Thickness of Plate Calculator

✖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%
✖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.ⓘ Actual Bearing Pressure [f_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%

✖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.ⓘ Thickness of Plate [t]

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Formula

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Thickness of Plate

Formula

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

Example

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

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Thickness of Plate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Minimum Plate Thickness = 2*Limiting Size*sqrt(Actual Bearing Pressure/Yield Stress of Steel)
t = 2*p*sqrt(f_p/F_y)
This formula uses 1 Functions, 4 Variables

Functions Used

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., sqrt(Number)

Variables Used

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.
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.
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

Limiting Size: 40 Millimeter --> 0.04 Meter (Check conversion here)
Actual Bearing Pressure: 10 Megapascal --> 10000000 Pascal (Check conversion here)
Yield Stress of Steel: 250 Megapascal --> 250000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = 2*p*sqrt(f_p/F_y) --> 2*0.04*sqrt(10000000/250000000)

Evaluating ... ...

t = 0.016

STEP 3: Convert Result to Output's Unit

0.016 Meter -->16 Millimeter (Check conversion here)

FINAL ANSWER

16 Millimeter <-- Minimum Plate Thickness

(Calculation completed in 00.020 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Ishita Goyal

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

Thickness of Plate Formula

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

Thickness of Plate calculator uses Minimum Plate Thickness = 2*Limiting Size*sqrt(Actual Bearing Pressure/Yield Stress of Steel) to calculate the Minimum Plate Thickness, The Thickness of Plate formula is defined as the parameters, width of plate and column, depth of column, length of plate, yield stress and bearing pressure. Minimum Plate Thickness is denoted by t symbol.

How to calculate Thickness of Plate using this online calculator? To use this online calculator for Thickness of Plate, enter Limiting Size (p), Actual Bearing Pressure (f_p) & Yield Stress of Steel (F_y) and hit the calculate button. Here is how the Thickness of Plate calculation can be explained with given input values -> 8000 = 2*0.04*sqrt(10000000/250000000).

FAQ

What is Thickness of Plate?

The Thickness of Plate formula is defined as the parameters, width of plate and column, depth of column, length of plate, yield stress and bearing pressure and is represented as t = 2*p*sqrt(f_p/F_y) or Minimum Plate Thickness = 2*Limiting Size*sqrt(Actual Bearing Pressure/Yield Stress of Steel). 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, 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 & 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 Thickness of Plate?

The Thickness of Plate formula is defined as the parameters, width of plate and column, depth of column, length of plate, yield stress and bearing pressure is calculated using Minimum Plate Thickness = 2*Limiting Size*sqrt(Actual Bearing Pressure/Yield Stress of Steel). To calculate Thickness of Plate, you need Limiting Size (p), Actual Bearing Pressure (f_p) & Yield Stress of Steel (F_y). With our tool, you need to enter the respective value for Limiting Size, Actual Bearing Pressure & 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.

How many ways are there to calculate Minimum Plate Thickness?

In this formula, Minimum Plate Thickness uses Limiting Size, Actual Bearing Pressure & Yield Stress of Steel. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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