Maximum Deflection of Corroded Plate Thickness Calculator

Deflection Formula:

\[ \delta_s = \frac{\alpha \cdot p_{hydrostatic} \cdot l^4}{E \cdot (p_t - c)^3} \]

Constant for Maximum Deflection:

Hydrostatic Pressure:

N/mm²

Longer Side of the Tank:

Modulus of Elasticity:

N/mm²

Plate Thickness:

Corrosion Allowance:

Maximum Deflection: mm

1. What is Maximum Deflection of Corroded Plate Thickness?

Definition: This calculator estimates the maximum deflection of a corroded plate under hydrostatic pressure, considering material properties and dimensions.

Purpose: It helps engineers determine the structural integrity of plates in tanks or vessels that have experienced corrosion.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \delta_s = \frac{\alpha \cdot p_{hydrostatic} \cdot l^4}{E \cdot (p_t - c)^3} \]

Where:

\( \delta_s \) — Maximum deflection (mm)
\( \alpha \) — Constant for maximum deflection (dimensionless)
\( p_{hydrostatic} \) — Hydrostatic pressure (N/mm²)
\( l \) — Longer side of the tank (mm)
\( E \) — Modulus of elasticity (N/mm²)
\( p_t \) — Plate thickness (mm)
\( c \) — Corrosion allowance (mm)

Explanation: The formula calculates deflection based on pressure, material stiffness, and the effective thickness after accounting for corrosion.

3. Importance of Deflection Calculation

Details: Proper deflection estimation ensures structural safety, prevents failure, and helps in maintenance planning for corroded structures.

4. Using the Calculator

Tips: Enter all required parameters with their appropriate units. Default values are provided for reference. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical value for the constant (α)?
A: The constant is typically 3 for simply supported plates, but varies with boundary conditions.

Q2: How does corrosion affect deflection?
A: Corrosion reduces effective plate thickness, significantly increasing deflection under load.

Q3: What's a typical modulus of elasticity for steel?
A: For carbon steel, E is typically around 200,000 N/mm² (varies by alloy).

Q4: How accurate is this calculation?
A: This provides theoretical maximum deflection; actual values may vary ±5% due to material variations.

Q5: When should I be concerned about deflection?
A: When deflection exceeds design limits or causes functional problems (leakage, instability).