Flat Width Ratio given Depth of Stiffener Lip Solution

STEP 0: Pre-Calculation Summary
Formula Used
Flat Width Ratio = sqrt((Depth of Stiffener Lip/(2.8*Thickness of Steel Compression Element))^6+144)
wt = sqrt((d/(2.8*t))^6+144)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Flat Width Ratio - Flat Width Ratio is the ratio of width w of a single flat element to the thickness t of the element.
Depth of Stiffener Lip - (Measured in Meter) - Depth of Stiffener Lip is the overall distance of the extra lip given for the member in order to stiffen the structure.
Thickness of Steel Compression Element - (Measured in Meter) - The Thickness of Steel Compression Element is the thickness of element or plate.
STEP 1: Convert Input(s) to Base Unit
Depth of Stiffener Lip: 143.638 Millimeter --> 0.143638 Meter (Check conversion here)
Thickness of Steel Compression Element: 30 Millimeter --> 0.03 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
wt = sqrt((d/(2.8*t))^6+144) --> sqrt((0.143638/(2.8*0.03))^6+144)
Evaluating ... ...
wt = 13.0000008225472
STEP 3: Convert Result to Output's Unit
13.0000008225472 --> No Conversion Required
FINAL ANSWER
13.0000008225472 13 <-- Flat Width Ratio
(Calculation completed in 00.004 seconds)

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15 Cold Formed or Light Weighted Steel Structures Calculators

Plate Slenderness Factor
Go Plate Slenderness Factor = (1.052/sqrt(Local Buckling Coefficient))*Flat Width Ratio*sqrt(Maximum Compressive Edge Stress/Modulus of Elasticity for Steel Elements)
Flat Width Ratio of Stiffened Element using Elastic Local Buckling Stress
Go Flat Width Ratio = sqrt((Local Buckling Coefficient*pi^2*Modulus of Elasticity for Steel Elements)/(12*Elastic Local Buckling Stress*(1-Poission Ratio for Plates^2)))
Flat Width Ratio given Plate Slenderness Factor
Go Flat Width Ratio = Plate Slenderness Factor*sqrt((Local Buckling Coefficient*Modulus of Elasticity for Steel Elements)/Maximum Compressive Edge Stress)*(1/1.052)
Elastic Local Buckling Stress
Go Elastic Local Buckling Stress = (Local Buckling Coefficient*pi^2*Modulus of Elasticity for Steel Elements)/(12*Flat Width Ratio^2*(1-Poission Ratio for Plates^2))
Compressive Stress when Flat Width Ratio is between 10 and 25
Go Maximum Compressive Stress of Concrete = ((5*Design Stress)/3)-8640-((1/15)*(Design Stress-12950)*Flat Width Ratio)
Flat Width Ratio of Stiffened Element using Moment of Inertia
Go Flat Width Ratio = sqrt((Minimum Area Moment of Inertia/(1.83*Thickness of Steel Compression Element^4))^2+144)
Minimum Allowable Moment of Inertia
Go Minimum Area Moment of Inertia = 1.83*(Thickness of Steel Compression Element^4)*sqrt((Flat Width Ratio^2)-144)
Flat Width Ratio given Depth of Stiffener Lip
Go Flat Width Ratio = sqrt((Depth of Stiffener Lip/(2.8*Thickness of Steel Compression Element))^6+144)
Depth of Stiffener Lip
Go Depth of Stiffener Lip = 2.8*Thickness of Steel Compression Element*((Flat Width Ratio)^2-144)^(1/6)
Reduction Factor for Cold Form Strength Determination
Go Reduction Factor = (1-(0.22/Plate Slenderness Factor))/Plate Slenderness Factor
Nominal Strength using Allowable Design Strength
Go Nominal Strength = Safety Factor for Design Strength*Allowable Design Strength
Allowable Design Strength
Go Allowable Design Strength = Nominal Strength/Safety Factor for Design Strength
Flat Width Ratio for Deflection Determination
Go Flat Width Ratio = 5160/sqrt(Computed Unit Stress of Cold formed Element)
Flat Width Ratio for Safe Load Determination
Go Flat Width Ratio = 4020/sqrt(Computed Unit Stress of Cold formed Element)
Compressive Stress when Basic Design Stress restricted to 20000 psi
Go Maximum Compressive Stress of Concrete = 24700-470*Flat Width Ratio

Flat Width Ratio given Depth of Stiffener Lip Formula

Flat Width Ratio = sqrt((Depth of Stiffener Lip/(2.8*Thickness of Steel Compression Element))^6+144)
wt = sqrt((d/(2.8*t))^6+144)

What are Cold Formed Structures?

The Cold-formed steel structures are steel structural products that are made by bending flat sheets of steel at ambient temperature into shapes which will support more than the flat sheets themselves. They have been produced for more than a century since the first flat sheets of steel were produced by the steel mills.

How to Calculate Flat Width Ratio given Depth of Stiffener Lip?

Flat Width Ratio given Depth of Stiffener Lip calculator uses Flat Width Ratio = sqrt((Depth of Stiffener Lip/(2.8*Thickness of Steel Compression Element))^6+144) to calculate the Flat Width Ratio, The Flat Width Ratio given Depth of Stiffener Lip relates the relationship between the parameters, stiffener lip depth, plate thickness, and the width to thickness ratio of the section. Flat Width Ratio is denoted by wt symbol.

How to calculate Flat Width Ratio given Depth of Stiffener Lip using this online calculator? To use this online calculator for Flat Width Ratio given Depth of Stiffener Lip, enter Depth of Stiffener Lip (d) & Thickness of Steel Compression Element (t) and hit the calculate button. Here is how the Flat Width Ratio given Depth of Stiffener Lip calculation can be explained with given input values -> 12.00185 = sqrt((0.143638/(2.8*0.03))^6+144).

FAQ

What is Flat Width Ratio given Depth of Stiffener Lip?
The Flat Width Ratio given Depth of Stiffener Lip relates the relationship between the parameters, stiffener lip depth, plate thickness, and the width to thickness ratio of the section and is represented as wt = sqrt((d/(2.8*t))^6+144) or Flat Width Ratio = sqrt((Depth of Stiffener Lip/(2.8*Thickness of Steel Compression Element))^6+144). Depth of Stiffener Lip is the overall distance of the extra lip given for the member in order to stiffen the structure & The Thickness of Steel Compression Element is the thickness of element or plate.
How to calculate Flat Width Ratio given Depth of Stiffener Lip?
The Flat Width Ratio given Depth of Stiffener Lip relates the relationship between the parameters, stiffener lip depth, plate thickness, and the width to thickness ratio of the section is calculated using Flat Width Ratio = sqrt((Depth of Stiffener Lip/(2.8*Thickness of Steel Compression Element))^6+144). To calculate Flat Width Ratio given Depth of Stiffener Lip, you need Depth of Stiffener Lip (d) & Thickness of Steel Compression Element (t). With our tool, you need to enter the respective value for Depth of Stiffener Lip & Thickness of Steel Compression Element and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Flat Width Ratio?
In this formula, Flat Width Ratio uses Depth of Stiffener Lip & Thickness of Steel Compression Element. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Flat Width Ratio = sqrt((Minimum Area Moment of Inertia/(1.83*Thickness of Steel Compression Element^4))^2+144)
  • Flat Width Ratio = sqrt((Local Buckling Coefficient*pi^2*Modulus of Elasticity for Steel Elements)/(12*Elastic Local Buckling Stress*(1-Poission Ratio for Plates^2)))
  • Flat Width Ratio = Plate Slenderness Factor*sqrt((Local Buckling Coefficient*Modulus of Elasticity for Steel Elements)/Maximum Compressive Edge Stress)*(1/1.052)
  • Flat Width Ratio = 4020/sqrt(Computed Unit Stress of Cold formed Element)
  • Flat Width Ratio = 5160/sqrt(Computed Unit Stress of Cold formed Element)
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