Thickness of Horizontal Plate Fixed at Edges Calculator

✖The Maximum Pressure on Horizontal Plate formula is defined as the highest pressure that a system, equipment or material can withstand without experiencing failure or damage.ⓘ Maximum Pressure on Horizontal Plate [f_horizontal]			+10% -10%
✖Length of Horizontal Plate is a flat surface that is oriented parallel to the ground or any other reference plane.ⓘ Length of Horizontal Plate [L_Horizontal]			+10% -10%
✖Maximum Stress in Horizontal Plate fixed at Edges depends on the loading conditions and the geometry of the structure.ⓘ Maximum Stress in Horizontal Plate fixed at Edges [f_Edges]			+10% -10%
✖Effective Width of Horizontal Plate refers to the distance across the plate in a direction perpendicular to its length.ⓘ Effective Width of Horizontal Plate [a]			+10% -10%

✖Thickness of Horizontal Plate is calculated based on the bending moment, the distance from the neutral axis, and the moment of inertia of the cross-section.ⓘ Thickness of Horizontal Plate Fixed at Edges [T_h]

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Formula

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Thickness of Horizontal Plate Fixed at Edges

Formula

`"T"_{"h"} = ((0.7)*("f"_{"horizontal"})*(("L"_{"Horizontal"})^(2)/("f"_{"Edges"}))*(("a")^(4)/(("L"_{"Horizontal"})^(4)+("a")^(4))))^(0.5)`

Example

`"3.710854mm"=((0.7)*("2.2N/mm²")*(("127mm")^(2)/("530N/mm²"))*(("102mm")^(4)/(("127mm")^(4)+("102mm")^(4))))^(0.5)`

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Thickness of Horizontal Plate Fixed at Edges Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thickness of Horizontal Plate = ((0.7)*(Maximum Pressure on Horizontal Plate)*((Length of Horizontal Plate)^(2)/(Maximum Stress in Horizontal Plate fixed at Edges))*((Effective Width of Horizontal Plate)^(4)/((Length of Horizontal Plate)^(4)+(Effective Width of Horizontal Plate)^(4))))^(0.5)
T_h = ((0.7)*(f_horizontal)*((L_Horizontal)^(2)/(f_Edges))*((a)^(4)/((L_Horizontal)^(4)+(a)^(4))))^(0.5)
This formula uses 5 Variables

Variables Used

Thickness of Horizontal Plate - (Measured in Meter) - Thickness of Horizontal Plate is calculated based on the bending moment, the distance from the neutral axis, and the moment of inertia of the cross-section.
Maximum Pressure on Horizontal Plate - (Measured in Pascal) - The Maximum Pressure on Horizontal Plate formula is defined as the highest pressure that a system, equipment or material can withstand without experiencing failure or damage.
Length of Horizontal Plate - (Measured in Meter) - Length of Horizontal Plate is a flat surface that is oriented parallel to the ground or any other reference plane.
Maximum Stress in Horizontal Plate fixed at Edges - (Measured in Pascal) - Maximum Stress in Horizontal Plate fixed at Edges depends on the loading conditions and the geometry of the structure.
Effective Width of Horizontal Plate - (Measured in Meter) - Effective Width of Horizontal Plate refers to the distance across the plate in a direction perpendicular to its length.

STEP 1: Convert Input(s) to Base Unit

Maximum Pressure on Horizontal Plate: 2.2 Newton per Square Millimeter --> 2200000 Pascal (Check conversion here)
Length of Horizontal Plate: 127 Millimeter --> 0.127 Meter (Check conversion here)
Maximum Stress in Horizontal Plate fixed at Edges: 530 Newton per Square Millimeter --> 530000000 Pascal (Check conversion here)
Effective Width of Horizontal Plate: 102 Millimeter --> 0.102 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_h = ((0.7)*(f_horizontal)*((L_Horizontal)^(2)/(f_Edges))*((a)^(4)/((L_Horizontal)^(4)+(a)^(4))))^(0.5) --> ((0.7)*(2200000)*((0.127)^(2)/(530000000))*((0.102)^(4)/((0.127)^(4)+(0.102)^(4))))^(0.5)

Evaluating ... ...

T_h = 0.00371085373646984

STEP 3: Convert Result to Output's Unit

0.00371085373646984 Meter -->3.71085373646984 Millimeter (Check conversion here)

FINAL ANSWER

3.71085373646984 ≈ 3.710854 Millimeter <-- Thickness of Horizontal Plate

(Calculation completed in 00.004 seconds)

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Created by Heet

Thadomal Shahani Engineering College (Tsec), Mumbai

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National University of Judicial Science (NUJS), Kolkata

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< 14 Lug or Bracket Support Calculators

Maximum Combined Stress on Long Column

Go Maximum Combined Stress = ((Axial Compressive Load on Column/(Number of Columns*Cross Sectional Area of Column))*(1+(1/7500)*(Column Effective Length/Radius of Gyration of Column)^(2))+((Axial Compressive Load on Column*Eccentricity for Vessel Support)/(Number of Columns*Section Modulus of Vessel Support)))

Maximum Compressive Load acting on Bracket

Go Maximum Compressive Load on Remote Bracket = ((4*(Total Wind Force acting on Vessel))*(Height of Vessel above Foundation-Clearance between Vessel Bottom and Foundation))/(Number of Brackets*Diameter of Anchor Bolt Circle)+(Total Weight of Vessel/Number of Brackets)

Thickness of Horizontal Plate Fixed at Edges

Go Thickness of Horizontal Plate = ((0.7)*(Maximum Pressure on Horizontal Plate)*((Length of Horizontal Plate)^(2)/(Maximum Stress in Horizontal Plate fixed at Edges))*((Effective Width of Horizontal Plate)^(4)/((Length of Horizontal Plate)^(4)+(Effective Width of Horizontal Plate)^(4))))^(0.5)

Maximum Combined Stress on Short Column

Go Maximum Combined Stress = ((Axial Compressive Load on Column/(Number of Columns*Cross Sectional Area of Column))+((Axial Compressive Load on Column*Eccentricity for Vessel Support)/(Number of Columns*Section Modulus of Vessel Support)))

Minimum Thickness of Base Plate

Go Minimum Thickness of Base Plate = ((3*Pressure Intensity on Under Side of Base Plate/Permissible Bending Stress in Base Plate Material)*((Greater Projection of Plate beyond Column)^(2)-((Lesser Projection of Plate beyond Column)^(2)/4)))^(0.5)

Thickness of Gusset Plate

Go Thickness of Gusset Plate = (Bending Moment of Gusset Plate/((Maximum Compressive Stress*(Height of Gusset Plate^(2)))/6))*(1/cos(Gusset Plate Edge Angle))

Bending Stress in Column due to Wind Load

Go Bending Stress in Column due to Wind Load = ((Wind Load acting on Vessel/Number of Columns)*(Length of Columns/2))/Section Modulus of Vessel Support

Maximum Compressive Stress Parallel to Edge of Gusset Plate

Go Maximum Compressive Stress = (Bending Moment of Gusset Plate/Section Modulus of Vessel Support)*(1/cos(Gusset Plate Edge Angle))

Pressure Intensity on under side of Base Plate

Go Pressure Intensity on Under Side of Base Plate = Axial Compressive Load on Column/(Effective Width of Horizontal Plate*Length of Horizontal Plate)

Maximum Pressure on Horizontal Plate

Go Maximum Pressure on Horizontal Plate = Maximum Compressive Load on Remote Bracket/(Effective Width of Horizontal Plate*Length of Horizontal Plate)

Axial Bending Stress in Vessel Wall for Unit Width

Go Axial Bending Stress induced in Vessel Wall = (6*Axial Bending Moment*Effective Width of Horizontal Plate)/Vessel Shell Thickness^(2)

Minimum Area by Base Plate

Go Minimum Area provided by Base Plate = Axial Compressive Load on Column/Permissible Bearing Strength of Concrete

Maximum Compressive Stress

Go Maximum Compressive Stress = Stress due to Bending Moment+Compressive Stress due to Force

Maximum Compressive Load on Remote Bracket due to Dead Load

Go Maximum Compressive Load on Remote Bracket = Total Weight of Vessel/Number of Brackets

Thickness of Horizontal Plate Fixed at Edges Formula

What is Vessel Support in Process Equipment Design?

In equipment design, vessel support refers to the structural support provided to vessels or tanks used in various industrial processes. Vessels or tanks are used to store or transport various types of materials such as liquids, gases, and solids in industries such as chemical, petrochemical, pharmaceutical, and food processing.The design of vessel support in equipment design must comply with various standards and codes, such as the American Petroleum Institute (API) standards, American Society of Mechanical Engineers (ASME) codes, and other international standards. The vessel support design must also be approved by regulatory bodies, such as local or national authorities, before construction or installation can begin.Overall, vessel support in equipment design is a critical aspect of industrial processes involving the use of vessels or tanks.

What is Design Thickness?

Design thickness refers to the calculated minimum thickness required for a component, such as a pipe, vessel, or plate, to safely withstand its operating conditions and loads. The design thickness is based on various factors, including the material properties, operating temperature and pressure, corrosion allowances, and safety factors. It is an essential consideration in engineering design to ensure the structural integrity and safety of a component under all expected conditions of use.

How to Calculate Thickness of Horizontal Plate Fixed at Edges?

Thickness of Horizontal Plate Fixed at Edges calculator uses Thickness of Horizontal Plate = ((0.7)*(Maximum Pressure on Horizontal Plate)*((Length of Horizontal Plate)^(2)/(Maximum Stress in Horizontal Plate fixed at Edges))*((Effective Width of Horizontal Plate)^(4)/((Length of Horizontal Plate)^(4)+(Effective Width of Horizontal Plate)^(4))))^(0.5) to calculate the Thickness of Horizontal Plate, The Thickness of Horizontal Plate Fixed at Edges formula is to determine the maximum stresses, which can be compared to the allowable stress to determine the required thickness. Thickness of Horizontal Plate is denoted by T_h symbol.

How to calculate Thickness of Horizontal Plate Fixed at Edges using this online calculator? To use this online calculator for Thickness of Horizontal Plate Fixed at Edges, enter Maximum Pressure on Horizontal Plate (f_horizontal), Length of Horizontal Plate (L_Horizontal), Maximum Stress in Horizontal Plate fixed at Edges (f_Edges) & Effective Width of Horizontal Plate (a) and hit the calculate button. Here is how the Thickness of Horizontal Plate Fixed at Edges calculation can be explained with given input values -> 3710.854 = ((0.7)*(2200000)*((0.127)^(2)/(530000000))*((0.102)^(4)/((0.127)^(4)+(0.102)^(4))))^(0.5).

FAQ

What is Thickness of Horizontal Plate Fixed at Edges?

The Thickness of Horizontal Plate Fixed at Edges formula is to determine the maximum stresses, which can be compared to the allowable stress to determine the required thickness and is represented as T_h = ((0.7)*(f_horizontal)*((L_Horizontal)^(2)/(f_Edges))*((a)^(4)/((L_Horizontal)^(4)+(a)^(4))))^(0.5) or Thickness of Horizontal Plate = ((0.7)*(Maximum Pressure on Horizontal Plate)*((Length of Horizontal Plate)^(2)/(Maximum Stress in Horizontal Plate fixed at Edges))*((Effective Width of Horizontal Plate)^(4)/((Length of Horizontal Plate)^(4)+(Effective Width of Horizontal Plate)^(4))))^(0.5). The Maximum Pressure on Horizontal Plate formula is defined as the highest pressure that a system, equipment or material can withstand without experiencing failure or damage, Length of Horizontal Plate is a flat surface that is oriented parallel to the ground or any other reference plane, Maximum Stress in Horizontal Plate fixed at Edges depends on the loading conditions and the geometry of the structure & Effective Width of Horizontal Plate refers to the distance across the plate in a direction perpendicular to its length.

How to calculate Thickness of Horizontal Plate Fixed at Edges?

The Thickness of Horizontal Plate Fixed at Edges formula is to determine the maximum stresses, which can be compared to the allowable stress to determine the required thickness is calculated using Thickness of Horizontal Plate = ((0.7)*(Maximum Pressure on Horizontal Plate)*((Length of Horizontal Plate)^(2)/(Maximum Stress in Horizontal Plate fixed at Edges))*((Effective Width of Horizontal Plate)^(4)/((Length of Horizontal Plate)^(4)+(Effective Width of Horizontal Plate)^(4))))^(0.5). To calculate Thickness of Horizontal Plate Fixed at Edges, you need Maximum Pressure on Horizontal Plate (f_horizontal), Length of Horizontal Plate (L_Horizontal), Maximum Stress in Horizontal Plate fixed at Edges (f_Edges) & Effective Width of Horizontal Plate (a). With our tool, you need to enter the respective value for Maximum Pressure on Horizontal Plate, Length of Horizontal Plate, Maximum Stress in Horizontal Plate fixed at Edges & Effective Width of Horizontal Plate 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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