Maximum Hoop Stress In Coil At Junction With Shell Calculator

Maximum Hoop Stress Formula:

\[ f_{cc} = \frac{p_j \times d_i}{2 \times t_{coil} \times J_{coil}} \]

Design Jacket Pressure (p_j):

N/mm²

Internal Diameter of Half Coil (d_i):

Thickness of Half Coil Jacket (t_coil):

Weld Joint Efficiency Factor for Coil (J_coil):

Maximum Hoop Stress (f_cc):

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1. What is 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. It represents the maximum tensile stress that occurs in the circumferential direction at the junction where the coil meets the shell in pressure vessel design.

2. How Does the Calculator Work?

The calculator uses the Maximum Hoop Stress formula:

\[ f_{cc} = \frac{p_j \times d_i}{2 \times t_{coil} \times J_{coil}} \]

Where:

\( f_{cc} \) — Maximum Hoop Stress in Coil at Junction with Shell (N/mm²)
\( p_j \) — Design Jacket Pressure (N/mm²)
\( d_i \) — Internal Diameter of Half Coil (mm)
\( t_{coil} \) — Thickness of Half Coil Jacket (mm)
\( J_{coil} \) — Weld Joint Efficiency Factor for Coil

Explanation: The formula calculates the maximum circumferential stress in a coiled pressure vessel component, accounting for internal pressure, geometric dimensions, and weld joint efficiency.

3. Importance of Maximum Hoop Stress Calculation

Details: Accurate hoop stress calculation is crucial for pressure vessel design and safety assessment. It helps determine if the vessel can withstand internal pressures without failure, ensuring structural integrity and preventing catastrophic failures in industrial applications.

4. Using the Calculator

Tips: Enter design jacket pressure in N/mm², internal diameter and thickness in mm, and weld joint efficiency factor (typically between 0-1). All values must be positive numbers with appropriate units.

5. Frequently Asked Questions (FAQ)

Q1: What is hoop stress and why is it important?
A: Hoop stress is the circumferential stress in a cylindrical pressure vessel caused by internal pressure. It's critical for determining the vessel's ability to contain pressure safely.

Q2: What factors affect maximum hoop stress?
A: Internal pressure, vessel diameter, wall thickness, and weld joint efficiency are the primary factors affecting maximum hoop stress.

Q3: How does weld joint efficiency affect the calculation?
A: Weld joint efficiency accounts for the strength reduction at welded joints, typically ranging from 0.6 to 1.0 depending on weld quality and inspection methods.

Q4: What are typical safety factors for hoop stress calculations?
A: Safety factors vary by industry standards but typically range from 2.0 to 4.0 for pressure vessel design, depending on the application and material properties.

Q5: When should this calculation be used?
A: This calculation is essential for designing and evaluating pressure vessels, heat exchangers, and other cylindrical pressure-containing components in chemical, petrochemical, and power industries.