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This electronic representation of RAND intellectual property is provided for non- commercial use only. Unauthorized posting of RAND electronic documents to a non-RAND website is prohibited. RAND electronic documents are protected under copyright law. Permission is required from RAND to reproduce, or reuse in another form, any of our research documents for commercial use. For information on reprint and linking permissions, please see RAND Permissions. This report is part of the RAND Corporation research report series. RAND reports present research findings and objective analysis that address the challenges facing the public and private sectors. All RAND reports undergo rigorous peer review to ensure high standards for research quality and objectivity. Research Report Maximizing Throughput at Soft Airfields Christopher A. Mouton PROJECT AIR FORCE www.rand.org $14.95 CORPORATION RR-148-AF Research Report Maximizing Throughput at Soft Airfields Christopher A. Mouton RAND Project AIR FORCE Prepared for the United States Air Force Approved for public release; distribution unlimited The research described in this report was sponsored by the United States Air Force under Contract FA7014-06-C-0001. Further information may be obtained from the Strategic Planning Division, Directorate of Plans, Hq USAF. Library of Congress Cataloging-in-Publication Data is available for this publication. ISBN: 978-0-8330-7865-0 The RAND Corporation is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND’s publications do not necessarily reflect the opinions of its research clients and sponsors. R ® is a registered trademark. © Copyright 2013 RAND Corporation Permission is given to duplicate this document for personal use only, as long as it is unaltered and complete. Copies may not be duplicated for commercial purposes. Unauthorized posting of RAND documents to a non-RAND website is prohibited. RAND documents are protected under copyright law. For information on reprint and linking permissions, please visit the RAND permissions page (http://www.rand.org/publications/ permissions.html). Published 2013 by the RAND Corporation 1776 Main Street, P.O. Box 2138, Santa Monica, CA 90407-2138 1200 South Hayes Street, Arlington, VA 22202-5050 4570 Fifth Avenue, Suite 600, Pittsburgh, PA 15213-2665 RAND URL: http://www.rand.org To order RAND documents or to obtain additional information, contact Distribution Services: Telephone: (310) 451-7002; Fax: (310) 451-6915; Email: [email protected] Preface Aircraft operations on soft fields are limited due to field rutting. Each subsequent aircraft pass, defined as one takeoff and one landing, increases field rutting until the field reaches a point where further aircraft operations are no longer permissible. The ability of aircraft to operate on soft fields is often expressed as a function of aircraft landing weight and the California Bearing Ratio (CBR) of the field, which measures the ability the soil to resist compressive loads. Because soft fields can support only a limited number of takeoffs and landings, it is important to understand how to maximize the cargo throughput at these soft fields. This document shows that there exists an optimum landing weight that allows for maximum cargo delivery. This optimum landing weight is found to be constant and independent of field CBR. This document reports the soft-field operation findings of a larger fiscal year (FY) 2010 RAND Project AIR FORCE study “Support to the Joint Future Theater Lift Analysis of Alternatives.” One of the three objectives of this study was to inform important analytic trade- offs. Understanding the ability of aircraft to operate from soft fields is one of these important trade-offs. This document details the mathematical calculations used to determine the optimum landing weight that allows for maximum cargo delivery. It should be of interest to analysts studying cargo operations in austere locations. The research described in this report was sponsored by Major General Susan Desjardins, AMC/A5/8, Robert M. (Mike) Maxwell, AF/A8X, and Richard K. Hartley, SAF/FMC. The study was performed within the Force Modernization and Employment Program of RAND Project AIR FORCE. RAND Project AIR FORCE RAND Project AIR FORCE (PAF), a division of the RAND Corporation, is the U.S. Air Force’s federally funded research and development center for studies and analyses. PAF provides the Air Force with independent analyses of policy alternatives affecting the development, employment, combat readiness, and support of current and future air, space, and cyber forces. Research is conducted in four programs: Force Modernization and Employment; Manpower, Personnel, and Training; Resource Management; and Strategy and Doctrine. Additional information about PAF is available on our website: http://www.rand.org/paf/ iii Contents Preface ............................................................................................................................................ iii Figures............................................................................................................................................. v Table .............................................................................................................................................. vi Summary ....................................................................................................................................... vii Acknowledgments ........................................................................................................................... x Nomenclature ................................................................................................................................. xi 1. Introduction ................................................................................................................................. 1 Purpose and Organization of This Report .......................................................................................... 2 2. Calculating Optimum Landing Weight ....................................................................................... 3 3. Boeing C-17A Analysis .............................................................................................................. 7 4. Conclusions ............................................................................................................................... 14 References ..................................................................................................................................... 15 iv Figures Figure S.1. Allowable Range of C-17A Landing Weight Given a Total Cargo Delivery Requirement ......................................................................................................................... viii Figure 2.1. Critical Values of Landing Weight and Total Cargo Delivered ................................... 6 Figure 3.1. Curve Fit of C-17A Number of Passes Data ................................................................ 8 Figure 3.2. Layout of Airfield Ground Operations ......................................................................... 9 Figure 3.3. Number of Passes and Payload Capacity as a Function of Landing Weight and CBR for the C-17A ............................................................................................................... 10 Figure 3.4. Total Cargo Delivery as a Function of Landing Weight and CBR for the C-17A ..... 10 Figure 3.5. Allowable Range of C-17A Landing Weight Given a Total Cargo Delivery Requirement .......................................................................................................................... 11 Figure 3.6. Number of C-17A Missions Required to Deliver a Given Amount of Cargo ............ 12 Figure 3.7. Maximum Cargo Deliverable by C-17A to a Field of a Given CBR ......................... 13 v Table Table 2.1. Landing Weights for Various Delivery Requirements .................................................. 5 vi
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