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Distance from Neutral Axis to Tensile Reinforcing Steel Calculator

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Check for Stress in Beams

✖Unit Stress in Tensile Reinforcing Steel is the total force acting on the unit area of the body.ⓘ Unit Stress in Tensile Reinforcing Steel [f_{unit stress}]			+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 Tensile Reinforcing Steel is the length in between the neutral axis and the tensile reinforcing steel.ⓘ Distance from Neutral Axis to Tensile Reinforcing Steel [c_s]

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Distance from Neutral Axis to Tensile Reinforcing Steel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
c_s = f_{unit stress}*I_A/(n*B_M)
This formula uses 5 Variables

Variables Used

Distance Neutral to Tensile Reinforcing Steel - (Measured in Meter) - Distance Neutral to Tensile Reinforcing Steel is the length in between the neutral axis and the tensile reinforcing steel.
Unit Stress in Tensile Reinforcing Steel - (Measured in Pascal) - Unit Stress in Tensile 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 Tensile Reinforcing Steel: 100.1 Megapascal --> 100100000 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_s = f_{unit stress}*I_A/(n*B_M) --> 100100000*0.0001/(0.34*49500)

Evaluating ... ...

c_s = 0.594771241830065

STEP 3: Convert Result to Output's Unit

0.594771241830065 Meter -->594.771241830065 Millimeter (Check conversion here)

FINAL ANSWER

594.771241830065 ≈ 594.7712 Millimeter <-- Distance Neutral to Tensile Reinforcing Steel

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Cummins College of Engineering for Women (CCEW), Pune

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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 Tensile Reinforcing Steel Formula

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Define Stress?

In physics, stress is the force acting on the unit area of a material. The effect of stress on a body is named as strain. Stress can deform the body. How much force material experience can be measured using stress units.

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

Distance from Neutral Axis to Tensile Reinforcing Steel calculator uses 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) to calculate the Distance Neutral to Tensile Reinforcing Steel, The Distance from Neutral Axis to Tensile Reinforcing Steel formula is defined as the length in between the neutral axis to the tensile reinforcing steel. Distance Neutral to Tensile Reinforcing Steel is denoted by c_s symbol.

How to calculate Distance from Neutral Axis to Tensile Reinforcing Steel using this online calculator? To use this online calculator for Distance from Neutral Axis to Tensile Reinforcing Steel, enter Unit Stress in Tensile Reinforcing Steel (f_{unit stress}), 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 Tensile Reinforcing Steel calculation can be explained with given input values -> 594177.1 = 100100000*0.0001/(0.34*49500).

FAQ

What is Distance from Neutral Axis to Tensile Reinforcing Steel?

The Distance from Neutral Axis to Tensile Reinforcing Steel formula is defined as the length in between the neutral axis to the tensile reinforcing steel and is represented as c_s = f_{unit stress}*I_A/(n*B_M) or 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 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 Tensile Reinforcing Steel?

The Distance from Neutral Axis to Tensile Reinforcing Steel formula is defined as the length in between the neutral axis to the tensile reinforcing steel is calculated using 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). To calculate Distance from Neutral Axis to Tensile Reinforcing Steel, you need Unit Stress in Tensile Reinforcing Steel (f_{unit stress}), 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 Tensile 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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