Inner Diameter of Boiler given Thickness of Welded Boiler Shell Calculator ±5%

Inner Diameter Formula:

\[ D_i = \frac{t \times 2 \times \sigma_b}{P_i} \]

Thickness of Boiler Wall:

Tensile Stress in Boiler Butt Weld:

Internal Pressure in Boiler:

Inner Diameter of Boiler: m

1. What is Inner Diameter of Boiler Calculator?

Definition: This calculator determines the inner diameter of a boiler based on wall thickness, tensile stress in the weld, and internal pressure.

Purpose: It helps engineers design boiler shells with appropriate dimensions to withstand internal pressures.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ D_i = \frac{t \times 2 \times \sigma_b}{P_i} \]

Where:

\( D_i \) — Inner diameter of boiler (meters)
\( t \) — Thickness of boiler wall (meters)
\( \sigma_b \) — Tensile stress in boiler butt weld (Pascals)
\( P_i \) — Internal pressure in boiler (Pascals)

Explanation: The formula calculates the maximum inner diameter that can safely contain the given pressure based on material strength and wall thickness.

3. Importance of Boiler Diameter Calculation

Details: Proper diameter calculation ensures boiler safety, prevents catastrophic failures, and meets engineering standards.

4. Using the Calculator

Tips: Enter wall thickness (default 0.03m), tensile stress (default 105 MPa), and internal pressure (default 4.5 MPa). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why is there a ±5% tolerance?
A: The tolerance accounts for material variations, manufacturing tolerances, and safety factors.

Q2: What's a typical boiler wall thickness?
A: Common thickness ranges from 10-50mm depending on boiler size and pressure, with 30mm being typical for medium-pressure boilers.

Q3: How does pressure affect the diameter calculation?
A: Higher pressures require either thicker walls or smaller diameters to maintain structural integrity.

Q4: What material properties affect tensile stress?
A: Material grade, temperature, and weld quality all influence the allowable tensile stress.

Q5: Is this calculation applicable to all boiler types?
A: This applies specifically to cylindrical boiler shells with butt welds. Other designs may require different calculations.