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Distance from Neutral Axis to Face of Concrete Calculator

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Check for Stress in Beams

✖Unit Stress in Fiber of Concrete is the total force acting in the unit area of the body.ⓘ Unit Stress in Fiber of Concrete [f_{fiber concrete}]			+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%
✖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 from Compression Fiber to NA is the distance from the extreme compression fiber or surface to the neutral axis.ⓘ Distance from Neutral Axis to Face of Concrete [K_d]

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Distance from Neutral Axis to Face of Concrete Solution

STEP 0: Pre-Calculation Summary

Formula Used

Distance from Compression Fiber to NA = Unit Stress in Fiber of Concrete*Moment of Inertia of Beam/Bending Moment of Considered Section
K_d = f_{fiber concrete}*I_A/B_M
This formula uses 4 Variables

Variables Used

Distance from Compression Fiber to NA - (Measured in Meter) - Distance from Compression Fiber to NA is the distance from the extreme compression fiber or surface to the neutral axis.
Unit Stress in Fiber of Concrete - (Measured in Pascal) - Unit Stress in Fiber of Concrete is the total force acting in 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.
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 Fiber of Concrete: 49.6 Megapascal --> 49600000 Pascal (Check conversion here)
Moment of Inertia of Beam: 100000000 Millimeter⁴ --> 0.0001 Meter⁴ (Check conversion here)
Bending Moment of Considered Section: 49.5 Kilonewton Meter --> 49500 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_d = f_{fiber concrete}*I_A/B_M --> 49600000*0.0001/49500

Evaluating ... ...

K_d = 0.10020202020202

STEP 3: Convert Result to Output's Unit

0.10020202020202 Meter -->100.20202020202 Millimeter (Check conversion here)

FINAL ANSWER

100.20202020202 ≈ 100.202 Millimeter <-- Distance from Compression Fiber to NA

(Calculation completed in 00.004 seconds)

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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 Face of Concrete Formula

LaTeX Go

Distance from Compression Fiber to NA = Unit Stress in Fiber of Concrete*Moment of Inertia of Beam/Bending Moment of Considered Section
K_d = f_{fiber concrete}*I_A/B_M

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 Face of Concrete?

Distance from Neutral Axis to Face of Concrete calculator uses Distance from Compression Fiber to NA = Unit Stress in Fiber of Concrete*Moment of Inertia of Beam/Bending Moment of Considered Section to calculate the Distance from Compression Fiber to NA, The Distance from Neutral Axis to Face of Concrete formula is defined as the length from the neutral axis to the face of the concrete. Distance from Compression Fiber to NA is denoted by K_d symbol.

How to calculate Distance from Neutral Axis to Face of Concrete using this online calculator? To use this online calculator for Distance from Neutral Axis to Face of Concrete, enter Unit Stress in Fiber of Concrete (f_{fiber concrete}), Moment of Inertia of Beam (I_A) & Bending Moment of Considered Section (B_M) and hit the calculate button. Here is how the Distance from Neutral Axis to Face of Concrete calculation can be explained with given input values -> 100202 = 49600000*0.0001/49500.

FAQ

What is Distance from Neutral Axis to Face of Concrete?

The Distance from Neutral Axis to Face of Concrete formula is defined as the length from the neutral axis to the face of the concrete and is represented as K_d = f_{fiber concrete}*I_A/B_M or 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 Fiber of Concrete is the total force acting in the unit area of the body, Moment of Inertia of Beam is a moment about the centroidal axis without considering mass & 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 Face of Concrete?

The Distance from Neutral Axis to Face of Concrete formula is defined as the length from the neutral axis to the face of the concrete is calculated using Distance from Compression Fiber to NA = Unit Stress in Fiber of Concrete*Moment of Inertia of Beam/Bending Moment of Considered Section. To calculate Distance from Neutral Axis to Face of Concrete, you need Unit Stress in Fiber of Concrete (f_{fiber concrete}), Moment of Inertia of Beam (I_A) & Bending Moment of Considered Section (B_M). With our tool, you need to enter the respective value for Unit Stress in Fiber of Concrete, Moment of Inertia of Beam & 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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