Cylinder Wall Thickness of Thin Cylinder given Tangential Stress Calculator

Formula Used:

\[ t_w = \frac{P_i \times d_i}{2 \times \sigma_{tang}} \]

Internal Pressure on Cylinder (P_i):

Inner Diameter of Pressurized Cylinder (d_i):

Tangential Stress in Pressurized Cylinder (σ_tang):

Thickness of Pressurized Cylinder Wall (t_w):

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1. What is the Cylinder Wall Thickness Formula?

The formula calculates the required wall thickness for a thin-walled pressurized cylinder based on internal pressure, inner diameter, and allowable tangential stress. It ensures the cylinder can safely contain the internal pressure without failure.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ t_w = \frac{P_i \times d_i}{2 \times \sigma_{tang}} \]

Where:

\( t_w \) — Thickness of pressurized cylinder wall (m)
\( P_i \) — Internal pressure on cylinder (Pa)
\( d_i \) — Inner diameter of pressurized cylinder (m)
\( \sigma_{tang} \) — Tangential stress in pressurized cylinder (Pa)

Explanation: This formula is derived from the thin-walled pressure vessel theory, where the hoop stress (tangential stress) is the primary stress component that determines the required wall thickness.

3. Importance of Cylinder Wall Thickness Calculation

Details: Accurate wall thickness calculation is crucial for designing safe and efficient pressure vessels. It ensures structural integrity while minimizing material usage and cost.

4. Using the Calculator

Tips: Enter internal pressure in Pascals, inner diameter in meters, and tangential stress in Pascals. All values must be positive and non-zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a thin-walled cylinder?
A: A cylinder is considered thin-walled when the wall thickness is less than about 1/10 of the radius. The formula is most accurate for such cylinders.

Q2: How does internal pressure affect wall thickness?
A: Higher internal pressure requires thicker walls to withstand the increased stress and prevent failure.

Q3: What is tangential stress?
A: Tangential stress (hoop stress) is the stress acting circumferentially around the cylinder, perpendicular to the longitudinal axis.

Q4: Are there limitations to this formula?
A: This formula is valid only for thin-walled cylinders under internal pressure. For thick-walled cylinders, more complex formulas are required.

Q5: What safety factors should be considered?
A: Engineering designs typically include safety factors to account for material variations, manufacturing tolerances, and unexpected load conditions.