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Minimum Width of Plate given Plate Thickness Formula

GoMinimum Width of Plate using Actual Bearing Pressure Formula

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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. Check FAQs

B = 2 \cdot t \cdot \sqrt{\frac{F b}{3 \cdot f p}} + 2 \cdot k

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

Minimum Width of Plate given Plate Thickness Example

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Here is how the Minimum Width of Plate given Plate Thickness equation looks like with Values.

Here is how the Minimum Width of Plate given Plate Thickness equation looks like with Units.

Here is how the Minimum Width of Plate given Plate Thickness equation looks like.

150.1193 = 2 \cdot 16 \cdot \sqrt{\frac{3}{3 \cdot 10}} + 2 \cdot 70

150.1193mm = 2 \cdot 16mm \cdot \sqrt{\frac{3MPa}{3 \cdot 10MPa}} + 2 \cdot 70mm

150.1193 = 2 \cdot 16 \cdot \sqrt{\frac{3}{3 \cdot 10}} + 2 \cdot 70

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Minimum Width of Plate given Plate Thickness Solution

Follow our step by step solution on how to calculate Minimum Width of Plate given Plate Thickness?

FIRST Step Consider the formula

B = 2 \cdot t \cdot \sqrt{\frac{F b}{3 \cdot f p}} + 2 \cdot k

Next Step Substitute values of Variables

∴

B = 2 \cdot 16mm \cdot \sqrt{\frac{3MPa}{3 \cdot 10MPa}} + 2 \cdot 70mm

Next Step Convert Units

∴

B = 2 \cdot 0.016m \cdot \sqrt{\frac{3E+6Pa}{3 \cdot 1E+7Pa}} + 2 \cdot 0.07m

Next Step Prepare to Evaluate

∴

B = 2 \cdot 0.016 \cdot \sqrt{\frac{3E+6}{3 \cdot 1E+7}} + 2 \cdot 0.07

Next Step Evaluate

∴

B = 0.150119288512539m

Next Step Convert to Output's Unit

∴

B = 150.119288512539mm

LAST Step Rounding Answer

∴

B = 150.1193mm

Minimum Width of Plate given Plate Thickness Formula Elements

Variables

Functions

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

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

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

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

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

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 to find Width of Plate

Go Minimum Width of Plate using Actual Bearing Pressure

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

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 Minimum Width of Plate given Plate Thickness?

Minimum Width of Plate given Plate Thickness evaluator uses Width of Plate = 2*Minimum Plate Thickness*sqrt(Allowable Bending Stress/(3*Actual Bearing Pressure))+2*Distance from Beam Bottom to Web Fillet to evaluate the Width of Plate, The Minimum Width of Plate given Plate Thickness formula is defined as the least width that should be maintained by the bearing plate when the thickness is established. Width of Plate is denoted by B symbol.

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

FAQs on Minimum Width of Plate given Plate Thickness

What is the formula to find Minimum Width of Plate given Plate Thickness?

The formula of Minimum Width of Plate given Plate Thickness is expressed as Width of Plate = 2*Minimum Plate Thickness*sqrt(Allowable Bending Stress/(3*Actual Bearing Pressure))+2*Distance from Beam Bottom to Web Fillet. Here is an example- 142862.2 = 2*0.016*sqrt(3000000/(3*10000000))+2*0.07.

How to calculate Minimum Width of Plate given Plate Thickness?

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

What are the other ways to Calculate Width of Plate?

Here are the different ways to Calculate Width of Plate-

Width of Plate=Concentrated Load of Reaction/(Actual Bearing Pressure*Bearing or Plate Length)

Can the Minimum Width of Plate given Plate Thickness be negative?

No, the Minimum Width of Plate given Plate Thickness, measured in Length cannot be negative.

Which unit is used to measure Minimum Width of Plate given Plate Thickness?

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

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Minimum Width of Plate given Plate Thickness Formula

​GoMinimum Width of Plate using Actual Bearing Pressure Formula

Minimum Width of Plate given Plate Thickness Example

Minimum Width of Plate given Plate Thickness Solution

Minimum Width of Plate given Plate Thickness Formula Elements

Other Formulas to find Width of Plate

Other formulas in Bearing Plates category

How to Evaluate Minimum Width of Plate given Plate Thickness?

FAQs on Minimum Width of Plate given Plate Thickness

Variable Name

GoMinimum Width of Plate using Actual Bearing Pressure Formula