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Maximum Equivalent Stress at Junction with Shell Formula

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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. Check FAQs

f e = (\sqrt{{(f as)}^{2} + {(f cs)}^{2} + {(f cc)}^{2} - ((f as \cdot f cs) + (f as \cdot f cc) + (f cc \cdot f cs))})

f_e - Maximum Equivalent Stress at Junction with Shell?f_as - Total Axial Stress?f_cs - Total Hoop Stress?f_cc - Maximum Hoop Stress in Coil at Junction with Shell?

Maximum Equivalent Stress at Junction with Shell Example

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Here is how the Maximum Equivalent Stress at Junction with Shell equation looks like with Values.

Here is how the Maximum Equivalent Stress at Junction with Shell equation looks like with Units.

Here is how the Maximum Equivalent Stress at Junction with Shell equation looks like.

2.0057 = (\sqrt{{(1.2)}^{2} + {(2.7)}^{2} + {(0.4219)}^{2} - ((1.2 \cdot 2.7) + (1.2 \cdot 0.4219) + (0.4219 \cdot 2.7))})

2.0057N/mm² = (\sqrt{{(1.2N/mm²)}^{2} + {(2.7N/mm²)}^{2} + {(0.4219N/mm²)}^{2} - ((1.2N/mm² \cdot 2.7N/mm²) + (1.2N/mm² \cdot 0.4219N/mm²) + (0.4219N/mm² \cdot 2.7N/mm²))})

2.0057 = (\sqrt{{(1.2)}^{2} + {(2.7)}^{2} + {(0.4219)}^{2} - ((1.2 \cdot 2.7) + (1.2 \cdot 0.4219) + (0.4219 \cdot 2.7))})

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Maximum Equivalent Stress at Junction with Shell Solution

Follow our step by step solution on how to calculate Maximum Equivalent Stress at Junction with Shell?

FIRST Step Consider the formula

f e = (\sqrt{{(f as)}^{2} + {(f cs)}^{2} + {(f cc)}^{2} - ((f as \cdot f cs) + (f as \cdot f cc) + (f cc \cdot f cs))})

Next Step Substitute values of Variables

∴

f e = (\sqrt{{(1.2N/mm²)}^{2} + {(2.7N/mm²)}^{2} + {(0.4219N/mm²)}^{2} - ((1.2N/mm² \cdot 2.7N/mm²) + (1.2N/mm² \cdot 0.4219N/mm²) + (0.4219N/mm² \cdot 2.7N/mm²))})

Next Step Prepare to Evaluate

∴

f e = (\sqrt{{(1.2)}^{2} + {(2.7)}^{2} + {(0.4219)}^{2} - ((1.2 \cdot 2.7) + (1.2 \cdot 0.4219) + (0.4219 \cdot 2.7))})

Next Step Evaluate

∴

f e = 2005658.4992528Pa

Next Step Convert to Output's Unit

∴

f e = 2.0056584992528N/mm²

LAST Step Rounding Answer

∴

f e = 2.0057N/mm²

Maximum Equivalent Stress at Junction with Shell Formula Elements

Variables

Functions

Maximum Equivalent Stress at Junction with Shell

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.

Symbol: f_e

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Maximum Equivalent Stress at Junction with Shell

Total Axial 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.

Symbol: f_as

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Total Axial Stress

Total Hoop Stress

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.

Symbol: f_cs

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Total Hoop Stress

Maximum Hoop Stress in Coil at Junction with Shell

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

Symbol: f_cc

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Maximum Hoop Stress in Coil at Junction with Shell

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.

Syntax: sqrt(Number)

Other formulas in Jacketed Reaction Vessel category

Go Required Thickness for Jacket Closer Member with Jacket Width

t rc = 0.886 \cdot w j \cdot \sqrt{\frac{p j}{f j}}

Go Jacket Width

w j = \frac{D ij - OD Vessel}{2}

Go Required Plate Thickness for Dimple Jacket

t j (minimum) = Maximum Pitch \cdot \sqrt{\frac{p j}{3 \cdot f j}}

Go Maximum Hoop Stress in Coil at Junction with Shell

f cc = \frac{p j \cdot d i}{2 \cdot t coil \cdot J coil}

How to Evaluate Maximum Equivalent Stress at Junction with Shell?

Maximum Equivalent Stress at Junction with Shell evaluator 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 evaluate 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 f_e symbol.

How to evaluate Maximum Equivalent Stress at Junction with Shell using this online evaluator? To use this online evaluator for Maximum Equivalent Stress at Junction with Shell, enter Total Axial Stress (f_as), Total Hoop Stress (f_cs) & Maximum Hoop Stress in Coil at Junction with Shell (f_cc) and hit the calculate button.

FAQs on Maximum Equivalent Stress at Junction with Shell

What is the formula to find Maximum Equivalent Stress at Junction with Shell?

The formula of Maximum Equivalent Stress at Junction with Shell is expressed as 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)))). Here is an example- 2E-6 = (sqrt((1200000)^(2)+(2700000)^(2)+(421875)^(2)-((1200000*2700000)+(1200000*421875)+(421875*2700000)))).

How to calculate Maximum Equivalent Stress at Junction with Shell?

With Total Axial Stress (f_as), Total Hoop Stress (f_cs) & Maximum Hoop Stress in Coil at Junction with Shell (f_cc) we can find Maximum Equivalent Stress at Junction with Shell using the 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)))). This formula also uses Square Root (sqrt) function(s).

Can the Maximum Equivalent Stress at Junction with Shell be negative?

No, the Maximum Equivalent Stress at Junction with Shell, measured in Stress cannot be negative.

Which unit is used to measure Maximum Equivalent Stress at Junction with Shell?

Maximum Equivalent Stress at Junction with Shell is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Maximum Equivalent Stress at Junction with Shell can be measured.

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Maximum Equivalent Stress at Junction with Shell Formula

Maximum Equivalent Stress at Junction with Shell Example

Maximum Equivalent Stress at Junction with Shell Solution

Maximum Equivalent Stress at Junction with Shell Formula Elements

Other formulas in Jacketed Reaction Vessel category

How to Evaluate Maximum Equivalent Stress at Junction with Shell?

FAQs on Maximum Equivalent Stress at Junction with Shell

Variable Name