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

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

Calculated Result
27.06 kPa

Peak Side-On Incident Overpressure Delta_P

Peak Side-On Incident Overpressure Delta_P

27.06 kPa

Peak Overpressure Kpa

27.1

Peak Overpressure Psi

3.92

Scaled Distance Z M Per Kg13

5.67

Structural Damage Level

Moderate Damage - Roof Sheeting & Partitions Torn Off

27.06 — kPa

Calculation Breakdown

  1. Applied FormulaComputes scaled blast distance Z and peak side-on overpressure using Kingery-Bulmash / Hopkinson-Cranz blast scaling laws for vapor cloud or solid explosions.Z = \frac{R}{W_{\text{TNT}}^{1/3}}, \quad \Delta P_{\text{side-on}} = \frac{808 \left[1 + \left(\frac{Z}{4.5}\right)^2\right]}{\sqrt{1 + \left(\frac{Z}{0.048}\right)^2}\sqrt{1 + \left(\frac{Z}{0.32}\right)^2}\sqrt{1 + \left(\frac{Z}{1.35}\right)^2}}

TNT Blast Overpressure Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.06.8142027Peak Side-On Incident Overpressure Delta_P

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

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

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

Computes scaled blast distance Z and peak side-on overpressure using Kingery-Bulmash / Hopkinson-Cranz blast scaling laws for vapor cloud or solid explosions.

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

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

Z=RWTNT1/3,ΔPside-on=808[1+(Z4.5)2]1+(Z0.048)21+(Z0.32)21+(Z1.35)2Z = \frac{R}{W_{\text{TNT}}^{1/3}}, \quad \Delta P_{\text{side-on}} = \frac{808 \left[1 + \left(\frac{Z}{4.5}\right)^2\right]}{\sqrt{1 + \left(\frac{Z}{0.048}\right)^2}\sqrt{1 + \left(\frac{Z}{0.32}\right)^2}\sqrt{1 + \left(\frac{Z}{1.35}\right)^2}}

Computes scaled blast distance Z and peak side-on overpressure using Kingery-Bulmash / Hopkinson-Cranz blast scaling laws for vapor cloud or solid explosions.

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

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

Step-by-Step Example Calculation

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

Input Values:

tntMassKg:500
standoffDistanceM:45
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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