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Web Thickness for Minimum Moment of Inertia of Transverse Stiffener Formula

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Web Thickness is the thickness of the web of the I-section of any beam or column which is between the flanges. Check FAQs

t = {(\frac{I}{a o \cdot ((2.5 \cdot \frac{D^{2}}{{a o}^{2}}) - 2)})}^{\frac{1}{3}}

t - Web Thickness?I - Moment of Inertia?a_o - Actual Stiffener Spacing?D - Clear Distance between Flanges?

Web Thickness for Minimum Moment of Inertia of Transverse Stiffener Example

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Here is how the Web Thickness for Minimum Moment of Inertia of Transverse Stiffener equation looks like with Values.

Here is how the Web Thickness for Minimum Moment of Inertia of Transverse Stiffener equation looks like with Units.

Here is how the Web Thickness for Minimum Moment of Inertia of Transverse Stiffener equation looks like.

21.4404 = {(\frac{12320}{50 \cdot ((2.5 \cdot \frac{45^{2}}{50^{2}}) - 2)})}^{\frac{1}{3}}

21.4404mm = {(\frac{12320mm⁴}{50mm \cdot ((2.5 \cdot \frac{{45mm}^{2}}{{50mm}^{2}}) - 2)})}^{\frac{1}{3}}

21.4404 = {(\frac{12320}{50 \cdot ((2.5 \cdot \frac{45^{2}}{50^{2}}) - 2)})}^{\frac{1}{3}}

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Web Thickness for Minimum Moment of Inertia of Transverse Stiffener Solution

Follow our step by step solution on how to calculate Web Thickness for Minimum Moment of Inertia of Transverse Stiffener?

FIRST Step Consider the formula

t = {(\frac{I}{a o \cdot ((2.5 \cdot \frac{D^{2}}{{a o}^{2}}) - 2)})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

t = {(\frac{12320mm⁴}{50mm \cdot ((2.5 \cdot \frac{{45mm}^{2}}{{50mm}^{2}}) - 2)})}^{\frac{1}{3}}

Next Step Convert Units

∴

t = {(\frac{1.2E-8m⁴}{0.05m \cdot ((2.5 \cdot \frac{{0.045m}^{2}}{{0.05m}^{2}}) - 2)})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

t = {(\frac{1.2E-8}{0.05 \cdot ((2.5 \cdot \frac{{0.045}^{2}}{{0.05}^{2}}) - 2)})}^{\frac{1}{3}}

Next Step Evaluate

∴

t = 0.0214404336438616m

Next Step Convert to Output's Unit

∴

t = 21.4404336438616mm

LAST Step Rounding Answer

∴

t = 21.4404mm

Web Thickness for Minimum Moment of Inertia of Transverse Stiffener Formula Elements

Variables

Web Thickness

Web Thickness is the thickness of the web of the I-section of any beam or column which is between the flanges.

Symbol: t

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Web Thickness

Moment of Inertia

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.

Symbol: I

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value can be positive or negative.

Formulas to find Moment of Inertia

Actual Stiffener Spacing

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).

Symbol: a_o

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Actual Stiffener Spacing

Clear Distance between Flanges

The clear distance between flanges is the support length of the web of an I-section.

Symbol: D

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Clear Distance between Flanges

Other formulas in Stiffeners on Bridge Girders category

Go Minimum Moment of Inertia of Transverse Stiffener

I = a o \cdot t^{3} \cdot (2.5 \cdot (\frac{D^{2}}{{a o}^{2}}) - 2)

Go Actual Stiffener Spacing for Minimum Moment of Inertia of Transverse Stiffener

a o = \frac{I}{t^{3} \cdot J}

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

Web Thickness for Minimum Moment of Inertia of Transverse Stiffener evaluator uses Web Thickness = (Moment of Inertia/(Actual Stiffener Spacing*((2.5*Clear Distance between Flanges^2/Actual Stiffener Spacing^2)-2)))^(1/3) to evaluate 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 evaluate Web Thickness for Minimum Moment of Inertia of Transverse Stiffener using this online evaluator? To use this online evaluator 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.

FAQs on Web Thickness for Minimum Moment of Inertia of Transverse Stiffener

What is the formula to find Web Thickness for Minimum Moment of Inertia of Transverse Stiffener?

The formula of Web Thickness for Minimum Moment of Inertia of Transverse Stiffener is expressed as Web Thickness = (Moment of Inertia/(Actual Stiffener Spacing*((2.5*Clear Distance between Flanges^2/Actual Stiffener Spacing^2)-2)))^(1/3). Here is an example- 21440.43 = (1.232E-08/(0.05*((2.5*0.045^2/0.05^2)-2)))^(1/3).

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

With Moment of Inertia (I), Actual Stiffener Spacing (a_o) & Clear Distance between Flanges (D) we can find Web Thickness for Minimum Moment of Inertia of Transverse Stiffener using the formula - Web Thickness = (Moment of Inertia/(Actual Stiffener Spacing*((2.5*Clear Distance between Flanges^2/Actual Stiffener Spacing^2)-2)))^(1/3).

Can the Web Thickness for Minimum Moment of Inertia of Transverse Stiffener be negative?

Yes, the Web Thickness for Minimum Moment of Inertia of Transverse Stiffener, measured in Length can be negative.

Which unit is used to measure Web Thickness for Minimum Moment of Inertia of Transverse Stiffener?

Web Thickness for Minimum Moment of Inertia of Transverse Stiffener is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Web Thickness for Minimum Moment of Inertia of Transverse Stiffener can be measured.

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Web Thickness for Minimum Moment of Inertia of Transverse Stiffener Formula

Web Thickness for Minimum Moment of Inertia of Transverse Stiffener Example

Web Thickness for Minimum Moment of Inertia of Transverse Stiffener Solution

Web Thickness for Minimum Moment of Inertia of Transverse Stiffener Formula Elements

Other formulas in Stiffeners on Bridge Girders category

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

FAQs on Web Thickness for Minimum Moment of Inertia of Transverse Stiffener

Variable Name