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Distance from Neutral Axis to Tensile Reinforcing Steel Formula

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Distance Neutral to Tensile Reinforcing Steel is the length in between the neutral axis and the tensile reinforcing steel. Check FAQs

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

c_s - Distance Neutral to Tensile Reinforcing Steel?f_{unit stress} - Unit Stress in Tensile Reinforcing Steel?I_A - Moment of Inertia of Beam?n - Elasticity Ratio of Steel to Concrete?B_M - Bending Moment of Considered Section?

Distance from Neutral Axis to Tensile Reinforcing Steel Example

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Here is how the Distance from Neutral Axis to Tensile Reinforcing Steel equation looks like with Values.

Here is how the Distance from Neutral Axis to Tensile Reinforcing Steel equation looks like with Units.

Here is how the Distance from Neutral Axis to Tensile Reinforcing Steel equation looks like.

594.7712 = 100.1 \cdot \frac{1E+8}{0.34 \cdot 49.5}

594.7712mm = 100.1MPa \cdot \frac{1E+8mm⁴}{0.34 \cdot 49.5kN*m}

594.7712 = 100.1 \cdot \frac{1E+8}{0.34 \cdot 49.5}

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Distance from Neutral Axis to Tensile Reinforcing Steel Solution

Follow our step by step solution on how to calculate Distance from Neutral Axis to Tensile Reinforcing Steel?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

c s = 100.1MPa \cdot \frac{1E+8mm⁴}{0.34 \cdot 49.5kN*m}

Next Step Convert Units

∴

c s = 1E+8Pa \cdot \frac{0.0001m⁴}{0.34 \cdot 49500N*m}

Next Step Prepare to Evaluate

∴

c s = 1E+8 \cdot \frac{0.0001}{0.34 \cdot 49500}

Next Step Evaluate

∴

c s = 0.594771241830065m

Next Step Convert to Output's Unit

∴

c s = 594.771241830065mm

LAST Step Rounding Answer

∴

c s = 594.7712mm

Distance from Neutral Axis to Tensile Reinforcing Steel Formula Elements

Variables

Distance Neutral to Tensile Reinforcing Steel

Distance Neutral to Tensile Reinforcing Steel is the length in between the neutral axis and the tensile reinforcing steel.

Symbol: c_s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance Neutral to Tensile Reinforcing Steel

Unit Stress in Tensile Reinforcing Steel

Unit Stress in Tensile Reinforcing Steel is the total force acting on the unit area of the body.

Symbol: f_{unit stress}

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Unit Stress in Tensile Reinforcing Steel

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

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.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Elasticity Ratio of Steel to Concrete

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 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}

Go Distance from Neutral Axis to Compressive Reinforcing Steel

c sc = f sc \cdot \frac{I A}{2 \cdot n \cdot B M}

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

Distance from Neutral Axis to Tensile Reinforcing Steel evaluator 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 evaluate 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 evaluate Distance from Neutral Axis to Tensile Reinforcing Steel using this online evaluator? To use this online evaluator 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.

FAQs on Distance from Neutral Axis to Tensile Reinforcing Steel

What is the formula to find Distance from Neutral Axis to Tensile Reinforcing Steel?

The formula of Distance from Neutral Axis to Tensile Reinforcing Steel is expressed as 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). Here is an example- 594177.1 = 100100000*0.0001/(0.34*49500).

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

With 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) we can find Distance from Neutral Axis to Tensile Reinforcing Steel using the formula - 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).

Can the Distance from Neutral Axis to Tensile Reinforcing Steel be negative?

No, the Distance from Neutral Axis to Tensile Reinforcing Steel, measured in Length cannot be negative.

Which unit is used to measure Distance from Neutral Axis to Tensile Reinforcing Steel?

Distance from Neutral Axis to Tensile Reinforcing Steel 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 Tensile Reinforcing Steel can be measured.

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Distance from Neutral Axis to Tensile Reinforcing Steel Formula

Distance from Neutral Axis to Tensile Reinforcing Steel Example

Distance from Neutral Axis to Tensile Reinforcing Steel Solution

Distance from Neutral Axis to Tensile Reinforcing Steel Formula Elements

Other formulas in Check for Stress in Beams category

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

FAQs on Distance from Neutral Axis to Tensile Reinforcing Steel

Variable Name