Hopkins-Cranz Scaling Law (Weight)

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The Hopkinson-Cranz Scaling Law Weight equation estimates the appropriate weight of explosives that can be stored at a set distance (r) from people and buildings as designated by the Distance Coefficient (z).  This is used when dealing with ammunition management. 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 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).