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 = (Internal Jacket Pressure*Internal Diameter of Half Coil)/(2*Thickness of Half Coil Jacket*Weld Joint Efficiency Factor for Coil)
fcc = (pj*di)/(2*tc*J)
This formula uses 5 Variables
Variables Used
Maximum Hoop Stress in Coil at Junction with Shell - (Measured in Pascal) - Maximum Hoop Stress in Coil at Junction with Shell is the stress around the circumference of the pipe due to a pressure gradient.
Internal Jacket Pressure - (Measured in Pascal) - Internal Jacket pressure is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.
Internal Diameter of Half Coil - (Measured in Meter) - 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 Meter) - Thickness of Half Coil Jacket the distance through an object, as distinct from width or height.
Weld Joint Efficiency Factor for Coil - Weld Joint Efficiency Factor for Coil the reliability that can be obtained from the joints after welding.
STEP 1: Convert Input(s) to Base Unit
Internal Jacket Pressure: 0.105 Newton per Square Millimeter --> 105000 Pascal (Check conversion here)
Internal Diameter of Half Coil: 54 Millimeter --> 0.054 Meter (Check conversion here)
Thickness of Half Coil Jacket: 0.9 Millimeter --> 0.0009 Meter (Check conversion here)
Weld Joint Efficiency Factor for Coil: 0.58 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fcc = (pj*di)/(2*tc*J) --> (105000*0.054)/(2*0.0009*0.58)
Evaluating ... ...
fcc = 5431034.48275862
STEP 3: Convert Result to Output's Unit
5431034.48275862 Pascal -->5.43103448275862 Newton per Square Millimeter (Check conversion here)
FINAL ANSWER
5.43103448275862 Newton per Square Millimeter <-- Maximum Hoop Stress in Coil at Junction with Shell
(Calculation completed in 00.031 seconds)

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8 Jacketed Reaction Vessel Calculators

Maximum Axial Stress in Coil at Junction with Shell

Maximum Axial Stress in Coil at Junction with Shell

Formula
`"f"_{"ac"} = ("p"_{"j"}*"d"_{"i"})/((4*"t"_{"c"}*"J")+(2.5*"t"*"J"))`

Example
`"0.607196N/mm²"=("0.105N/mm²"*"54mm")/((4*"0.9mm"*"0.58")+(2.5*"5mm"*"0.58"))`

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

Dished Head Thickness

Formula
`"t"_{"h"} = ("p"*"R"_{"c"}*"V")/(2*"f"*"J")+"c"`

Example
`"10.50007mm"=("0.52N/mm²"*"1400mm"*"20")/(2*"120N/mm²"*"0.85")+"10.5mm"`

Calculator
LaTeX
Go Dished Head Thickness = (Internal Pressure in Vessel*Crown Radius*Stress Intensification Factor)/(2*Allowable Stress for Jacket Material*Joint Efficiency)+Corrosion Allowance
Thickness of Half Coil

Thickness of Half Coil

Formula
`"t" = ("p"_{"j"}*"d"_{"i"})/((2*"f"*"J"))+"c"`

Example
`"10.52779mm"=("0.105N/mm²"*"54mm")/((2*"120N/mm²"*"0.85"))+"10.5mm"`

Calculator
LaTeX
Go Shell thickness = (Internal Jacket Pressure*Internal Diameter of Half Coil)/((2*Allowable Stress for Jacket Material*Joint Efficiency))+Corrosion Allowance
Maximum Hoop Stress in Coil at Junction with Shell

Maximum Hoop Stress in Coil at Junction with Shell

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

Example
`"5.431034N/mm²"=("0.105N/mm²"*"54mm")/(2*"0.9mm"*"0.58")`

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

Required Plate Thickness for Dimple Jacket

Formula
`"tj"_{"(""min"i"mum)"} = "P"_{"N"}*("p"_{"j"}/(3*"f"))^(0.5) `

Example
`"0.153704mm"="9mm"*("0.105N/mm²"/(3*"120N/mm²"))^(0.5) `

Calculator
LaTeX
Go Plate Thickness required for the Dimple Jacket = Normal Pitch*(Internal Jacket Pressure/(3*Allowable Stress for Jacket Material))^(0.5)
Required Thickness for Jacket Closer Member with Jacket Width

Required Thickness for Jacket Closer Member with Jacket Width

Formula
`"t"_{"rc"} = 0.886*"w"_{"j"}*("p"_{"j"}/"f")^(0.5)`

Example
`"0.052416mm"=0.886*"2mm"*("0.105N/mm²"/"120N/mm²")^(0.5)`

Calculator
LaTeX
Go Required Thickness for Jacket Closer Member = 0.886*Jacket Width*(Internal Jacket Pressure/Allowable Stress for Jacket Material)^(0.5)
Jacket Width

Jacket Width

Formula
`"w"_{"j"} = ("D"_{"i"}-"D"_{"o"})/2`

Example
`"50mm"=("1100mm"-"1000mm")/2`

Calculator
LaTeX
Go Jacket Width = (Inside Diameter of Jacket-Outer Diameter of Vessel)/2
Required Thickness for Jacket Closer Member

Required Thickness for Jacket Closer Member

Formula
`"t"_{"rc"} = 2*("t"_{"rj"})`

Example
`"14mm"=2*("7mm")`

Calculator
LaTeX
Go Required Thickness for Jacket Closer Member = 2*(Required Jacket Wall Thickness)

Maximum Hoop Stress in Coil at Junction with Shell Formula

Maximum Hoop Stress in Coil at Junction with Shell = (Internal Jacket Pressure*Internal Diameter of Half Coil)/(2*Thickness of Half Coil Jacket*Weld Joint Efficiency Factor for Coil)
fcc = (pj*di)/(2*tc*J)

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 = (Internal 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 fcc 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 Internal Jacket Pressure (pj), Internal Diameter of Half Coil (di), Thickness of Half Coil Jacket (tc) & Weld Joint Efficiency Factor for Coil (J) 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 -> 5.431034 = (105000*0.054)/(2*0.0009*0.58).

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 fcc = (pj*di)/(2*tc*J) or Maximum Hoop Stress in Coil at Junction with Shell = (Internal Jacket Pressure*Internal Diameter of Half Coil)/(2*Thickness of Half Coil Jacket*Weld Joint Efficiency Factor for Coil). Internal Jacket pressure is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature, 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 the distance through an object, as distinct from width or height & Weld Joint Efficiency Factor for Coil the reliability that can be obtained from the joints after welding.
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 = (Internal 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 Internal Jacket Pressure (pj), Internal Diameter of Half Coil (di), Thickness of Half Coil Jacket (tc) & Weld Joint Efficiency Factor for Coil (J). With our tool, you need to enter the respective value for Internal 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.
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