Flat Width Ratio of Stiffened Element using Moment of Inertia Solution

STEP 0: Pre-Calculation Summary
Formula Used
Flat Width Ratio = sqrt((Minimum Area Moment of Inertia/(1.83*Thickness of Steel Compression Element^4))^2+144)
wt = sqrt((Imin/(1.83*t^4))^2+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.
Minimum Area Moment of Inertia - (Measured in Meter⁴) - The Minimum Area Moment of Inertia is the limiting moment of inertia ( quantitative measure of the rotational inertia) for satisfying any structural situation.
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
Minimum Area Moment of Inertia: 7400000 Millimeter⁴ --> 7.4E-06 Meter⁴ (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((Imin/(1.83*t^4))^2+144) --> sqrt((7.4E-06/(1.83*0.03^4))^2+144)
Evaluating ... ...
wt = 12.9970180446904
STEP 3: Convert Result to Output's Unit
12.9970180446904 --> No Conversion Required
FINAL ANSWER
12.9970180446904 12.99702 <-- Flat Width Ratio
(Calculation completed in 00.006 seconds)

Credits

Creator Image
Created by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
Chandana P Dev has created this Calculator and 500+ more calculators!
Verifier Image
Verified by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has verified this Calculator and 700+ more calculators!

Cold Formed or Light Weighted Steel Structures Calculators

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)
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 of Stiffened Element using Moment of Inertia Formula

Flat Width Ratio = sqrt((Minimum Area Moment of Inertia/(1.83*Thickness of Steel Compression Element^4))^2+144)
wt = sqrt((Imin/(1.83*t^4))^2+144)

What is Stiffened Compression Member?

A structural element, subject to compressive forces, that has been reinforced or stiffened, along a line perpendicular to its weak axis of bending, in order to provide additional strength against buckling is called as stiffened compression member.

How to Calculate Flat Width Ratio of Stiffened Element using Moment of Inertia?

Flat Width Ratio of Stiffened Element using Moment of Inertia calculator uses Flat Width Ratio = sqrt((Minimum Area Moment of Inertia/(1.83*Thickness of Steel Compression Element^4))^2+144) to calculate the Flat Width Ratio, The Flat Width Ratio of Stiffened Element using Moment of Inertia is defined as the width to thickness ratio of the compression member which is qualified as the stiffened compression member. Flat Width Ratio is denoted by wt symbol.

How to calculate Flat Width Ratio of Stiffened Element using Moment of Inertia using this online calculator? To use this online calculator for Flat Width Ratio of Stiffened Element using Moment of Inertia, enter Minimum Area Moment of Inertia (Imin) & Thickness of Steel Compression Element (t) and hit the calculate button. Here is how the Flat Width Ratio of Stiffened Element using Moment of Inertia calculation can be explained with given input values -> 12 = sqrt((7.4E-06/(1.83*0.03^4))^2+144).

FAQ

What is Flat Width Ratio of Stiffened Element using Moment of Inertia?
The Flat Width Ratio of Stiffened Element using Moment of Inertia is defined as the width to thickness ratio of the compression member which is qualified as the stiffened compression member and is represented as wt = sqrt((Imin/(1.83*t^4))^2+144) or Flat Width Ratio = sqrt((Minimum Area Moment of Inertia/(1.83*Thickness of Steel Compression Element^4))^2+144). The Minimum Area Moment of Inertia is the limiting moment of inertia ( quantitative measure of the rotational inertia) for satisfying any structural situation & The Thickness of Steel Compression Element is the thickness of element or plate.
How to calculate Flat Width Ratio of Stiffened Element using Moment of Inertia?
The Flat Width Ratio of Stiffened Element using Moment of Inertia is defined as the width to thickness ratio of the compression member which is qualified as the stiffened compression member is calculated using Flat Width Ratio = sqrt((Minimum Area Moment of Inertia/(1.83*Thickness of Steel Compression Element^4))^2+144). To calculate Flat Width Ratio of Stiffened Element using Moment of Inertia, you need Minimum Area Moment of Inertia (Imin) & Thickness of Steel Compression Element (t). With our tool, you need to enter the respective value for Minimum Area Moment of Inertia & 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 Minimum Area Moment of Inertia & Thickness of Steel Compression Element. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!