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Explosion Blast Wave Peak Overpressure & TNT Equivalent Mass (Hopkinson-Cranz) Calculator

Easily calculate and compute explosion blast wave peak overpressure & tnt equivalent mass (hopkinson-cranz) calculator with accurate equations, live formulas, and expert guidance.

Mass of explosive material.

TNT = 1.0; RDX = 1.6; C4 = 1.34; Propane cloud ≈ 0.10 to 0.20.

Distance from explosion center.

Calculated Result
2.3 kPa

Overpressure (ΔP)

Overpressure (ΔP)

2.3 kPa

Peak Incident Overpressure Kpa

2.3

Peak Overpressure Psi

0.3

Scaled Distance Z

6.39

Equivalent Tnt Mass Kg

60

2.3 — kPa

Calculation Breakdown

  1. Applied FormulaCalculates the Hopkinson-Cranz scaled blast distance (Z), equivalent TNT charge mass, peak incident overpressure (kPa/psi), and structural damage levels from explosion shock waves.Z = \frac{R}{W_{\text{TNT}}^{1/3}}, \quad \Delta P_s \approx \frac{0.084}{Z} + \frac{0.27}{Z^2} + \frac{0.84}{Z^3} \text{ (bar)}

Blast Overpressure (Hopkinson) Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.61.11.72.3Overpressure (ΔP)

What Is the Explosion Blast Wave Peak Overpressure & TNT Equivalent Mass (Hopkinson-Cranz) Calculator?

This tool computes explosion blast wave peak overpressure & tnt equivalent mass (hopkinson-cranz) calculator with high precision arithmetic.

How Does the Explosion Blast Wave Peak Overpressure & TNT Equivalent Mass (Hopkinson-Cranz) Calculator Work?

Calculates the Hopkinson-Cranz scaled blast distance (Z), equivalent TNT charge mass, peak incident overpressure (kPa/psi), and structural damage levels from explosion shock waves.

Explosion Blast Wave Peak Overpressure & TNT Equivalent Mass (Hopkinson-Cranz) Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Z=RWTNT1/3,ΔPs≈0.084Z+0.27Z2+0.84Z3 (bar)Z = \frac{R}{W_{\text{TNT}}^{1/3}}, \quad \Delta P_s \approx \frac{0.084}{Z} + \frac{0.27}{Z^2} + \frac{0.84}{Z^3} \text{ (bar)}

Calculates the Hopkinson-Cranz scaled blast distance (Z), equivalent TNT charge mass, peak incident overpressure (kPa/psi), and structural damage levels from explosion shock waves.

How to Use the Explosion Blast Wave Peak Overpressure & TNT Equivalent Mass (Hopkinson-Cranz) Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Explosion Blast Wave Peak Overpressure & TNT Equivalent Mass (Hopkinson-Cranz) Calculator Example

Input Values:

explosiveMassKg:50
tntEquivalenceFactor:1.2
standoffDistanceMeters:25
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required kPa.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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