Minimum Width of Plate 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%
✖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%
✖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%
✖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%

✖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.ⓘ Minimum Width of Plate given Plate Thickness [B]

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Minimum Width of Plate given Plate Thickness Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Minimum Plate Thickness: 16 Millimeter --> 0.016 Meter (Check conversion here)
Allowable Bending Stress: 3 Megapascal --> 3000000 Pascal (Check conversion here)
Actual Bearing Pressure: 10 Megapascal --> 10000000 Pascal (Check conversion here)
Distance from Beam Bottom to Web Fillet: 70 Millimeter --> 0.07 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B = 2*t*sqrt(F_b/(3*f_p))+2*k --> 2*0.016*sqrt(3000000/(3*10000000))+2*0.07

Evaluating ... ...

B = 0.150119288512539

STEP 3: Convert Result to Output's Unit

0.150119288512539 Meter -->150.119288512539 Millimeter (Check conversion here)

FINAL ANSWER

150.119288512539 ≈ 150.1193 Millimeter <-- Width of Plate

(Calculation completed in 00.004 seconds)

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NSS College of Engineering (NSSCE), Palakkad

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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

Minimum Width of Plate given Plate Thickness Formula

LaTeX Go

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

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 Minimum Width of Plate given Plate Thickness?

Minimum Width of Plate given Plate Thickness calculator 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 calculate 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 calculate Minimum Width of Plate given Plate Thickness using this online calculator? To use this online calculator 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. Here is how the Minimum Width of Plate given Plate Thickness calculation can be explained with given input values -> 142862.2 = 2*0.016*sqrt(3000000/(3*10000000))+2*0.07.

FAQ

What is Minimum Width of Plate given Plate Thickness?

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

How to calculate Minimum Width of Plate given Plate Thickness?

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

In this formula, Width of Plate uses Minimum Plate Thickness, Allowable Bending Stress, Actual Bearing Pressure & Distance from Beam Bottom to Web Fillet. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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