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Depth of Torispherical Head Calculator

Depth of Torispherical Head Formula:

\[ h_o = R_c - \sqrt{(R_c - \frac{D_o}{2}) \times (R_c + \frac{D_o}{2} - 2 \times R_k)} \]

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1. What is Depth of Torispherical Head?

Definition: The depth of a torispherical head is the vertical distance from the base to the crown of the head in pressure vessels or tanks.

Purpose: This calculation is crucial for pressure vessel design, ensuring proper dimensions for manufacturing and structural integrity.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ h_o = R_c - \sqrt{(R_c - \frac{D_o}{2}) \times (R_c + \frac{D_o}{2} - 2 \times R_k)} \]

Where:

  • \( h_o \) — Depth of torispherical head (mm)
  • \( R_c \) — Crown radius (mm)
  • \( D_o \) — Vessel outer diameter (mm)
  • \( R_k \) — Knuckle radius (mm)

Explanation: The formula calculates the depth by considering the geometric relationship between the crown radius, vessel diameter, and knuckle radius.

3. Importance of Torispherical Head Depth Calculation

Details: Accurate depth calculation ensures proper vessel capacity, structural strength, and compliance with pressure vessel design standards.

4. Using the Calculator

Tips: Enter crown radius, vessel outer diameter, knuckle radius, and tolerance percentage (default ±5%). All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical knuckle radius for torispherical heads?
A: The knuckle radius is typically 6% of the crown radius, but must be at least three times the head thickness.

Q2: Why include tolerance in the calculation?
A: Manufacturing tolerances account for variations in fabrication; ±5% is common unless specified otherwise.

Q3: How does head depth affect vessel design?
A: Deeper heads increase vessel volume but may require thicker material to maintain pressure resistance.

Q4: What standards govern torispherical head dimensions?
A: ASME BPVC Section VIII and EN 13445 provide standards for pressure vessel head design.

Q5: Can this calculator be used for elliptical heads?
A: No, elliptical heads use a different geometric formula for depth calculation.

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