Minimum Bearing Length of Plate using Actual Bearing Pressure Calculator

✖Concentrated Load of Reaction is the reaction force that is assumed to act at a single point on the structure.ⓘ Concentrated Load of Reaction [R]			+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.ⓘ Width of Plate [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%

✖Bearing or Plate Length is the length along the beam under which a high concentration of stresses due to concentrated loads is transferred to the supporting structure below.ⓘ Minimum Bearing Length of Plate using Actual Bearing Pressure [N]

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Formula

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Minimum Bearing Length of Plate using Actual Bearing Pressure

Formula

`"N" = "R"/("B"*"f"_{"p"})`

Example

`"156.6667mm"="235kN"/("150mm"*"10MPa")`

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Minimum Bearing Length of Plate using Actual Bearing Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bearing or Plate Length = Concentrated Load of Reaction/(Width of Plate*Actual Bearing Pressure)
N = R/(B*f_p)
This formula uses 4 Variables

Variables Used

Bearing or Plate Length - (Measured in Meter) - Bearing or Plate Length is the length along the beam under which a high concentration of stresses due to concentrated loads is transferred to the supporting structure below.
Concentrated Load of Reaction - (Measured in Newton) - Concentrated Load of Reaction is the reaction force that is assumed to act at a single point on the structure.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Concentrated Load of Reaction: 235 Kilonewton --> 235000 Newton (Check conversion here)
Width of Plate: 150 Millimeter --> 0.15 Meter (Check conversion here)
Actual Bearing Pressure: 10 Megapascal --> 10000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = R/(B*f_p) --> 235000/(0.15*10000000)

Evaluating ... ...

N = 0.156666666666667

STEP 3: Convert Result to Output's Unit

0.156666666666667 Meter -->156.666666666667 Millimeter (Check conversion here)

FINAL ANSWER

156.666666666667 ≈ 156.6667 Millimeter <-- Bearing or Plate Length

(Calculation completed in 00.004 seconds)

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NSS College of Engineering (NSSCE), Palakkad

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< 12 Bearing Plates Calculators

Allowable Bending Stress given Plate Thickness

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

Plate Thickness

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

Minimum Width of Plate given Plate Thickness

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

Bearing Plate Area for Less than Full Concrete Area

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

Allowable Bearing Stress on Concrete when Less than Full Area Used for Support

Go Allowable Bearing Stress = 0.35*Specified Compressive Strength of Concrete*sqrt(Area required by Bearing Plate/Full Cross Sectional Area of Concrete Support)

Minimum Bearing Length of Plate using Actual Bearing Pressure

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

Minimum Width of Plate using Actual Bearing Pressure

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

Actual Bearing Pressure under Plate

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

Beam Reaction given Actual Bearing Pressure

Go Concentrated Load of Reaction = Actual Bearing Pressure*Width of Plate*Bearing or Plate Length

Bearing Plate Area for Full Concrete Area Support

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

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

Allowable Bearing Stress on Concrete when Full Area is used for Support

Go Allowable Bearing Stress = 0.35*Specified Compressive Strength of Concrete

Minimum Bearing Length of Plate using Actual Bearing Pressure Formula

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

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 Bearing Length of Plate using Actual Bearing Pressure?

Minimum Bearing Length of Plate using Actual Bearing Pressure calculator uses Bearing or Plate Length = Concentrated Load of Reaction/(Width of Plate*Actual Bearing Pressure) to calculate the Bearing or Plate Length, The Minimum Bearing Length of Plate using Actual Bearing Pressure formula is defined as the beam reaction and actual bearing pressure. The length of the bearing plate is inversely proportional to the width of the plate. Bearing or Plate Length is denoted by N symbol.

How to calculate Minimum Bearing Length of Plate using Actual Bearing Pressure using this online calculator? To use this online calculator for Minimum Bearing Length of Plate using Actual Bearing Pressure, enter Concentrated Load of Reaction (R), Width of Plate (B) & Actual Bearing Pressure (f_p) and hit the calculate button. Here is how the Minimum Bearing Length of Plate using Actual Bearing Pressure calculation can be explained with given input values -> 12533.33 = 235000/(0.15*10000000).

FAQ

What is Minimum Bearing Length of Plate using Actual Bearing Pressure?

The Minimum Bearing Length of Plate using Actual Bearing Pressure formula is defined as the beam reaction and actual bearing pressure. The length of the bearing plate is inversely proportional to the width of the plate and is represented as N = R/(B*f_p) or Bearing or Plate Length = Concentrated Load of Reaction/(Width of Plate*Actual Bearing Pressure). Concentrated Load of Reaction is the reaction force that is assumed to act at a single point on the structure, 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 & 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.

How to calculate Minimum Bearing Length of Plate using Actual Bearing Pressure?

The Minimum Bearing Length of Plate using Actual Bearing Pressure formula is defined as the beam reaction and actual bearing pressure. The length of the bearing plate is inversely proportional to the width of the plate is calculated using Bearing or Plate Length = Concentrated Load of Reaction/(Width of Plate*Actual Bearing Pressure). To calculate Minimum Bearing Length of Plate using Actual Bearing Pressure, you need Concentrated Load of Reaction (R), Width of Plate (B) & Actual Bearing Pressure (f_p). With our tool, you need to enter the respective value for Concentrated Load of Reaction, Width of Plate & Actual Bearing Pressure 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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