Web Thickness given Moment of Inertia of Longitudinal Stiffeners Calculator

✖The moment of inertia is the quantity expressed by the body resisting angular acceleration, which is the sum of the product of the mass with its square of the distance from the axis of rotation.ⓘ Moment of Inertia [I]			+10% -10%
✖The clear distance between flanges is the support length of the web of an I-section.ⓘ Clear Distance between Flanges [D]			+10% -10%
✖The actual distance between transverse stiffeners is the distance between which are aligned normal to the span direction of the beam.ⓘ Actual Distance between Transverse Stiffeners [A_o]			+10% -10%

✖Web Thickness is the thickness of the web of the I-section of any beam or column which is between the flanges.ⓘ Web Thickness given Moment of Inertia of Longitudinal Stiffeners [t]

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Formula

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Web Thickness given Moment of Inertia of Longitudinal Stiffeners

Formula

`"t" = ("I"/("D"*(2.4*("A"_{"o"}^2/"D"^2)-0.13)))^(1/3)`

Example

`"18.88223mm"=("12320mm⁴"/("45mm"*(2.4*(("12mm")^2/("45mm")^2)-0.13)))^(1/3)`

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Web Thickness given Moment of Inertia of Longitudinal Stiffeners Solution

STEP 0: Pre-Calculation Summary

Formula Used

Web Thickness = (Moment of Inertia/(Clear Distance between Flanges*(2.4*(Actual Distance between Transverse Stiffeners^2/Clear Distance between Flanges^2)-0.13)))^(1/3)
t = (I/(D*(2.4*(A_o^2/D^2)-0.13)))^(1/3)
This formula uses 4 Variables

Variables Used

Web Thickness - (Measured in Millimeter) - Web Thickness is the thickness of the web of the I-section of any beam or column which is between the flanges.
Moment of Inertia - (Measured in Millimeter⁴) - The moment of inertia is the quantity expressed by the body resisting angular acceleration, which is the sum of the product of the mass with its square of the distance from the axis of rotation.
Clear Distance between Flanges - (Measured in Millimeter) - The clear distance between flanges is the support length of the web of an I-section.
Actual Distance between Transverse Stiffeners - (Measured in Millimeter) - The actual distance between transverse stiffeners is the distance between which are aligned normal to the span direction of the beam.

STEP 1: Convert Input(s) to Base Unit

Moment of Inertia: 12320 Millimeter⁴ --> 12320 Millimeter⁴ No Conversion Required
Clear Distance between Flanges: 45 Millimeter --> 45 Millimeter No Conversion Required
Actual Distance between Transverse Stiffeners: 12 Millimeter --> 12 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = (I/(D*(2.4*(A_o^2/D^2)-0.13)))^(1/3) --> (12320/(45*(2.4*(12^2/45^2)-0.13)))^(1/3)

Evaluating ... ...

t = 18.8822266376205

STEP 3: Convert Result to Output's Unit

0.0188822266376205 Meter -->18.8822266376205 Millimeter (Check conversion here)

FINAL ANSWER

18.8822266376205 ≈ 18.88223 Millimeter <-- Web Thickness

(Calculation completed in 00.004 seconds)

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< 2 Longitudinal Stiffeners Calculators

Web Thickness given Moment of Inertia of Longitudinal Stiffeners

Go Web Thickness = (Moment of Inertia/(Clear Distance between Flanges*(2.4*(Actual Distance between Transverse Stiffeners^2/Clear Distance between Flanges^2)-0.13)))^(1/3)

Moment of Inertia of Longitudinal Stiffeners

Go Moment of Inertia = Clear Distance between Flanges*Web Thickness^3*(2.4*(Actual Distance between Transverse Stiffeners^2/Clear Distance between Flanges^2)-0.13)

Web Thickness given Moment of Inertia of Longitudinal Stiffeners Formula

What is Web thickness?

The thickness of the vertical center section of a steel beam (“D”).The part of the Structural Beam that provides resistance to shear forces (breaking, tearing apart, or collapsing) is the web, while the flanges resist the bending movement of the section

What is Moment of Inertia?

The area moment of inertia is a property of a two-dimensional plane shape which characterizes its deflection under loading. It is also known as the second moment of area or second moment of inertia. The area moment of inertia has dimensions of length to the fourth power.

How to Calculate Web Thickness given Moment of Inertia of Longitudinal Stiffeners?

Web Thickness given Moment of Inertia of Longitudinal Stiffeners calculator uses Web Thickness = (Moment of Inertia/(Clear Distance between Flanges*(2.4*(Actual Distance between Transverse Stiffeners^2/Clear Distance between Flanges^2)-0.13)))^(1/3) to calculate the Web Thickness, The Web Thickness given Moment of Inertia of Longitudinal Stiffeners formula is defined as the width of the web of the section in the lateral direction. Web Thickness is denoted by t symbol.

How to calculate Web Thickness given Moment of Inertia of Longitudinal Stiffeners using this online calculator? To use this online calculator for Web Thickness given Moment of Inertia of Longitudinal Stiffeners, enter Moment of Inertia (I), Clear Distance between Flanges (D) & Actual Distance between Transverse Stiffeners (A_o) and hit the calculate button. Here is how the Web Thickness given Moment of Inertia of Longitudinal Stiffeners calculation can be explained with given input values -> 18882.23 = (1.232E-08/(0.045*(2.4*(0.012^2/0.045^2)-0.13)))^(1/3).

FAQ

What is Web Thickness given Moment of Inertia of Longitudinal Stiffeners?

The Web Thickness given Moment of Inertia of Longitudinal Stiffeners formula is defined as the width of the web of the section in the lateral direction and is represented as t = (I/(D*(2.4*(A_o^2/D^2)-0.13)))^(1/3) or Web Thickness = (Moment of Inertia/(Clear Distance between Flanges*(2.4*(Actual Distance between Transverse Stiffeners^2/Clear Distance between Flanges^2)-0.13)))^(1/3). The moment of inertia is the quantity expressed by the body resisting angular acceleration, which is the sum of the product of the mass with its square of the distance from the axis of rotation, The clear distance between flanges is the support length of the web of an I-section & The actual distance between transverse stiffeners is the distance between which are aligned normal to the span direction of the beam.

How to calculate Web Thickness given Moment of Inertia of Longitudinal Stiffeners?

The Web Thickness given Moment of Inertia of Longitudinal Stiffeners formula is defined as the width of the web of the section in the lateral direction is calculated using Web Thickness = (Moment of Inertia/(Clear Distance between Flanges*(2.4*(Actual Distance between Transverse Stiffeners^2/Clear Distance between Flanges^2)-0.13)))^(1/3). To calculate Web Thickness given Moment of Inertia of Longitudinal Stiffeners, you need Moment of Inertia (I), Clear Distance between Flanges (D) & Actual Distance between Transverse Stiffeners (A_o). With our tool, you need to enter the respective value for Moment of Inertia, Clear Distance between Flanges & Actual Distance between Transverse Stiffeners 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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