Depth when Neutral Axis is in Flange Calculator

✖Distance from Compression Fiber to NA is the distance from the extreme compression fiber or surface to the neutral axis.ⓘ Distance from Compression Fiber to NA [K_d]			+10% -10%
✖Constant β1 is the value used for determining the distance from compression fiber to neutral axis.ⓘ Constant β1 [β1]			+10% -10%
✖The Value of Omega is a simplified variable used instead of (AsFy)/(bd*fc').ⓘ Value of Omega [ω]			+10% -10%

✖Effective Depth of Beam is the distance from the centroid of tension steel to the outermost face of the compression fiber.ⓘ Depth when Neutral Axis is in Flange [d_eff]

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Formula

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Depth when Neutral Axis is in Flange

Formula

`"d"_{"eff"} = "K"_{"d"}*"β1"/(1.18*"ω")`

Example

`"3.39661m"="100.2mm"*"2.4"/(1.18*"0.06")`

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Depth when Neutral Axis is in Flange Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Depth of Beam = Distance from Compression Fiber to NA*Constant β1/(1.18*Value of Omega)
d_eff = K_d*β1/(1.18*ω)
This formula uses 4 Variables

Variables Used

Effective Depth of Beam - (Measured in Meter) - Effective Depth of Beam is the distance from the centroid of tension steel to the outermost face of the compression fiber.
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.
Constant β1 - Constant β1 is the value used for determining the distance from compression fiber to neutral axis.
Value of Omega - The Value of Omega is a simplified variable used instead of (As*Fy)/(b*d*fc').

STEP 1: Convert Input(s) to Base Unit

Distance from Compression Fiber to NA: 100.2 Millimeter --> 0.1002 Meter (Check conversion here)
Constant β1: 2.4 --> No Conversion Required
Value of Omega: 0.06 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_eff = K_d*β1/(1.18*ω) --> 0.1002*2.4/(1.18*0.06)

Evaluating ... ...

d_eff = 3.39661016949153

STEP 3: Convert Result to Output's Unit

3.39661016949153 Meter --> No Conversion Required

FINAL ANSWER

3.39661016949153 ≈ 3.39661 Meter <-- Effective Depth of Beam

(Calculation completed in 00.006 seconds)

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Created by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has created this Calculator and 200+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< 4 Flanged Sections Calculators

Maximum Ultimate Moment when Neutral Axis Lies in Web

Go Maximum Ultimate Moment = 0.9*((Area of Tension Reinforcement-Tensile Steel Area for Strength)*Yield Strength of Steel*(Effective Depth of Beam-Equivalent Depth/2)+Tensile Steel Area for Strength*Yield Strength of Steel*(Effective Depth of Beam-Flange Thickness/2))

Value of Omega if Neutral Axis is in Flange

Go Value of Omega = Distance from Compression Fiber to NA*Constant β1/(1.18*Effective Depth of Beam)

Distance when Neutral Axis Lies in Flange

Go Distance from Compression Fiber to NA = (1.18*Value of Omega*Effective Depth of Beam)/Constant β1

Depth when Neutral Axis is in Flange

Go Effective Depth of Beam = Distance from Compression Fiber to NA*Constant β1/(1.18*Value of Omega)

Depth when Neutral Axis is in Flange Formula

Effective Depth of Beam = Distance from Compression Fiber to NA*Constant β1/(1.18*Value of Omega)
d_eff = K_d*β1/(1.18*ω)

What is a Flange?

A flange is a projecting ridge, rim, collar or ring on an object such as a column, beam, pipe and so on that provides additional strength or stiffness or additional surface area for the attachment of, or to, another object.

How to Calculate Depth when Neutral Axis is in Flange?

Depth when Neutral Axis is in Flange calculator uses Effective Depth of Beam = Distance from Compression Fiber to NA*Constant β1/(1.18*Value of Omega) to calculate the Effective Depth of Beam, The Depth when Neutral Axis is in Flange is defined as the depth when we have a prior info of distance c from the extreme compression surface to the neutral axis lying in flange. Effective Depth of Beam is denoted by d_eff symbol.

How to calculate Depth when Neutral Axis is in Flange using this online calculator? To use this online calculator for Depth when Neutral Axis is in Flange, enter Distance from Compression Fiber to NA (K_d), Constant β1 (β1) & Value of Omega (ω) and hit the calculate button. Here is how the Depth when Neutral Axis is in Flange calculation can be explained with given input values -> 3.389831 = 0.1002*2.4/(1.18*0.06).

FAQ

What is Depth when Neutral Axis is in Flange?

The Depth when Neutral Axis is in Flange is defined as the depth when we have a prior info of distance c from the extreme compression surface to the neutral axis lying in flange and is represented as d_eff = K_d*β1/(1.18*ω) or Effective Depth of Beam = Distance from Compression Fiber to NA*Constant β1/(1.18*Value of Omega). Distance from Compression Fiber to NA is the distance from the extreme compression fiber or surface to the neutral axis, Constant β1 is the value used for determining the distance from compression fiber to neutral axis & The Value of Omega is a simplified variable used instead of (As*Fy)/(b*d*fc').

How to calculate Depth when Neutral Axis is in Flange?

The Depth when Neutral Axis is in Flange is defined as the depth when we have a prior info of distance c from the extreme compression surface to the neutral axis lying in flange is calculated using Effective Depth of Beam = Distance from Compression Fiber to NA*Constant β1/(1.18*Value of Omega). To calculate Depth when Neutral Axis is in Flange, you need Distance from Compression Fiber to NA (K_d), Constant β1 (β1) & Value of Omega (ω). With our tool, you need to enter the respective value for Distance from Compression Fiber to NA, Constant β1 & Value of Omega 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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