LDTP 77-5 Technical Support Report for Regulatory Action Variations in Tire Rolling Resistance Glenn D. Thompson and Myriam Torres October 1977 Notice Technical support reports for regulatory action do not necessarily represent the final EPA decision on regulatory issues. They are intended to present a technical analysis of an issue and recommendations resulting from the assumptions and constraints of that analysis. Agency policy constraints or data received subsequent to the date of release of this report may alter the recommendations reached. Readers are cautioned to seek the latest analysis from EPA before using the information contained herein. Standards Development and Support Branch Emission Control Technology Division Office of Mobile Source Air Pollution Control Office of Air and Waste Management U.S. Environmental Protection Agency ------- Abstract This paper analyzes the tire rolling resistance data obtained in a recent EPA road load project. Variations in the observed tire rolling resistances were analyzed versus tire type, tire manufacturer, and tire size. The differences between tire types have been previously investi- gated and are generally known. However, the variations by tire size and among manufacturers have not been previously reported. Statistically significant variations were observed for all of the investigated parameters. The difference between the means of the rol- ling resistance coefficients for radial versus bias ply tires was ap- proximately 24 percent. The observed variations among manufacturers were suprisingly large. The range of the variations among the manufac- turers, within the class of radial or bias tires, was greater than the difference between the overall means of these tire types. In the case of radial tires, the range of the variations by tire size was somewhat smaller than the difference between the tire type means, while in the case of bias ply tires, the range of the variations by tire size was about the same as this difference between the tire types. The fuel economy effect of a change in tire types; that is, from bias to radial tires, has been previously reported and is briefly dis- cussed. From these results it is concluded that a 10 percent change in rolling resistance will yield approximately a 2 percent change in the vehicle fuel economy. It is estimated that the fuel economy effect of a low rolling resistance radial tire, versus an average radial tire, is as great as the fuel economy effect of a radial versus bias ply tire. Consequently, there is a very good potential for reduction in national fuel consumption if the use of low rolling resistance radial tires can be promoted. This is particularly attractive since the technology for these tires already exists. In addition, the implementation time for reduction in national fuel consumption by improvements in this area is much shorter than the time required for fuel economy improvements by changes in automotive technology. This would occur because the life expectancy of the tire is much less than the life expectancy of the vehicle, hence tire replacement occurs much more frequently. At the present time, reduction of fuel consumption through optimi- zation of tires cannot be expected to occur since there is no uniform method of rating and reporting tire energy dissipation. The development of a consistent, uniform method of rating and reporting tire energy dissipation over cyclic driving schedules, such as the EPA test sched- ules is recommended. ------- I. Purpose This report presents the variations in tire rolling resistances which were observed during the recent EPA road load project (1)*. The variations are analyzed versus the type of tire construction, the tire manufacturers and the tire size. The fuel economy effects associated with these variations in tire rolling resistances are discussed. II. Background The vehicle tire has a very significant effect on the fuel con- sumption of the vehicle. The vehicle road load, that is the total force required to maintain the vehicle at a constant speed on a level road surface, is the sum of the mechanical rolling frictions of the vehicle chassis, the tire rolling resistance forces and the aerodynamic drag. Below 40. mph, the tire rolling resistances are typically predominate and are approximately constant with speed (2). Because of the large volume of driving conducted below 40 mph, the tire rolling resistance has a very significant effect on the fuel consumption of a vehicle. The rolling resistances of 60 tires were measured during the recent EPA road load project. Because of the fuel economy significance of the tire rolling resistance it was decided to analyze these data and report the conclusions. III. Discussion The discussion is presented in three sections. The first section describes the EPA tire rolling resistance measurements. The results of a statistical analysis of these measurements are presented in the second section. Finally, the fuel economy effects of these results are discussed. A. The Tire Measurements In a recent project to determine vehicle road load, the rolling resistances of approximately 60 sets of tires were measured. These tires were tested, as received, installed on the test vehicles (1). The test vehicles were chosen to approximately represent the sales distribu- tion of current light-duty vehicles. These vehicles are identified in Table 1 of Appendix A, while the tires are identified in Table 2 of Appen- dix A. All tire rolling resistance measurements were conducted on one of the EPA light-duty vehicle electric dynamometers. This dynamometer is a G.E. motor-generator type with a 48" diameter single roll. During these experiments the normal 0-1000 Ib. load cell of the dynamometer was replaced with a more sensitive 0-300 Ib. load cell. Prior to all measurements, the cold tire pressures were adjusted to the inflation pressures recommended by the manufacturer and these pressures were recorded. These pressures are given in Table 5 of Appendix A. * Numbers in parentheses designate references at the end of the paper. ------- -2- The vehicle was placed on the dynamometer, and then the vehicle and dynamometer were warmed up for 30 minutes at approximately 50 mph. After warm up, the torque necessary to motor the dynamometer and vehicle was measured at speeds from 60 to 10 mph in 5 mph decreasing speed intervals. For each measurement, steady state dynamometer speed and torque signals were recorded on a strip chart for a period of approxi- mately 100 seconds. The stabilized values were then read from the strip chart by the dynamometer operator. After the measurements were completed with the full vehicle weight resting on the dynamometer rolls, the vehicle was then lifted until the vehicle tires were just contacting the dynamometer roll. The vehicle tires were considered to be just touching the dynamometer roll if a person could, with difficulty, manually cause the tire to slip on the roll when the roll was locked. With this test configuration "the torque versus speed measurements were repeated as before. These force measure- ments were conducted on both the front and rear axles of the vehicle. During the rear axle measurements the transmission was shifted into neutral. The tire rolling resistances were computed by subtracting the torque measurements obtained when the tire was just contacting the dynamometer roll from the torque measurements obtained with the full axle load on the dynamometer. A scatter plot of the data from one vehicle, after conversion to units of force at the tire-roll interface, is given as an example in Figure 1. The tire rolling resistance generally appeared nearly constant over the observed speed range, with a slight linear increase with increasing speed. Consequently, linear least squares regressions were conducted to yield equations for the tire rolling resistances as a function of the simulated vehicle speed. The coefficients of the regression analyses are given in Table 3 of Appendix A. One purpose of this report is to estimate the fuel economy effect of various tires. This effect will be estimated over the EPA urban and highway driving cycles which are assumed to represent national driving characteristics. Consequently, the tire rolling resistance forces at the mean speeds of each of these driving cycles was considered to be the best single estimate of the performance of the tire over the cycle. These mean speeds are 19.6 and 48.2 mph for the urban and highway cycle respectively. The tire rolling resistance force for approximately each of these speeds, 20 and 50 mph, was computed from the speed dependent coefficients. These forces, representing the measurements obtained on the large single roll dynamometer for each vehicle axle, are presented in Table 4 of Appendix A. The purpose for the original tire data collection was to charac- terize the vehicle experience. Therefore, all tire measurements were conducted on the test vehicle for which the tires were supplied, and at the inflation pressures recommended by the manufacturer of the vehicle. ------- VEHICLE ID: 1001 TEST WEIGHT: 2680LB LU O OC U-S + - VEHICLE FULL HEIGHT X - TIRE DISSIPflTIVE FORCE x • VEHICLE JUST TOUCHING * * * m * 10. 20. SPEED ((M/SEC) 30. Fig. 1 - Example of Force Measurements at the Tire Roll Interface ------- -3- The purpose of this report is to discuss the observed rolling resis- tances and to search for variations by tire type and tire manufacturer. Therefore, in this case it is necessary to remove any vehicle induced variations in the tire rolling resistances. Consequently tire inflation pressure corrections were applied to the measurements to correct to a standard average inflation pressure. Also, all data were converted to estimates of the flat road rolling resistances to minimize any effects of the dynamometer curvature. Finally, the tire rolling resistances were converted to coefficients of tire rolling resistance, in terms of pounds (or newtons) of rolling resistance force per thousand pounds (or newtons) of vehicle weight, to minimize the effects of variations in the weights of the test vehicles. 1. Tire Pressure Correction Effects The rolling resistance measurements conducted in this study were performed at the inflation pressures recommended by the vehicle manu- facturer. To minimize the tire effects of variations in inflation pressure, the rolling resistance forces were corrected to estimates of the rolling resistances at the inflation pressure of 25 psi for non- driving tires and 26 psi for the vehicle driving tires. These pressures were the approximate mean of the observed inflation pressures. The correction factor used, 3%/psi, was obtained from a Calspan Corporation report for DOT (3). Approximately similar results have been reported elsewhere in the literature (4). No recommended inflation pressures greater than 32 psi were observed and generally the pressure correction was for a much smaller variation. The cold tire inflation pressures prior to the test are given in Table 5 of Appendix A. 2. Dynamometer Roll Curvature Correction The dynamometer roll curvature results in a higher measured rolling resistance on the dynamometer than would be observed on a flat road surface. This is particularly important since the roll curvature effect is dependent on the tire size. The total tire rolling resistance force coefficients for each axle were corrected to an estimate of the flat surface force by using the conversion factor (5): where F = the rolling resistance of the tire on a flat road surface F = the rolling resistance of the tire on a cylindrical dyna- mometer surface r = The radius of the tire R = the radius of the dynamometer roll ------- -4- The radii of the tires were determined by measuring the height of the loaded tire, from the contact patch to the top of the tread and dividing by two. Previous experiments at the EPA have shown this tech- nique is a very good simple static measurement of the dynamic rolling radius. Five to ten tires of each tire size were measured and the average of the measured radii for all tires of that size was calculated. These average rolling radii are given in Table 1. The average rolling radius for each tire size was used in the dynamometer curvature correc- tions for all tires of that nominal size. Table 1 Rolling Radii versus Tire Size Nominal Tire Size Average Rolling Radii 12 inches 0.27 m 13 inches 0.28 m 14 inches 0.31 m 15 inches 0.34 m The rolling resistance forces for each axle, after all corrections, are presented in Table 6 of Appendix A. The total corrected tire rolling resistance force for each vehicle was then computed by summing the forces of each axle. The dimensionless rolling resistance coefficient was then computed by dividing this force by the vehicle test weight. The concept of rolling resistance coefficient is useful since the tire dissipative losses are very nearly proportional to the vertical load on the tire (6). For this reason, the tire rolling resistance coefficient is frequently used in the literature for tire comparison. The computed tire-rolling resistance coefficients are presented in Table 7 of Appendix A, as are the total vehicle forces and the vehicle weight. While the rolling resistance coefficient is a dimensionless unit, these coefficients are presented in the more common form of the tire rolling resistance in pounds (newtons) per 1000 pounds (newtons) of vertical load. B. Statistical Analysis of Tire Rolling Resistance Coefficients 1. Tire Type It has been found in past studies, and is generally accepted, that radial tires have lower tire rolling resistance coefficients than bias tires (7). As shown in Table 2 the mean rolling resistance at 20 mph for the radial tires investigated in this study was 7.0 Ib/klb, while the mean coefficient at 20 mph for the bias ply tires was 9.2 Ib/klb. At 50 mph the means were 7.5 Ib/klb and 9.9 Ib/klb for radial and bias tires, respectively. A "t-test" of each difference indicated the rolling resistance coefficient for radial tires was lower than for bias tires at ------- -5- Table 2 Tire Rolling Rsistance Coefficient Means by Tire Type Tire Type Radial Radial Bias Bias Conclusions Test Speed (mph) 20 50 20 50 Number of Vehicles in Sample Mean Rolling Resistance Coefficient Sample Variance 48 48 16 16 6.95 7.52 9.17 9.93 2.85 3.02 2.32 2.38 The rolling resistance coefficient for radial tires is signifi- cantly lower than the rolling resistance coefficient for bias ply tires at both test speeds. The t-test statistics for the difference of the means were 4.66 for the 20 mph data and 4.94 for the 50 mph data. Both were significant at the 99% confidence level. the 99% confidence level for both speeds. These results are graphically displayed in Figure 2. Since tire type strongly influences the rolling resistance coefficient, all subsequent analyses were conducted on radial and bias ply tires separately. 2. Tire Manufacturer The comparison of rolling resistance coefficients by tire manufac- turer was considered an important part of this analysis since such comparisons are not generally available. For each tire type, the mean rolling resistance coefficient at 20 mph and at 50 mph for each tire manufacturer was compared to the grand mean of the corresponding tire type. The calculations are presented in Tables 3 through 6. The plots of each manufacturer's mean and standard deviation (in the cases of more than two observations) are shown in Figures 3 and 4. The variations among tire manufacturers is quite noticeable. In the case of radial tires the range of the variations among manufacturers was greater than the difference between the grand means of radial versus bias types of construction. 3. Tire Size It has been suggested that tire size may have a significant effect on the tire rolling resistance coefficient (8). Consequently, an investigation of the rolling resistance coefficients by tire size was ------- CO 00 CO GO LU O CJ UJ CJ CT I— CO I—» CO LU CC CD O QC (O TIRE TYPE MEflNS O- 20 MPH D- 50 MPH 0 o o D RfiDIRL BIRS TIRE TYPE Fig. 2 - Means of the Tire Rolling Resistance Coefficients by Tire Type. The error bars designate one standard deviation of the data. ------- CO CD _J I co DO U_ U_ UJ O CJ UJ u CE I— co i—i CO LU DC CD O DC MRNUFflCTURER MERNS FOR RflDIflL TIRES O= 20 MPH D= 50 MPH • • > 00 • , (O O D O P O D D O O" 1^ O' n n 0 D O GOODRICH GENERflL GOODYEflR CONTINENTflL SEMPERIT UNIROYflL FIRESTONE MICHELIN TOYO BRIDGESTONE MflNUFflCTURERS Fig 3. - Means of the Radial Tire Rolling Resistance Coefficients by Manufacturer. The error bars designate one standard deviation of the data for those manufacturers where at least three observations occurred. If only one or two observations occurred the plotted symbols designate the observed values. ------- CO •GO _J I CO QQ O C_J LU CJ cr I— CO I—I CO LU DC CD O QC MRNUFflCTURER MERNS FOR BIRS TIRES O* 20 MPH O 50 MPH • T =f (\J i • ' oo D O D D O O 0 0 D O D O GOODRICH GENERflL GOODTEflR CONTINENTflL SEMPERIT UNIROYflL FIRESTONE MICHELIN TOYO BRIDGESTONE MflNUFRCTURERS Fig. 4 - Means of the Bias Tire Rolling Resistance Coefficients by Manufacturer. The error bars designate one standard deviation of the data for those manufacturers where at least three observations occurred. If only one or two observations occurred, the plotted symbols designate the observed values. ------- -6- Table 3 Radials - 20 MPH Test of the Mean Tire Rolling Resistance Coefficient at 20 MPH for each Manufacturer vs. Grand Mean for all Radial Tires at 20 MPH Manufacturer Goodrich Uniroyal General Firestone Goodyear Michelin Continental Toyo Semperit Bridgestone Grand Conclusions Number of Vehicles in Sample 1 8 2 15 9 6 2 3 1 1 48 Mean Rolling Resistance Coefficient 6.511 7. 5. 7. 7. ,583 129 ,733 ,067 6.469 4.123 6.213 3.844 7.214 6.954 Sample Variance 1.391 .448 2.250 2.825 3.141 1.160 2.234 2.845 Z-Stat .260 1.010 -1.513 1.601 .185 -.661 -2.341 -.741 825 -1 .153 Signif. .3974 .1562 .0643 .0548* .4267 .2546 .0096** .2296 .0336** .4392 * The rolling resistance coefficient at 20 mph for Firestone radial tires is significantly larger than the grand mean rolling resistance coefficient for all radial tires at 20 mph (confidence level is slightly less than 95%) ** The mean rolling resistance coefficients for Continental and Semperit are significantly smaller than the grand mean rolling resistance coefficient for all radial tires at 20 mph. ------- -7- Table 4 Bias - 20 MPH Test of the Mean Tire Rolling Resistance Coefficient at 20 mph for each Manufacturer vs. Grand Mean for all Bias Tires at 20 MPH Manufacturer Goodrich Uniroyal General Firestone Goodyear Bridgestone Grand Number of Vehicles in Sample 1 4 2 2 5 2 16 Mean Rolling Resistance Coefficient 8.555 9.249 10.716 10.809 8.587 7.618 9.173 Sample Variance .827 2.712 .405 260 .026 2. 3. Z-Stat -.410 .098 1.396 1.532 -.779 -1.401 Signif. .3409 .4610 .0814 .0628* .2180 .0808 2.136 Conclusions * The rolling resistance coefficient at 20 mph for Firestone is statistically larger than the grand mean rolling resistant coefficient for all bias tires at 20 mph but at a confidence level of at most 93.7%. ------- -8- Table 5 Radials - 50 MPH Test of the Mean Rolling Resistance Coefficient at 50 MPH for each Manufacturer vs. Grand Mean for all Radial Tires at 50 MPH Manufacturer Goodrich Uniroyal General Firestone Goodyear Michelin Continental Toyo Semperit Bridgestone Grand Number of Vehicles in Sample 1 8 2 15 9 6 2 3 1 1 48 Mean Rolling Resistance Coefficient 6.986 8.095 5.483 8.328 7.756 6.821 4. 7. 4. 402 220 369 7.536 7.515 Sample Variance ,397 .902 ,208 ,438 3.325 1.092 .541 3.021 Z-Stat -.301 .905 -1.632 1.632 .377 -.918 -2.499 -.290 -1.792 .012 Signif. .3821 .1827 .0516** .0516* .3531 .1793 .0062** .3859 .0367** .4952 Conclusions * The rolling resistance coefficient at 50 mph for Firestone tires is sig- nificantly larger than the grand mean rolling resistance coefficient for all radial tires at 50 mph. ** The rolling resistance coefficients for General, Continental and Semperit tires at 50 mph are significantly smaller than the grand mean rolling resistance coefficient for all radial tires at 50 mph. (The confidence levels for Firestone and General are slightly less than 95%.) ------- -9- Table 6 Bias - 50 MPH Test of the Mean Rolling Resistance Coefficient at 50 MPH for each Manufacturer vs. Grand Mean for all Bias Tires at 50 MPH Manufacturer Goodrich Uniroyal General Firestone Goodyear Bridgestone Grand Number of Vehicles in Sample 1 4 2 2 5 2 16 Mean Rolling Resistance Coefficient 9.257 9.772 11.174 11.800 9.687 8.066 9.929 Sample Variance .455 2.677 .427 2.386 3.814 2.381 Z-Stat -.422 -.195 1.072 1.660 -.306 -1.580 Signif. .3365 .4227 .1419 .0485* .3798 .0571** Conclusions * The rolling resistance coefficient at 50 mph for Firestone bias tires is statistically larger than the grand mean rolling resistance coef- ficient for all bias tires at 50 mph. ** The rolling resistance coefficient at 50 mph for Bridgestone bias tires is significantly smaller than the grand mean rolling resistance coef- ficient at 50 mph for all bias tires (confidence level is slightly less than 95%). ------- -10- conducted. The rolling resistance coefficients are plotted versus tire size for both radial and bias ply tires in Figures 5 and 6. This information is also presented in Table 7. For each tire type, the means of the rolling resistance coefficients decrease with an increase in the tire size. A paired comparison analysis of variance showed that for the 20 mph coefficients, the only significant decrease was that of the mean for 15 inch bias tires. For the 50 mph coefficients, both the 15 inch bias and radial tires means decreased significantly from the other tire size means. Table 7 Tire Size Effects Tire Type Nominal Sample Mean Rolling Tire Size Size Resistance Coefficient Sample Variance 20 MPH 50 MPH 20 MPH 50 MPH Radial Bias 13 inch 13 inch 12 2 7.46 10.36 8.23 10.89 ,74 ,60 30 16 Radial Bias 14 inch 14 inch 16 10 7.12 9.60 7.65 10.47 01 24 .85 ,90 Radial Bias 15 inch 15 inch 20 3 6.52 7.89 6.97 8.55 1.53 .83 1.50 1.20 Conclusions For each speed and tire type, every pair of the above tire size means were compared to investigate what pairs were significantly dif- ferent from each other at the 95% confidence level. At 20 mph, the mean rolling resistance coefficient of 15 inch bias tires is significantly less than the rolling resistance coefficient for 13 inch bias tires. At 50 mph, the coefficients for both 15 inch radial and 15 inch bias tires are significantly lower than the rolling resistance coef- ficients for other tire sizes. Since tire size appears to have a significant effect on the rolling resistance coefficient it may be questioned if the previous analysis by manufacturer was influenced by tire size effects. That is, a manufacturer might have higher than average tire rolling resistances because no 15 inch tires of that manufacturer were tested. This does not appear to be the case, since only the Firestone rolling resistance coefficient mean was significantly higher than the rolling resistance coefficient mean and numerous 15 inch Firestone tires were included in the sample. ------- TIRE SIZE MEflNS FOR RRDIflL TIRES CO GO _J I CO QQ LU O LU CJ -Z. CE I— CO i— < CO LU DC CD O DE O- 20 MPH D= 50 MPH OJ 00 (O OJ 0 0 D 6 O 0 4- 4- 13" 14" TIRE SIZE 15* Fig. 5 - Means of the Radial Tire .Rolling Resistance Coefficients by Tire Size. The error bars designate one standard deviation of the data. ------- TIRE SIZE MERNS FOR BIHS TIRES 01 GO 01 OQ LU O CJ CJ •z. cr \— CO t—t 01 LU QC CD O QC O = 20 MPH D= 50 MPH CD OJ 6 D 13" 14" TIRE SIZE 15' Fig. 6 - Means of the Bias Tire Rolling Resistance Coefficients by Tire Size. The error bars designate one standard deviation of the data. ------- -11- Likewise, those manufacturers which had lower than average rolling resistance coefficients in one or more categories; General, Continental, Semperit and Bridgestone might have appeared to have lower than average rolling resistance because of a predominance of 15 inch tires by these manufacturers. However, with the exception of Semperit, the tires by these manufacturers included sizes smaller than 15 inches. Therefore, only the Semperit results may be significantly influenced by tire size effects. The tire literature indicates that the rolling resistance of tires decrease as the percentage of remaining tread decreases (9). Since the vehicles were tested as received, tire wear could influence the results. The percent of remaining tread depth could not be recorded since there was'no method to determine the original tread depth. The influence of this effect is believed to be minimal since many of the test vehicles were EPA certification vehicles, volunteered by the manufacturers. These vehicles would have nearly identical accumulated mileage, approx- imately 5000 miles. Most of the remaining vehicles were late model rental vehicles. These vehicles typically had low accumulated mileage, however this parameter was uncontrolled. C. Fuel Economy Effects The previous section demonstrated that variations in rolling resis- tances are observed between different tires. This section will investi- gate the effect these variations in rolling resistances have on vehicle fuel economy. The fuel economy advantages of radial tires have previously been reported in the literature (10). However, these measurements have often been conducted at steady state conditions or over arbitrary transient road routes. While results may have given good indications of the fuel , economy effects of tire variations, the cycles used have not been standardized with respect to national driving patterns. Recently EPA completed a project measuring the effect of radial versus bias ply tires on vehicle fuel economy over the EPA urban and highway driving cycles (11). In this program the fuel economies of six vehicles were measured when these vehicles were equipped with radial and with bias ply tires. Each vehicle was equipped with OEM tires of the type, radial or bias-belted, which were sold as standard equipment for that model. A matched set of tires of the alternate construction type, bias-belted or radial, was acquired to provide a controlled comparison. The alternate sets were furnished for the program by the vehicle manu- facturers. These tires were also OEM tires, made by the same tire manufacturer, with the same load rating, and with the nearest available rolling radius as the standard equipment set. The vehicles and the tires used are identified in Table 1 of Appendix B. ------- -12- These vehicles were operated over the EPA driving cycles on the test track of the Transporation Research Center of Ohio. Fuel con- sumption over these cycles was measured by integrating the fuel flow rate determined by an in-line fuel flow meter. The results of these measurements are given in Table 2 of Appendix B. The estimated changes in the tire rolling resistance experienced by the vehicles are given in Table 3 of Appendix B. In this table the tire on the vehicle was assumed to have the mean rolling resistance coeffi- cient of tires of that type and manufacturer, as given in Tables 3 through 6. Theoretically, the changes in fuel economy should be related to the changes in energy required to drive the vehicle over the cycle and the engine efficiency of the vehicle. The energy required over the cycle is a function of the vehicle weight and aerodynamic characteristics, in addition to the tire rolling resistance coefficient. Also, the engine efficiency characteristics vary. Consequently a uniform change in fuel economy can not be expected based on a change in the tire rolling resis- tance coefficient alone. However, the average percent change in fuel economy, divided by the average percent change in the tire rolling resistance coefficient, gives a sensitivity coefficient which may be considered a "rule of thumb" number for predicting the fuel economy effect expected from a change in the tire rolling resistance coeffi- cient. These computed sensitivity coefficients are given in Table 4 of Appendix B and repeated in Table 8 of the text. As anticipated, the magnitude of the sensitivity coefficient for the low speed urban cycle is greater than the corresponding magnitude of the coefficient for the higher speed highway cycle, however, the difference between the coeffi- cients is very small. Most important from a national average stand-. point, is that both cycle coefficients and the composite coefficients are approximately -0.2. This indicates a 10 percent decrease in the tire rolling resistance coefficient and can be expected to yield a 2 percent increase in the national average fuel economy. Table 8 Average Sensitivity Coefficients Cycle % Change in Fuel Economy % Change in Tire Rolling Resistance Coefficient Urban -0.20 Highway -0.19 Composite -0.19 ------- -13- IV. Conclusion It is concluded that there are significant effects on tire rolling resistance coefficients from: a) tire construction type b) tire manufacturer c) tire size. The average decrease in tire rolling resistance from bias ply tires to radial tires was about 24 percent. This was a difference of about 2.3 pounds(newtons)/kilopound(kilonewtons). The variations among tire rolling resistance coefficients by tire manufacturer, within each tire type were greater than this difference between the means of the tire types. For example, within the radial tire classification the varia- tions among manufacturers were almost 4.0 Ib (nt)/klb (knt). In the case of .bias tires the observed decrease in the rolling resistance coefficients from 13 inch to 15 inch tire sizes was as great as the difference between the means of the rolling resistance coeffi- cients for radial and bias tires. For radial tires, the decrease in rolling resistance coefficients from 13 inch to 15 inch tire was some- what less, about 0.9 lb(nt)/klb(knt). The fuel economy effects of these observed variations in rolling resistance are very significant. Based on the EPA cycles, the use of average radial ply tires versus average bias tires improves fuel economy about four percent. Improvements of a similar size would be expected in transitions from average to low rolling resistance radial tires. Some- what smaller improvements may also be expected if a general transition were made to larger diameter tires. These improvements of about four and two percent in the fuel economy of a typical vehicle represent respective reductions in national average fuel consumption of about four and two billion gallons of gasoline annually (12). V. Recommendations The basic recommendation is to continue investigative efforts in this area. It must be remembered that the data reported here were collected for the purpose of describing the vehicle road experience. Consequently, the tires were tested in the operating condition recom- mended by the vehicle manufacturer. While the data analysis attempts to remove the vehicle dependent effects, it is possible that some vehicle dependence remains. Also, the reported effects of the tire manufacturer and tire size have not been reported elsewhere in the literature. Therefore, these effects should be confirmed. Should these results be confirmed, it would indicate that transi- tions to more fuel conserving tires offers a potential for a significant reduction in national fuel consumption in a relatively short time. The ------- -14- transition time could be short because the technology apparently exists since such tires are already available in the market. The replacement rate for tires is much more frequent than the replacement rate of the vehicle population, thus, the effect of tire improvements on national fuel economy would be seen more quickly than would the the effect of changes in production vehicles. For the most part the transition to radial tires has already occurred, particularly in the OEM market. In 1976 approximately two- thirds of the OEM tires were radial construction. Also, beginning in 1978 the vehicle manufacturer already has the incentive of national fuel economy regulations to choose low rolling resistance tires for this market. Therefore, the greatest potential area for fuel conservation is in the region of replacement tires. This is a very significant area since approximately 73 percent of all tires are sold in this market. Of these tires only about 37 percent are currently radials (13). Transitions to fuel efficient tires in the replacement market, particularly within the category of radial tires, is limited by the amount of information available to the consumer. The average tire purchaser simply does not have the essential rolling resistance infor- mation or the associated fuel economy information available to select a tire on this basis. If fuel economy improvements are to be obtained by consumer selection of low rolling resistance tires, then this essential information must be made available. The evaluation of the rolling resistances of tires should be based on measurements of the energy dissipation of the tire over typical operating conditions. The current EPA driving cycles are the logical beginning for a cyclic tire energy dissipation procedure, therefore, the feasibility of a program based on these cycles should be investigated. ------- -15- Referencea 1. G.D. Thompson, "Light-Duty Vehicle Road Load Determination", EPA Technical Support Report fpr Regulatory Action, December 1976. 2. D.A. Clemming and P.A. Bowers, "Tire Testing for Rolling Resistance and Fuel Economy", Tire Science and Technology, TSTCA Vol. 2, No. 4, November 1974. 3. D.J. Schuring, "Rolling Resistance of Tire Measured under Transient and Equilibrium Conditions on Calspan's Tire Research Facility", Final Report to U.S. Department of Transportation, Office of Systems Development and Technology under contract DOT-TSC-OST-76-9, March 1976. 4. J.D. Walter and F.S. Conant, "Energy Losses in Tires", Tire Science and Technology, TSTCA, Vol. 2, No. 4, November 1974. 5. S.K. Clark, "Rolling Resistance Forces in Pneumatic Tires", Interim Report prepared for the U.S. Department of Transportation, Trans- portation Systems Center under contract DOT-TSC-1031, January 1976. 6. C.W. Floyd, "Power Loss Testing of Passenger Tires", Paper 710576 presented at SAE Mid-Year Meeting, Montreal, Canada, June 1971. 7. D.R. Elliott, W.K. Klamp, and W.E. Kraemer, "Passenger Tire Power Consumption", Paper 710575 presented at SAE Mid-Year Meeting, Montreal, Canada, June 1971. 8. S.K. Clark, R.N. Dodge, "The Influence of Tire Geometry on the Rolling Resistance Efficiency of Commercial Vehicle Tires," Interim Report prepared for the U.S. Department of Transportation, Office of University Research, under contract DOT-OS-50113, September 1976. 9. S.K. Clark, R.N. Dodge, R.J. Ganter, J.R. Tuchini, "Rolling Resis- tance of Pneumatic Tires", Interim Report prepared for the U.S. Department of Transportation, Transportation Systems Center under contract DOT-TSC-316, July 1974. 10. W.B. Crum, R.G. McNall, "Effects of Tire Rolling Resistance on Vehicle Fuel Consumption", Tire Science and Technology, TSTCA Vol. 3, No. 1, February 1975. 11. J.D. Murrel, "Dynamometer and Track Measurements of Passenger Car Fuel Economy Influences", EPA-TAEB report, September 1977. 12. D.B. Shonka, P.O. Patterson, A.S. Loebl, "Transportation Energy Conservation Data Book: Suppliement IV", prepared for Transpor- tation Energy Conservation Division, ERDA, August 1977. 13. C.S. Slaybaugh Ed., "Modern Tire Dealer", January 1977, Rubber/ Automotive Publications Inc., Akron, Ohio. ------- APPENDIX A ------- A-l VEHICLE IDENTIFICATION NUMBER 101 201 301 401 502 601 804 901 1001 1102 1201 1301 1401 1501 1601 1702 1802 1901 2102 2203 2301 2401 2502 2602 2706 2802 2906 3011 3102 3212 3304 3402 3505 3613 3908 4014 4102 4202 4302 4402 4507 4607 4701 4801 4903 5103 5203 5303 5403 5503 5601 5603 5701 5802 6002 6102 6202 6402 6502 6702 6802 6909 8101 8401 MODEL YEAR 1974 1975 1975 1975 1975 1975 1974 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1973 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1975 1976 1975 1975 TABLE 1 TEST FLEET MANUFACTURER Chevrolet Chevrolet Pontiac Pontiac Ford Oldsmoblle American Motors Chevrolet Chevrolet Ford Bulck Buick Buick Buick Chevrolet Ford Ford Buick Mercury Plymouth Buick Buick Lincoln Mercury Toyota Mercury Toyota Saab Ford Tr iumph American Motors Ford Volkswagen Honda Mazda Fiat Mercury Ford Mercury Ford Datsun Datsun Pontiac Oldsmobile Dodge Plymouth Plymouth Plymouth Plymouth Chrysler Pontiac Chrysler Oldsmobile Ford Mercury Ford Ford Ford Ford Ford Ford Volvo Chevrolet Oldsmobile TEST MODEL BODY WEIGHT NAME STYLE (LBS) Impala Sedan 4560 Chevelle Sedan 4100 Firebird Sedan 3640 Ventura Sedan 3520 Pinto Sedan 2800 Cutlass Sedan 4250 Gremlin Sedan 2970 Impala Stationwagon 5250 Vega Sedan 2680 Granada Sedan 3510 Century Sedan 4140 Special Sedan 4020 Skylark Sedan 3720 Apollo Sedan 3910 Monza Sedan 3490 Mustang Mach 1 Sedan 3000 Mustang Sedan 3020 Skyhawk Sedan 3200 Capri II Sedan 2570 Valiant Sedan 3600 LeSabre Sedan 4870 Estate Stationwagon 5590 Continental Sedan 5450 Capri Sedan 2350 Corolla Sedan 2470 Comet Sedan 3320 Celica Sedan 2760 99 Sedan 2710 Mustang Mach 1 Sedan 3320 TR6 Convertible 2650 Pacer Sedan 3330 Maverick Sedan 3320 Rabbit Sedan 2170 CVCC Sedan 1900 RX-3 Stationwagon 2680 128 Sedan 2180 Montego Sedan 4560 Gran Torino Sedan 4570 Marquis Sedan 4990 LTD Sedan 4860 280Z Sedan 3110 B210 Sedan 2310 Lemans Sedan 4230 Cutlass SupremeSedan 4330 Dart Sedan 3610 Valient Custon Sedan 4260 Gran Fury Sedan 4840 Scamp Sedan 3680 Valiant Sedan 3620 New Yorker Sedan 5120 Lemans Sedan 4320 Newport Sedan 4840 Delta 88 Sedan 4770 Granada Sedan 3760 Montego Sedan 4500 LTD Sedan 5020 Torino Sedan 4420 LTD Sedan 5060 Torino Stationwagon 5210 Gran Torino Stationwagon 5000 Gran Torino Sedan 4600 264DL Sedan 3290 Corvette Sedan 3850 Toronado Sedan 5170 ------- A-2 TABLE 2 TIRE DESCRIPTION ID 0101 0201 0301 0401 0502 0601 0804 0901 1001 1102 1201 1301 1401 1501 1601 1702 1802 1901 2102 2203 2301 2401 2502 2602 2706 2802 2906 3011 3102 3212 3304 3402 3505 3613 3908 4014 4102 4202 4302 4402 4507 4607 4701 4801 4903 5103 5203 5303 5403 5503 5601 5603 5701 5802 6002 6102 6202 6402 6502 6702 6802 6909 8101 8401 MANUFACTURER GOODRICH UNIROYAL UNIROYAL GENERAL FIRESTONE FIRESTONE FIRESTONE GOODYEAR GENERAL FIRESTONE UNIROYAL FIRESTONE UNIROYAL UNIROYAL GOODYEAR FIRESTONE FIRESTONE UNIROYAL GOODYEAR GOODYEAR UNIROYAL FIRESTONE MICHELIN CONTINENTAL TOYO FIRESTONE TOYO SEMPERIT MICHELIN MICHELIN FIRESTONE FIRESTONE CONTINENTAL BRIDGESTONE BRIDGESTONE MICHELIN UNIROYAL UNIROYAL MICHELIN FIRESTONE TOYO BRIDGESTONE UNIROYAL GOODRICH GOODYEAR GOODYEAR GOODYEAR GOODYEAR GOODYEAR GOODYEAR UNIROYAL GOODYEAR UNIROYAL FIRESTONE GOODYEAR FIRESTONE FIRESTONE FIRESTONE GOODYEAR GENERAL GENERAL MICHELIN GOODYEAR FIRESTONE TYPE BIAS BIAS BIAS BIAS RADIAL RADIAL BIAS BIAS BIAS RADIAL RADIAL RADIAL RADIAL BIAS RADIAL RADIAL RADIAL RADIAL RADIAL RADIAL RADIAL RADIAL RADIAL RADIAL RADIAL RADIAL RADIAL RADIAL RADIAL RADIAL BIAS RADIAL RADIAL BIAS RADIAL RADIAL RADIAL RADIAL RADIAL RADIAL RADIAL BIAS RADIAL RADIAL BIAS BIAS RADIAL BIAS BIAS RADIAL RADIAL RADIAL BIAS RADIAL RADIAL RADIAL RADIAL RADIAL RADIAL RADIAL RADIAL RADIAL RADIAL RADIAL DESCRIPTION G 78-15 G 78-14 F 78-14 F 78-14 BR78-13 GR78-15 6.45-14 L 78-15 A 78-13 DR78-14 GR78-15 FR78-15 FR78-14 E 78-14 BR78-13 195/70R13 190/70R13 BR78-13 165SR13 DR78-14 HR78-15 LR78-15 230SR15 165SR13 185/70HR13 DR78-14 185/70HR14 165SR15 DR70-13 185SR15 6.95-14 DR78-14 155SR13 6.00S12 155SR13 145SR13 HR78-14 HR78-14 JR78-15 HR78-15 195/70HR14 155/6.1513 GR78-15 GR78-15 D 78-14 D 78-14 LR78-15 E 78-14 E 78-14 JR78-15 GR78-15 HR78-15 H 78-15 FR78-14 HR78-14 HR78-15 HR78-14 LR78-15 HR78-14 HR78-14 JR78-14 185SR14 GR78-15 F JR78-15 ------- A-3 TABLE 3 REGRESSION COEFFICIENTS ID 0101 0201 0301 0401 0502 0601 0804 0901 1001 1102 1201 1301 1401 1501 1601 1702 1802 1901 2102 2203 2301 2401 2502 2602 2706 2802 2906 3011 3102 3212 3304 3402 3505 3613 3908 4014 4102 4202 4302 4402 4507 4607 4701 4801 4903 5103 5203 5303 5403 5503 5601 5603 5701 5802 6002 6102 6202 6402 6502 6702 6802 6909 8101 8401 DRIVING A (NT) 76.182 69.682 76.373 71.451 55.387 68.166 79.993 74.341 76.744 30.407 98.372 46.631 50.241 86.593 39.212 56.213 73.240 53.471 46.485 44.149 89.550 88.606 41.021 37.919 -6.761 27.733 47.383 31.906 69.702 49.000 79.946 64.990 18.437 47.619 46.001 26.975 132.244 85.202 61.592 68.730 62.980 47.277 67.365 69.927 66.040 58.705 47.075 40.020 79.322 56.476 60.255 66.405 76.031 64.147 70.702 87.241 75.627 97.069 69.242 33.696 53.527 47.097 59.739 70.915 B (KG/SEC) 0.635 0.810 0.305 0.289 0.145 0.617 0.730 1.049 0.276 0.708 -0.789 0.676 1.000 -0.608 0.637 0.564 0.297 0.856 0.580 -0.633 0.364 0.995 0.639 0.138 1.540 0.418 0.436 0.328 0.139 0.119 0.798 0.687 0.167 0.175 0.064 0.324 0.505 0.868 0.694 0.506 0.269 0.437 0.672 0.541 0.570 0.575 0.160 1.540 0.533 0.768 0.815 0.658 0.858 0.342 0.482 0.589 0.692 0.420 0.583 0.119 0.768 -0.018 0.907 -0.035 NON-DRIVING A (NT) 114.778 123.098 123.098 115.314 81.985 72.462 100.238 104 . 881 92.313 50.929 91.932 93.828 86.315 123.098 86.202 69.056 74.448 82.243 67.495 21.178 108.010 86.186 76.672 16.797 57.807 100.708 35.769 18.202 92.667 46.007 100.238 108.100 16.797 20.527 53.398 39.645 95.874 135.400 124.442 145.133 59.390 62.766 62.457 86.218 109.712 59.503 122.697 92.273 92.582 119.843 80.086 103.466 129.581 101.203 109.818 117.844 153.439 124.460 124.729 77.671 84.692 62.098 79.239 81.411 B (KG /SEC) 0.597 0.525 0.525 0.412 0.452 0.188 0.538 -0.011 0.216 0.923 0.326 0.235 0.307 0.525 0.715 0.560 0.416 0.583 0.601 1.949 0.097 1.013 -0.123 0.083 0.550 0.367 0.520 0.234 0.377 0.273 0.538 0.305 0.083 0.069 0.280 0.062 -0.696 0.815 0.230 0.059 -0.063 0.139 0.692 0.348 0.603 2.035 -0.073 0.402 0.666 0.985 0.415 0.883 0.808 0.597 -0.190 0.305 0.196 0.548 0.275 0.-170 0.308 0.386 0.363 0.560 ------- A-4 TABLE 4 UNCORRECTED FORCES ID 0101 0201 0301 0401 0502 0601 0804 0901 1001 1102 1201 1301 1401 1501 1601 1702 1802 1901 2102 2203 2301 2401 2502 2602 2706 2802 2906 3011 3102 3212 3304 3402 3505 3613 3908 4014 4102 4202 4302 4402 4507 4607 4701 4801 4903 5103 5203 5303 5403 5503 5601 5603 5701 5802 6002 6102 6202 6402 6502 6702 6802- 6909 8101 8401 20 DRIVING (LBS) 18.403 17.293 17.782 16.644 12.743 16.564 19.450 18.821 17.807 8.259 20.529 11.842 13.305 18.245 10.096 13.771 17.062 13.741 11.616 8.653 20.863 21.919 10.506 8.802 1.575 7.075 11.528 7.832 15.949 11.255 19.577 15.991 4.480 11.057 10.470 6.715 30.745 20.899 15.241 16.468 14.699 11.507 16.495 16.808 15.992 14.353 10.904 12.092 18.904 14.240 15.184 16.251 18.817 15.108 16.863 20.796 18.393 22.666 16.738 7.814 13.577 10.552 15.253 15.872 MPH NON-DRIVING (LBS) 27.003 28.729 28.729 26.752 19.339 16.668 23.616 23.556 21.187 13.305 21.322 21.566 20.021 28.729 20.816 16.650 17.573 19.661 16.381 8.678 24.477 21.411 16.989 3.943 14.101 23.378 9.086 4.562 21.590 10.892 23.616 24.915 3.943 4.753 12.567 9.037 20.154 32.077 28.438 32.746 13.225 14.390 15.432 20.082 25.876 17.467 27.437 21.552 22.152 28.922 18.838 25.035 30.755 23.951 24 . 306 27.105 34.888 29.081 28.593 17.803 19.659 14.736 18.543 19.428 50 DRIVING (LBS) 20.317 19.735 18.702 17.515 13.180 18.425 21.651 21.984 18.640 10.393 18.150 13.880 16.320 16.412 12.016 15.471 17.957 16.322 13.365 6.744 21.961 24.919 12.433 9.218 6.218 8.335 12.843 8.821 16.368 11.614 21.982 18.062 4.984 11.585 10.663 7.692 32.267 23.516 17.334 17.994 15.510 12.824 18.521 18.439 17.711 16.087 11.387 16.735 20.511 16.555 17.641 18.235 21.404 16.139 18.316 22.572 20.479 23.932 18.496 8.173 15.892 10.497 17.987 15.766 MPH NON-DRIVING (LBS) 28.803 30.312 30.312 27.994 20.702 17.235 25.238 23.523 21.838 16.087 22.305 22.274 20.947 30.312 22.972 18.338 18.827 21.419 18.193 14.555 24.769 24.466 16.618 4.193 15.759 24.484 10.654 5.268 22.727 11.715 25.238 25.834 4.193 4.961 13.411 9.224 18.056 34.534 29.131 32.924 13.035 14.809 17.518 21.131 27.694 23.603 27.217 22.764 24.160 31.891 20.089 27.697 33.191 25.751 23.733 28.025 35.479 30.733 29.422 18.315 20.587 15.900 19.638 21.116 ------- A-5 ID 0101 0201 0301 0401 0502 0601 0804 0901 1001 1102 1201 1301 1401 1501 1601 1702 1802 1901 2102 2203 2301 2401 2502 2602 2706 2802 2906 3011 3102 3212 3304 3402 3505 3613 3908 4014 4102 4202 4302 4402 4507 4607 4701 4801 4903 5103 5203 5303 5403 5503 5601 5603 5701 5802 6002 6102 6202 6402 6502 6702 6802 6909 8101 8401 TABLE 5 PRESSURES NON-DRIVING (PSI) 28.0 24.0 26.0 24.0 22.0 26.0 24.0 22.0 24.0 24.0 26.0 32.0 24.0 26.0 30.0 26.0 26.0 24.0 27.0 28.0 24.0 24.0 26.0 27.0 24.0 24.0 24.0 27.0 26.0 20.0 26.0 24.0 27.0 22.7 26.0 24.0 24.0 24.0 26.0 26.0 28.0 24.0 26.0 24.0 28.0 28.0 26.0 28.0 28.0 24.0 26.0 26.0 26.0 24.0 24.0 24.0 24.0 26.0 24.0 24.0 24.0 25.0 20.0 20.0 DRIVING (PSI) 28.0 24.0 24.0 24.0 22.0 26.0 24.0 32.0 26.0 26.0 26.0 32.0 24.0 26.0 32.0 26.0 26.0 26.0 31.0 28.0 24.0 28.0 26.0 31.0 24.0 26.0 24.0 27.0 26.0 24.0 24.0 26.0 27.0 22.7 26.0 26.0 24.0 24.0 26.0 26.0 28.0 24.0 24.0 24.0 28.0 28.0 26.0 28.0 30.0 24.0 24.0 26.0 25.0 24.0 24.0 26.0 24.0 26.0 34.0 32.0 24.0 26.0 20.0 26.0 ------- A-6 TABLE 6 CORRECTED FORCES ID 0101 0201 0301 0401 0502 0601 080A 0901 1001 1102 1201 1301 1401 1501 1601 1702 1802 1901 2102 2203 2301 2401 2502 2602 2706 2802 2906 3011 3102 3212 3304 3402 3505 3613 3908 4014 4102 4202 4302 4402 4507 4607 4701 4801 4903 5103 5203 5303 5403 5503 5601 5603 5701 5802 6002 6102 6202 6402 6502 6702 6802 6909 8101 8401 20 DRIVING (LBS) 16.074 13.659 14.914 13.146 9.600 13.672 15.363 13.724 14.300 6.523 16.944 11.482 10.509 15.302 9.612 11.743 14.549 11.035 10.194 7.680 16.216 17.037 8.671 7.724 1.265 5.588 9.106 6.652 13.600 7.666 16.419 12.631 3.932 8.571 8.928 5.393 24.284 16.507 12.580 13.592 13.046 9.240 13.614 13.064 14.194 12.739 9.000 10.733 16.778 11.068 12.532 13.413 15.531 11.933 13.319 16.165 14.527 18.708 13.220 6.172 10.724 8.592 10.389 10.811 MPH NON-DRIVING (LBS) 22.936 21.990 21.990 20.476 14.090 13.356 18.076 22.273 17.540 10.834 17.086 20.391 15.325 23.393 20.335 13.784 14.548 16.277 15.596 7.491 18.437 18.187 13.614 3.754 10.974 19.036 6.955 3.766 17.874 8.204 18.076 20.288 3.362 3.566 10.404 7.482 15.427 24.553 22.788 26.240 11.415 11.198 11.624 15.127 22.335 15.076 21.985 18.602 20.202 21.785 14.190 20.061 23.905 18.333 18.604 21.720 26.704 23.303 28.870 17.106 15.047 11.999 12.184 15.568 50 DRIVING (LBS) 17.746 15.588 15.685 13.834 9.930 15.207 17.101 16.030 14.969 8.209 14.980 13.458 12.890 13.765 11.440 13.193 15.313 13.107 11.728 5.986 17.070 19.369 10.261 8.089 4.994 6.583 10.144 7.492 13.957 7.910 18.437 14.267 4.374 8.980 9.093 6.177 25.486 18.574 14.306 14.851 13.766 10.298 15.286 14.332 15.719 14.278 9.398 14.854 18.204 12.868 14.560 15.050 17.666 12.748 14.467 17.545 16.175 19.753 14.609 6.456 12.553 8.548 12.252 10.739 MPH NON-DRIVING (LBS) 24.465 23.201 23.201 21.427 15.082 13.810 19.317 22.242 18.079 13.099 17.874 21.061 16.033 24.682 22.441 15.182 15.587 17.732 17.321 12.563 18.657 20.781 13.317 3.992 12.264 19.937 8.155 4.348 18.815 8.824 19.317 21.036 3.576 3.722 11.103 7.636 13.820 26.433 23.343 26.382 11.251 11.524 13.195 15.917 23.904 20.372 21.809 19.648 22.033 24.022 15.132 22.194 25.799 19.710 18.166 22.457 27.157 24.627 29.707 17.598 15.758 12.947 12.903 16.920 ------- A-7 TABLE 7 ROLLING RESISTANCE COEFFICIENTS AND TOTAL ROLLING RESISTANCE FORCES ROLLING ID 0101 0201 0301 0401 0502 0601 0804 0901 1001 1102 1201 1301 1401 1501 1601 1702 1802 1901 2102 2203 2301 2401 2502 2602 2706 2802 2906 3011 3102 3212 3304 3402 3505 3613 3908 4014 4102 4202 4302 4402 4507 4607 4701 4801 4903 5103 5203 5303 5403 5503 5601 5603 5701 5802 6002 6102 6202 6402 6502 6702 6802 6909 8101 8401 TEST WEIGHT (LBS) 4560 4100 3640 3520 2800 4250 2970 5250 2680 3510 4140 4020 3720 3910 3490 3000 3020 3200 2570 3600 4870 5590 5450 2350 2470 3320 2760 2710 3320 2650 3330 3320 2170 1900 2680 2180 4560 4570 4990 4860 3110 2310 4230 4330 3610 3580 4840 3680 3620 5120 4320 4840 4770 3760 4500 5020 4420 5060 5210 5000 4600 3290 3850 5170 TOTAL 20MPH (LBS) 39.010 35.649 36.904 33.622 23.690 27.028 33.439 35.997 31.840 17.357 34.030 31.873 25.834 38.695 29.947 25.527 29.097 27.312 25.790 15.171 34.653 35.224 22.285 11.478 12.239 24.624 16.061 10.418 31.474 15.870 34.495 32.919 7.294 12.137 19.332 12.875 39.711 41.060 35.368 39.832 24.461 20.438 25.238 28.191 36.529 27.815 30.985 29.335 36.980 32.853 26.722 33.474 39.436 30.266 31.923 37.885 41.231 42.011 42.090 23.278 25.771 20.591 22.573 26.379 FORCES 50MPH (LBS) 42.211 38.789 38.886 35.261 25.012 29.017 36.418 38.272 33.048 21.308 32.854 34.519 28.923 38.447 33.881 28.375 30.900 30.839 29.049 18.549 35.727 40.150 23.578 12.081 17.258 26.520 18.299 11.840 32.772 16.734 37.754 35.303 7.950 12.702 20.196 13.813 39.306 45.007 37.649 41.233 25.017 21.822 28.481 30.249 39.623 34.650 31.207 34.502 40.237 36.890 29.692 37.244 43.465 32.458 32.633 40.002 43.332 44.380 44.316 24.054 28.311 21.495 25.155 27.659 RESISTANCE 20MPH (LBS) 8.555 8.695 10.138 9.552 8.461 6.359 11.259 6.857 11.881 4.945 8.220 7.929 6.944 9.896 8.581 8.509 9.635 8.535 10.035 4.214 7.116 6.301 4.089 4.884 4.955 7.417 5.819 3.844 9.480 5.989 10.359 9.915 3.361 6.388 7.214 5.906 8.708 8.985 7.088 8.196 7.865 8.848 5.966 6.511 10.119 7.770 6.402 7.971 10.216 6.417 6.186 6.916 8.267 8.049 7.094 7.547 9.328 8.303 8.079 4.656 5.602 6.259 5.863 5.102 COEFF 50MPH (LBS) 9.257 9.461 10.683 10.017 8.933 6.828 12.262 7.290 12.331 6.071 7.936 8.587 7.775 9.833 9.708 9.458 10.232 9.637 11.303 5.152 7.336 7.182 4.326 5.141 6.987 7.988 6.630 4.369 9.871 6.315 11.338 10.633 3.663 6.685 7.536 6.337 8.620 9.848 7.545 8.484 8.044 9.447 6.733 6.986 10.976 9.679 6.448 9.375 11.115 7.205 6.873 7.695 9.112 8.632 7.252 7.968 9.804 8.771 8.506 4.811 6.154 6.533 6.534 5.350 ------- APPENDIX B ------- B-l Table 1 Fuel Economy Test Vehicles Vehicle and Tire Identification Vehicle Bias Tire Radial Ply Tire 1. 2. 3. 4. 5. 6. AMC Pacer Chevrolet Impala Datsun B-210 Dodge Aspen Station Wagon Ford Granada Ford Pinto Goodyear 6.95 - 14 Goodrich H78 - 15 Bridges tone 155 - 13 Goodyear E78 - 14 Goodyear C78 - 14 Goodyear A78 - 13 Goodyear DR70 - 14 Goodrich HR78 - 15 Toyo 155SR - 13 Goodyear FR78 - 14 Goodyear DR78 - 14 Goodyear BR78 - 13 ------- Table 2 Measured Fuel Economies Urban Fuel Economy Bias Radial Percent Highway Fuel Economy Bias Radial Percent Composite Fuel Economy Bias Radial Percent Vehicle AMC Pacer Chevrolet Impala Datsun B-210 Dodge Aspen SW Ford Granada Ford Pinto Tire 14.4 10.9 24.3 14.2 14.0 18.2 Tire 14.5 12.0 25.1 15.3 13.5 19.0 Improvement 0.7 10.1 3.3 7.8 -3.6 4.4 Tire 18.3 17.2 35.6 19.9 17.8 24.9 Tire Improvement 18.3 18.3 36.8 20.8 18.3 26.0 0.0 6.4 3.4 4.5 2.8 4.4 Tire 15.9 13.0 28.4 16.3 15.5 20.7 Tire 16.0 14.2 29.3 17.3 15.3 21-6 Improvement 0.6 9.2 3.2 6.1 -1.3 -4.4 I N> AVERAGE 3.8 3.6 3.7 ------- Table 3 Estimated Changes in Tire Rolling Resistance During Fuel Economy Measurements Estimated Tire Rolling Resistance Coefficient at 20 mph Bias Radial Percent Estimated Tire Rolling Resistance Coefficient at 50 mph Bias Radial Percent Weighted Average 55/45 Weighting Bias Radial Percent Vehicle AMC Pacer Chevrolet Impala Datsun B-210 Dodge Aspen SW Ford Granada Ford Pinto Tire 8.59 8.56 7.62 8.59 8.59 8.59 Tire 7.07 6.51 6.21 7.07 7.07 7.07 Change -17.7 -24.0 -18.5 -17.7^ -17.7 -17.7 Tire 9.69 9.26 8.07 9.69 9.69 9.69 Tire 7.76 6.99 7.22 7.76 7.76 7.76 Change -19.9 -24.5 -10.5 -19.9 -19.9 -19.9 Tire 9.05 8.86 7.82 9.05 9.05 9.05 Tire 7.36 6.72 6.63 7.36 7.36 7.36 Change -18.7 -24.2 -15.2 -18.7 -18.7 ' 1 -18.7 CJ AVERAGE -18.9 -19.1 -19.0 ------- B-4 Table 4 Average Sensitivity Coefficients Cycle % Change in Fuel Economy % Change in Tire Rolling Resistance Coefficient Urban -0.20 Highway -0.19 Composite -0.19 ------- |