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Bearing Plate Area for Less than Full Concrete Area Formula

GoBearing Plate Area for Full Concrete Area Support Formula

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Area required by Bearing Plate is the space occupied by the bearing plate on concrete. Check FAQs

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

A₁ - Area required by Bearing Plate?R - Concentrated Load of Reaction?f_c' - Specified Compressive Strength of Concrete?A₂ - Full Cross Sectional Area of Concrete Support?

Bearing Plate Area for Less than Full Concrete Area Example

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Here is how the Bearing Plate Area for Less than Full Concrete Area equation looks like with Values.

Here is how the Bearing Plate Area for Less than Full Concrete Area equation looks like with Units.

Here is how the Bearing Plate Area for Less than Full Concrete Area equation looks like.

23959.201 = {(\frac{235}{0.35 \cdot 28 \cdot \sqrt{24000}})}^{2}

23959.201mm² = {(\frac{235kN}{0.35 \cdot 28MPa \cdot \sqrt{24000mm²}})}^{2}

23959.201 = {(\frac{235}{0.35 \cdot 28 \cdot \sqrt{24000}})}^{2}

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Bearing Plate Area for Less than Full Concrete Area Solution

Follow our step by step solution on how to calculate Bearing Plate Area for Less than Full Concrete Area?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A 1 = {(\frac{235kN}{0.35 \cdot 28MPa \cdot \sqrt{24000mm²}})}^{2}

Next Step Convert Units

∴

A 1 = {(\frac{235000N}{0.35 \cdot 2.8E+7Pa \cdot \sqrt{0.024m²}})}^{2}

Next Step Prepare to Evaluate

∴

A 1 = {(\frac{235000}{0.35 \cdot 2.8E+7 \cdot \sqrt{0.024}})}^{2}

Next Step Evaluate

∴

A 1 = 0.0239592010273497m²

Next Step Convert to Output's Unit

∴

A 1 = 23959.2010273497mm²

LAST Step Rounding Answer

∴

A 1 = 23959.201mm²

Bearing Plate Area for Less than Full Concrete Area Formula Elements

Variables

Functions

Area required by Bearing Plate

Area required by Bearing Plate is the space occupied by the bearing plate on concrete.

Symbol: A₁

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area required by Bearing Plate

Concentrated Load of Reaction

Concentrated Load of Reaction is the reaction force that is assumed to act at a single point on the structure.

Symbol: R

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Concentrated Load of Reaction

Specified Compressive Strength of Concrete

Specified Compressive Strength of Concrete is the capacity of concrete to withstand applied loads on its surface without exhibiting cracks or deformations.

Symbol: f_c'

Measurement: StressUnit: MPa

Note: Value should be between 17 to 70.

Formulas to find Specified Compressive Strength of Concrete

Full Cross Sectional Area of Concrete Support

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.

Symbol: A₂

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Full Cross Sectional Area of Concrete Support

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.

Syntax: sqrt(Number)

Other Formulas to find Area required by Bearing Plate

Go Bearing Plate Area for Full Concrete Area Support

A 1 = \frac{R}{0.35 \cdot f c'}

Other formulas in Bearing Plates category

Go Beam Reaction given Area Required by Bearing Plate

R = A 1 \cdot 0.35 \cdot f c'

Go Actual Bearing Pressure under Plate

f p = \frac{R}{B \cdot N}

Go Minimum Bearing Length of Plate using Actual Bearing Pressure

N = \frac{R}{B \cdot f p}

Go Minimum Width of Plate using Actual Bearing Pressure

B = \frac{R}{f p \cdot N}

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

Bearing Plate Area for Less than Full Concrete Area evaluator 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 evaluate 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 evaluate Bearing Plate Area for Less than Full Concrete Area using this online evaluator? To use this online evaluator 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.

FAQs on Bearing Plate Area for Less than Full Concrete Area

What is the formula to find Bearing Plate Area for Less than Full Concrete Area?

The formula of Bearing Plate Area for Less than Full Concrete Area is expressed as 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. Here is an example- 2.4E+10 = (235000/(0.35*28000000*sqrt(0.024)))^2.

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

With Concentrated Load of Reaction (R), Specified Compressive Strength of Concrete (f_c') & Full Cross Sectional Area of Concrete Support (A₂) we can find Bearing Plate Area for Less than Full Concrete Area using the formula - 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. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Area required by Bearing Plate?

Here are the different ways to Calculate Area required by Bearing Plate-

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

Can the Bearing Plate Area for Less than Full Concrete Area be negative?

No, the Bearing Plate Area for Less than Full Concrete Area, measured in Area cannot be negative.

Which unit is used to measure Bearing Plate Area for Less than Full Concrete Area?

Bearing Plate Area for Less than Full Concrete Area is usually measured using the Square Millimeter[mm²] for Area. Square Meter[mm²], Square Kilometer[mm²], Square Centimeter[mm²] are the few other units in which Bearing Plate Area for Less than Full Concrete Area can be measured.

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Bearing Plate Area for Less than Full Concrete Area Formula

​GoBearing Plate Area for Full Concrete Area Support Formula

Bearing Plate Area for Less than Full Concrete Area Example

Bearing Plate Area for Less than Full Concrete Area Solution

Bearing Plate Area for Less than Full Concrete Area Formula Elements

Other Formulas to find Area required by Bearing Plate

Other formulas in Bearing Plates category

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

FAQs on Bearing Plate Area for Less than Full Concrete Area

Variable Name

GoBearing Plate Area for Full Concrete Area Support Formula