## Maximum Equivalent Stress at Junction with Shell Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))))
fe = (sqrt((fas)^(2)+(fcs)^(2)+(fcc)^(2)-((fas*fcs)+(fas*fcc)+(fcc*fcs))))
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Maximum Equivalent Stress at Junction with Shell - (Measured in Newton per Square Millimeter) - Maximum Equivalent Stress at Junction with Shell at stress elements on material or part must be smaller from the yield strength of that used material.
Total Axial Stress - (Measured in Newton per Square Millimeter) - The Total Axial Stress in the Vessel formula is defined as the result of a force acting perpendicular to an area of a vessel, causing the extension or compression of the vessel.
Total Hoop Stress - (Measured in Newton per Square Millimeter) - The Total Hoop Stress in the Shell formula is defined as is the stress around the circumference of the shell due to a pressure gradient.
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.
STEP 1: Convert Input(s) to Base Unit
Total Axial Stress: 1.2 Newton per Square Millimeter --> 1.2 Newton per Square Millimeter No Conversion Required
Total Hoop Stress: 2.7 Newton per Square Millimeter --> 2.7 Newton per Square Millimeter No Conversion Required
Maximum Hoop Stress in Coil at Junction with Shell: 0.421875 Newton per Square Millimeter --> 0.421875 Newton per Square Millimeter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fe = (sqrt((fas)^(2)+(fcs)^(2)+(fcc)^(2)-((fas*fcs)+(fas*fcc)+(fcc*fcs)))) --> (sqrt((1.2)^(2)+(2.7)^(2)+(0.421875)^(2)-((1.2*2.7)+(1.2*0.421875)+(0.421875*2.7))))
Evaluating ... ...
fe = 2.0056584992528
STEP 3: Convert Result to Output's Unit
2005658.4992528 Pascal -->2.0056584992528 Newton per Square Millimeter (Check conversion ​here)
2.0056584992528 2.005658 Newton per Square Millimeter <-- Maximum Equivalent Stress at Junction with Shell
(Calculation completed in 00.004 seconds)
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## <Jacketed Reaction Vessel Calculators

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

## Maximum Equivalent Stress at Junction with Shell Formula

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))))
fe = (sqrt((fas)^(2)+(fcs)^(2)+(fcc)^(2)-((fas*fcs)+(fas*fcc)+(fcc*fcs))))

## 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 Equivalent Stress at Junction with Shell?

Maximum Equivalent Stress at Junction with Shell calculator uses 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)))) to calculate the Maximum Equivalent Stress at Junction with Shell, The Maximum Equivalent Stress at Junction with Shell is defined as stress elements on shell or part must be smaller from the yield strength of that used material. Maximum Equivalent Stress at Junction with Shell is denoted by fe symbol.

How to calculate Maximum Equivalent Stress at Junction with Shell using this online calculator? To use this online calculator for Maximum Equivalent Stress at Junction with Shell, enter Total Axial Stress (fas), Total Hoop Stress (fcs) & Maximum Hoop Stress in Coil at Junction with Shell (fcc) and hit the calculate button. Here is how the Maximum Equivalent Stress at Junction with Shell calculation can be explained with given input values -> 2E-6 = (sqrt((1200000)^(2)+(2700000)^(2)+(421875)^(2)-((1200000*2700000)+(1200000*421875)+(421875*2700000)))).

### FAQ

What is Maximum Equivalent Stress at Junction with Shell?
The Maximum Equivalent Stress at Junction with Shell is defined as stress elements on shell or part must be smaller from the yield strength of that used material and is represented as fe = (sqrt((fas)^(2)+(fcs)^(2)+(fcc)^(2)-((fas*fcs)+(fas*fcc)+(fcc*fcs)))) or 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)))). The Total Axial Stress in the Vessel formula is defined as the result of a force acting perpendicular to an area of a vessel, causing the extension or compression of the vessel, The Total Hoop Stress in the Shell formula is defined as is the stress around the circumference of the shell due to a pressure gradient & Maximum Hoop Stress in Coil at Junction with Shell is the stress around the circumference of the pipe due to a pressure gradient.
How to calculate Maximum Equivalent Stress at Junction with Shell?
The Maximum Equivalent Stress at Junction with Shell is defined as stress elements on shell or part must be smaller from the yield strength of that used material is calculated using 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)))). To calculate Maximum Equivalent Stress at Junction with Shell, you need Total Axial Stress (fas), Total Hoop Stress (fcs) & Maximum Hoop Stress in Coil at Junction with Shell (fcc). With our tool, you need to enter the respective value for Total Axial Stress, Total Hoop Stress & Maximum Hoop Stress in Coil at Junction with 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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