Proc. Fla. State Hart. Soc. 99:122-127. 1986. MECHANICAL AND PHYSICAL PROPERTIES FOR POSTHARVEST HANDLING OF FLORIDA CITRUS William M. Miller University of Florida, IFAS Citrus Research and Education Center 700 Experiment Station Road Lake Alfred, FL 33850 Additional index words, freeze-damage, coefficient of fric tion, surface roughness. Abstract. During a two-season study, data were collected on the following physical properties of Florida citrus: dimensional size, mass, surface roughness, and volume. Coefficient of fric tion values for citrus varieties and various handling surfaces were also determined. Mechanical properties of the fruit in compression and puncture loading were measured. These studies were conducted during 2 yr when freezes (> 4 hr at <2°C) occurred. Therefore, the effects of freeze damage on these physical and mechanical properties were also mea sured. Although the materials handling techniques are wellestablished for citrus (9), physical properties data are lack ing for the design of systems with optimal handling capacities that minimize fruit damage. Any quality degra dations from injuries such as decay may be more prevalent in future systems utilizing mechanical harvesting (8). Sur face injuries allow decay fungi to enter the fruit (3) and abrasive injuries, specifically oleocellosis, are common (15). Certain physical properties of citrus are also indicators of quality. One example is fruit density and its direct re lationship to the severity of freeze damage (14). Another fruit quality attribute is turgidity which is important in re sultant deformation from overfilled cartons and which may be altered by post-harvest treatments such as irradia tion (1). An extensive survey of physical properties data for fruits and vegetables was compiled by Mohsenin (12). Peel strength properties were analyzed for three citrus varieties by Churchill et al. (6). Viscoelastic properties were re ported for creep recovery tests by Sarig and Nahir (13). Gyasi et al. (10) developed a procedure to determine Poisson's ratio for citrus fruit flesh and rind. Gaffney and Baird (7) measured properties relevant to heat transfer for citrus such as rind thickness and moisture content. Chen and Squire (5) determined coefficient of friction for oranges on aluminum, masonite, and plexiglas surfaces. They did not find a relationship between the abrasive in jury level and applied frictional force. The objective of this study was to measure and report on pertinent materials handling properties; dimensional size, mass, surface roughness, mechanical strength (com pression and puncture), and coefficient of friction for Flor ida citrus varieties. This research was conducted over 2 seasons in Florida which included severe freezes. Hence, Florida Agricultural Experiment Station Journal Series No. 7686. SI units are used throughout this manuscript; note that IN = 0.225 lbfand lkPa= 0.145 psi. 122 fruit density and mechanical property changes were also monitored. Materials and Methods Following the nomenclature of Mohsenin (12), a, b, and c dimensions of individual fruit were measured. A toploading balance, 0.1 g resolution, was utilized to determine the mass m while fruit volume VOL-m was established by water displacement. Subsequent calculated properties from these measurements were sphericity, S = (abc)1/3/a density, p = m/V and a calculated volume, VOL-c = it abc/6. Surface roughness of citrus peel was estimated from a 2.5 cm x 1.0 cm circumferential peel section mounted on a motorized table driven horizontally (11). Displacement (maximum, minimum, and average) was determined from 10 equally spaced readings of displacement along the 2.5 cm peel section. Fruit diameter, typically (a + b)/2, at the equator was also measured. Normalized maximum rough ness and a root mean square roughness were computed. Compressive and puncture testing followed the proce dures of ASAE (2) and Churchill et al. (6) using an Instron universal test instrument with a 5kN load cell. Crosshead and chart speed were 200 mm/min. The fruit was de formed between two parallel plates for compressive tests. For puncture tests, the fruit was positioned on a hard cork cylindrical support, 11 cm O.D., 6 cm I.D., having a 45°, 1 cm, interior beveled edge to minimize bottom deflection and rotation of the fruit. For flat-plate contact, maximum force, the stress index, and elastic modulus were calculated with a Poisson's ratio of 0.33 (10) and formulae from ASAE (2). The force re quired to compress the whole fruit to 0.75 of its original diameter was also noted. In the case for puncture, a maximum force was obtained while a modulus of elasticity and an average stress were calculated. A sliding friction table was designed and built to evaluate fruit on 5 surfaces: galvanized sheet metal, unpainted plywood, Teflon, polyvinyl chloride, and UHMW polyethylene. Fruit were prevented from rotating via a topmounted screen plate with a 1 cm nail inserted into each fruit. A horizontally mounted load cell with a 90 N adapter was used to measure the frictional force. Duplicate tests were conducted for each surface. All tests were conducted with citrus fruit that had been hand harvested and washed on a pilot packingline. Except for frictional tests, the fruit were randomly selected from an unsized, non-waxed lot. In the case of friction, fruit of the same dimensional size range were selected to facilitate placement of the screen plate. Most fruit samples were obtained from the Lake Alfred CREC groves. However, both in 1983-84 and 1984-85 seasons, late season, non-fro zen samples were obtained from commercial groves in the southern Indian River citrus growing area of Florida after freezes occurred in the Lake Alfred area. In testing a spe cific variety, 40 fruit were measured for their dimensional characteristic while 20 fruit were tested for mechanical Proc. Fla. State Hort. Soc. 99: 1986. compression and puncture properties. Varieties evaluated for both seasons were: 'Dancy' tangerine, 'Hamlin' orange, 'Marsh' grapefruit, 'Pineapple' orange and 'Valencia' 760 orange. 600 Results and Discussion A summary of the dimensional and mass data has been compiled in Tables 1 and 2. The calculated volumes corre lated highly (R2 > 0.98) with measured volume from dis placement for both seasons but calculated values were less in all cases (Fig. 1). This was also noted in data from Mohsenin (12). For citrus, the measured volume vs. calcu lated volume linear regression yielded a slope of 1.08, in tercept of 4.6, while the Mohsenin compilation had a 1.16 slope with a 4.6 intercept. Sphericity values were lowest for 'Dancy' tangerines, 0.86 to 0.90, while 'Valencia' oranges were nearly spherical, 0.98 to 0.99. 'Valencia' orange with no freeze damage had the high est density, averaging 0.96 and 0.98 for the 1983-84 and 1984-85 seasons, respectively. Density of 'Marsh' grape fruit averaged 0.85 and 0.80 for the 1983-84 and 1984-85 non freeze-damaged samples. The reduced density by de siccation of fruit after freeze damage was evident for the 1983-84 'Hamlin' tests (Table 1) and the 1984-85 'Marsh' grapefruit tests (Table 2). Similar trends for density were reported by Carter and Barros (4) who studied juice yield after freezes of 'Valencia' oranges. In general, such freeze damage occurs at temperatures < -2°C for duration > 4 hr. This condition occurred during both the 1983-84 and 1984-85 seasons. In 1983-84, 8 hr < -2°C (-4.4°C minimum) were experienced and in 1984-85, 18 hr < -2°C (-5.6°C minimum) were encountered. In Table 3, surface roughness estimates were computed based on the maximum-minimum reading and a calculated RMS value over a 2.5 cm peel section. RMS values repre sent the deviation from the average dimensional displace ment. All values were normalized based on the fruit diame- 460 Q UJ CC 300 4.60 + 1.08x CO < R2= 0.906 160 160 300 450 600 750 CALCULATED VOLUME, cm3 Fig. 1. Relationship of measured volume by displacement technique vs. calculated volume based on geometric mean diameter for Florida cit rus varieties. ter, thereby representing surface roughness. Considerable variation was found among samples of a given variety relat ing to such surface blemishes as windscar. The roughness values of the various varieties calculated by either a maximum-minimum or RMS basis were differentiated into two sets by Duncan's multiple range test. A coefficient of friction, fx, was determined for citrus varieties on 5 fixed surfaces with the fruit undergoing a sliding friction. A significant difference was found among Table 1. Dimensional and mass data summary (mean and range), 1983-84 season. Dimension, Variety cm b a c Mass, g Cal. volume cm3 Measured volume cm3 Sphericity Density p (m) (Vol-c) (Vol-m) (S) g/cm3 0.858 0.922 0.771-0.941 0.844-0.979 6.75 6.05-7.85 6.68 5.95-7.85 5.36 4.63-6.10 137.1 101.7-207.7 127.9 93.1-195.2 149.2 109.0-226.5 9.57 8.20-11.00 9.45 8.33 7.98-10.94 7.35-9.50 385.6 253.0-527.0 399.8 251.8-592.3 456.6 296.0-661.0 0.916 0.846 0.869-0.961 Pin. orangey 23Jan.1984 7.26 6.35-8.42 0.797-0.898 7.19 6.30-8.36 6.94 5.75-7.77 175.8 124.1-240.0 191.5 127.8-286.4 209.2 140.0-315.0 0.979 0.900-0.998 0.843 Val. orange** 6 Mar. 1984 3 Apr. 1984 7.14 6.48-7.95 7.03 6.42-7.80 6.89 191.9 6.10-7.70 149.0-252.3 Hamlin orangex 7 Nov. 1983 27Jan.1984Z 6.62 5.75-7.65 6.57 5.70-7.65 6.43 5.45-7.45 106.0-227.5 Hamlin orangey 6 Feb. 1984 6.93 6.86 6.62 136.6 5.95-8.05 5.85-7.95 5.60-7.70 Hamlin orangey 13 Feb. 1984 7.09 7.03 6.25-8.20 6.79 5.85-7.85 142.9 6.25-8.30 Hamlin orangey 5 Mar. 1984 7.23 6.35-8.45 7.10 6.28-8.15 6.85 130.5 Dancy tangerine 12 Dec. 1983 Marsh g'fruit7 27Jan.1984 6.05-8.00 152.0 93.8-183.3 98.9-197.6 81.5-185.6 0.760-0.910 182.2 134.9-248.4 199.4 0.988 153.0-267.0 0.964 0.952-0.998 0.892-1.005 148.8 95.2-226.8 162.2 114.0-243.0 0.984 0.921-1.000 0.938 0.885-0.994 167.3 102.1-258.0 185.3 113.0-283.0 0.974 0.903-0.997 0.746 0.577-0.834 179.1 124.5-279.7 197.8 134.0-305.0 0.976 0.935-0.998 0.736 0.572-0.874 186.2 126.3-288.5 201.8 126.0-296.0 0.976 0.949-0.995 0.655 0.426-0.841 xTwo sample sets were analyzed. yFreeze-damaged; 25-26 December 1983. zFrom Indian River area. Proc. Fla. State Hort. Soc. 99: 1986. 123 Table 2. Dimensional and mass data summary (mean and range), 1983-84 Dimension, cm a Variety b season. Cal. Measured Mass,•g volume cm3 volume cm3 Sphericity Density p (m) (Vol-c) (Vol-m) (S) g/cm3 178.9 117.0-256.0 0.902 0.878-0.928 0.884 0.974 0.941-0.992 0.932 c Dancy tangerine 3 Dec. 1984 7.38 6.50-8.45 7.28 6.35-8.18 5.48 4.69-6.33 157.3 155.8 109.5-208.2 103.6-228.0 Hamlin orange 5 Nov. 1984 7.72 7.21 229.7 170.7-308.9 225.2 160.9-301.1 246.6 6.92-8.52 7.66 6.87-8.52 7.05 6.38-7.92 6.86 203.9 6.05-7.76 190.6 145.8-264.6 181.4 14Jan.1985 7.10 6.40-7.95 132.1-255.8 152.0-274.0 Val. orange" 14 Feb. 1985 7.03 6.21-7.88 6.99 6.86 6.02-7.70 194.2 133.4-252.1 177.9 119.6-247.2 Marsh g'fruity 8 Oct. 1984 10 Dec. 1984 10.06 7.88-11.12 9.94 7.88-11.06 9.14 405.0 203.1-508.8 482.6 Marsh g'fruit* 38 Feb. 1985 10.51 9.30-11.47 10.39 9.03-11.46 419.0 531.5 280.3-550.4 360.4-690.4 Pin. orange 6.11-7.78 6.37-8.20 7.09-9.98 9.22 8.02-10.78 230.5-627.9 180.0-328.0 0.763-0.957 0.908-0.961 0.987 0.960-0.999 0.904-0.966 197.9 0.990 0.984 133.0-264.0 0.967-0.999 0.8886-1.084 510.0 253.0-655.0 0.964 0.798 0.939-0.995 0.726-0.969 600.1 400.0-769.0 0.953 0.917-0.986 0.697 0.622-0.762 0.935 "Freeze-damaged; 21-22 January 1985. yTwo sample sets were analyzed. 7From Indian River area. Table 3. Combined surace roughness (e/d) values for various citrus vari eties (mean and range), 1983-84 and 1984-85 season. Variety Dancy tangerine Marsh grapefruit Max.-min., cm RMS, cm x x Range Range 0.0046 bz 0.0024-0.0071 0.0021 a 0.0009-0.0043 0.00127 b 0.00070-0.00229 0.00060 a Hamlin orange 0.0028 a 0.00034-0.00187 0.00083 ab 0.0003-0.0072 0.00012-0.00241 Pineapple orange 0.0036 ab 0.0009-0.0053 0.00117 ab 0.00029-0.00185 Valencia orange 0.0031 ab 0.0008-0.0055 0.00085 ab 0.00052-0.00202 zMeans with same letters within columns do not differ significantly at 5% level for Duncan's multiple range test. both the surface tested and the citrus varieties (Table 4). As expected, Teflon exhibited the minimal frictional resis tance yielding an average jjl of 0.21 for all varieties. The mean coefficient of friction for 'Dancy' tangerines was higher than other varieties and may be related to surface roughness (Table 3). The lower jjl value for Teflon would merit its use as a surface laminate on shears and in automa tic place packing and film wrapping equipment where fruit lodging occurs. Mechanical properties related to compression and puncture are summarized in Tables 5 and 6. Maximum force levels for both compression and puncture were varied considerably among varieties and after freeze dam age. Maximum force levels for either compression or puncture tests were greatest for 'Marsh' grapefruit and at minimum levels for 'Dancy' tangerines. This behavior would be expected because of both the thin skin and dis tinctly segmented structure for tangerines. Also, peel thickness as a percent of radius is greater for grapefruit Table 4. Coefficient of friction (u,) for citrus varieties on various surfaces, non-rolling condition.2 Surface Variety Unpainted plywood UHMW- Sheet Mean PVC metal Teflon PE 0.22 0.23 0.20 0.36 0.45 a 0.38 0.39 a 0.33 0.37 a 0.19 0.23 0.42 0.36 0.36 a 0.21a 0.37 b Dancy tangerine Marsh grapefruit Hamlin orange Pineapple orange 0.42 0.41 0.45 0.59 0.40 Valencia orange 0.36 0.43 0.38 0.67 0.39 0.43 0.38 0.43 Mean 0.41 btf 0.48 c 0.46 be 0.53 0.46 0.35 a ZF = 45.1 for surfaces (1% level sign.), F = 3.3 for variety (5% level sign.). yMeans with same letters within columns do not differ significantly at 5% level for Duncan's multiple range test. Significant differences (5% level) for the stress index of compression, average stress from puncture and the maximum force in compression were observed. Differ ences between the 2 seasons for mechanical properties of the same variety were not significant at a 5% level for non freeze-damaged samples. A linear correlation coefficient matrix between various properties estimated was compiled in Table 7. Note that maximum compressive force did not correlate highly with other mechanical properties. Hence, maximum compressive force should not be used as an indi cator of fruit turgidity. Relationships of the compression and puncture proper ties to freeze damage were investigated for the 'Hamlin' orange data of 1983-84. The parameters of average stress index and elastic modulus (Fig. 2 and 3) exhibited a marked decline after the freeze. Also, the maximum puncture force vs. time declined but the maximum com pressive force vs. time after freeze damage was unchanged (Fig. 2b). The maximum compressive force may relate to peel strength while the parameters normalized for size and deformation accounted for internal structural integrity. than for oranges or tangerines (7). The R2 values for a linear curve fit between maximum compressive force and density, compressive stress index and density, and compressive-elastic modulus and density were 0.01, 0.93**, and 0.99**, respectively. Corresponding calculated from either the compression or puncture test. values for puncture force v$. density, puncture average Exclusive of freeze damaged fruit, there were highly significant differences (1% level) among varieties for maximum puncture force and the modulus of elasticity 124 Proc. Fla. State Hort. Soc. 99: 1986. Table 5. Compression and puncture properties (mean and range), of Florida citrus, 1983-84 season. Puncture Compression 0 25 Variety Max. force, N N Stress index, kPa Max. force, E,kPa N 1146.3 610.7-1956.9 22.1 16-34 1394.4 1110.2-1813.9 65.8 58-78 205.5 181.3-243.8 573.4-948.0 39.4 25-60 123.3 78.1-187.5 461.6 2292.6 74.2 231.7 1017.0-3662.9 44-105 136.9-326.6 881.3 519.0-1145.5 2273.9 1720.3-3077.2 60.0 36-129 187.5 844.4 112.5-403.1 568.8-1198.9 913.4 635.9-1265.6 36.2 22-52 113.1 67.2-162.5 453.1 293.7 174.6-406.9 860.2 327.9-1106.3 31.3 18-51 286.8 216.3-408.5 831.9 593.6-1283.8 32.8 172.5 125-198 311.6 105-196 Marsh g'fruity 27Jan.1984 409.3 672.4 427.8 315-585 525-845 368.2-529.1 Pin. orangex 23Jan. 1984 236.8 180-365 442.7 270-552 388.7 301.1-518.1 1197.8 360.6 120-480 437.8 293-738 601.8 308.2-895.1 303.4 46-450 365.4 172-542 591.0 436.5-761.6 152.5 362.7 315.2 103-190 305-520 226.2-426.4 160.8 108-220 345.1 250-522 145.8 367.9 193.4-466.7 862.1-1693.4 3 Apr. 1984 27Jan.1984y Hamlin orangex 6 Feb. 1984 Hamlin orange34 13 Feb. 1984 Hamlin orange34 5 Mar. 1984 80-202 248-515 E,kPa 348.4 228.8-653.4 148.5 Hamlin orangew 7 Nov. 1983 kPaxlO 68.9 50.0-106.3 Dancy tangerine 12 Dec. 1983 Valencia orangeyw 6 Mar. 1984 Avg stress, 18-52 726.2 338.6-624.4 276.8-725.2 97.8 393.9 56.3-160.9 256.0-521.4 103.4 56.2-162.5 384.4 160.0-556.0 wTwo sample sets were analyzed. xFreeze-damaged; 25-26 December 1983. yFrom Indian River area. zForce at deformation = 0.25 (R! + R2). Table 6. Compression and puncture properties (mean and range) of Florida citrus, 1984-85 season. Puncture Compression Variety Fo.25* N Max. force, Avg stress, Max. force, N Stress index, kPa E,kPa N kPaxlO 186.3 109-322 287.3 194.0-400.4 1009.4 706.2-1383.5 20.2 11-28 62.6 32.8-85.9 E,kPa 232.7 119.4-355.5 Dancy tangerine 3 Dec. 1984 134.4 Hamlin orange 5 Nov. 1984 384.3 539.1 378-680 561.2 447.4-698.9 1915.2 1514.5-2318.4 77.3 60-107 241.4 868.5 318-460 187.5-334.4 694.2-1135.5 Pin. orange 329.3 379.2 550.3 67.1 209.6 769.9 14Jan.1985 220-428 272-455 446.6-672.8 2095.8 1711.5-2661.4 46-88 145.3-276.6 643.0-913.4 Valencia orangey 14 Feb. 1985 363.1 303-435 412.7 579.7 417.4-741.4 2213.1 65.8 205.5 1437.5-3492.4 44-110 137.5-343.7 810.3 595.9-1133.2 Marsh g'fruitx 8 Oct. 1984 10 Dec. 1984 434.8 340-510 491.1 358.9-588.2 1360.2 1026.5-1832.0 72.8 228.2 179.7-293.8 733.2 584.0-1074.4 Marsh g'fruitw 18 Feb. 1985 208.4 1154.6 1314.6 835.5-1865.6 143.7 109.4-207.8 361.0 930-1360 467.7 296.5-628.2 46.0 118-275 88-185 335-550 1036.7 655-1630 58-94 35-67 276.5-445.6 wFreeze-damaged; 21-22 January 1985. xTwo sample sets were analyzed. yFrom Indian River area. zForce at deformation = 0.25 (R! + R2). stress vs. density, and puncture elastic modulus vs. density were 0.83*, 0.82*, and 0.92**. Summary A Jack of materials handling data for fresh citrus led to a study of pertinent physical properties. For various citrus varieties grown in Florida, dimensional size, mass, surface roughness, coefficient of friction, and mechanical proper ties measurements were made throughout two seasons. Ex perimental techniques were developed to determine sur face roughness and coefficient of friction. The reduction in density known to occur in freeze dam aged 'Hamlin' oranges was highly correlated with mechanProc. Fla. State Hort. Soc. 99: 1986. ical properties other than maximum compressive force. Significant differences were found among varieties in their surface roughness which may account for susceptibility to abrasive injury and subsequent decay. For minimal frictional resistance, Teflon exhibited the lowest coefficient of friction while other plastics were not significantly different from unpainted plywood or sheet metal surfaces. Maximum compressive force did not correlate with other mechanical properties and should not be used as an indica tion of fruit turgidity. Five mechanical parameters: compressive-stress index, compressive elastic modulus, puncture force, puncture stress, and puncture elastic mod ulus, exhibited a significant correlation with density of freeze-damaged 'Hamlin' oranges. 125 Table 7. Matrix of linear correlation coefficients (R) between various mechanical properties for citrus varieties (including freeze-damaged samples). Property Puncture Compression Stress Avg stress index r0.25 Compression 0.45 Fo.25 1 rmax 0.81**z 0.31 1 Stress index 0.95** 0.44 0.90** 0.95** 0.89** 0.03 0.95 0.44 0.89** 0.16 0.90** 1 0.79** 0.78** 0.87** 0.70** E Puncture Avg stress 1.00** 0.94** 1 0.94** 1 E 7**denotes significance at 1% level. 400 z 80 300 £ b ,J 200 u. 100 □ UNDAMAGED ■ FREEZE-DAMAGED 0 50 (1 OCT.) z 60 FREEZE 40 D UNDAMAGED 20 TIME. DAYS 100 ■ FREEZE-DAMAGED 150 50 0 500 1 375 1000 100 TIME, DAYS OCT. x 2 250 750 u. 125 | 3000 O 2000 2 500 ■ FREEZE-DAMAGED 0 4000 FREEZE □ UNDAMAGED 50 (1 OCT.) 150 TIME, DAYS D UNDAMAGED 250 ■ FREEZE-DAMAGED 0 i 4000 FREEZE - UNDAMAGED 1000 3000 FREEZE-DAMAGED (1 OCT.) 50 TIME, DAYS OCT. TIME, DAYS <00 150 2000 FREEZE- D UNDAMAGED 1000 1000 ■ FREEZE-DAMAGED 750 0 1 500 ■ FREEZE-DAMAGED 0 (1 OCT.) 50 100 TIME,DAYS Fig. 3. Puncture parameters (x ± SD) as function of time: (a) maximum force, (b) modulus of elasticity, and (c) average stress for 'Ham D UNDAMAGED 250 OCT. 150 TIME, DAYS Fig 2. Compressive parameters (x ± SD) as function of time: (a) force at 0.25 (a + b), (b) maximum force, (c) modulus of elasticity, and (d) stress index for 'Hamlin' oranges, 1983-84 season. lin' oranges, 1983-84 season. 6. Churchill, D. B., H. R. Sumner, and J. D. Whitney. 1980. Peel strength properties of three orange varieties. Trans. ASAE 23(1):173-176. 7. Gaffney, J. J. and C. D. Baird. 1980. Physical and thermal properties of Florida Valencia oranges and Marsh grapefruit as related to heat transfer. ASAE Paper No. 80-6011. St. Joseph, MI. Literature Cited 1. Ahmed, E. M., F. G. Martin, and R. C. Fluck. 1973. Damaging stresses to fresh and irradiated citrus fruits. J. Food Sci. 38:230-233. 2 ASAE. 1984. Compression tests of food materials of convex shape. ASAE Standard 5368.1. ASAE Standards 1984. St. Joseph, MI. 3. Brown, G. E. 1980. Fruit handling and decay control techniques af fecting quality, p. 193-224. In: S. Nagy and J. A. Attaway (eds.). Citrus nutrition and quality. Amer. Chem. Soc, Washington, D.C. 4. Carter, R. D. and S. M. Barros. 1984. Freeze effects on juice yield and other characteristics of'Valencia' orange and 'Marsh' grapefruit. Proc. Fla. State Hort. Soc. 97:89-91. 5. Chen, P. and E. F. Squire. 1971. An evaluation of the coefficient of friction and abrasive damage of oranges on various surfaces. Trans. ASAE 14:1092-1094. 126 8. Gaffney, J. J., W. M. Miller, and G. E. Coppock. 1976. Citrus fruit injury as related to mechanical harvesting with limb shaker-catch frame system. Proc. Fla. State Hort. Soc. 89:179-182. 9. Grierson, W., W. M. Miller, and W. F. Wardowski. 1985. Packingline machinery for Florida citrus packinghouses. Fla. Coop. Ext. Ser. Bui. 803. Univ. of Fla., Gainesville, FL. 10. Gyasi, S., R. B. Fridley, and P. Chen. 1981. Elastic and viscoelastic Poisson's ratio determination for selected citrus fruits. Trans. ASAE 24(3):747-750. 11. Miller, W. M. 1986. Physical property data for postharvest handling of Florida citrus. Appl. Eng. in Agr. (In press). 12. Mohsenin, N. N. 1970. Physical properties of plant and animal ma terials. Vol. 1. Gordon and Breach, New York, NY. 13. Sarig, Y. and D. Nahir. 1973. Deformation characteristics of'Valen cia' oranges as an indicator of firmness. HortScience 8(5): 391-392. Proc. Fla. State Hort. Soc. 99: 1986.
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