Flat Width Ratio for Safe Load Determination Solution

STEP 0: Pre-Calculation Summary
Formula Used
Flat Width Ratio = 4020/sqrt(Computed Unit Stress of Cold formed Element)
wt = 4020/sqrt(fuc)
This formula uses 1 Functions, 2 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.
Computed Unit Stress of Cold formed Element - (Measured in Pascal) - Computed Unit Stress of Cold formed Element is the stress upon that element at a certain place, expressed in units of force per unit of cross-sectional area.
STEP 1: Convert Input(s) to Base Unit
Computed Unit Stress of Cold formed Element: 0.15 Megapascal --> 150000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
wt = 4020/sqrt(fuc) --> 4020/sqrt(150000)
Evaluating ... ...
wt = 10.3795953678359
STEP 3: Convert Result to Output's Unit
10.3795953678359 --> No Conversion Required
FINAL ANSWER
10.3795953678359 10.3796 <-- Flat Width Ratio
(Calculation completed in 00.004 seconds)

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Cold Formed or Light Weighted Steel Structures Calculators

Flat Width Ratio of Stiffened Element using Moment of Inertia
​ LaTeX ​ 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
​ LaTeX ​ Go Minimum Area Moment of Inertia = 1.83*(Thickness of Steel Compression Element^4)*sqrt((Flat Width Ratio^2)-144)
Nominal Strength using Allowable Design Strength
​ LaTeX ​ Go Nominal Strength = Safety Factor for Design Strength*Allowable Design Strength
Allowable Design Strength
​ LaTeX ​ Go Allowable Design Strength = Nominal Strength/Safety Factor for Design Strength

Flat Width Ratio for Safe Load Determination Formula

​LaTeX ​Go
Flat Width Ratio = 4020/sqrt(Computed Unit Stress of Cold formed Element)
wt = 4020/sqrt(fuc)

What is Effective Width Concept?

The Effects of Local Buckling can be evaluated by using the concept of effective width.
Lightly stressed regions at center are ignored, as these are least effective in resisting the
applied stresses. Regions near the supports are far more effective and are taken to be fully
effective. The section behavior is modelled on the basis of the effective width

How to Calculate Flat Width Ratio for Safe Load Determination?

Flat Width Ratio for Safe Load Determination calculator uses Flat Width Ratio = 4020/sqrt(Computed Unit Stress of Cold formed Element) to calculate the Flat Width Ratio, The Flat Width Ratio for Safe Load Determination is defined for computing effective area and section modulus. The equation is based on a safety factor of about 1.65 against yield stress at the outer fiber of the section. Flat Width Ratio is denoted by wt symbol.

How to calculate Flat Width Ratio for Safe Load Determination using this online calculator? To use this online calculator for Flat Width Ratio for Safe Load Determination, enter Computed Unit Stress of Cold formed Element (fuc) and hit the calculate button. Here is how the Flat Width Ratio for Safe Load Determination calculation can be explained with given input values -> 10.3796 = 4020/sqrt(150000).

FAQ

What is Flat Width Ratio for Safe Load Determination?
The Flat Width Ratio for Safe Load Determination is defined for computing effective area and section modulus. The equation is based on a safety factor of about 1.65 against yield stress at the outer fiber of the section and is represented as wt = 4020/sqrt(fuc) or Flat Width Ratio = 4020/sqrt(Computed Unit Stress of Cold formed Element). Computed Unit Stress of Cold formed Element is the stress upon that element at a certain place, expressed in units of force per unit of cross-sectional area.
How to calculate Flat Width Ratio for Safe Load Determination?
The Flat Width Ratio for Safe Load Determination is defined for computing effective area and section modulus. The equation is based on a safety factor of about 1.65 against yield stress at the outer fiber of the section is calculated using Flat Width Ratio = 4020/sqrt(Computed Unit Stress of Cold formed Element). To calculate Flat Width Ratio for Safe Load Determination, you need Computed Unit Stress of Cold formed Element (fuc). With our tool, you need to enter the respective value for Computed Unit Stress of Cold formed 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 Computed Unit Stress of Cold formed Element. We can use 3 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 = sqrt((Depth of Stiffener Lip/(2.8*Thickness of Steel Compression Element))^6+144)
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