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Distance from Neutral Axis to Compressive Reinforcing Steel Calculator

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Check for Stress in Beams

✖Unit Stress in Compressive Reinforcing Steel is the total force acting on the unit area of the body.ⓘ Unit Stress in Compressive Reinforcing Steel [f_sc]			+10% -10%
✖Moment of Inertia of Beam is a moment about the centroidal axis without considering mass.ⓘ Moment of Inertia of Beam [I_A]			+10% -10%
✖Elasticity Ratio of Steel to Concrete is the ratio of the Modulus of elasticity of steel to the modulus of elasticity of concrete.ⓘ Elasticity Ratio of Steel to Concrete [n]			+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 of Considered Section [B_M]			+10% -10%

✖Distance Neutral to Compressive Reinforcing Steel is the length in between the neutral axis and the compressive reinforcing steel.ⓘ Distance from Neutral Axis to Compressive Reinforcing Steel [c_sc]

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Distance from Neutral Axis to Compressive Reinforcing Steel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Distance Neutral to Compressive Reinforcing Steel = Unit Stress in Compressive Reinforcing Steel*Moment of Inertia of Beam/(2*Elasticity Ratio of Steel to Concrete*Bending Moment of Considered Section)
c_sc = f_sc*I_A/(2*n*B_M)
This formula uses 5 Variables

Variables Used

Distance Neutral to Compressive Reinforcing Steel - (Measured in Meter) - Distance Neutral to Compressive Reinforcing Steel is the length in between the neutral axis and the compressive reinforcing steel.
Unit Stress in Compressive Reinforcing Steel - (Measured in Pascal) - Unit Stress in Compressive Reinforcing Steel is the total force acting on the unit area of the body.
Moment of Inertia of Beam - (Measured in Meter⁴) - Moment of Inertia of Beam is a moment about the centroidal axis without considering mass.
Elasticity Ratio of Steel to Concrete - Elasticity Ratio of Steel to Concrete is the ratio of the Modulus of elasticity of steel to the modulus of elasticity of concrete.
Bending Moment of Considered Section - (Measured in Newton Meter) - Bending Moment of Considered Section is defined as the sum of moment of all forces acting on one side of the beam or section.

STEP 1: Convert Input(s) to Base Unit

Unit Stress in Compressive Reinforcing Steel: 8.49 Megapascal --> 8490000 Pascal (Check conversion here)
Moment of Inertia of Beam: 100000000 Millimeter⁴ --> 0.0001 Meter⁴ (Check conversion here)
Elasticity Ratio of Steel to Concrete: 0.34 --> No Conversion Required
Bending Moment of Considered Section: 49.5 Kilonewton Meter --> 49500 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c_sc = f_sc*I_A/(2*n*B_M) --> 8490000*0.0001/(2*0.34*49500)

Evaluating ... ...

c_sc = 0.025222816399287

STEP 3: Convert Result to Output's Unit

0.025222816399287 Meter -->25.222816399287 Millimeter (Check conversion here)

FINAL ANSWER

25.222816399287 ≈ 25.22282 Millimeter <-- Distance Neutral to Compressive Reinforcing Steel

(Calculation completed in 00.020 seconds)

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Osmania University (OU), Hyderabad

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< Check for Stress in Beams Calculators

Moment of Inertia of Transformed Beam Section

LaTeX Go Moment of Inertia Transformed Beam = (0.5*Beam Width*(Distance from Compression Fiber to NA^2))+2*(Modular Ratio for Elastic Shortening-1)*Area of Compression Reinforcement*(Distance Neutral to Compressive Reinforcing Steel^2)+Modular Ratio for Elastic Shortening*(Distance Neutral to Tensile Reinforcing Steel^2)*Area of Tension Reinforcement

Distance from Neutral Axis to Tensile Reinforcing Steel

LaTeX Go Distance Neutral to Tensile Reinforcing Steel = Unit Stress in Tensile Reinforcing Steel*Moment of Inertia of Beam/(Elasticity Ratio of Steel to Concrete*Bending Moment of Considered Section)

Unit Stress in Tensile Reinforcing Steel

LaTeX Go Unit Stress in Tensile Reinforcing Steel = Elasticity Ratio of Steel to Concrete*Bending Moment of Considered Section*Distance Neutral to Tensile Reinforcing Steel/Moment of Inertia of Beam

Total Bending Moment given Unit Stress in Tensile Reinforcing Steel

LaTeX Go Bending Moment = Unit Stress in Tensile Reinforcing Steel*Moment of Inertia of Beam/(Elasticity Ratio of Steel to Concrete*Distance Neutral to Tensile Reinforcing Steel)

Distance from Neutral Axis to Compressive Reinforcing Steel Formula

LaTeX Go

Define Stress?

In continuum mechanics, stress is a physical quantity that expresses the internal forces that neighbouring particles of a continuous material exert on each other, while strain is the measure of the deformation of the material.

How to Calculate Distance from Neutral Axis to Compressive Reinforcing Steel?

Distance from Neutral Axis to Compressive Reinforcing Steel calculator uses Distance Neutral to Compressive Reinforcing Steel = Unit Stress in Compressive Reinforcing Steel*Moment of Inertia of Beam/(2*Elasticity Ratio of Steel to Concrete*Bending Moment of Considered Section) to calculate the Distance Neutral to Compressive Reinforcing Steel, The Distance from Neutral Axis to Compressive Reinforcing Steel formula is defined as the distance in between the neutral axis to the compressive reinforcing steel. Distance Neutral to Compressive Reinforcing Steel is denoted by c_sc symbol.

How to calculate Distance from Neutral Axis to Compressive Reinforcing Steel using this online calculator? To use this online calculator for Distance from Neutral Axis to Compressive Reinforcing Steel, enter Unit Stress in Compressive Reinforcing Steel (f_sc), Moment of Inertia of Beam (I_A), Elasticity Ratio of Steel to Concrete (n) & Bending Moment of Considered Section (B_M) and hit the calculate button. Here is how the Distance from Neutral Axis to Compressive Reinforcing Steel calculation can be explained with given input values -> 25222.82 = 8490000*0.0001/(2*0.34*49500).

FAQ

What is Distance from Neutral Axis to Compressive Reinforcing Steel?

The Distance from Neutral Axis to Compressive Reinforcing Steel formula is defined as the distance in between the neutral axis to the compressive reinforcing steel and is represented as c_sc = f_sc*I_A/(2*n*B_M) or Distance Neutral to Compressive Reinforcing Steel = Unit Stress in Compressive Reinforcing Steel*Moment of Inertia of Beam/(2*Elasticity Ratio of Steel to Concrete*Bending Moment of Considered Section). Unit Stress in Compressive Reinforcing Steel is the total force acting on the unit area of the body, Moment of Inertia of Beam is a moment about the centroidal axis without considering mass, Elasticity Ratio of Steel to Concrete is the ratio of the Modulus of elasticity of steel to the modulus of elasticity of concrete & Bending Moment of Considered Section is defined as the sum of moment of all forces acting on one side of the beam or section.

How to calculate Distance from Neutral Axis to Compressive Reinforcing Steel?

The Distance from Neutral Axis to Compressive Reinforcing Steel formula is defined as the distance in between the neutral axis to the compressive reinforcing steel is calculated using Distance Neutral to Compressive Reinforcing Steel = Unit Stress in Compressive Reinforcing Steel*Moment of Inertia of Beam/(2*Elasticity Ratio of Steel to Concrete*Bending Moment of Considered Section). To calculate Distance from Neutral Axis to Compressive Reinforcing Steel, you need Unit Stress in Compressive Reinforcing Steel (f_sc), Moment of Inertia of Beam (I_A), Elasticity Ratio of Steel to Concrete (n) & Bending Moment of Considered Section (B_M). With our tool, you need to enter the respective value for Unit Stress in Compressive Reinforcing Steel, Moment of Inertia of Beam, Elasticity Ratio of Steel to Concrete & Bending Moment of Considered Section and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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