the length in between the neutral axis and the tensile reinforcing steel.ⓘ Distance Neutral to Tensile Reinforcing Steel [c_s]			+10% -10%
✖Tensile Reinforcement Area is defined as the area a composite material in which concrete's relatively low tensile strength and ductility.ⓘ Tensile Reinforcement Area [A_s]			+10% -10%

✖Moment of Inertia Transformed Beamis defined as the expressing a body's tendency to resist angular acceleration.ⓘ Moment of Inertia of Transformed Beam Section [I]

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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 300+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Balanced Moment when Φ is Given

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)) Go

Ultimate Strength for Symmetrical Reinforcement in Single Layers

Axial Load Capacity=Capacity reduction factor*((Area of Compressive Reinforcement*Yield strength of reinforcing steel/((Eccentricity/Distance from Compression to Tensile Reinforcement)-Distance from Compression to Centroid Reinforcment+0.5))+(Width of compression face*Depth of column*28 Day Compressive Strength of Concrete/((3*Depth of column*Eccentricity/(Distance from Compression to Tensile Reinforcement^2))+1.18))) 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

Cross-Sectional Area of Compressive Reinforcing

Area of Compressive Reinforcement=(Bending moment-Bending Moment Tensile Reinforcing)/Elasticity Ratio of Steel to Concrete*Compressive Stress*Depth of the Beam Go

Depth of Beam when Stress in Concrete is Given

Depth of the Beam=sqrt(2*Bending moment/(Ratio k*Ratio j*Beam Width*Stress)) Go

Bending Moment when Stress in Concrete is Given

Bending moment=(Stress*Ratio k*Ratio j*Beam Width*Depth of the Beam^2)/2 Go

Stress in Concrete

Stress=2*Bending moment/(Ratio k*Ratio j*Beam Width*Depth of the Beam^2) Go

Stress in Steel When Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio is Given

Stress=Bending moment/(Ratio p*Ratio j*Beam Width*Depth of the Beam^2) Go

Stress in Steel

Stress=moment/(Tensile Reinforcement Area*Ratio j*Depth of the Beam) Go

< 3 Other formulas that calculate the same Output

Moment of Inertia when Unit Stress in Compressive Reinforcing Steel is Given

Moment of Inertia Transformed Beam=2*Elasticity Ratio of Steel to Concrete*Bending moment*Distance Neutral to Compressive Reinforcing Steel/Unit Stress in Compressive Reinforcing Steel Go

Moment of Inertia when Unit Stress in Tensile Reinforcing Steel is Given

Moment of Inertia Transformed Beam=Elasticity Ratio of Steel to Concrete*Bending moment*Distance Neutral to Tensile Reinforcing Steel/Unit Stress in tensile Reinforcing Steel Go

Moment of Inertia when Unit Stress in Extreme Fiber of Concrete is Given

Moment of Inertia Transformed Beam=Bending moment*Distance Neutral to face of Concrete /Unit Stress in Fiber of Concrete Go

Moment of Inertia of Transformed Beam Section Formula

Moment of Inertia Transformed Beam=(0.5*Beam Width*(Distance Neutral to face of Concrete ^2))+2*(Elasticity Ratio of Steel to Concrete-1)*Area of Compressive Reinforcement*(Distance Neutral to Compressive Reinforcing Steel^2)+Elasticity Ratio of Steel to Concrete*(Distance Neutral to Tensile Reinforcing Steel^2)*Tensile Reinforcement Area
I=(0.5*b*(cc^2))+2*(n-1)*As'*(csc^2)+n*(cs^2)*As

More formulas

Distance from Neutral Axis to Tensile Reinforcing Steel when Unit Stress is Given Go

Unit Stress in Tensile Reinforcing Steel Go

Total Bending Moment when Unit Stress in Tensile Reinforcing Steel is Given Go

Moment of Inertia when Unit Stress in Tensile Reinforcing Steel is Given Go

Distance from Neutral Axis to Compressive Reinforcing Steel when Unit Stress is Given Go

Moment of Inertia when Unit Stress in Compressive Reinforcing Steel is Given Go

Total Bending Moment when Unit Stress in Compressive Reinforcing Steel is Given Go

Unit Stress in Compressive Reinforcing Steel Go

Moment of Inertia when Unit Stress in Extreme Fiber of Concrete is Given Go

Distance from Neutral Axis to Face of Concrete when Unit Stress is Given Go

Total Bending Moment when Unit Stress in Extreme Fiber of Concrete is Given Go

Unit Stress in Extreme Fiber of Concrete Go

Define Moment of Inertia?

The moment of inertia, otherwise known as the mass moment of inertia, angular mass or rotational inertia, of a rigid body is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis, akin to how mass determines the force needed for a desired acceleration.

How to Calculate Moment of Inertia of Transformed Beam Section?

Moment of Inertia of Transformed Beam Section calculator uses Moment of Inertia Transformed Beam=(0.5*Beam Width*(Distance Neutral to face of Concrete ^2))+2*(Elasticity Ratio of Steel to Concrete-1)*Area of Compressive Reinforcement*(Distance Neutral to Compressive Reinforcing Steel^2)+Elasticity Ratio of Steel to Concrete*(Distance Neutral to Tensile Reinforcing Steel^2)*Tensile Reinforcement Area to calculate the Moment of Inertia Transformed Beam, The Moment of Inertia of Transformed Beam Section formula is defined as the quantity expressing a body's tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation. Moment of Inertia Transformed Beam and is denoted by I symbol.

How to calculate Moment of Inertia of Transformed Beam Section using this online calculator? To use this online calculator for Moment of Inertia of Transformed Beam Section, enter Beam Width (b), Distance Neutral to face of Concrete (c_c), Elasticity Ratio of Steel to Concrete (n), Area of Compressive Reinforcement (A_s'), Distance Neutral to Compressive Reinforcing Steel (c_sc), Distance Neutral to Tensile Reinforcing Steel (c_s) and Tensile Reinforcement Area (A_s) and hit the calculate button. Here is how the Moment of Inertia of Transformed Beam Section calculation can be explained with given input values -> 0.036002 = (0.5*0.01*(0.02^2))+2*(2-1)*20*(0.03^2)+2*(0.015^2)*0.0001.

FAQ

What is Moment of Inertia of Transformed Beam Section?

The Moment of Inertia of Transformed Beam Section formula is defined as the quantity expressing a body's tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation and is represented as I=(0.5*b*(c_{c^2))+2*(n-1)*A_s'*(c_{sc^2)+n*(c_{s^2)*A_s}}} or Moment of Inertia Transformed Beam=(0.5*Beam Width*(Distance Neutral to face of Concrete ^2))+2*(Elasticity Ratio of Steel to Concrete-1)*Area of Compressive Reinforcement*(Distance Neutral to Compressive Reinforcing Steel^2)+Elasticity Ratio of Steel to Concrete*(Distance Neutral to Tensile Reinforcing Steel^2)*Tensile Reinforcement Area. Beam Width is defined as the shortest/least measurement of the beam, Distance Neutral to face of Concrete is difined as the length in between the neutral axis and the face of concrete, Elasticity Ratio of Steel to Concrete is defined as the ratio of Modulus of elasticity of steel is to modulus of elasticity of concrete, Area of Compressive Reinforcement is common sense to place reinforcement in an area subjected to compressive stress, Distance Neutral to Compressive Reinforcing Steel is defined as the length in between the neutral axis and the compressive reinforcing steel, Distance Neutral to Tensile Reinforcing Steel is defined as the length in between the neutral axis and the tensile reinforcing steel and Tensile Reinforcement Area is defined as the area a composite material in which concrete's relatively low tensile strength and ductility.

How to calculate Moment of Inertia of Transformed Beam Section?

The Moment of Inertia of Transformed Beam Section formula is defined as the quantity expressing a body's tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation is calculated using Moment of Inertia Transformed Beam=(0.5*Beam Width*(Distance Neutral to face of Concrete ^2))+2*(Elasticity Ratio of Steel to Concrete-1)*Area of Compressive Reinforcement*(Distance Neutral to Compressive Reinforcing Steel^2)+Elasticity Ratio of Steel to Concrete*(Distance Neutral to Tensile Reinforcing Steel^2)*Tensile Reinforcement Area. To calculate Moment of Inertia of Transformed Beam Section, you need Beam Width (b), Distance Neutral to face of Concrete (c_c), Elasticity Ratio of Steel to Concrete (n), Area of Compressive Reinforcement (A_s'), Distance Neutral to Compressive Reinforcing Steel (c_sc), Distance Neutral to Tensile Reinforcing Steel (c_s) and Tensile Reinforcement Area (A_s). With our tool, you need to enter the respective value for Beam Width, Distance Neutral to face of Concrete , Elasticity Ratio of Steel to Concrete, Area of Compressive Reinforcement, Distance Neutral to Compressive Reinforcing Steel, Distance Neutral to Tensile Reinforcing Steel and Tensile Reinforcement Area 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 of Inertia Transformed Beam?

In this formula, Moment of Inertia Transformed Beam uses Beam Width, Distance Neutral to face of Concrete , Elasticity Ratio of Steel to Concrete, Area of Compressive Reinforcement, Distance Neutral to Compressive Reinforcing Steel, Distance Neutral to Tensile Reinforcing Steel and Tensile Reinforcement Area. We can use 3 other way(s) to calculate the same, which is/are as follows -

Moment of Inertia Transformed Beam=Elasticity Ratio of Steel to Concrete*Bending moment*Distance Neutral to Tensile Reinforcing Steel/Unit Stress in tensile Reinforcing Steel
Moment of Inertia Transformed Beam=2*Elasticity Ratio of Steel to Concrete*Bending moment*Distance Neutral to Compressive Reinforcing Steel/Unit Stress in Compressive Reinforcing Steel
Moment of Inertia Transformed Beam=Bending moment*Distance Neutral to face of Concrete /Unit Stress in Fiber of Concrete

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