Minimum Thickness of Base Plate Calculator

✖Pressure Intensity on Under Side of Base Plate refers to the amount of pressure acting on a given area or surface.ⓘ Pressure Intensity on Under Side of Base Plate [w]			+10% -10%
✖Permissible Bending Stress in Base Plate Material also known as allowable bending stress, is the maximum amount of stress that a material can withstand before it fails due to bending.ⓘ Permissible Bending Stress in Base Plate Material [f_b]			+10% -10%
✖Greater Projection of Plate beyond Column design it is attached to is often used to provide additional support or stability to a structure.ⓘ Greater Projection of Plate beyond Column [A]			+10% -10%
✖Lesser Projection of Plate beyond Column is often used to provide a minimum amount of support or stability to a structure, such as a building or bridge.ⓘ Lesser Projection of Plate beyond Column [B]			+10% -10%

✖Minimum Thickness of Base Plate will depend on a variety of factors, including the material being used, the intended use of the plate, and the loads or stresses that the plate will be subjected to.ⓘ Minimum Thickness of Base Plate [t_B]

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Minimum Thickness of Base Plate

Formula

`"t"_{"B"} = ((3*"w"/"f"_{"b"})*(("A")^(2)-(("B")^(2)/4)))^(0.5)`

Example

`"1.955142mm"=((3*"0.4N/mm²"/"155N/mm²")*(("26mm")^(2)-(("27mm")^(2)/4)))^(0.5)`

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Minimum Thickness of Base Plate Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
t_B = ((3*w/f_b)*((A)^(2)-((B)^(2)/4)))^(0.5)
This formula uses 5 Variables

Variables Used

Minimum Thickness of Base Plate - (Measured in Meter) - Minimum Thickness of Base Plate will depend on a variety of factors, including the material being used, the intended use of the plate, and the loads or stresses that the plate will be subjected to.
Pressure Intensity on Under Side of Base Plate - (Measured in Pascal) - Pressure Intensity on Under Side of Base Plate refers to the amount of pressure acting on a given area or surface.
Permissible Bending Stress in Base Plate Material - (Measured in Pascal) - Permissible Bending Stress in Base Plate Material also known as allowable bending stress, is the maximum amount of stress that a material can withstand before it fails due to bending.
Greater Projection of Plate beyond Column - (Measured in Meter) - Greater Projection of Plate beyond Column design it is attached to is often used to provide additional support or stability to a structure.
Lesser Projection of Plate beyond Column - (Measured in Meter) - Lesser Projection of Plate beyond Column is often used to provide a minimum amount of support or stability to a structure, such as a building or bridge.

STEP 1: Convert Input(s) to Base Unit

Pressure Intensity on Under Side of Base Plate: 0.4 Newton per Square Millimeter --> 400000 Pascal (Check conversion here)
Permissible Bending Stress in Base Plate Material: 155 Newton per Square Millimeter --> 155000000 Pascal (Check conversion here)
Greater Projection of Plate beyond Column: 26 Millimeter --> 0.026 Meter (Check conversion here)
Lesser Projection of Plate beyond Column: 27 Millimeter --> 0.027 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_B = ((3*w/f_b)*((A)^(2)-((B)^(2)/4)))^(0.5) --> ((3*400000/155000000)*((0.026)^(2)-((0.027)^(2)/4)))^(0.5)

Evaluating ... ...

t_B = 0.00195514210357234

STEP 3: Convert Result to Output's Unit

0.00195514210357234 Meter -->1.95514210357234 Millimeter (Check conversion here)

FINAL ANSWER

1.95514210357234 ≈ 1.955142 Millimeter <-- Minimum Thickness of Base Plate

(Calculation completed in 00.020 seconds)

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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

Minimum Thickness of Base Plate Formula

What is Design Thickness?

Design thickness refers to the calculated thickness of a structural element, such as a plate, beam, or column, that is required to safely support the loads and stresses that it will be subjected to in a given application. The design thickness is determined through engineering analysis and design, and takes into account factors such as the material properties, the size and shape of the element, and the loading conditions.The design thickness is typically calculated based on the required strength and stiffness of the element, as well as any deflection or deformation limits that must be met to ensure the functionality and safety of the structure. For example, in the design of a steel beam for a building, the design thickness would be calculated based on the required bending strength and stiffness of the beam, as well as any deflection limits that must be met to ensure the building remains structurally sound and comfortable for occupants.

How to Calculate Minimum Thickness of Base Plate?

Minimum Thickness of Base Plate calculator uses 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) to calculate the Minimum Thickness of Base Plate, The Minimum Thickness of Base Plate will depend on a variety of factors, including the material being used, the intended use of the plate, and the loads or stresses that the plate will be subjected to. Minimum Thickness of Base Plate is denoted by t_B symbol.

How to calculate Minimum Thickness of Base Plate using this online calculator? To use this online calculator for Minimum Thickness of Base Plate, enter Pressure Intensity on Under Side of Base Plate (w), Permissible Bending Stress in Base Plate Material (f_b), Greater Projection of Plate beyond Column (A) & Lesser Projection of Plate beyond Column (B) and hit the calculate button. Here is how the Minimum Thickness of Base Plate calculation can be explained with given input values -> 1955.142 = ((3*400000/155000000)*((0.026)^(2)-((0.027)^(2)/4)))^(0.5).

FAQ

What is Minimum Thickness of Base Plate?

The Minimum Thickness of Base Plate will depend on a variety of factors, including the material being used, the intended use of the plate, and the loads or stresses that the plate will be subjected to and is represented as t_B = ((3*w/f_b)*((A)^(2)-((B)^(2)/4)))^(0.5) or 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). Pressure Intensity on Under Side of Base Plate refers to the amount of pressure acting on a given area or surface, Permissible Bending Stress in Base Plate Material also known as allowable bending stress, is the maximum amount of stress that a material can withstand before it fails due to bending, Greater Projection of Plate beyond Column design it is attached to is often used to provide additional support or stability to a structure & Lesser Projection of Plate beyond Column is often used to provide a minimum amount of support or stability to a structure, such as a building or bridge.

How to calculate Minimum Thickness of Base Plate?

The Minimum Thickness of Base Plate will depend on a variety of factors, including the material being used, the intended use of the plate, and the loads or stresses that the plate will be subjected to is calculated using 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). To calculate Minimum Thickness of Base Plate, you need Pressure Intensity on Under Side of Base Plate (w), Permissible Bending Stress in Base Plate Material (f_b), Greater Projection of Plate beyond Column (A) & Lesser Projection of Plate beyond Column (B). With our tool, you need to enter the respective value for Pressure Intensity on Under Side of Base Plate, Permissible Bending Stress in Base Plate Material, Greater Projection of Plate beyond Column & Lesser Projection of Plate beyond Column 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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