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Distance from Extreme Compression Surface to Neutral Axis in Compression Failure Formula

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Neutral Axis Depth is the distance from the extreme fiber (compression surface) to neutral axis. Check FAQs

c = \frac{0.003 \cdot d eff}{(\frac{f TS}{E s}) + 0.003}

c - Neutral Axis Depth?d_eff - Effective Depth of Beam?f_TS - Tensile Stress in Steel?E_s - Modulus of Elasticity of Steel?

Distance from Extreme Compression Surface to Neutral Axis in Compression Failure Example

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Here is how the Distance from Extreme Compression Surface to Neutral Axis in Compression Failure equation looks like with Values.

Here is how the Distance from Extreme Compression Surface to Neutral Axis in Compression Failure equation looks like with Units.

Here is how the Distance from Extreme Compression Surface to Neutral Axis in Compression Failure equation looks like.

157.4785 = \frac{0.003 \cdot 4}{(\frac{24}{1000}) + 0.003}

157.4785in = \frac{0.003 \cdot 4m}{(\frac{24kgf/m²}{1000ksi}) + 0.003}

157.4785 = \frac{0.003 \cdot 4}{(\frac{24}{1000}) + 0.003}

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Distance from Extreme Compression Surface to Neutral Axis in Compression Failure Solution

Follow our step by step solution on how to calculate Distance from Extreme Compression Surface to Neutral Axis in Compression Failure?

FIRST Step Consider the formula

c = \frac{0.003 \cdot d eff}{(\frac{f TS}{E s}) + 0.003}

Next Step Substitute values of Variables

∴

c = \frac{0.003 \cdot 4m}{(\frac{24kgf/m²}{1000ksi}) + 0.003}

Next Step Convert Units

∴

c = \frac{0.003 \cdot 157.4803in}{(\frac{235.3596Pa}{6.9E+9Pa}) + 0.003}

Next Step Prepare to Evaluate

∴

c = \frac{0.003 \cdot 157.4803}{(\frac{235.3596}{6.9E+9}) + 0.003}

Next Step Evaluate

∴

c = 3.99995448581931m

Next Step Convert to Output's Unit

∴

c = 157.478523063122in

LAST Step Rounding Answer

∴

c = 157.4785in

Distance from Extreme Compression Surface to Neutral Axis in Compression Failure Formula Elements

Variables

Neutral Axis Depth

Neutral Axis Depth is the distance from the extreme fiber (compression surface) to neutral axis.

Symbol: c

Measurement: LengthUnit: in

Note: Value should be greater than 0.

Formulas to find Neutral Axis Depth

Effective Depth of Beam

Effective Depth of Beam is the distance from the centroid of tension steel to the outermost face of the compression fiber.

Symbol: d_eff

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Effective Depth of Beam

Tensile Stress in Steel

Tensile Stress in Steel is the external force per unit area of the steel resulting in the stretch of the steel.

Symbol: f_TS

Measurement: PressureUnit: kgf/m²

Note: Value should be greater than 0.

Formulas to find Tensile Stress in Steel

Modulus of Elasticity of Steel

Modulus of Elasticity of Steel or elastic modulus is the resistance of the structure or object from being deformed elastically when a stress is applied.

Symbol: E_s

Measurement: PressureUnit: ksi

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity of Steel

Other formulas in Singly Reinforced Rectangular Sections category

Go Bending Moment Capacity of Ultimate Strength given Beam Width

B M = 0.90 \cdot (A steel required \cdot fy steel \cdot D centroid \cdot (1 + (0.59 \cdot \frac{(ρ T \cdot fy steel)}{f c})))

Go Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement

B M = 0.90 \cdot (A steel required \cdot fy steel \cdot (D centroid - (\frac{a}{2})))

How to Evaluate Distance from Extreme Compression Surface to Neutral Axis in Compression Failure?

Distance from Extreme Compression Surface to Neutral Axis in Compression Failure evaluator uses Neutral Axis Depth = (0.003*Effective Depth of Beam)/((Tensile Stress in Steel/Modulus of Elasticity of Steel)+0.003) to evaluate the Neutral Axis Depth, The Distance from Extreme Compression Surface to Neutral Axis in Compression Failure formula is defined as neutral axis depth when the beam or the structure is subjected to compression failure. For compression failure,the strain in concrete is limited to 0.003. Neutral Axis Depth is denoted by c symbol.

How to evaluate Distance from Extreme Compression Surface to Neutral Axis in Compression Failure using this online evaluator? To use this online evaluator for Distance from Extreme Compression Surface to Neutral Axis in Compression Failure, enter Effective Depth of Beam (d_eff), Tensile Stress in Steel (f_TS) & Modulus of Elasticity of Steel (E_s) and hit the calculate button.

FAQs on Distance from Extreme Compression Surface to Neutral Axis in Compression Failure

What is the formula to find Distance from Extreme Compression Surface to Neutral Axis in Compression Failure?

The formula of Distance from Extreme Compression Surface to Neutral Axis in Compression Failure is expressed as Neutral Axis Depth = (0.003*Effective Depth of Beam)/((Tensile Stress in Steel/Modulus of Elasticity of Steel)+0.003). Here is an example- 6199.942 = (0.003*4)/((235.359599999983/6894757293.10432)+0.003).

How to calculate Distance from Extreme Compression Surface to Neutral Axis in Compression Failure?

With Effective Depth of Beam (d_eff), Tensile Stress in Steel (f_TS) & Modulus of Elasticity of Steel (E_s) we can find Distance from Extreme Compression Surface to Neutral Axis in Compression Failure using the formula - Neutral Axis Depth = (0.003*Effective Depth of Beam)/((Tensile Stress in Steel/Modulus of Elasticity of Steel)+0.003).

Can the Distance from Extreme Compression Surface to Neutral Axis in Compression Failure be negative?

No, the Distance from Extreme Compression Surface to Neutral Axis in Compression Failure, measured in Length cannot be negative.

Which unit is used to measure Distance from Extreme Compression Surface to Neutral Axis in Compression Failure?

Distance from Extreme Compression Surface to Neutral Axis in Compression Failure is usually measured using the Inch[in] for Length. Meter[in], Millimeter[in], Kilometer[in] are the few other units in which Distance from Extreme Compression Surface to Neutral Axis in Compression Failure can be measured.

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Distance from Extreme Compression Surface to Neutral Axis in Compression Failure Formula

Distance from Extreme Compression Surface to Neutral Axis in Compression Failure Example

Distance from Extreme Compression Surface to Neutral Axis in Compression Failure Solution

Distance from Extreme Compression Surface to Neutral Axis in Compression Failure Formula Elements

Other formulas in Singly Reinforced Rectangular Sections category

How to Evaluate Distance from Extreme Compression Surface to Neutral Axis in Compression Failure?

FAQs on Distance from Extreme Compression Surface to Neutral Axis in Compression Failure

Variable Name