Bearing Plate Area for Less than Full Concrete Area 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%
✖Specified Compressive Strength of Concrete is the capacity of concrete to withstand applied loads on its surface without exhibiting cracks or deformations.ⓘ Specified Compressive Strength of Concrete [f_c']			+10% -10%
✖Full Cross Sectional Area of Concrete Support is the whole area of cross section of concrete which is allowed for supporting the bearing plate or any other structure.ⓘ Full Cross Sectional Area of Concrete Support [A₂]			+10% -10%

✖Area required by Bearing Plate is the space occupied by the bearing plate on concrete.ⓘ Bearing Plate Area for Less than Full Concrete Area [A₁]

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Formula

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Bearing Plate Area for Less than Full Concrete Area

Formula

A 1 = {(\frac{R}{0.35 \cdot f c' \cdot \sqrt{A 2}})}^{2}

Example

23959.2 mm² = {(\frac{235 kN}{0.35 \cdot 28 MPa \cdot \sqrt{24000 mm²}})}^{2}

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Bearing Plate Area for Less than Full Concrete Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
A₁ = (R/(0.35*f_c'*sqrt(A₂)))^2
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

Area required by Bearing Plate - (Measured in Square Meter) - Area required by Bearing Plate is the space occupied by the bearing plate on concrete.
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.
Specified Compressive Strength of Concrete - (Measured in Pascal) - Specified Compressive Strength of Concrete is the capacity of concrete to withstand applied loads on its surface without exhibiting cracks or deformations.
Full Cross Sectional Area of Concrete Support - (Measured in Square Meter) - Full Cross Sectional Area of Concrete Support is the whole area of cross section of concrete which is allowed for supporting the bearing plate or any other structure.

STEP 1: Convert Input(s) to Base Unit

Concentrated Load of Reaction: 235 Kilonewton --> 235000 Newton (Check conversion here)
Specified Compressive Strength of Concrete: 28 Megapascal --> 28000000 Pascal (Check conversion here)
Full Cross Sectional Area of Concrete Support: 24000 Square Millimeter --> 0.024 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A₁ = (R/(0.35*f_c'*sqrt(A₂)))^2 --> (235000/(0.35*28000000*sqrt(0.024)))^2

Evaluating ... ...

A₁ = 0.0239592010273497

STEP 3: Convert Result to Output's Unit

0.0239592010273497 Square Meter -->23959.2010273497 Square Millimeter (Check conversion here)

FINAL ANSWER

23959.2010273497 ≈ 23959.2 Square Millimeter <-- Area required by Bearing Plate

(Calculation completed in 00.004 seconds)

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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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< Bearing Plates Calculators

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

Actual Bearing Pressure under Plate

Go Actual Bearing Pressure = Concentrated Load of Reaction/(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

Bearing Plate Area for Less than Full Concrete Area Formula

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 Bearing Plate Area for Less than Full Concrete Area?

Bearing Plate Area for Less than Full Concrete Area calculator uses 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 to calculate the Area required by Bearing Plate, The Bearing Plate Area for Less than Full Concrete Area formula is defined as the area of the bearing plate when the whole area of concrete is not used for support. Area required by Bearing Plate is denoted by A₁ symbol.

How to calculate Bearing Plate Area for Less than Full Concrete Area using this online calculator? To use this online calculator for Bearing Plate Area for Less than Full Concrete Area, enter Concentrated Load of Reaction (R), Specified Compressive Strength of Concrete (f_c') & Full Cross Sectional Area of Concrete Support (A₂) and hit the calculate button. Here is how the Bearing Plate Area for Less than Full Concrete Area calculation can be explained with given input values -> 2.4E+10 = (235000/(0.35*28000000*sqrt(0.024)))^2.

FAQ

What is Bearing Plate Area for Less than Full Concrete Area?

The Bearing Plate Area for Less than Full Concrete Area formula is defined as the area of the bearing plate when the whole area of concrete is not used for support and is represented as A₁ = (R/(0.35*f_c'*sqrt(A₂)))^2 or 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. Concentrated Load of Reaction is the reaction force that is assumed to act at a single point on the structure, Specified Compressive Strength of Concrete is the capacity of concrete to withstand applied loads on its surface without exhibiting cracks or deformations & Full Cross Sectional Area of Concrete Support is the whole area of cross section of concrete which is allowed for supporting the bearing plate or any other structure.

How to calculate Bearing Plate Area for Less than Full Concrete Area?

The Bearing Plate Area for Less than Full Concrete Area formula is defined as the area of the bearing plate when the whole area of concrete is not used for support is calculated using 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. To calculate Bearing Plate Area for Less than Full Concrete Area, you need Concentrated Load of Reaction (R), Specified Compressive Strength of Concrete (f_c') & Full Cross Sectional Area of Concrete Support (A₂). With our tool, you need to enter the respective value for Concentrated Load of Reaction, Specified Compressive Strength of Concrete & Full Cross Sectional Area of Concrete Support 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 Area required by Bearing Plate?

In this formula, Area required by Bearing Plate uses Concentrated Load of Reaction, Specified Compressive Strength of Concrete & Full Cross Sectional Area of Concrete Support. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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