Web Thickness for Minimum Moment of Inertia of Transverse Stiffener 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 actual stiffener spacing is the distance between two stiffeners which is placed either longitudinal (aligned in the span) or transverse (normal to the span).ⓘ Actual Stiffener Spacing [a_o]			+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%

✖Web Thickness is the thickness of the web of the I-section of any beam or column which is between the flanges.ⓘ Web Thickness for Minimum Moment of Inertia of Transverse Stiffener [t]

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Formula

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Web Thickness for Minimum Moment of Inertia of Transverse Stiffener

Formula

`"t" = ("I"/("a"_{"o"}*((2.5*"D"^2/"a"_{"o"}^2)-2)))^(1/3)`

Example

`"21.44043mm"=("12320mm⁴"/("50mm"*((2.5*("45mm")^2/("50mm")^2)-2)))^(1/3)`

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Web Thickness for Minimum Moment of Inertia of Transverse Stiffener Solution

STEP 0: Pre-Calculation Summary

Formula Used

Web Thickness = (Moment of Inertia/(Actual Stiffener Spacing*((2.5*Clear Distance between Flanges^2/Actual Stiffener Spacing^2)-2)))^(1/3)
t = (I/(a_o*((2.5*D^2/a_o^2)-2)))^(1/3)
This formula uses 4 Variables

Variables Used

Web Thickness - (Measured in Meter) - 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 Meter⁴) - 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.
Actual Stiffener Spacing - (Measured in Meter) - The actual stiffener spacing is the distance between two stiffeners which is placed either longitudinal (aligned in the span) or transverse (normal to the span).
Clear Distance between Flanges - (Measured in Meter) - The clear distance between flanges is the support length of the web of an I-section.

STEP 1: Convert Input(s) to Base Unit

Moment of Inertia: 12320 Millimeter⁴ --> 1.232E-08 Meter⁴ (Check conversion here)
Actual Stiffener Spacing: 50 Millimeter --> 0.05 Meter (Check conversion here)
Clear Distance between Flanges: 45 Millimeter --> 0.045 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = (I/(a_o*((2.5*D^2/a_o^2)-2)))^(1/3) --> (1.232E-08/(0.05*((2.5*0.045^2/0.05^2)-2)))^(1/3)

Evaluating ... ...

t = 0.0214404336438616

STEP 3: Convert Result to Output's Unit

0.0214404336438616 Meter -->21.4404336438616 Millimeter (Check conversion here)

FINAL ANSWER

21.4404336438616 ≈ 21.44043 Millimeter <-- Web Thickness

(Calculation completed in 00.004 seconds)

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< 3 Stiffeners on Bridge Girders Calculators

Web Thickness for Minimum Moment of Inertia of Transverse Stiffener

Go Web Thickness = (Moment of Inertia/(Actual Stiffener Spacing*((2.5*Clear Distance between Flanges^2/Actual Stiffener Spacing^2)-2)))^(1/3)

Minimum Moment of Inertia of Transverse Stiffener

Go Moment of Inertia = Actual Stiffener Spacing*Web Thickness^3*(2.5*(Clear Distance between Flanges^2/Actual Stiffener Spacing^2)-2)

Actual Stiffener Spacing for Minimum Moment of Inertia of Transverse Stiffener

Go Actual Stiffener Spacing = Moment of Inertia/(Web Thickness^3*Constant)

Web Thickness for Minimum Moment of Inertia of Transverse Stiffener Formula

Web Thickness = (Moment of Inertia/(Actual Stiffener Spacing*((2.5*Clear Distance between Flanges^2/Actual Stiffener Spacing^2)-2)))^(1/3)
t = (I/(a_o*((2.5*D^2/a_o^2)-2)))^(1/3)

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 second moment of area, also known as area moment of inertia, is a geometrical property of an area which reflects how its points are distributed with regard to an arbitrary axis. If the piece is thin, however, the mass moment of inertia equals the area density times the area moment of inertia

How to Calculate Web Thickness for Minimum Moment of Inertia of Transverse Stiffener?

Web Thickness for Minimum Moment of Inertia of Transverse Stiffener calculator uses Web Thickness = (Moment of Inertia/(Actual Stiffener Spacing*((2.5*Clear Distance between Flanges^2/Actual Stiffener Spacing^2)-2)))^(1/3) to calculate the Web Thickness, The Web Thickness for Minimum Moment of Inertia of Transverse Stiffener formula is defined as the width of the section in a lateral direction. Web Thickness is denoted by t symbol.

How to calculate Web Thickness for Minimum Moment of Inertia of Transverse Stiffener using this online calculator? To use this online calculator for Web Thickness for Minimum Moment of Inertia of Transverse Stiffener, enter Moment of Inertia (I), Actual Stiffener Spacing (a_o) & Clear Distance between Flanges (D) and hit the calculate button. Here is how the Web Thickness for Minimum Moment of Inertia of Transverse Stiffener calculation can be explained with given input values -> 21440.43 = (1.232E-08/(0.05*((2.5*0.045^2/0.05^2)-2)))^(1/3).

FAQ

What is Web Thickness for Minimum Moment of Inertia of Transverse Stiffener?

The Web Thickness for Minimum Moment of Inertia of Transverse Stiffener formula is defined as the width of the section in a lateral direction and is represented as t = (I/(a_o*((2.5*D^2/a_o^2)-2)))^(1/3) or Web Thickness = (Moment of Inertia/(Actual Stiffener Spacing*((2.5*Clear Distance between Flanges^2/Actual Stiffener Spacing^2)-2)))^(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 actual stiffener spacing is the distance between two stiffeners which is placed either longitudinal (aligned in the span) or transverse (normal to the span) & The clear distance between flanges is the support length of the web of an I-section.

How to calculate Web Thickness for Minimum Moment of Inertia of Transverse Stiffener?

The Web Thickness for Minimum Moment of Inertia of Transverse Stiffener formula is defined as the width of the section in a lateral direction is calculated using Web Thickness = (Moment of Inertia/(Actual Stiffener Spacing*((2.5*Clear Distance between Flanges^2/Actual Stiffener Spacing^2)-2)))^(1/3). To calculate Web Thickness for Minimum Moment of Inertia of Transverse Stiffener, you need Moment of Inertia (I), Actual Stiffener Spacing (a_o) & Clear Distance between Flanges (D). With our tool, you need to enter the respective value for Moment of Inertia, Actual Stiffener Spacing & Clear Distance between Flanges 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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