Beam Reaction given Actual Bearing Pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Concentrated Load of Reaction = Actual Bearing Pressure*Width of Plate*Bearing or Plate Length
R = fp*B*N
This formula uses 4 Variables
Variables Used
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.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Actual Bearing Pressure: 10 Megapascal --> 10000000 Pascal (Check conversion here)
Width of Plate: 150 Millimeter --> 0.15 Meter (Check conversion here)
Bearing or Plate Length: 160 Millimeter --> 0.16 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = fp*B*N --> 10000000*0.15*0.16
Evaluating ... ...
R = 240000
STEP 3: Convert Result to Output's Unit
240000 Newton -->240 Kilonewton (Check conversion here)
FINAL ANSWER
240 Kilonewton <-- Concentrated Load of Reaction
(Calculation completed in 00.004 seconds)

Credits

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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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

Beam Reaction given Actual Bearing Pressure Formula

Concentrated Load of Reaction = Actual Bearing Pressure*Width of Plate*Bearing or Plate Length
R = fp*B*N

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 Beam Reaction given Actual Bearing Pressure?

Beam Reaction given Actual Bearing Pressure calculator uses Concentrated Load of Reaction = Actual Bearing Pressure*Width of Plate*Bearing or Plate Length to calculate the Concentrated Load of Reaction, The Beam Reaction given Actual Bearing Pressure formula is defined as the reaction from the beam when the bearing plate is fixed over the beam section. Concentrated Load of Reaction is denoted by R symbol.

How to calculate Beam Reaction given Actual Bearing Pressure using this online calculator? To use this online calculator for Beam Reaction given Actual Bearing Pressure, enter Actual Bearing Pressure (fp), Width of Plate (B) & Bearing or Plate Length (N) and hit the calculate button. Here is how the Beam Reaction given Actual Bearing Pressure calculation can be explained with given input values -> 3 = 10000000*0.15*0.16.

FAQ

What is Beam Reaction given Actual Bearing Pressure?
The Beam Reaction given Actual Bearing Pressure formula is defined as the reaction from the beam when the bearing plate is fixed over the beam section and is represented as R = fp*B*N or Concentrated Load of Reaction = Actual Bearing Pressure*Width of Plate*Bearing or Plate Length. 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, 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 & 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.
How to calculate Beam Reaction given Actual Bearing Pressure?
The Beam Reaction given Actual Bearing Pressure formula is defined as the reaction from the beam when the bearing plate is fixed over the beam section is calculated using Concentrated Load of Reaction = Actual Bearing Pressure*Width of Plate*Bearing or Plate Length. To calculate Beam Reaction given Actual Bearing Pressure, you need Actual Bearing Pressure (fp), Width of Plate (B) & Bearing or Plate Length (N). With our tool, you need to enter the respective value for Actual Bearing Pressure, Width of Plate & Bearing or Plate Length 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 Concentrated Load of Reaction?
In this formula, Concentrated Load of Reaction uses Actual Bearing Pressure, Width of Plate & Bearing or Plate Length. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Concentrated Load of Reaction = Area required by Bearing Plate*0.35*Specified Compressive Strength of Concrete
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