Plate Thickness Calculator

✖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.ⓘ Width of Plate [B]			+10% -10%
✖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.ⓘ Distance from Beam Bottom to Web Fillet [k]			+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%
✖Allowable Bending Stress is the maximum bending stress that can be applied to a material or a structural element without causing failure.ⓘ Allowable Bending Stress [F_b]			+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.ⓘ Plate Thickness [t]

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Plate Thickness Solution

STEP 0: Pre-Calculation Summary

Formula Used

Minimum Plate Thickness = ((1/2)*Width of Plate-Distance from Beam Bottom to Web Fillet)*sqrt(3*Actual Bearing Pressure/Allowable Bending Stress)
t = ((1/2)*B-k)*sqrt(3*f_p/F_b)
This formula uses 1 Functions, 5 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.
Width of Plate - (Measured in Meter) - 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.
Distance from Beam Bottom to Web Fillet - (Measured in Meter) - 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.
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.
Allowable Bending Stress - (Measured in Pascal) - Allowable Bending Stress is the maximum bending stress that can be applied to a material or a structural element without causing failure.

STEP 1: Convert Input(s) to Base Unit

Width of Plate: 150 Millimeter --> 0.15 Meter (Check conversion here)
Distance from Beam Bottom to Web Fillet: 70 Millimeter --> 0.07 Meter (Check conversion here)
Actual Bearing Pressure: 10 Megapascal --> 10000000 Pascal (Check conversion here)
Allowable Bending Stress: 3 Megapascal --> 3000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = ((1/2)*B-k)*sqrt(3*f_p/F_b) --> ((1/2)*0.15-0.07)*sqrt(3*10000000/3000000)

Evaluating ... ...

t = 0.0158113883008419

STEP 3: Convert Result to Output's Unit

0.0158113883008419 Meter -->15.8113883008419 Millimeter (Check conversion here)

FINAL ANSWER

15.8113883008419 ≈ 15.81139 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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< Bearing Plates Calculators

Bearing Plate Area for Less than Full Concrete Area

LaTeX Go Area required by Bearing Plate = (Concentrated Load of Reaction/(0.35*Specified Compressive Strength of Concrete*sqrt(Full Cross Sectional Area of Concrete Support)))^2

Actual Bearing Pressure under Plate

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

Bearing Plate Area for Full Concrete Area Support

LaTeX Go Area required by Bearing Plate = Concentrated Load of Reaction/(0.35*Specified Compressive Strength of Concrete)

Beam Reaction given Area Required by Bearing Plate

LaTeX Go Concentrated Load of Reaction = Area required by Bearing Plate*0.35*Specified Compressive Strength of Concrete

Plate Thickness Formula

LaTeX Go

Minimum Plate Thickness = ((1/2)*Width of Plate-Distance from Beam Bottom to Web Fillet)*sqrt(3*Actual Bearing Pressure/Allowable Bending Stress)
t = ((1/2)*B-k)*sqrt(3*f_p/F_b)

What are Bearing Plates and its advantages?

It is a plate placed under one end of a truss beam, girder, or column to distribute the load. They are used to transfer concentrated compressive forces between two structural elements. Typically, this occurs in two conditions: When a beam or column is supported by concrete or masonry, or. When a beam support is large, concentrated load from a supported element, such as a column.
The advantages of Bearing Plates are as follows:
1. They distribute the loads to a wider area.
2. They carry the loads or movement in both vertical and horizontal directions.
3. They reduce the deflection and also the impact loading if any.
4. They will be mostly flexible and adaptable.

What is Bearing Stress & different types of Bearing Plates?

The Bearing Stress is the contact pressure between the separate bodies. It differs from compressive stress, as it is an internal stress caused by compressive forces. Allowable Bearing Stress is a value based on an arbitrary amount of deformation of a body subjected to a bearing pressure.
The different types of Bearing Plates are as follows:
1. Sliding bearings.
2. Rocker and pin bearings.
3. Roller bearings.
4. Elastomeric bearings.
5. Curved bearings.
6. Disk bearings.

How to Calculate Plate Thickness?

Plate Thickness calculator 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 calculate 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 calculate Plate Thickness using this online calculator? To use this online calculator 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. Here is how the Plate Thickness calculation can be explained with given input values -> 55901.7 = ((1/2)*0.15-0.07)*sqrt(3*10000000/3000000).

FAQ

What is 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 and is represented as t = ((1/2)*B-k)*sqrt(3*f_p/F_b) or Minimum Plate Thickness = ((1/2)*Width of Plate-Distance from Beam Bottom to Web Fillet)*sqrt(3*Actual Bearing Pressure/Allowable Bending Stress). 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, 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, 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 & Allowable Bending Stress is the maximum bending stress that can be applied to a material or a structural element without causing failure.

How to calculate 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 is calculated using Minimum Plate Thickness = ((1/2)*Width of Plate-Distance from Beam Bottom to Web Fillet)*sqrt(3*Actual Bearing Pressure/Allowable Bending Stress). To calculate Plate Thickness, you need Width of Plate (B), Distance from Beam Bottom to Web Fillet (k), Actual Bearing Pressure (f_p) & Allowable Bending Stress (F_b). With our tool, you need to enter the respective value for Width of Plate, Distance from Beam Bottom to Web Fillet, Actual Bearing Pressure & Allowable Bending Stress 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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