Maximum Hoop Stress in Coil at Junction with Shell Calculator

✖Design Jacket Pressure refers to a type of pressure vessel designed to withstand high pressures and temperatures, typically used for containing gases or liquids under extreme conditions.ⓘ Design Jacket Pressure [p_j]			+10% -10%
✖Internal Diameter of Half Coil is a measurement of the distance of a straight line from one point on the inner wall of the object, through its center, to an opposite point also on the inside.ⓘ Internal Diameter of Half Coil [d_i]			+10% -10%
✖Thickness of Half Coil Jacket can be determined by considering the heat transfer coefficient, the surface area of the coil, and the temperature difference.ⓘ Thickness of Half Coil Jacket [t_coil]			+10% -10%
✖Weld Joint Efficiency Factor for Coil is a measure of the strength of the weld relative to the strength of the base metal.ⓘ Weld Joint Efficiency Factor for Coil [J_coil]			+10% -10%

✖Maximum Hoop Stress in Coil at Junction with Shell is the stress around the circumference of the pipe due to a pressure gradient.ⓘ Maximum Hoop Stress in Coil at Junction with Shell [f_cc]

⎘ Copy

👎

Formula

✖

Maximum Hoop Stress in Coil at Junction with Shell

Formula

`"f"_{"cc"} = ("p"_{"j"}*"d"_{"i"})/(2*"t"_{"coil"}*"J"_{"coil"})`

Example

`"0.421875N/mm²"=("0.105N/mm²"*"54mm")/(2*"11.2mm"*"0.6")`

Calculator

LaTeX

Reset

👍

Download Jacketed Reaction Vessel Formulas PDF PDF Image

Maximum Hoop Stress in Coil at Junction with Shell Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Hoop Stress in Coil at Junction with Shell = (Design Jacket Pressure*Internal Diameter of Half Coil)/(2*Thickness of Half Coil Jacket*Weld Joint Efficiency Factor for Coil)
f_cc = (p_j*d_i)/(2*t_coil*J_coil)
This formula uses 5 Variables

Variables Used

Maximum Hoop Stress in Coil at Junction with Shell - (Measured in Newton per Square Millimeter) - Maximum Hoop Stress in Coil at Junction with Shell is the stress around the circumference of the pipe due to a pressure gradient.
Design Jacket Pressure - (Measured in Newton per Square Millimeter) - Design Jacket Pressure refers to a type of pressure vessel designed to withstand high pressures and temperatures, typically used for containing gases or liquids under extreme conditions.
Internal Diameter of Half Coil - (Measured in Millimeter) - Internal Diameter of Half Coil is a measurement of the distance of a straight line from one point on the inner wall of the object, through its center, to an opposite point also on the inside.
Thickness of Half Coil Jacket - (Measured in Millimeter) - Thickness of Half Coil Jacket can be determined by considering the heat transfer coefficient, the surface area of the coil, and the temperature difference.
Weld Joint Efficiency Factor for Coil - Weld Joint Efficiency Factor for Coil is a measure of the strength of the weld relative to the strength of the base metal.

STEP 1: Convert Input(s) to Base Unit

Design Jacket Pressure: 0.105 Newton per Square Millimeter --> 0.105 Newton per Square Millimeter No Conversion Required
Internal Diameter of Half Coil: 54 Millimeter --> 54 Millimeter No Conversion Required
Thickness of Half Coil Jacket: 11.2 Millimeter --> 11.2 Millimeter No Conversion Required
Weld Joint Efficiency Factor for Coil: 0.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_cc = (p_j*d_i)/(2*t_coil*J_coil) --> (0.105*54)/(2*11.2*0.6)

Evaluating ... ...

f_cc = 0.421875

STEP 3: Convert Result to Output's Unit

421875 Pascal -->0.421875 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

0.421875 Newton per Square Millimeter <-- Maximum Hoop Stress in Coil at Junction with Shell

(Calculation completed in 00.006 seconds)

You are here -

Home » Engineering » Chemical Engineering » Process Equipment Design » Jacketed Reaction Vessel » Maximum Hoop Stress in Coil at Junction with Shell

Credits

Created by Heet

Thadomal Shahani Engineering College (Tsec), Mumbai

Heet has created this Calculator and 200+ more calculators!

Verified by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has verified this Calculator and 1600+ more calculators!

< 21 Jacketed Reaction Vessel Calculators

Total Axial Stress in Vessel Shell

Go Total Axial Stress = ((Internal Pressure in Vessel*Internal Diameter of Shell)/(4*Shell Thickness*Joint Efficiency for Shell))+((Design Jacket Pressure*Internal Diameter of Half Coil)/(2*Shell Thickness*Joint Efficiency for Shell))+(2*Maximum difference between Coil and Shell Pressure*(Outer Diameter of Half Coil)^(2))/(3*Shell Thickness^(2))

Maximum Equivalent Stress at Junction with Shell

Go Maximum Equivalent Stress at Junction with Shell = (sqrt((Total Axial Stress)^(2)+(Total Hoop Stress)^(2)+(Maximum Hoop Stress in Coil at Junction with Shell)^(2)-((Total Axial Stress*Total Hoop Stress)+(Total Axial Stress*Maximum Hoop Stress in Coil at Junction with Shell)+(Maximum Hoop Stress in Coil at Junction with Shell*Total Hoop Stress))))

Total Hoop Stress in Shell

Go Total Hoop Stress = (Design Pressure Shell*Internal Diameter of Shell)/(2*Shell Thickness*Joint Efficiency for Shell)+(Design Jacket Pressure*Internal Diameter of Half Coil)/((4*Thickness of Half Coil Jacket*Weld Joint Efficiency Factor for Coil)+(2.5*Shell Thickness*Joint Efficiency for Shell))

Combined Moment of Inertia of Shell and Stiffener per Unit Length

Go Combined Moment of Inertia of Shell and Stiffener = (Vessel Shell Outer Diameter^(2)*Effective Length Between Stiffeners*(Shell Thickness for Jackted Reaction Vessel+Cross Sectional Area of Stiffening Ring/Effective Length Between Stiffeners)*Allowable Stress for Jacket Material)/(12*Modulus of Elasticity Jacketed Reaction Vessel)

Shell Thickness for Critical External Pressure

Go Critical External Pressure = (2.42*Modulus of Elasticity Jacketed Reaction Vessel)/(1-(Poisson Ratio)^(2))^(3/4)*((Vessel Thickness/Vessel Shell Outer Diameter)^(5/2)/((Length of Shell/Vessel Shell Outer Diameter)-0.45*(Vessel Thickness/Vessel Shell Outer Diameter)^(1/2)))

Depth of Torisperical Head

Go Depth of Head = Crown Radius for Jacketed Reaction Vessel-sqrt((Crown Radius for Jacketed Reaction Vessel-Vessel Shell Outer Diameter/2)*(Crown Radius for Jacketed Reaction Vessel+Vessel Shell Outer Diameter/2-2*Knuckle Radius))

Design of Shell Thickness Subjected to Internal Pressure

Go Shell Thickness for Jackted Reaction Vessel = (Internal Pressure in Vessel*Internal Diameter of Shell)/((2*Allowable Stress for Jacket Material*Joint Efficiency for Shell)-(Internal Pressure in Vessel))+Corrosion Allowance

Maximum Axial Stress in Coil at Junction with Shell

Go Maximum Axial Stress in Coil at Junction = (Design Jacket Pressure*Internal Diameter of Half Coil)/((4*Thickness of Half Coil Jacket*Weld Joint Efficiency Factor for Coil)+(2.5*Shell Thickness*Joint Efficiency for Shell))

Dished Head Thickness

Go Dished Head Thickness = ((Internal Pressure in Vessel*Crown Radius for Jacketed Reaction Vessel*Stress Intensification Factor)/(2*Allowable Stress for Jacket Material*Joint Efficiency for Shell))+Corrosion Allowance

Thickness of Bottom Head subjected to Pressure

Go Head Thickness = 4.4*Crown Radius for Jacketed Reaction Vessel*(3*(1-(Poisson Ratio)^(2)))^(1/4)*sqrt(Internal Pressure in Vessel/(2*Modulus of Elasticity Jacketed Reaction Vessel))

Thickness of Half Coil Jacket

Go Thickness of Half Coil Jacket = (Design Jacket Pressure*Internal Diameter of Half Coil)/((2*Allowable Stress for Jacket Material*Joint Efficiency for Shell))+Corrosion Allowance

Thickness of Jacket Shell for Internal Pressure

Go Required Thickness of Jacket = (Design Jacket Pressure*Internal Diameter of Shell)/((2*Allowable Stress for Jacket Material*Joint Efficiency for Shell)-Design Jacket Pressure)

Channel Jacket Thickness

Go Channel Wall Thickness = Design Length of Channel Section*(sqrt((0.12*Design Jacket Pressure)/(Allowable Stress for Jacket Material)))+Corrosion Allowance

Maximum Hoop Stress in Coil at Junction with Shell

Go Maximum Hoop Stress in Coil at Junction with Shell = (Design Jacket Pressure*Internal Diameter of Half Coil)/(2*Thickness of Half Coil Jacket*Weld Joint Efficiency Factor for Coil)

Vessel Wall Thickness for Channel Type Jacket

Go Vessel Thickness = Design Length of Channel Section*sqrt((0.167*Design Jacket Pressure)/(Allowable Stress for Jacket Material))+Corrosion Allowance

Required Plate Thickness for Dimple Jacket

Go Required Thickness of Dimple Jacket = Maximum Pitch between Steam Weld Centre Lines*sqrt(Design Jacket Pressure/(3*Allowable Stress for Jacket Material))

Required Thickness for Jacket Closer Member with Jacket Width

Go Required Thickness for Jacket Closer Member = 0.886*Jacket Width*sqrt(Design Jacket Pressure/Allowable Stress for Jacket Material)

Length of Shell under Combined Moment of Inertia

Go Length of Shell = 1.1*sqrt(Vessel Shell Outer Diameter*Vessel Thickness)

Cross Sectional Area of Stiffening Ring

Go Cross Sectional Area of Stiffening Ring = Width of Stiffener*Thickness of Stiffener

Length of Shell for Jacket

Go Length of Shell for Jacket = Length of Straight Side Jacket+1/3*Depth of Head

Jacket Width

Go Jacket Width = (Inside Diameter of Jacket-Outer Diameter of Vessel)/2

Maximum Hoop Stress in Coil at Junction with Shell Formula

What is Stress?

Stress is a physical quantity. It is a quantity that describes the magnitude of forces that cause deformation. Stress is defined as force per unit area. When an object is pulled apart by a force it will cause elongation which is also known as deformation, like the stretching of an elastic band, it is called tensile stress. But, when the forces result in the compression of an object, it is called compressive stress.

How to Calculate Maximum Hoop Stress in Coil at Junction with Shell?

Maximum Hoop Stress in Coil at Junction with Shell calculator uses Maximum Hoop Stress in Coil at Junction with Shell = (Design Jacket Pressure*Internal Diameter of Half Coil)/(2*Thickness of Half Coil Jacket*Weld Joint Efficiency Factor for Coil) to calculate the Maximum Hoop Stress in Coil at Junction with Shell, Maximum Hoop Stress in Coil at Junction with Shell formula is defined as the stress that occurs along the coil circumference when pressure is applied. Maximum Hoop Stress in Coil at Junction with Shell is denoted by f_cc symbol.

How to calculate Maximum Hoop Stress in Coil at Junction with Shell using this online calculator? To use this online calculator for Maximum Hoop Stress in Coil at Junction with Shell, enter Design Jacket Pressure (p_j), Internal Diameter of Half Coil (d_i), Thickness of Half Coil Jacket (t_coil) & Weld Joint Efficiency Factor for Coil (J_coil) and hit the calculate button. Here is how the Maximum Hoop Stress in Coil at Junction with Shell calculation can be explained with given input values -> 4.2E-7 = (105000*0.054)/(2*0.0112*0.6).

FAQ

What is Maximum Hoop Stress in Coil at Junction with Shell?

Maximum Hoop Stress in Coil at Junction with Shell formula is defined as the stress that occurs along the coil circumference when pressure is applied and is represented as f_cc = (p_j*d_i)/(2*t_coil*J_coil) or Maximum Hoop Stress in Coil at Junction with Shell = (Design Jacket Pressure*Internal Diameter of Half Coil)/(2*Thickness of Half Coil Jacket*Weld Joint Efficiency Factor for Coil). Design Jacket Pressure refers to a type of pressure vessel designed to withstand high pressures and temperatures, typically used for containing gases or liquids under extreme conditions, Internal Diameter of Half Coil is a measurement of the distance of a straight line from one point on the inner wall of the object, through its center, to an opposite point also on the inside, Thickness of Half Coil Jacket can be determined by considering the heat transfer coefficient, the surface area of the coil, and the temperature difference & Weld Joint Efficiency Factor for Coil is a measure of the strength of the weld relative to the strength of the base metal.

How to calculate Maximum Hoop Stress in Coil at Junction with Shell?

Maximum Hoop Stress in Coil at Junction with Shell formula is defined as the stress that occurs along the coil circumference when pressure is applied is calculated using Maximum Hoop Stress in Coil at Junction with Shell = (Design Jacket Pressure*Internal Diameter of Half Coil)/(2*Thickness of Half Coil Jacket*Weld Joint Efficiency Factor for Coil). To calculate Maximum Hoop Stress in Coil at Junction with Shell, you need Design Jacket Pressure (p_j), Internal Diameter of Half Coil (d_i), Thickness of Half Coil Jacket (t_coil) & Weld Joint Efficiency Factor for Coil (J_coil). With our tool, you need to enter the respective value for Design Jacket Pressure, Internal Diameter of Half Coil, Thickness of Half Coil Jacket & Weld Joint Efficiency Factor for Coil and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search