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Bearing Pressure given Plate Thickness Formula

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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. Check FAQs

f p = {(\frac{t}{2 \cdot p})}^{2} \cdot F y

f_p - Actual Bearing Pressure?t - Minimum Plate Thickness?p - Limiting Size?F_y - Yield Stress of Steel?

Bearing Pressure given Plate Thickness Example

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

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

Here is how the Bearing Pressure given Plate Thickness equation looks like.

10 = {(\frac{16}{2 \cdot 40})}^{2} \cdot 250

10MPa = {(\frac{16mm}{2 \cdot 40mm})}^{2} \cdot 250MPa

10 = {(\frac{16}{2 \cdot 40})}^{2} \cdot 250

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Bearing Pressure given Plate Thickness Solution

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

FIRST Step Consider the formula

f p = {(\frac{t}{2 \cdot p})}^{2} \cdot F y

Next Step Substitute values of Variables

∴

f p = {(\frac{16mm}{2 \cdot 40mm})}^{2} \cdot 250MPa

Next Step Convert Units

∴

f p = {(\frac{0.016m}{2 \cdot 0.04m})}^{2} \cdot 2.5E+8Pa

Next Step Prepare to Evaluate

∴

f p = {(\frac{0.016}{2 \cdot 0.04})}^{2} \cdot 2.5E+8

Next Step Evaluate

∴

f p = 10000000Pa

LAST Step Convert to Output's Unit

∴

f p = 10MPa

Bearing Pressure given Plate Thickness Formula Elements

Variables

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

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

Limiting Size

Limiting Size is the larger value among 0.5(N -0.95d) and 0.5(B -0.80b), where N is the plate length, B is the minimum width of plate, d is the depth of column and b is the width of flange.

Symbol: p

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Limiting Size

Yield Stress of Steel

Yield Stress of Steel is the stress at which the material begins to deform plastically, meaning it will not return to its original shape when the applied force is removed.

Symbol: F_y

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Yield Stress of Steel

Other formulas in Column Base Plates category

Go Area Required by Base Plate

A 1 = \frac{C l}{0.7 \cdot f c'}

Go Column Load for given Base Plate Area

C l = A 1 \cdot 0.7 \cdot f c'

Go Plate Length

N = \sqrt{A 1} + (0.5 \cdot ((0.95 \cdot d) - (0.80 \cdot B)))

Go Thickness of Plate

t = 2 \cdot p \cdot \sqrt{\frac{f p}{F y}}

How to Evaluate Bearing Pressure given Plate Thickness?

Bearing Pressure given Plate Thickness evaluator uses Actual Bearing Pressure = (Minimum Plate Thickness/(2*Limiting Size))^2*Yield Stress of Steel to evaluate the Actual Bearing Pressure, The Bearing Pressure given Plate Thickness formula is defined as the actual bearing pressure of the base plate used in columns with already established plate thickness and width. Actual Bearing Pressure is denoted by f_p symbol.

How to evaluate Bearing Pressure given Plate Thickness using this online evaluator? To use this online evaluator for Bearing Pressure given Plate Thickness, enter Minimum Plate Thickness (t), Limiting Size (p) & Yield Stress of Steel (F_y) and hit the calculate button.

FAQs on Bearing Pressure given Plate Thickness

What is the formula to find Bearing Pressure given Plate Thickness?

The formula of Bearing Pressure given Plate Thickness is expressed as Actual Bearing Pressure = (Minimum Plate Thickness/(2*Limiting Size))^2*Yield Stress of Steel. Here is an example- 4E-5 = (0.016/(2*0.04))^2*250000000.

How to calculate Bearing Pressure given Plate Thickness?

With Minimum Plate Thickness (t), Limiting Size (p) & Yield Stress of Steel (F_y) we can find Bearing Pressure given Plate Thickness using the formula - Actual Bearing Pressure = (Minimum Plate Thickness/(2*Limiting Size))^2*Yield Stress of Steel.

Can the Bearing Pressure given Plate Thickness be negative?

No, the Bearing Pressure given Plate Thickness, measured in Pressure cannot be negative.

Which unit is used to measure Bearing Pressure given Plate Thickness?

Bearing Pressure given Plate Thickness is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Bearing Pressure given Plate Thickness can be measured.

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Bearing Pressure given Plate Thickness Formula

Bearing Pressure given Plate Thickness Example

Bearing Pressure given Plate Thickness Solution

Bearing Pressure given Plate Thickness Formula Elements

Other formulas in Column Base Plates category

How to Evaluate Bearing Pressure given Plate Thickness?

FAQs on Bearing Pressure given Plate Thickness

Variable Name