Flat Width Ratio for Deflection Determination Calculator

✖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.ⓘ Computed Unit Stress of Cold formed Element [f_uc]

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✖Flat Width Ratio is the ratio of width w of a single flat element to the thickness t of the element.ⓘ Flat Width Ratio for Deflection Determination [w_t]

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Formula

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Flat Width Ratio for Deflection Determination

Formula

`"w"_{"t"} = 5160/sqrt("f"_{"uc"})`

Example

`"13.32306"=5160/sqrt("0.15MPa")`

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Download Cold Formed or Light Weighted Steel Structures Formulas PDF

Flat Width Ratio for Deflection Determination Solution

STEP 0: Pre-Calculation Summary

Formula Used

Flat Width Ratio = 5160/sqrt(Computed Unit Stress of Cold formed Element)
w_t = 5160/sqrt(f_uc)
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

w_t = 5160/sqrt(f_uc) --> 5160/sqrt(150000)

Evaluating ... ...

w_t = 13.3230627109535

STEP 3: Convert Result to Output's Unit

13.3230627109535 --> No Conversion Required

FINAL ANSWER

13.3230627109535 ≈ 13.32306 <-- Flat Width Ratio

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 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 for Deflection Determination Formula

Flat Width Ratio = 5160/sqrt(Computed Unit Stress of Cold formed Element)
w_t = 5160/sqrt(f_uc)

What are the Maximum Width to Thickness Limit Ratios according to IS 801 and BS 5950?

The Stiffened elements with one longitudinal edge connected to a flange or web element and the other stiffened by a simple lip: 60

The Stiffened elements with both longitudinal edges connected to other stiffened elements: 500

The Unstiffened compression elements: 60

How to Calculate Flat Width Ratio for Deflection Determination?

Flat Width Ratio for Deflection Determination calculator uses Flat Width Ratio = 5160/sqrt(Computed Unit Stress of Cold formed Element) to calculate the Flat Width Ratio, The Flat Width Ratio for Deflection Determination is defined in computing moment of inertia to be used in deflection calculations or other calculations involving stiffness. Flat Width Ratio is denoted by w_t symbol.

How to calculate Flat Width Ratio for Deflection Determination using this online calculator? To use this online calculator for Flat Width Ratio for Deflection Determination, enter Computed Unit Stress of Cold formed Element (f_uc) and hit the calculate button. Here is how the Flat Width Ratio for Deflection Determination calculation can be explained with given input values -> 13.32306 = 5160/sqrt(150000).

FAQ

What is Flat Width Ratio for Deflection Determination?

The Flat Width Ratio for Deflection Determination is defined in computing moment of inertia to be used in deflection calculations or other calculations involving stiffness and is represented as w_t = 5160/sqrt(f_uc) or Flat Width Ratio = 5160/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 Deflection Determination?

The Flat Width Ratio for Deflection Determination is defined in computing moment of inertia to be used in deflection calculations or other calculations involving stiffness is calculated using Flat Width Ratio = 5160/sqrt(Computed Unit Stress of Cold formed Element). To calculate Flat Width Ratio for Deflection Determination, you need Computed Unit Stress of Cold formed Element (f_uc). 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 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 = sqrt((Depth of Stiffener Lip/(2.8*Thickness of Steel Compression Element))^6+144)
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)

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