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Distance from Neutral Axis to Face of Concrete Formula

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Distance from Compression Fiber to NA is the distance from the extreme compression fiber or surface to the neutral axis. Check FAQs

K d = f fiber concrete \cdot \frac{I A}{B M}

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

Distance from Neutral Axis to Face of Concrete Example

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Here is how the Distance from Neutral Axis to Face of Concrete equation looks like with Values.

Here is how the Distance from Neutral Axis to Face of Concrete equation looks like with Units.

Here is how the Distance from Neutral Axis to Face of Concrete equation looks like.

100.202 = 49.6 \cdot \frac{1E+8}{49.5}

100.202mm = 49.6MPa \cdot \frac{1E+8mm⁴}{49.5kN*m}

100.202 = 49.6 \cdot \frac{1E+8}{49.5}

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Distance from Neutral Axis to Face of Concrete Solution

Follow our step by step solution on how to calculate Distance from Neutral Axis to Face of Concrete?

FIRST Step Consider the formula

K d = f fiber concrete \cdot \frac{I A}{B M}

Next Step Substitute values of Variables

∴

K d = 49.6MPa \cdot \frac{1E+8mm⁴}{49.5kN*m}

Next Step Convert Units

∴

K d = 5E+7Pa \cdot \frac{0.0001m⁴}{49500N*m}

Next Step Prepare to Evaluate

∴

K d = 5E+7 \cdot \frac{0.0001}{49500}

Next Step Evaluate

∴

K d = 0.10020202020202m

Next Step Convert to Output's Unit

∴

K d = 100.20202020202mm

LAST Step Rounding Answer

∴

K d = 100.202mm

Distance from Neutral Axis to Face of Concrete Formula Elements

Variables

Distance from Compression Fiber to NA

Distance from Compression Fiber to NA is the distance from the extreme compression fiber or surface to the neutral axis.

Symbol: K_d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Compression Fiber to NA

Unit Stress in Fiber of Concrete

Unit Stress in Fiber of Concrete is the total force acting in the unit area of the body.

Symbol: f_{fiber concrete}

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Unit Stress in Fiber of Concrete

Moment of Inertia of Beam

Moment of Inertia of Beam is a moment about the centroidal axis without considering mass.

Symbol: I_A

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia of Beam

Bending Moment of Considered Section

Bending Moment of Considered Section is defined as the sum of moment of all forces acting on one side of the beam or section.

Symbol: B_M

Measurement: Moment of ForceUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Bending Moment of Considered Section

Other formulas in Check for Stress in Beams category

Go Moment of Inertia of Transformed Beam Section

I TB = (0.5 \cdot b \cdot ({K d}^{2})) + 2 \cdot (m Elastic - 1) \cdot A s' \cdot ({c sc}^{2}) + m Elastic \cdot ({c s}^{2}) \cdot A

Go Distance from Neutral Axis to Tensile Reinforcing Steel

c s = f unit stress \cdot \frac{I A}{n \cdot B M}

Go Unit Stress in Tensile Reinforcing Steel

f unit stress = n \cdot B M \cdot \frac{c s}{I A}

Go Total Bending Moment given Unit Stress in Tensile Reinforcing Steel

Mb R = f unit stress \cdot \frac{I A}{n \cdot c s}

How to Evaluate Distance from Neutral Axis to Face of Concrete?

Distance from Neutral Axis to Face of Concrete evaluator uses Distance from Compression Fiber to NA = Unit Stress in Fiber of Concrete*Moment of Inertia of Beam/Bending Moment of Considered Section to evaluate 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 evaluate Distance from Neutral Axis to Face of Concrete using this online evaluator? To use this online evaluator 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.

FAQs on Distance from Neutral Axis to Face of Concrete

What is the formula to find Distance from Neutral Axis to Face of Concrete?

The formula of Distance from Neutral Axis to Face of Concrete is expressed as Distance from Compression Fiber to NA = Unit Stress in Fiber of Concrete*Moment of Inertia of Beam/Bending Moment of Considered Section. Here is an example- 100202 = 49600000*0.0001/49500.

How to calculate Distance from Neutral Axis to Face of Concrete?

With Unit Stress in Fiber of Concrete (f_{fiber concrete}), Moment of Inertia of Beam (I_A) & Bending Moment of Considered Section (B_M) we can find Distance from Neutral Axis to Face of Concrete using the formula - Distance from Compression Fiber to NA = Unit Stress in Fiber of Concrete*Moment of Inertia of Beam/Bending Moment of Considered Section.

Can the Distance from Neutral Axis to Face of Concrete be negative?

No, the Distance from Neutral Axis to Face of Concrete, measured in Length cannot be negative.

Which unit is used to measure Distance from Neutral Axis to Face of Concrete?

Distance from Neutral Axis to Face of Concrete is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Distance from Neutral Axis to Face of Concrete can be measured.

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Distance from Neutral Axis to Face of Concrete Formula

Distance from Neutral Axis to Face of Concrete Example

Distance from Neutral Axis to Face of Concrete Solution

Distance from Neutral Axis to Face of Concrete Formula Elements

Other formulas in Check for Stress in Beams category

How to Evaluate Distance from Neutral Axis to Face of Concrete?

FAQs on Distance from Neutral Axis to Face of Concrete

Variable Name