Thickness of Gusset Plate Calculator

✖Bending Moment of Gusset Plate is a measure of the bending or flexural strength of a beam or structural element.ⓘ Bending Moment of Gusset Plate [M_GussetPlate]			+10% -10%
✖Maximum Compressive Stress is the maximum amount of stress that a material can withstand before it starts to deform plastically or fracture.ⓘ Maximum Compressive Stress [f_Compressive]			+10% -10%
✖Height of Gusset Plate is typically chosen to provide adequate strength and stiffness to the joint, while also maintaining a reasonable size and weight for the overall structure.ⓘ Height of Gusset Plate [h]			+10% -10%
✖Gusset Plate Edge Angle refers to the angle between the edge of a gusset plate and the beam or column to which it is attached.ⓘ Gusset Plate Edge Angle [Θ]			+10% -10%

✖Thickness of Gusset Plate is determined based on the compressive and tensile stresses acting on it.ⓘ Thickness of Gusset Plate [T_g]

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Formula

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Thickness of Gusset Plate

Formula

`"T"_{"g"} = ("M"_{"GussetPlate"}/(("f"_{"Compressive"}*("h"^(2)))/6))*(1/cos("Θ"))`

Example

`"3.532161mm"=("2011134N*mm"/(("161N/mm²"*(("190mm")^(2)))/6))*(1/cos("54°"))`

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Thickness of Gusset Plate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thickness of Gusset Plate = (Bending Moment of Gusset Plate/((Maximum Compressive Stress*(Height of Gusset Plate^(2)))/6))*(1/cos(Gusset Plate Edge Angle))
T_g = (M_GussetPlate/((f_Compressive*(h^(2)))/6))*(1/cos(Θ))
This formula uses 1 Functions, 5 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Thickness of Gusset Plate - (Measured in Meter) - Thickness of Gusset Plate is determined based on the compressive and tensile stresses acting on it.
Bending Moment of Gusset Plate - (Measured in Newton Meter) - Bending Moment of Gusset Plate is a measure of the bending or flexural strength of a beam or structural element.
Maximum Compressive Stress - (Measured in Pascal) - Maximum Compressive Stress is the maximum amount of stress that a material can withstand before it starts to deform plastically or fracture.
Height of Gusset Plate - (Measured in Meter) - Height of Gusset Plate is typically chosen to provide adequate strength and stiffness to the joint, while also maintaining a reasonable size and weight for the overall structure.
Gusset Plate Edge Angle - (Measured in Radian) - Gusset Plate Edge Angle refers to the angle between the edge of a gusset plate and the beam or column to which it is attached.

STEP 1: Convert Input(s) to Base Unit

Bending Moment of Gusset Plate: 2011134 Newton Millimeter --> 2011.134 Newton Meter (Check conversion here)
Maximum Compressive Stress: 161 Newton per Square Millimeter --> 161000000 Pascal (Check conversion here)
Height of Gusset Plate: 190 Millimeter --> 0.19 Meter (Check conversion here)
Gusset Plate Edge Angle: 54 Degree --> 0.942477796076761 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_g = (M_GussetPlate/((f_Compressive*(h^(2)))/6))*(1/cos(Θ)) --> (2011.134/((161000000*(0.19^(2)))/6))*(1/cos(0.942477796076761))

Evaluating ... ...

T_g = 0.00353216103536523

STEP 3: Convert Result to Output's Unit

0.00353216103536523 Meter -->3.53216103536523 Millimeter (Check conversion here)

FINAL ANSWER

3.53216103536523 ≈ 3.532161 Millimeter <-- Thickness of Gusset 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 Gusset Plate 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 Gusset Plate?

Thickness of Gusset Plate calculator uses Thickness of Gusset Plate = (Bending Moment of Gusset Plate/((Maximum Compressive Stress*(Height of Gusset Plate^(2)))/6))*(1/cos(Gusset Plate Edge Angle)) to calculate the Thickness of Gusset Plate, The Thickness of Gusset Plate formula refers to the thickness of the plate that is used to reinforce and connect two or more structural elements. Thickness of Gusset Plate is denoted by T_g symbol.

How to calculate Thickness of Gusset Plate using this online calculator? To use this online calculator for Thickness of Gusset Plate, enter Bending Moment of Gusset Plate (M_GussetPlate), Maximum Compressive Stress (f_Compressive), Height of Gusset Plate (h) & Gusset Plate Edge Angle (Θ) and hit the calculate button. Here is how the Thickness of Gusset Plate calculation can be explained with given input values -> 3532.161 = (2011.134/((161000000*(0.19^(2)))/6))*(1/cos(0.942477796076761)).

FAQ

What is Thickness of Gusset Plate?

The Thickness of Gusset Plate formula refers to the thickness of the plate that is used to reinforce and connect two or more structural elements and is represented as T_g = (M_GussetPlate/((f_Compressive*(h^(2)))/6))*(1/cos(Θ)) or 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 Moment of Gusset Plate is a measure of the bending or flexural strength of a beam or structural element, Maximum Compressive Stress is the maximum amount of stress that a material can withstand before it starts to deform plastically or fracture, Height of Gusset Plate is typically chosen to provide adequate strength and stiffness to the joint, while also maintaining a reasonable size and weight for the overall structure & Gusset Plate Edge Angle refers to the angle between the edge of a gusset plate and the beam or column to which it is attached.

How to calculate Thickness of Gusset Plate?

The Thickness of Gusset Plate formula refers to the thickness of the plate that is used to reinforce and connect two or more structural elements is calculated using Thickness of Gusset Plate = (Bending Moment of Gusset Plate/((Maximum Compressive Stress*(Height of Gusset Plate^(2)))/6))*(1/cos(Gusset Plate Edge Angle)). To calculate Thickness of Gusset Plate, you need Bending Moment of Gusset Plate (M_GussetPlate), Maximum Compressive Stress (f_Compressive), Height of Gusset Plate (h) & Gusset Plate Edge Angle (Θ). With our tool, you need to enter the respective value for Bending Moment of Gusset Plate, Maximum Compressive Stress, Height of Gusset Plate & Gusset Plate Edge Angle 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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