Maximum Axial Stress in Coil at Junction with Shell Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
fac = (pj*di)/((4*tc*J)+(2.5*t*J))
This formula uses 6 Variables
Variables Used
Maximum Axial Stress in Coil at Junction - (Measured in Pascal) - Maximum Axial Stress in Coil at Junction with Shell the result of a force acting perpendicular to an area of a coil, causing the extension or compression of the material.
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.
Minimum Thickness of Shell - (Measured in Meter) - Minimum Thickness of Shell without corrosion allowance for each component of a shell based on the appropriate design code calculations and code allowable stress.
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
Minimum Thickness of Shell: 5 Millimeter --> 0.005 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fac = (pj*di)/((4*tc*J)+(2.5*t*J)) --> (105000*0.054)/((4*0.0009*0.58)+(2.5*0.005*0.58))
Evaluating ... ...
fac = 607196.401799101
STEP 3: Convert Result to Output's Unit
607196.401799101 Pascal -->0.607196401799101 Newton per Square Millimeter (Check conversion here)
FINAL ANSWER
0.607196401799101 Newton per Square Millimeter <-- Maximum Axial Stress in Coil at Junction
(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 Axial Stress in Coil at Junction with Shell Formula

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))
fac = (pj*di)/((4*tc*J)+(2.5*t*J))

What is Design 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 Axial Stress in Coil at Junction with Shell?

Maximum Axial Stress in Coil at Junction with Shell calculator uses 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)) to calculate the Maximum Axial Stress in Coil at Junction, Maximum Axial Stress in Coil at Junction with Shell is defined as the result of a force acting perpendicular to an area of a coil, causing the extension or compression of the material. Maximum Axial Stress in Coil at Junction is denoted by fac symbol.

How to calculate Maximum Axial Stress in Coil at Junction with Shell using this online calculator? To use this online calculator for Maximum Axial 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) & Minimum Thickness of Shell (t) and hit the calculate button. Here is how the Maximum Axial Stress in Coil at Junction with Shell calculation can be explained with given input values -> 0.607196 = (105000*0.054)/((4*0.0009*0.58)+(2.5*0.005*0.58)).

FAQ

What is Maximum Axial Stress in Coil at Junction with Shell?
Maximum Axial Stress in Coil at Junction with Shell is defined as the result of a force acting perpendicular to an area of a coil, causing the extension or compression of the material and is represented as fac = (pj*di)/((4*tc*J)+(2.5*t*J)) or 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)). 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 & Minimum Thickness of Shell without corrosion allowance for each component of a shell based on the appropriate design code calculations and code allowable stress.
How to calculate Maximum Axial Stress in Coil at Junction with Shell?
Maximum Axial Stress in Coil at Junction with Shell is defined as the result of a force acting perpendicular to an area of a coil, causing the extension or compression of the material is calculated using 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)). To calculate Maximum Axial 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) & Minimum Thickness of Shell (t). 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 & Minimum Thickness of Shell 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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