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

✖Effective Depth of Beam is the distance from the centroid of tension steel to the outermost face of the compression fiber.ⓘ Effective Depth of Beam [d_eff]			+10% -10%
✖Tensile Stress in Steel is the external force per unit area of the steel resulting in the stretch of the steel.ⓘ Tensile Stress in Steel [f_TS]			+10% -10%
✖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.ⓘ Modulus of Elasticity of Steel [E_s]			+10% -10%

✖Neutral Axis Depth is the distance from the extreme fiber (compression surface) to neutral axis.ⓘ Distance from Extreme Compression Surface to Neutral Axis in Compression Failure [c]

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Formula

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Distance from Extreme Compression Surface to Neutral Axis in Compression Failure

Formula

`"c" = (0.003*"d"_{"eff"})/(("f"_{"TS"}/"E"_{"s"})+0.003)`

Example

`"157.4785in"=(0.003*"4m")/(("24kgf/m²"/"1000ksi")+0.003)`

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

STEP 0: Pre-Calculation Summary

Formula Used

Neutral Axis Depth = (0.003*Effective Depth of Beam)/((Tensile Stress in Steel/Modulus of Elasticity of Steel)+0.003)
c = (0.003*d_eff)/((f_TS/E_s)+0.003)
This formula uses 4 Variables

Variables Used

Neutral Axis Depth - (Measured in Inch) - Neutral Axis Depth is the distance from the extreme fiber (compression surface) to neutral axis.
Effective Depth of Beam - (Measured in Inch) - Effective Depth of Beam is the distance from the centroid of tension steel to the outermost face of the compression fiber.
Tensile Stress in Steel - (Measured in Pascal) - Tensile Stress in Steel is the external force per unit area of the steel resulting in the stretch of the steel.
Modulus of Elasticity of Steel - (Measured in Pascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Effective Depth of Beam: 4 Meter --> 157.48031496 Inch (Check conversion here)
Tensile Stress in Steel: 24 Kilogram-Force per Square Meter --> 235.359599999983 Pascal (Check conversion here)
Modulus of Elasticity of Steel: 1000 Kilopound Per Square Inch --> 6894757293.10432 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c = (0.003*d_eff)/((f_TS/E_s)+0.003) --> (0.003*157.48031496)/((235.359599999983/6894757293.10432)+0.003)

Evaluating ... ...

c = 157.478523063122

STEP 3: Convert Result to Output's Unit

3.99995448581931 Meter -->157.478523063122 Inch (Check conversion here)

FINAL ANSWER

157.478523063122 ≈ 157.4785 Inch <-- Neutral Axis Depth

(Calculation completed in 00.004 seconds)

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NSS College of Engineering (NSSCE), Palakkad

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< 3 Singly Reinforced Rectangular Sections Calculators

Bending Moment Capacity of Ultimate Strength given Beam Width

Go Bending Moment of Considered Section = 0.90*(Area of Steel Required*Yield Strength of Steel*Centroidal Distance of Tension Reinforcement*(1+(0.59*((Tension Reinforcement Ratio*Yield Strength of Steel))/28 Day Compressive Strength of Concrete)))

Bending Moment Capacity of Ultimate Strength given Area of Tension Reinforcement

Go Bending Moment of Considered Section = 0.90*(Area of Steel Required*Yield Strength of Steel*(Centroidal Distance of Tension Reinforcement-(Depth of Rectangular Stress Distribution/2)))

Distance from Extreme Compression Surface to Neutral Axis in Compression Failure

Go Neutral Axis Depth = (0.003*Effective Depth of Beam)/((Tensile Stress in Steel/Modulus of Elasticity of Steel)+0.003)

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

Neutral Axis Depth = (0.003*Effective Depth of Beam)/((Tensile Stress in Steel/Modulus of Elasticity of Steel)+0.003)
c = (0.003*d_eff)/((f_TS/E_s)+0.003)

What is Compression Failure of Concrete and why is it important?

when large amount of reinforcement is used, concrete fails by crushing when strains become so large (0.003 to 0.004). Failure is sudden, an almost explosive nature and occur with no warning ( Brittle Failure).

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

Distance from Extreme Compression Surface to Neutral Axis in Compression Failure calculator uses Neutral Axis Depth = (0.003*Effective Depth of Beam)/((Tensile Stress in Steel/Modulus of Elasticity of Steel)+0.003) to calculate 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 calculate Distance from Extreme Compression Surface to Neutral Axis in Compression Failure using this online calculator? To use this online calculator 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. Here is how the Distance from Extreme Compression Surface to Neutral Axis in Compression Failure calculation can be explained with given input values -> 6199.942 = (0.003*4)/((235.359599999983/6894757293.10432)+0.003).

FAQ

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

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 and is represented as c = (0.003*d_eff)/((f_TS/E_s)+0.003) or Neutral Axis Depth = (0.003*Effective Depth of Beam)/((Tensile Stress in Steel/Modulus of Elasticity of Steel)+0.003). Effective Depth of Beam is the distance from the centroid of tension steel to the outermost face of the compression fiber, Tensile Stress in Steel is the external force per unit area of the steel resulting in the stretch of the 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.

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

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 is calculated using Neutral Axis Depth = (0.003*Effective Depth of Beam)/((Tensile Stress in Steel/Modulus of Elasticity of Steel)+0.003). To calculate Distance from Extreme Compression Surface to Neutral Axis in Compression Failure, you need Effective Depth of Beam (d_eff), Tensile Stress in Steel (f_TS) & Modulus of Elasticity of Steel (E_s). With our tool, you need to enter the respective value for Effective Depth of Beam, Tensile Stress in Steel & Modulus of Elasticity of Steel 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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