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Plate Thickness Formula

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Minimum Plate Thickness is the distance between the top and bottom surfaces of a flat, solid plate. This distance is typically measured in millimeters or inches. Check FAQs

t = ((\frac{1}{2}) \cdot B - k) \cdot \sqrt{3 \cdot \frac{f p}{F b}}

t - Minimum Plate Thickness?B - Width of Plate?k - Distance from Beam Bottom to Web Fillet?f_p - Actual Bearing Pressure?F_b - Allowable Bending Stress?

Plate Thickness Example

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With units

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Here is how the Plate Thickness equation looks like with Values.

Here is how the Plate Thickness equation looks like with Units.

Here is how the Plate Thickness equation looks like.

15.8114 = ((\frac{1}{2}) \cdot 150 - 70) \cdot \sqrt{3 \cdot \frac{10}{3}}

15.8114mm = ((\frac{1}{2}) \cdot 150mm - 70mm) \cdot \sqrt{3 \cdot \frac{10MPa}{3MPa}}

15.8114 = ((\frac{1}{2}) \cdot 150 - 70) \cdot \sqrt{3 \cdot \frac{10}{3}}

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Plate Thickness Solution

Follow our step by step solution on how to calculate Plate Thickness?

FIRST Step Consider the formula

t = ((\frac{1}{2}) \cdot B - k) \cdot \sqrt{3 \cdot \frac{f p}{F b}}

Next Step Substitute values of Variables

∴

t = ((\frac{1}{2}) \cdot 150mm - 70mm) \cdot \sqrt{3 \cdot \frac{10MPa}{3MPa}}

Next Step Convert Units

∴

t = ((\frac{1}{2}) \cdot 0.15m - 0.07m) \cdot \sqrt{3 \cdot \frac{1E+7Pa}{3E+6Pa}}

Next Step Prepare to Evaluate

∴

t = ((\frac{1}{2}) \cdot 0.15 - 0.07) \cdot \sqrt{3 \cdot \frac{1E+7}{3E+6}}

Next Step Evaluate

∴

t = 0.0158113883008419m

Next Step Convert to Output's Unit

∴

t = 15.8113883008419mm

LAST Step Rounding Answer

∴

t = 15.8114mm

Plate Thickness Formula Elements

Variables

Functions

Minimum Plate Thickness

Minimum Plate Thickness is the distance between the top and bottom surfaces of a flat, solid plate. This distance is typically measured in millimeters or inches.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Minimum Plate Thickness

Width of Plate

Width of Plate is one of the surface dimensions of a flat, solid plate, typically measured in millimeters or inches. It is one of the larger surface dimensions, while thickness is smaller dimension.

Symbol: B

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Plate

Distance from Beam Bottom to Web Fillet

Distance from Beam Bottom to Web Fillet is the distance from the outer face of the flange (the bottom of the beam) to the web toe of the fillet.

Symbol: k

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Beam Bottom to Web Fillet

Actual Bearing Pressure

Actual Bearing Pressure is the exact bearing capacity of the given structure, in simple words it is the ratio of the applied load to the contact area.

Symbol: f_p

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Actual Bearing Pressure

Allowable Bending Stress

Allowable Bending Stress is the maximum bending stress that can be applied to a material or a structural element without causing failure.

Symbol: F_b

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Allowable Bending Stress

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.

Syntax: sqrt(Number)

Other formulas in Bearing Plates category

Go Bearing Plate Area for Full Concrete Area Support

A 1 = \frac{R}{0.35 \cdot f c'}

Go Bearing Plate Area for Less than Full Concrete Area

A 1 = {(\frac{R}{0.35 \cdot f c' \cdot \sqrt{A 2}})}^{2}

Go Beam Reaction given Area Required by Bearing Plate

R = A 1 \cdot 0.35 \cdot f c'

Go Actual Bearing Pressure under Plate

f p = \frac{R}{B \cdot N}

How to Evaluate Plate Thickness?

Plate Thickness evaluator uses Minimum Plate Thickness = ((1/2)*Width of Plate-Distance from Beam Bottom to Web Fillet)*sqrt(3*Actual Bearing Pressure/Allowable Bending Stress) to evaluate the Minimum Plate Thickness, The Plate Thickness formula is defined as the distance through the bearing plate involving the relation between allowable bending and actual bearing stress and also the width of the plate and distance from beam to web. Minimum Plate Thickness is denoted by t symbol.

How to evaluate Plate Thickness using this online evaluator? To use this online evaluator for Plate Thickness, enter Width of Plate (B), Distance from Beam Bottom to Web Fillet (k), Actual Bearing Pressure (f_p) & Allowable Bending Stress (F_b) and hit the calculate button.

FAQs on Plate Thickness

What is the formula to find Plate Thickness?

The formula of Plate Thickness is expressed as Minimum Plate Thickness = ((1/2)*Width of Plate-Distance from Beam Bottom to Web Fillet)*sqrt(3*Actual Bearing Pressure/Allowable Bending Stress). Here is an example- 55901.7 = ((1/2)*0.15-0.07)*sqrt(3*10000000/3000000).

How to calculate Plate Thickness?

With Width of Plate (B), Distance from Beam Bottom to Web Fillet (k), Actual Bearing Pressure (f_p) & Allowable Bending Stress (F_b) we can find Plate Thickness using the formula - Minimum Plate Thickness = ((1/2)*Width of Plate-Distance from Beam Bottom to Web Fillet)*sqrt(3*Actual Bearing Pressure/Allowable Bending Stress). This formula also uses Square Root (sqrt) function(s).

Can the Plate Thickness be negative?

No, the Plate Thickness, measured in Length cannot be negative.

Which unit is used to measure Plate Thickness?

Plate Thickness is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Plate Thickness can be measured.

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Plate Thickness Formula

Plate Thickness Example

Plate Thickness Solution

Plate Thickness Formula Elements

Other formulas in Bearing Plates category

How to Evaluate Plate Thickness?

FAQs on Plate Thickness

Variable Name