Allowable Bending Stress given Plate Thickness Calculator

✖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%
✖Distance from Beam Bottom to Web Fillet is the distance from the outer face of the flange (the bottom of the beam) to the web toe of the fillet.ⓘ Distance from Beam Bottom to Web Fillet [k]			+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%
✖Minimum Plate Thickness is the distance between the top and bottom surfaces of a flat, solid plate. This distance is typically measured in millimeters or inches.ⓘ Minimum Plate Thickness [t]			+10% -10%

✖Allowable Bending Stress is the maximum bending stress that can be applied to a material or a structural element without causing failure.ⓘ Allowable Bending Stress given Plate Thickness [F_b]

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Allowable Bending Stress given Plate Thickness Solution

STEP 0: Pre-Calculation Summary

Formula Used

Allowable Bending Stress = ((((1/2)*Width of Plate-Distance from Beam Bottom to Web Fillet)*sqrt(3*Actual Bearing Pressure))/Minimum Plate Thickness)^2
F_b = ((((1/2)*B-k)*sqrt(3*f_p))/t)^2
This formula uses 1 Functions, 5 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 Bending Stress - (Measured in Pascal) - Allowable Bending Stress is the maximum bending stress that can be applied to a material or a structural element without causing failure.
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.
Distance from Beam Bottom to Web Fillet - (Measured in Meter) - Distance from Beam Bottom to Web Fillet is the distance from the outer face of the flange (the bottom of the beam) to the web toe of the fillet.
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.
Minimum Plate Thickness - (Measured in Meter) - Minimum Plate Thickness is the distance between the top and bottom surfaces of a flat, solid plate. This distance is typically measured in millimeters or inches.

STEP 1: Convert Input(s) to Base Unit

Width of Plate: 150 Millimeter --> 0.15 Meter (Check conversion here)
Distance from Beam Bottom to Web Fillet: 70 Millimeter --> 0.07 Meter (Check conversion here)
Actual Bearing Pressure: 10 Megapascal --> 10000000 Pascal (Check conversion here)
Minimum Plate Thickness: 16 Millimeter --> 0.016 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_b = ((((1/2)*B-k)*sqrt(3*f_p))/t)^2 --> ((((1/2)*0.15-0.07)*sqrt(3*10000000))/0.016)^2

Evaluating ... ...

F_b = 2929687.49999999

STEP 3: Convert Result to Output's Unit

2929687.49999999 Pascal -->2.92968749999999 Megapascal (Check conversion here)

FINAL ANSWER

2.92968749999999 ≈ 2.929687 Megapascal <-- Allowable Bending Stress

(Calculation completed in 00.007 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

LaTeX 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

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

Bearing Plate Area for Full Concrete Area Support

LaTeX 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

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

Allowable Bending Stress given Plate Thickness Formula

LaTeX 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
F_b = ((((1/2)*B-k)*sqrt(3*f_p))/t)^2

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 Bending Stress given Plate Thickness?

Allowable Bending Stress given Plate Thickness calculator uses Allowable Bending Stress = ((((1/2)*Width of Plate-Distance from Beam Bottom to Web Fillet)*sqrt(3*Actual Bearing Pressure))/Minimum Plate Thickness)^2 to calculate the Allowable Bending Stress, The Allowable Bending Stress given Plate Thickness formula is defined as the relationship between actual bearing pressure and the width and thickness of the plate. Allowable Bending Stress is denoted by F_b symbol.

How to calculate Allowable Bending Stress given Plate Thickness using this online calculator? To use this online calculator for Allowable Bending Stress given Plate Thickness, enter Width of Plate (B), Distance from Beam Bottom to Web Fillet (k), Actual Bearing Pressure (f_p) & Minimum Plate Thickness (t) and hit the calculate button. Here is how the Allowable Bending Stress given Plate Thickness calculation can be explained with given input values -> 3.7E-5 = ((((1/2)*0.15-0.07)*sqrt(3*10000000))/0.016)^2.

FAQ

What is Allowable Bending Stress given Plate Thickness?

The Allowable Bending Stress given Plate Thickness formula is defined as the relationship between actual bearing pressure and the width and thickness of the plate and is represented as F_b = ((((1/2)*B-k)*sqrt(3*f_p))/t)^2 or Allowable Bending Stress = ((((1/2)*Width of Plate-Distance from Beam Bottom to Web Fillet)*sqrt(3*Actual Bearing Pressure))/Minimum Plate Thickness)^2. 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, Distance from Beam Bottom to Web Fillet is the distance from the outer face of the flange (the bottom of the beam) to the web toe of the fillet, 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 & Minimum Plate Thickness is the distance between the top and bottom surfaces of a flat, solid plate. This distance is typically measured in millimeters or inches.

How to calculate Allowable Bending Stress given Plate Thickness?

The Allowable Bending Stress given Plate Thickness formula is defined as the relationship between actual bearing pressure and the width and thickness of the plate is calculated using Allowable Bending Stress = ((((1/2)*Width of Plate-Distance from Beam Bottom to Web Fillet)*sqrt(3*Actual Bearing Pressure))/Minimum Plate Thickness)^2. To calculate Allowable Bending Stress given Plate Thickness, you need Width of Plate (B), Distance from Beam Bottom to Web Fillet (k), Actual Bearing Pressure (f_p) & Minimum Plate Thickness (t). With our tool, you need to enter the respective value for Width of Plate, Distance from Beam Bottom to Web Fillet, Actual Bearing Pressure & Minimum Plate Thickness 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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