Hopkinson-Cranz Scaling Law (Cube-Root Scaling Law)

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Equation / Last modified by KurtHeckman on 2017/08/18 13:33
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cataustria.Hopkinson-Cranz Scaling Law (Cube-Root Scaling Law)
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924917cb-113e-11e5-a3bb-bc764e2038f2

The Hopkinson-Cranz Scaling Law Range calculator computes for the Range estimation (R) needed when dealing with ammunition management.

INSTRUCTIONS:  Choose the preferred units and enter the following:

  • (z) Distance Coefficient (see below)
  • (w) Weight of material stored.

Range Estimation: The calculator computes the range (R) in meters.  However, this can be automatically converted into other length units via the pull-down menu.

The Science

Many States use rules based upon the explosives, their quantity, and the distance from the explosive to where people are at risk.  These rules are known as Quantity-Distance (Q-D) criteria, and are based on the approach derived from the Hopkinson-Cranz Scaling Law5 6, which is further amended by a range of coefficients.  It is the basis of much of the work on the estimation of appropriate quantity and separation distances.

Distance Coefficient

Examples of ammunition distance coefficients used in the field:

  •   8.0 - Used to predict separation distances between ammunition process buildings (APB) within an explosive storage area (ESA).
  • 14.8 - Used to predict separation distances between an explosive storehouse (ESH) and a public traffic route with civilian access. 
  • 22.2 - Used to predict separation distances between an explosive storehouse (ESH) and a building inhabited by civilians. 
  • 44.4 - Used to predict separation distances between an explosive storehouse (ESH) and a vulnerable building inhabited by civilians (e.g. a school). 

Resources: