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)
csc = fsc*IA/(2*n*BM)
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
csc = fsc*IA/(2*n*BM) --> 8490000*0.0001/(2*0.34*49500)
Evaluating ... ...
csc = 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 00.004 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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Verified by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
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9 Check for Stress in Beams Calculators

Moment of Inertia of Transformed Beam Section
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 Compressive Reinforcing Steel
Go 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
Go Unit Stress in Compressive Reinforcing Steel = 2*Elasticity Ratio of Steel to Concrete*Bending Moment of Considered Section*Distance Neutral to Compressive Reinforcing Steel/Moment of Inertia of Beam
Distance from Neutral Axis to Tensile Reinforcing Steel
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
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
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)
Total Bending Moment given Unit Stress in Extreme Fiber of Concrete
Go Bending Moment of Considered Section = Unit Stress in Fiber of Concrete*Moment of Inertia of Beam/Distance from Compression Fiber to NA
Distance from Neutral Axis to Face of Concrete
Go Distance from Compression Fiber to NA = Unit Stress in Fiber of Concrete*Moment of Inertia of Beam/Bending Moment of Considered Section
Unit Stress in Extreme Fiber of Concrete
Go Unit Stress in Fiber of Concrete = Bending Moment of Considered Section*Distance from Compression Fiber to NA/Moment of Inertia of Beam

Distance from Neutral Axis to Compressive Reinforcing Steel Formula

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)
csc = fsc*IA/(2*n*BM)

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 csc 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 (fsc), Moment of Inertia of Beam (IA), Elasticity Ratio of Steel to Concrete (n) & Bending Moment of Considered Section (BM) 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 csc = fsc*IA/(2*n*BM) 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 (fsc), Moment of Inertia of Beam (IA), Elasticity Ratio of Steel to Concrete (n) & Bending Moment of Considered Section (BM). 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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