Distance when Neutral Axis Lies in Flange Solution

STEP 0: Pre-Calculation Summary
Formula Used
Distance from Compression Fiber to NA = (1.18*Value of Omega*Effective Depth of Beam)/Constant β1
Kd = (1.18*ω*deff)/β1
This formula uses 4 Variables
Variables Used
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.
Value of Omega - The Value of Omega is a simplified variable used instead of (As*Fy)/(b*d*fc').
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.
Constant β1 - Constant β1 is the value used for determining the distance from compression fiber to neutral axis.
STEP 1: Convert Input(s) to Base Unit
Value of Omega: 0.06 --> No Conversion Required
Effective Depth of Beam: 4 Meter --> 4 Meter No Conversion Required
Constant β1: 2.4 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Kd = (1.18*ω*deff)/β1 --> (1.18*0.06*4)/2.4
Evaluating ... ...
Kd = 0.118
STEP 3: Convert Result to Output's Unit
0.118 Meter -->118 Millimeter (Check conversion here)
FINAL ANSWER
118 Millimeter <-- Distance from Compression Fiber to NA
(Calculation completed in 00.004 seconds)

Credits

Created by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
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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)

Distance when Neutral Axis Lies in Flange Formula

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

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 Distance when Neutral Axis Lies in Flange?

Distance when Neutral Axis Lies in Flange calculator uses Distance from Compression Fiber to NA = (1.18*Value of Omega*Effective Depth of Beam)/Constant β1 to calculate the Distance from Compression Fiber to NA, The Distance when Neutral Axis Lies in Flange is defined as the distance from the extreme compression surface to the neutral axis when the later lies in flange. Distance from Compression Fiber to NA is denoted by Kd symbol.

How to calculate Distance when Neutral Axis Lies in Flange using this online calculator? To use this online calculator for Distance when Neutral Axis Lies in Flange, enter Value of Omega (ω), Effective Depth of Beam (deff) & Constant β1 (β1) and hit the calculate button. Here is how the Distance when Neutral Axis Lies in Flange calculation can be explained with given input values -> 118000 = (1.18*0.06*4)/2.4.

FAQ

What is Distance when Neutral Axis Lies in Flange?
The Distance when Neutral Axis Lies in Flange is defined as the distance from the extreme compression surface to the neutral axis when the later lies in flange and is represented as Kd = (1.18*ω*deff)/β1 or Distance from Compression Fiber to NA = (1.18*Value of Omega*Effective Depth of Beam)/Constant β1. The Value of Omega is a simplified variable used instead of (As*Fy)/(b*d*fc'), Effective Depth of Beam is the distance from the centroid of tension steel to the outermost face of the compression fiber & Constant β1 is the value used for determining the distance from compression fiber to neutral axis.
How to calculate Distance when Neutral Axis Lies in Flange?
The Distance when Neutral Axis Lies in Flange is defined as the distance from the extreme compression surface to the neutral axis when the later lies in flange is calculated using Distance from Compression Fiber to NA = (1.18*Value of Omega*Effective Depth of Beam)/Constant β1. To calculate Distance when Neutral Axis Lies in Flange, you need Value of Omega (ω), Effective Depth of Beam (deff) & Constant β1 (β1). With our tool, you need to enter the respective value for Value of Omega, Effective Depth of Beam & Constant β1 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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