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

✖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%
✖Area required by Bearing Plate is the space occupied by the bearing plate on concrete.ⓘ Area required by Bearing Plate [A₁]			+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%

✖Allowable Bearing Stress is the maximum bearing stress that can be applied to a material or a structural element without causing failure.ⓘ Allowable Bearing Stress on Concrete when Less than Full Area Used for Support [F_p]

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Formula

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

Formula

`"F"_{"p"} = 0.35*"f"_{"c'"}*sqrt("A"_{"1"}/"A"_{"2"})`

Example

`"9.795916MPa"=0.35*"28MPa"*sqrt("23980mm²"/"24000mm²")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Allowable Bearing Stress = 0.35*Specified Compressive Strength of Concrete*sqrt(Area required by Bearing Plate/Full Cross Sectional Area of Concrete Support)
F_p = 0.35*f_c'*sqrt(A₁/A₂)
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

Allowable Bearing Stress - (Measured in Pascal) - Allowable Bearing Stress is the maximum bearing stress that can be applied to a material or a structural element without causing failure.
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.
Area required by Bearing Plate - (Measured in Square Meter) - Area required by Bearing Plate is the space occupied by the bearing plate on concrete.
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

Specified Compressive Strength of Concrete: 28 Megapascal --> 28000000 Pascal (Check conversion here)
Area required by Bearing Plate: 23980 Square Millimeter --> 0.02398 Square Meter (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

F_p = 0.35*f_c'*sqrt(A₁/A₂) --> 0.35*28000000*sqrt(0.02398/0.024)

Evaluating ... ...

F_p = 9795915.81561758

STEP 3: Convert Result to Output's Unit

9795915.81561758 Pascal -->9.79591581561758 Megapascal (Check conversion here)

FINAL ANSWER

9.79591581561758 ≈ 9.795916 Megapascal <-- Allowable Bearing Stress

(Calculation completed in 00.008 seconds)

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Home » Engineering » Civil » Design of Steel Structures » Base and Bearing Plates » Bearing Plates » Allowable Bearing Stress on Concrete when Less than Full Area Used for Support

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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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< 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

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

Allowable Bearing Stress = 0.35*Specified Compressive Strength of Concrete*sqrt(Area required by Bearing Plate/Full Cross Sectional Area of Concrete Support)
F_p = 0.35*f_c'*sqrt(A₁/A₂)

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

Allowable Bearing Stress on Concrete when Less than Full Area Used for Support calculator uses Allowable Bearing Stress = 0.35*Specified Compressive Strength of Concrete*sqrt(Area required by Bearing Plate/Full Cross Sectional Area of Concrete Support) to calculate the Allowable Bearing Stress, The Allowable Bearing Stress on Concrete when Less Than Full Area Used for Support formula is defined as the relation between the parameter compressive strength and area of both bearing plate and concrete support. Allowable Bearing Stress is denoted by F_p symbol.

How to calculate Allowable Bearing Stress on Concrete when Less than Full Area Used for Support using this online calculator? To use this online calculator for Allowable Bearing Stress on Concrete when Less than Full Area Used for Support, enter Specified Compressive Strength of Concrete (f_c'), Area required by Bearing Plate (A₁) & Full Cross Sectional Area of Concrete Support (A₂) and hit the calculate button. Here is how the Allowable Bearing Stress on Concrete when Less than Full Area Used for Support calculation can be explained with given input values -> 9.8E-6 = 0.35*28000000*sqrt(0.02398/0.024).

FAQ

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

The Allowable Bearing Stress on Concrete when Less Than Full Area Used for Support formula is defined as the relation between the parameter compressive strength and area of both bearing plate and concrete support and is represented as F_p = 0.35*f_c'*sqrt(A₁/A₂) or Allowable Bearing Stress = 0.35*Specified Compressive Strength of Concrete*sqrt(Area required by Bearing Plate/Full Cross Sectional Area of Concrete Support). Specified Compressive Strength of Concrete is the capacity of concrete to withstand applied loads on its surface without exhibiting cracks or deformations, Area required by Bearing Plate is the space occupied by the bearing plate on concrete & 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 Allowable Bearing Stress on Concrete when Less than Full Area Used for Support?

The Allowable Bearing Stress on Concrete when Less Than Full Area Used for Support formula is defined as the relation between the parameter compressive strength and area of both bearing plate and concrete support is calculated using Allowable Bearing Stress = 0.35*Specified Compressive Strength of Concrete*sqrt(Area required by Bearing Plate/Full Cross Sectional Area of Concrete Support). To calculate Allowable Bearing Stress on Concrete when Less than Full Area Used for Support, you need Specified Compressive Strength of Concrete (f_c'), Area required by Bearing Plate (A₁) & Full Cross Sectional Area of Concrete Support (A₂). With our tool, you need to enter the respective value for Specified Compressive Strength of Concrete, Area required by Bearing Plate & 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 Allowable Bearing Stress?

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

Allowable Bearing Stress = 0.35*Specified Compressive Strength of Concrete

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