Internal Fluid Pressure Given Longitudinal Stress And Efficiency Of Circumferential Joint Calculator

Formula Used:

\[ P_i = \frac{\sigma_l \times 4 \times t \times \eta_c}{D_i} \]

Longitudinal Stress (σl):

Pascal

Thickness Of Thin Shell (t):

Meter

Efficiency of Circumferential Joint (ηc):

Unitless

Inner Diameter of Cylindrical Vessel (Di):

Meter

Internal Pressure in Thin Shell (Pi):

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1. What is the Internal Pressure Calculation?

The internal pressure in a thin shell is calculated using the formula that relates longitudinal stress, thickness, joint efficiency, and inner diameter. This calculation is essential for determining the pressure that a cylindrical vessel can withstand.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P_i = \frac{\sigma_l \times 4 \times t \times \eta_c}{D_i} \]

Where:

\( P_i \) — Internal Pressure in thin shell (Pascal)
\( \sigma_l \) — Longitudinal Stress (Pascal)
\( t \) — Thickness Of Thin Shell (Meter)
\( \eta_c \) — Efficiency of Circumferential Joint (Unitless)
\( D_i \) — Inner Diameter of Cylindrical Vessel (Meter)

Explanation: The formula calculates the internal pressure based on the longitudinal stress, material thickness, joint efficiency, and vessel diameter.

3. Importance of Internal Pressure Calculation

Details: Accurate internal pressure calculation is crucial for designing safe pressure vessels, ensuring structural integrity, and preventing failures in engineering applications.

4. Using the Calculator

Tips: Enter longitudinal stress in Pascal, thickness in meters, efficiency (0-1), and inner diameter in meters. All values must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is longitudinal stress?
A: Longitudinal stress is the stress produced in the longitudinal direction of a pipe or vessel when subjected to internal pressure.

Q2: How is joint efficiency determined?
A: Joint efficiency is determined by the quality of the weld and is typically provided by engineering standards or testing.

Q3: What units should be used for inputs?
A: All inputs should be in SI units: Pascal for stress, meters for length dimensions, and unitless for efficiency.

Q4: What are typical values for joint efficiency?
A: Joint efficiency typically ranges from 0.6 to 1.0, depending on the welding quality and inspection methods.

Q5: Can this formula be used for thick-walled vessels?
A: No, this formula is specifically for thin-walled vessels where the thickness is small compared to the diameter.