Internal Diameter Of Vessel Given Longitudinal Stress And Efficiency Of Circumferential Joint Calculator

Formula Used:

\[ Di = \frac{\sigma l \times 4 \times t \times \eta c}{Pi} \]

Longitudinal Stress (σl):

Thickness Of Thin Shell (t):

Efficiency of Circumferential Joint (ηc):

(0-1)

Internal Pressure in Thin Shell (Pi):

Inner Diameter of Cylindrical Vessel (Di):

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1. What is the Inner Diameter Calculation Formula?

The formula calculates the inner diameter of a cylindrical vessel based on longitudinal stress, shell thickness, joint efficiency, and internal pressure. This is essential for pressure vessel design and structural integrity analysis.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Di = \frac{\sigma l \times 4 \times t \times \eta c}{Pi} \]

Where:

\( Di \) — Inner Diameter of Cylindrical Vessel (m)
\( \sigma l \) — Longitudinal Stress (Pa)
\( t \) — Thickness Of Thin Shell (m)
\( \eta c \) — Efficiency of Circumferential Joint (0-1)
\( Pi \) — Internal Pressure in Thin Shell (Pa)

Explanation: The formula relates the vessel's internal diameter to the stress parameters and material properties, ensuring safe operation under internal pressure.

3. Importance of Vessel Diameter Calculation

Details: Accurate diameter calculation is crucial for pressure vessel design, ensuring structural integrity, safety compliance, and optimal performance under operating conditions.

4. Using the Calculator

Tips: Enter all values in consistent units (Pa for pressure/stress, m for dimensions). Ensure efficiency values are between 0 and 1. All input values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is longitudinal stress in pressure vessels?
A: Longitudinal stress is the stress acting along the length of the vessel caused by internal pressure, calculated as (P×D)/(4×t) for thin-walled cylinders.

Q2: How does joint efficiency affect the calculation?
A: Joint efficiency accounts for the strength reduction due to welded joints, with values typically ranging from 0.65 to 1.0 depending on joint type and inspection.

Q3: What are typical thickness values for pressure vessels?
A: Thickness varies widely but typically ranges from 5mm to 50mm for most industrial pressure vessels, depending on pressure and material strength.

Q4: When is this formula applicable?
A: This formula is valid for thin-walled pressure vessels where the thickness is less than about 1/10 of the radius.

Q5: What safety factors should be considered?
A: Engineering codes typically require safety factors of 3-4 on yield strength and additional factors for corrosion allowance and manufacturing tolerances.