Bearing Pressure given Plate Thickness Calculator

✖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.ⓘ Minimum Plate Thickness [t]			+10% -10%
✖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.ⓘ Limiting Size [p]			+10% -10%
✖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.ⓘ Yield Stress of Steel [F_y]			+10% -10%

✖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.ⓘ Bearing Pressure given Plate Thickness [f_p]

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Formula

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Bearing Pressure given Plate Thickness

Formula

`"f"_{"p"} = ("t"/(2*"p"))^2*"F"_{"y"}`

Example

`"10MPa"=("16mm"/(2*"40mm"))^2*"250MPa"`

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Bearing Pressure given Plate Thickness Solution

STEP 0: Pre-Calculation Summary

Formula Used

Actual Bearing Pressure = (Minimum Plate Thickness/(2*Limiting Size))^2*Yield Stress of Steel
f_p = (t/(2*p))^2*F_y
This formula uses 4 Variables

Variables Used

Actual Bearing Pressure - (Measured in Pascal) - 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.
Minimum Plate Thickness - (Measured in Meter) - 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.
Limiting Size - (Measured in Meter) - 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.
Yield Stress of Steel - (Measured in Pascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Minimum Plate Thickness: 16 Millimeter --> 0.016 Meter (Check conversion here)
Limiting Size: 40 Millimeter --> 0.04 Meter (Check conversion here)
Yield Stress of Steel: 250 Megapascal --> 250000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_p = (t/(2*p))^2*F_y --> (0.016/(2*0.04))^2*250000000

Evaluating ... ...

f_p = 10000000

STEP 3: Convert Result to Output's Unit

10000000 Pascal -->10 Megapascal (Check conversion here)

FINAL ANSWER

10 Megapascal <-- Actual Bearing Pressure

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 8 Column Base Plates Calculators

Thickness of Plate for H shaped Column

Go Minimum Plate Thickness = Flange Thickness of H Shaped Columns*sqrt((3*Actual Bearing Pressure)/Allowable Bending Stress)

Plate Length

Go Bearing or Plate Length = sqrt(Area required by Bearing Plate)+(0.5*((0.95*Column Depth)-(0.80*Width of Plate)))

Column Flange Width given Plate Length

Go Width of Plate = (0.95*Column Depth-(Bearing or Plate Length-sqrt(Area required by Bearing Plate))/0.5)/0.80

Column Depth using Plate Length

Go Column Depth = (Bearing or Plate Length-(sqrt(Area required by Bearing Plate))+(0.80*Width of Plate))/0.95

Thickness of Plate

Go Minimum Plate Thickness = 2*Limiting Size*sqrt(Actual Bearing Pressure/Yield Stress of Steel)

Bearing Pressure given Plate Thickness

Go Actual Bearing Pressure = (Minimum Plate Thickness/(2*Limiting Size))^2*Yield Stress of Steel

Area Required by Base Plate

Go Area required by Bearing Plate = Column Load/(0.7*Specified Compressive Strength of Concrete)

Column Load for given Base Plate Area

Go Column Load = Area required by Bearing Plate*0.7*Specified Compressive Strength of Concrete

Bearing Pressure given Plate Thickness Formula

Actual Bearing Pressure = (Minimum Plate Thickness/(2*Limiting Size))^2*Yield Stress of Steel
f_p = (t/(2*p))^2*F_y

What is Base Plate & types of Columns based on Slenderness Ratio?

The Base plates are usually used to distribute column loads over a large enough area of supporting concrete construction that the design bearing strength of the concrete is not exceeded. It acts as a support to transfer the compression load acting over the columns. Column bases are usually assumed to be subject to axial compression and shear only.
Types of columns are as follows:
Long or Slender column: Length is more than critical buckling length and hence fails due to buckling.
Short column: The length is less than the critical buckling length and it fails by shearing.

What is the difference between Columns and Struts?

The Strut is mainly used in roof trusses and steel bridges. The main purpose of a strut is to maintain the rigidity of the structure and to take compressive force and is not designed to take any gravity load, but
the column is designed for various types of loads acting on it such as axial load bending moment gravity load shear forces buckling and horizontal load like earthquake load and wind load.
Both Column and Strut are comprehensive members but the main difference between them is column is a comprehensive member of the frame structure and the strut is a comprehensive member of the truss structure.

How to Calculate Bearing Pressure given Plate Thickness?

Bearing Pressure given Plate Thickness calculator uses Actual Bearing Pressure = (Minimum Plate Thickness/(2*Limiting Size))^2*Yield Stress of Steel to calculate 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 calculate Bearing Pressure given Plate Thickness using this online calculator? To use this online calculator 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. Here is how the Bearing Pressure given Plate Thickness calculation can be explained with given input values -> 4E-5 = (0.016/(2*0.04))^2*250000000.

FAQ

What is Bearing Pressure given Plate Thickness?

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 and is represented as f_p = (t/(2*p))^2*F_y or Actual Bearing Pressure = (Minimum Plate Thickness/(2*Limiting Size))^2*Yield Stress of Steel. 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, 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 & 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.

How to calculate Bearing Pressure given Plate Thickness?

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 is calculated using Actual Bearing Pressure = (Minimum Plate Thickness/(2*Limiting Size))^2*Yield Stress of Steel. To calculate Bearing Pressure given Plate Thickness, you need Minimum Plate Thickness (t), Limiting Size (p) & Yield Stress of Steel (F_y). With our tool, you need to enter the respective value for Minimum Plate Thickness, Limiting Size & Yield Stress of Steel 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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