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Food Science and Quality Management                                                                     www.iiste.org
ISSN 2224-6088 (Paper) ISSN 2225-0557 (Online)
Vol 4, 2012


    Strength Parameters of Packaged Roma Tomatoes at Bioyield
                   under Compressive Loading
                                           F.A. Babarinsa1* and M. T. Ige2
              1. Nigerian Stored Products Research Institute, P.M.B. 1489, Ilorin. Nigeria.
              2. Department of Agricultural and Environmental Engineering, Obafemi Awolowo University.
              Ile-Ife, Nigeria.
             *E-mail of corresponding author: fababarinsa@yahoo.com

Abstract
Compression test was conducted on packaged Roma tomatoes to study the effects of stage of ripeness, level of
vibration and container type on load, deformation and stress at bioyield point of the fruit. Tomatoes harvested at
three stages of ripeness: unripe (5.6 Brix %), half-ripe (3.9 Brix %), and full-ripe (3.2 Brix %), were packed in
plastic crate and raffia basket and were subjected to three levels of vibration: non-vibrated, low vibration
(frequency 3.7 hz) and high-vibration (frequency 6.7 hz). The tomatoes were then compressed at a loading rate
of 2.50 mm/min-1 in a Testometric Universal Testing Machine. Data obtained directly from computer printout
were statistical analyzed using the SPSS 110 software package. Load and stress at bioyield decreased
significantly (P=0.05) with advances in ripeness stage of the fruit. of increasing vibration significantly (P=0.05)
increased deformation at yield and also reduced load and stress at bioyield.
Keywords: Roma tomato, Packaging, Mechanical damage, Strength parameter, Bioyield, Ripeness, Vibration,
Universal Testing Machine

1. Introduction
Tomato (Lycopersicon esculentum Mill.) is a major vegetable crop grown in Nigeria and the Roma variety is
highly favoured in commercial production and transportation in the country. The variety is widely grown in the
northern part of Nigeria and is usually bulk packaged in raffia woven baskets for transportation, by road, to the
southern parts using commercial trucks. Considerable mechanical damage is inflicted, due to compression, to the
packaged fruits in the distribution system (Babarinsa & Nwangwa, 1987, Okhuoya, 1995 and Daramola, 1998).
This contributes substantially to the huge postharvest losses suffered by the tomatoes in the country. The
strategic reduction of this aspect of losses requires improvement to the packaging method with a clear
understanding of the behavior of the delicate tissues under externally applied forces. As noted by Rorbertson
(2006), modern packaging of fresh horticultural produce is expected to meet a wide range of requirements,
including the prevention of mechanical damage resulting from compression.
      Mohsenin (1986) reported that, in intact fruits and vegetables, mechanical damage is usually initiated
through a rupture in the internal or external cellular structure of the material. He recalled that at bioyield point,
cells start to rupture or move with respect to their neighbors. Hence, relating externally applied forces to the
initial disruption of the cellular structure of a packaged fruit calls for a clear understanding of the strength
parameters at bioyield point. Bioyield behavior of the fruit under compressive loading characterizes the
microstructural (cellular) disintegration of its vegetable tissues in packaging during transportation. Deformation
at bioyield, which weakens the cell walls and the forces binding cells together, has been attributed to weak
ruptured cells by (Okhuoya 1995 and Daramola 1998). Typically, bioyield does not show an immediate external
symptom for mechanical damage in tomatoes (McColloch, 1962) but causes permanent (irreversible)
deformation at the cellular level. It particularly encourages breakdown of cell structure, with loss of firmness, by
allowing breakdown of polymeric carbohydrates, especially pectic substances. The resulting internal damage
often degenerates into tissue disintegration, external fracture and other forms of mechanical damage which
eventually leads to physiological disorder and greatly reduce fruits shelf life. Determination of bioyield
deformation and measurements of strength parameters in fruits often involves a study of force-deformation
behavior under compression (Burkner & Kinch. 1967). This approach has been justified for fresh tomato fruits
on the ground that the fresh tomato is usually subjected to mechanical forces in packaging.
      Mechanical behavior of a compressed material at bioyield can be expressed in terms of strength parameters
such as of maximum sustainable load, resultant deformation and maximum sustainable stress (Vursavus &
Ozguven 2004, Mencarelli et al., 2005). This provides a basis for predicting the occurrence of mechanical
damage under an applied force.
      This study investigated the effects of stage of fruit ripeness, level of vibration and packaging container on
strength parameters (load, deformation and stress) at bioyield of packaged Roma tomatoes under compressive


                                                        16
Food Science and Quality Management                                                                   www.iiste.org
ISSN 2224-6088 (Paper) ISSN 2225-0557 (Online)
Vol 4, 2012

loading.
2. Materials and Method
2.1 Experimental Plant Material
Tomatoes of the Roma variety were hand-harvested from a local market farm in Ilorin suburb at three stages of
maturity. These were transported to the Engineering Material Testing Laboratory at the National Center for
Agricultural Mechanization (NCAM), Ilorin. Wholesome fruits were sorted for reasonable uniformity into shape
and size range of 2.5 to 3.0cm.
     Stages of tomato ripeness were first determined subjectively by skin colour as (i) unripe (mature
green/breaker or green pink, consisting of the first point of skin colour change from complete green to about
30% pink), (ii) half-ripe, consisting of 30-70% pink to red skin and (iii) the ripe, consisting of 70-100% red skin
but still firm, These are identical to skin colour levels depicted as 1, 5 and 9 on the recommended tomato colour
chart of the Organisation de Cooperation et de Development Economiques, Paris (Thompson, 2003). The
ripening stages are also equivalent to colour levels 2, 4 and 6 on another chart presented by McGlasson et al.
(1985).
     The ripeness stages were further evaluated objectively by measuring the total soluble solids (as Brix %) in
the undiluted juice of samples of the tomato fruit. The digital hand-held refractometer (ATAGO® PAL-1 No.3810)
used had an automatic internal temperature compensation feature, a measurement resolution of Brix 0.1% and
accuracy of Brix ±0.2%. Approximately 0.3ml of the tomato samples, blended to a uniform juice, were placed on
the prism of the digital refractometer. The total soluble solids content (in Brix %), measured in triplicates, were
5.6, 3.9 and 3.2 for the unripe, half- ripe and full ripe stages respectively.

2.2 Packaging containers
The two packaging containers used are plastic crate and raffia basket. The plastic crate (manufactured by Shongai
Packaging Industries Ltd) has been recommended by the Nigerian Stored Products Research Institute for
packaging tomatoes for road transportation in Nigeria (NSPRI, 1990). It is similar to the nest/stack type
described by Thompson (2003). The crate has total external dimensions of 60cm x 40cm x 25cm high and is
capable of holding 25kg of tomato fruit. The basket is the traditional hand-woven raffia type extensively used in
road transportation of tomatoes in Nigeria. It is 30cm deep and 43cm in diameter, capable of holding 20kg of
tomato fruit. Both containers are adequately ventilated and are strong to resist failure by buckling.

2.3 Experimental design
A 2 x 32 factorial experiment was conducted to study the effect of three ripening stages, three vibration levels
and two containers on load, deformation and stress at bioyield point of Roma tomatoes under compressive
loading.

2.4 Vibration treatment
A laboratory mechanical vibrator, a Gallenhamn Orbital Shaker (App. No 9B 3742 E), was used to vibrate the
packaged tomatoes in their respective containers (plastic crate and raffia basket) while being carried on the
vibrator’s platform. The carriage platform is fitted internally with oscillating cams that vibrate the platform,
thereby imparting oscillation at the variable speed of 0-400 rev/min. Vibration, designated either as low-level or
high level, was applied at fixed frequencies of oscillation, 3.5 and 6.7 Hz respectively, by setting the operating
speed at 200 or 400 rev/min for duration of 60 minutes.

2.5 Compression test
Compression tests were conducted with the Testometric Universal Testing Machine (UTM), (manufactured by
Testometric Co. Ltd. UK), with a force exerting capacity of 50kN. The functional components of the testing
machine include the load frame, load cell, crosshead, control console and a printer. It was installed in the
Engineering Material Testing Laboratory of the National Center for Agricultural Mechanization (NCAM),
Ilorin.
      The compression test was conducted in triplicates by mounting and compressing the tomatoes in the loading
space of the UTM. A pair of rigid plates of 1.27cm thick plywood was used as the force-transmitting devices,
one as bottom support and the other as top loading device for the fruit. Loading rate (crosshead speed) of 2.50
mm/ min was applied as recommended by Mohsenin (1986). The electronic computing unit of the UTM was set
to measure selected strength parameters (load, deformation and stress) at bioyield of the compressed tomatoes.
Data sheets of measured values and load-deformation plots were obtained directly as produced with the aid of a
PC.


                                                       17
Food Science and Quality Management                                                                     www.iiste.org
ISSN 2224-6088 (Paper) ISSN 2225-0557 (Online)
Vol 4, 2012

2.6 Statistical Analysis
Data collected from compression test runs were subjected to statistical analysis using randomized complete
block design based on a 32x2 factorial experiment. Statistical analysis was carried out using Statistical Package
for Social Sciences (SPSS 110 software package). Treatment means were compared using Duncan’s Multiple
Range Test (P< 0.05).

3. Results and Discussion
3.1 Load-deformation curves
Typical compression load-deformation curve generated for the compressed tomatoes is shown in Figure 1. The
curves generally showed sharp peaks after the elastic deformation at the end of each compression. Bourne (2002)
made similar observation with Instron generated curves which show sharp peaks at the end of each compression,
rather than rounded peaks like those yielded by the General Foods Texturometer. Fellows (2009), while
considering idealized and typical load-deformation curves for various foods, attributed the observed behavior in
compression to soft, weak brittle materials. He particularly noted that the point of maximum force or rupture
could also occur at bioyield point. This, thus, explains why in curves such as that in Figures 1, bioyield point
may not be distinguishable from rupture point.

3.2 Statistical Analysis
Results of analysis of variance of the compression tests for determination of load, deformation and stress at
bioyield, are as presented in Tables 1 to 3 respectively, showing the effects of ripeness, vibration and container.
The Tables revealed vibration level had significant effects on load at bioyield and deformation at bioyield (at P =
0 005) while stage of ripeness shows significant effects on load at bioyield and deformation at bioyield (at P =
0.05). The effects of container were not significant on any of the treatments. The two-factor interactions were not
significant (P=0.05) on the strength parameters. The analysis also indicated that Vibration*Container interaction,
with F-value 1962, was also the most important two-factor interaction on stress at bioyield (with F-value 1962),
load at bioyield and stress at bioyield (with F-value 0.785). Effects between the subject three factors
(Ripeness*Container*Vibration) were not significant for all strength parameters at bioyield.

3.3 Effects of stage of ripeness
Stage of ripeness had highly significant (p = 0.001) effects on stress at bioyield (Table 3) while having
significant (p=0.005 level) effects on load at bioyield. The effects of ripeness were, however, not significant for
deformation at yield (Table 2). The statistical analysis of variance means and differences among the three stages
of ripeness tested during the compression testing are presented in Table 4. Load at bioyield as well as stress at
bioyield of Roma tomato reduced with advancing stages of ripeness. This can be attributed to the reduction of
turgor in tomatoes during ripening as noted by Shackel et al., (1991) Tong et al., (1999) and De Belie et al.,
(2000). Shackel et al., (1991) observed that this reduced stressing of the cell wall in intact tomato (variety
"Castelmart") fruit., When such tissues are subjected to compressive loads, higher turgor tends to make the cell
more brittle, and fail at a lower force (Lin & Pitt, 1986; Tu, et al., 2000).. This, perhaps, is why Schouten et al.
(2007) stated that mechanical damage results in immediate loss in cell wall only in the riper fruit of tomato. This
is also supported by findings of Garcia et al. (1995) who noted that mechanical stresses in the tissues were higher
in turgid fruit. The two modes of structural feature, which initiate the failure of the cellular conglomerate - the
tension failure of the cell walls and the failure of the intercellular bonds- both vary among different commodities
and may change as the tissue ripens.
      The observed reduction in load and stress at bioyield and increase in deformation at bioyield with
advancing stage of ripeness of tomato fruits (Table 1) indicate a decrease in the resistance of the fruit to
compression loading. Compression force will, thus inflict greater bioyield damage on tomatoes at advancing
stages of ripeness. The results obtained therefore support the findings of Olorunda & Tung (1985) that the
susceptibility to mechanical injury depended on fruit maturity. The authors noted that ripe tomatoes were more
subject to mechanical injury.
      The results obtained in the present work may be explained by the hypothesis that changes such as
solublization and degradation of pectin, that occur in the cell wall during ripening of fruit, are critical to the
mechanical properties of the fruit (Seymour & Gross, 1996; Harker et al., 1997). The practical significance of
these results is that fresh tomatoes to be packaged for road transportation should be harvested at earlier stages of
ripeness to minimize internally mediated mechanical damage (caused by bioyield).
3.4 Effects of Vibration Level
The analysis of variance (Tables 1 to 3) revealed that vibration level had significant effects only on load at
bioyield and deformation at bioyield (at P = 0 005). The effect of vibration shows significant (P=0.05 level)

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Food Science and Quality Management                                                                    www.iiste.org
ISSN 2224-6088 (Paper) ISSN 2225-0557 (Online)
Vol 4, 2012

differences on load at bioyield.
  Table 5 shows the statistical analysis of variance means and differences among the three levels of vibration
tested during the compression testing. Load at bioyield, deformation at bioyield as well as stress at bioyield of
Roma tomato all reduced with advancing levels of vibration.
      The experimental application of varying levels of vibration to packaged Roma-type tomato before
compressive loading aimed at simulating vibration of fruit during road transportation. Packaged tomatoes
subjected to increasing vibration generally become weaker and softer. The packaged fruit was rendered
susceptible to mechanical damage by the imparted vibration received in the packaging containers. Vibration is
inter-related with ripeness and together determine the intensity of compression damage inflicted on the packaged
fruits. Tomatoes subjected to excessive vibration will easily be inflicted with mechanical damage, judged by the
low maximum load and stress at bioyield recorded for the treated fruit.
      These results agree with other studies carried out by Idah et al. (2007), which revealed that severity of
compression damage to fruits is primarily related to the level of vibration (and the stage of ripeness). Since the
non-vibrated fruits suffered the least compression damage, it can be inferred from the study that in considering
tomato fruits for transportation by road in packaging containers, the well maintained vehicles and roads should
be preferred. Therefore, subjection of packaged tomatoes to excessive vibration, before or during road
transportation is discouraged. Berardinelli et al. (2003) noted that the vibrations due to transportation are
influenced by road roughness, distance, travelling speed, load, and some characteristics of the truck such as the
suspension and the number of axles

3.5 Effects of container types
Table 1 to 3 shows that the effects of container on all strength parameters at bioyield were not significant
(P=0.05) during the compression testing of Roma tomato fruits. For example, deformation at bioyield was not
affected by container type (Table 6). Regardless of the stage of ripeness, the stress at bioyield was consistently
higher in basket packaged tomatoes than in crate. The stress reduction of 0.0008N/mm2 and 0.001N/mm2
observed in half- ripe and full-ripe fruits respectively in crate were maintained in the basket. In crate, load at
yield drops from 340N in unripe fruits to 220N and 130N in half-ripe and full-ripe fruits respectively. The same
trend was observed in basket packaged fruits but all values were slightly elevated by 20N above those in crate.

4. Conclusions
This research investigated the effects of ripeness stage, imparted vibration and packaging containers (raffia
basket and plastic crates) on three important strength parameters – load, deformation and stress – all at bioyield
point of the packaged fruit when compressed.
      Measurements of the strength parameters at bioyield point of Roma tomatoes revealed that stage of fruit
ripeness is the major factor contributing to the internal mechanical damage encountered in the compressed fruit.
Advancing stage of fruit ripeness or increased level of vibration rendered the fruit more susceptible to
compression stress and reduced fruit resistance to bioyield. This, thus, increases the susceptibility of the
packaged fruit to mechanical damage under compressive loading. The factors (ripeness and vibration) are
inter-related and together determine the intensity of compression damage inflicted on the packaged fruits.
Therefore, packaging of tomatoes at advanced stage of ripeness or subjection to excessive vibration is
discouraged.
      Hence, unripe tomatoes fruits should be preferred in considering tomatoes for road transportation in
packaging containers. Considering the correlation between ripening and vibration, careful choice of well
maintained vehicles for road transportation is also crucial to avoid imparting vibration to the packaged fruit. The
findings of this study will facilitate an understanding of the mode of mechanical damage caused by compressive
loading induced within the packages during road transportation.

Acknowledgement
The authors are grateful to the Director, National Center for Agricultural Mechanization (NCAM), Ilorin for
allowing the use of the Universal Testing Laboratory for the experimental work. The skillful laboratory
assistance of Engr. O.A. Ogunjirin is particularly appreciated.




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Food Science and Quality Management                                                                   www.iiste.org
ISSN 2224-6088 (Paper) ISSN 2225-0557 (Online)
Vol 4, 2012



References
Babarinsa, F. A. & Nwangwa, S. C. (1987). Different Packages of fruits Merits and Demerits. Proceedings of
the 1" National AERLS Home Economics Annual Workshop on "Preservation and Storage of Fruits and
Vegetables" 20 - 24 July, 1987. pp. 89- 93.
Berardinelli A; Donati, V.; Giunchi, A.; Guarnieri, A. & Ragni, L. (2003). Effects of transport vibrations on
quality indices of shell-eggs. Biosystems Engineering, 86: 495-502.
Bourne, M. C. (2002). Physics and texture. In: Food Texture and viscosity. Concept and measurement, (2nd ed.).
Bourne, M. C. (Ed.) Academic Press, San Diego, CA, pp101-102.
Burkner, P. F. & Kinch, D. M. (1967). Force-deformation ratio as an index of papaya maturation. ASAE paper
No 67, American Society of Agricultural Engineers, St. Joseph, Mich. 343.
Daramola, A.M. (1998). Post harvest handling of indigenous fruits and vegetables: status, problems and
prospects. Paper presented at the Meeting of Experts on Indigenous Crops and Animal Research and
Development, Nigeria.
De Belie, N., Hallett, I.C., Harker, F.R. & De Baerdemaeker. J. (2000). Influence of ripening and turgor on the
tensile properties of pears: A microscopic study of cellular and tissue changes. J. Amer. Soc. Hort. Sci.
125:350-356.
Fellows, P. J. (2009). Food Processing Technology, Principles and Practice. Woodhead Publishing Company
Limited, Great Abington Cambridge. p99.
Garcia, J. L., Ruiz-Altisent, M. & Barrieiro, P. (1995) Factors influencing mechanical properties and bruise
susceptibility of apples and pears. J. Agric Eng. Res., 61: 11-18.
Harker, F.R., Redgwell, R.J. Hallett, I.C. & Murray. S.H. (1997). Texture of fresh fruit. Hort. Rev. 20:121-224.
Idah, P.A., Ajisegiri, E.S.A. & Yisa, M.G. (2007) Fruits and Vegetables Handling and Transportation in Nigeria.
Aus. J.T. 10 (3): 175-183.
Lin, T.T. & Pitt. R.E. (1986). Rheology of apple and potato tissue as affected by cell turgor pressure. J. Texture
Stud. 17:291-313.
McColloch, L. P. (1962). Bruising injury of tomatoes. USDA, AMS, Marketing Research Bulletin No. 513.
McGlasson, W. B., Beattie, B. B. & Kavanagh, E. E. (1985). Tomato ripening guide, Agfact, H8.45, NSW
Department of Agriculture.
Mencarelli, F., Salcini, M. C. & Bellincontro, A. (2005). Consumer risk in shipping of raw fruit and vegetables.
In: Wim Jongen (Ed) Improving the Safety of Fresh Fruits and Vegetables. Woodhead Pulishing Ltd. Boca Raton
FL 3348, USA. pp574.
Mohsenin, N. N. (1986). Physical Properties of Plant and Animal Materials. Gordion and Breach Science Publ.,
N. Y.
NSPRI (1990). Storing Your Produce, Advisory Booklet No.4: Fruits and Vegetables. Nigerian Stored Products
Research Institute, Ilorin, Nigeria. pp20-25.
Okhuoya, J.A. (1995). Controlling post harvest losses in tomatoes and pepper. J. Trop. Postharv. 2: 136-142.
Olorunda, A. O. & Tung, M. A. (1985). Simulated transit studies on tomatoes: Effect of compressive load,
container, vibration and maturity on mechanical damage. Journal of Food Technology, 20: 669 – 678.
Rorbertson, G. L. (2006). Food Packaging: Principles and Practice (2nd ed). Taylor and Francis Group. Boca
Raton, London, New York. p337
Schouten , R. E., Huijben, T. P. M., Tijskens, L. M. M. & van Kooten, O. (2007). Modeling quality attributes and
truss tomatoes: Linking colour and firmness maturity. Postharvest Biol. Technol., 45(3), 298-306.
Seymour, G.B. & Gross. K.C. (1996). Cell wall disassembly and fruit softening. Postharv. News Info.
7:45N-52N.),
Shackel K. A., Greve, C., Labavitch J. M. & Ahmadi H. (1991). Cell Turgor Changes Associated with Ripening
in Tomato Pericarp Tissue, Plant Physiology, Vol. 97, No. 2, pp. 814-816.
Thompson, A. K. (2003). Fruit and Vegetables. Harvesting, Handling and Storage. (2nd ed.). Blackwell
Publishing Ltd. Oxford, UK. pp33-34.
Tong, C., D. Krueger, Z., Vickers, D., Bedford, J. Luby, A. El-Shiekh, K. Shackel, & Ahmadi, H. (1999).
Comparison of softening-related changes during storage of 'Honeycrisp' apple, it parents, and 'Delicious'. J. Am.
Soc. Hort. Sci. 124:407-415.
Tu, K., Jancsok, P. Nicolai, B.& De Baerdemaeker. J. (2000). Use of laser-scattering imaging to study
tomato-fruit quality in relation to acoustic and compression measurements. Int. J. Food Sci. Technol. 35:503-510.
Vursavus, K. & Ozguven, F. (2004). Determining the effects of vibration parameters and packaging method on
mechanical damage in golden delicious apples. Turk Journal of Agriculture 28: 311-320.



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Food Science and Quality Management                                                                   www.iiste.org
ISSN 2224-6088 (Paper) ISSN 2225-0557 (Online)
Vol 4, 2012



Table 1: Statistical Analysis of Variance (ANOVA) of data on load at bioyield of tomato fruit under compression

                      Source                        Type III Sum     df    Mean Square          F           Sig.
                                                     of Squares
           Corrected Model                          512206.500a      11     46564.227         3.848         .001
               Intercept                            3102283.684       1    3102283.684       256.384        .000
             VIBRATION                              150098.437        2     75049.219         6.202         .004
            CONTAINER                                 2403.556        1      2403.556          .199         .658
              RIPENESS                              131036.190        2     65518.095         5.415         .008
       VIBRATION*CONTAINER                           18989.001        2      9494.501          .785         .463
        VIBRATION*RIPENESS                           37354.895        4      9338.724          .772         .550
        CONTAINER*RIPENESS                              .000          0
   VIBRATION*CONTAINER*RIPENESS                         .000          0
                 Error                              508206.888       42     12100.164
                 Total                              4210955.070      54
            Corrected Total                         1020413.388      53


Table 2: Statistical Analysis of Variance (ANOVA) of data on deformation at bioyield of tomato fruit under
compression



                      Source                        Type III Sum      df     Mean Square          F          Sig.
                                                     of Squares
           Corrected Model                          512206.500a       11      46564.227        3.848         .001
               Intercept                            3102283.684        1     3102283.684      256.384        .000
             VIBRATION                               150098.437        2      75049.219        6.202         .004
            CONTAINER                                  2403.556        1       2403.556         .199         .658
              RIPENESS                               131036.190        2      65518.095        5.415         .008
       VIBRATION*CONTAINER                            18989.001        2       9494.501         .785         .463
        VIBRATION*RIPENESS                            37354.895        4       9338.724         .772         .550
        CONTAINER*RIPENESS                               .000          0
   VIBRATION*CONTAINER*RIPENESS                          .000          0
                 Error                               508206.888       42      12100.164
                 Total                              4210955.070       54
            Corrected Total                         1020413.388       53




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Food Science and Quality Management                                                                             www.iiste.org
ISSN 2224-6088 (Paper) ISSN 2225-0557 (Online)
Vol 4, 2012



Table 3: Statistical Analysis of Variance (ANOVA) of data on stress at bioyield of tomato fruit under ompression


                         Source                                Type III        df      Mean Square         F           Sig.
                                                               Sum of
                                                               Squares
           Corrected Model                                 1.614E-05a          11       1.467E-06        9.869         .000
               Intercept                                   1.898E-04            1       1.898E-04      1276.675        .000
             VIBRATION                                     5.312E-06            2       2.656E-06       17.869         .000
            CONTAINER                                      9.245E-06            1       9.245E-06       62.193         .000
              RIPENESS                                     6.957E-06            2       3.479E-06       23.402         .000
       VIBRATION*CONTAINER                                 5.833E-07            2       2.917E-07        1.962         .153
        VIBRATION*RIPENESS                                 3.993E-07            4       9.981E-08         .671         .615
        CONTAINER*RIPENESS                                    .000              0
   VIBRATION*CONTAINER*RIPENESS                               .000              0
                 Error                                     6.243.E-06          42       1.487E-07
                 Total                                     2.147E-04           54
            Corrected Total                                2.238E-05           53

       Table 4:     Statistical analysis of variance means and ripeness stages



                                                                                 Stage of ripeness
Strength parameter
                                                      Unripe                   Half-ripe              Full-ripe

Load     at yield      (N)                               339.933a                   233.069b               156.217c

Deformation at yield         (mm)                        18.888a                     16.179a               17.483a

Stress at yield     (N/mm2)                            1.8944E-03a                  1.950E-03a            1.817E-03a


       In each row, means with the same letter were not significantly (p = 0.05) different.
                    Table 5: Statistical analysis of variance means and vibration levels


                                                                            Level of vibration
Strength parameter
                                            Non-vibrated                  Low-vibration              High-vibration

Load     at yield      (N)                  309.379a                      221.350b                   190.983b

Deformation at yield         (mm)           21.091a                       16.511b                    13.945b

Stress at yield     (N/mm2)                 2.287E-03a                    1.875E-03ab                1.546E-03b


                      In each row, means with the same letter were not significantly (p = 0.05) different.

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Food Science and Quality Management                                                                       www.iiste.org
ISSN 2224-6088 (Paper) ISSN 2225-0557 (Online)
Vol 4, 2012




                           Table 6: Statistical Analysis for variable means and container type


                                                                              Type of container
Strength parameter

                                                            Crate                          Basket

Load    at yield     (N)                                  280.722a                       200.419b


Deformation at yield       (mm)                           16.799a                        17.565a

Stress at yield    (N/mm2)                                1.564E-03a                     2.242E-03a




                   In each row, means with the same letter were not significantly (p = 0.05) different.




                   Figure 1: Load-deformation curve for vibrated ripe tomatoes packaged in basket




                                                          23
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Strength parameters of packaged Roma tomatoes

  • 1. Food Science and Quality Management www.iiste.org ISSN 2224-6088 (Paper) ISSN 2225-0557 (Online) Vol 4, 2012 Strength Parameters of Packaged Roma Tomatoes at Bioyield under Compressive Loading F.A. Babarinsa1* and M. T. Ige2 1. Nigerian Stored Products Research Institute, P.M.B. 1489, Ilorin. Nigeria. 2. Department of Agricultural and Environmental Engineering, Obafemi Awolowo University. Ile-Ife, Nigeria. *E-mail of corresponding author: fababarinsa@yahoo.com Abstract Compression test was conducted on packaged Roma tomatoes to study the effects of stage of ripeness, level of vibration and container type on load, deformation and stress at bioyield point of the fruit. Tomatoes harvested at three stages of ripeness: unripe (5.6 Brix %), half-ripe (3.9 Brix %), and full-ripe (3.2 Brix %), were packed in plastic crate and raffia basket and were subjected to three levels of vibration: non-vibrated, low vibration (frequency 3.7 hz) and high-vibration (frequency 6.7 hz). The tomatoes were then compressed at a loading rate of 2.50 mm/min-1 in a Testometric Universal Testing Machine. Data obtained directly from computer printout were statistical analyzed using the SPSS 110 software package. Load and stress at bioyield decreased significantly (P=0.05) with advances in ripeness stage of the fruit. of increasing vibration significantly (P=0.05) increased deformation at yield and also reduced load and stress at bioyield. Keywords: Roma tomato, Packaging, Mechanical damage, Strength parameter, Bioyield, Ripeness, Vibration, Universal Testing Machine 1. Introduction Tomato (Lycopersicon esculentum Mill.) is a major vegetable crop grown in Nigeria and the Roma variety is highly favoured in commercial production and transportation in the country. The variety is widely grown in the northern part of Nigeria and is usually bulk packaged in raffia woven baskets for transportation, by road, to the southern parts using commercial trucks. Considerable mechanical damage is inflicted, due to compression, to the packaged fruits in the distribution system (Babarinsa & Nwangwa, 1987, Okhuoya, 1995 and Daramola, 1998). This contributes substantially to the huge postharvest losses suffered by the tomatoes in the country. The strategic reduction of this aspect of losses requires improvement to the packaging method with a clear understanding of the behavior of the delicate tissues under externally applied forces. As noted by Rorbertson (2006), modern packaging of fresh horticultural produce is expected to meet a wide range of requirements, including the prevention of mechanical damage resulting from compression. Mohsenin (1986) reported that, in intact fruits and vegetables, mechanical damage is usually initiated through a rupture in the internal or external cellular structure of the material. He recalled that at bioyield point, cells start to rupture or move with respect to their neighbors. Hence, relating externally applied forces to the initial disruption of the cellular structure of a packaged fruit calls for a clear understanding of the strength parameters at bioyield point. Bioyield behavior of the fruit under compressive loading characterizes the microstructural (cellular) disintegration of its vegetable tissues in packaging during transportation. Deformation at bioyield, which weakens the cell walls and the forces binding cells together, has been attributed to weak ruptured cells by (Okhuoya 1995 and Daramola 1998). Typically, bioyield does not show an immediate external symptom for mechanical damage in tomatoes (McColloch, 1962) but causes permanent (irreversible) deformation at the cellular level. It particularly encourages breakdown of cell structure, with loss of firmness, by allowing breakdown of polymeric carbohydrates, especially pectic substances. The resulting internal damage often degenerates into tissue disintegration, external fracture and other forms of mechanical damage which eventually leads to physiological disorder and greatly reduce fruits shelf life. Determination of bioyield deformation and measurements of strength parameters in fruits often involves a study of force-deformation behavior under compression (Burkner & Kinch. 1967). This approach has been justified for fresh tomato fruits on the ground that the fresh tomato is usually subjected to mechanical forces in packaging. Mechanical behavior of a compressed material at bioyield can be expressed in terms of strength parameters such as of maximum sustainable load, resultant deformation and maximum sustainable stress (Vursavus & Ozguven 2004, Mencarelli et al., 2005). This provides a basis for predicting the occurrence of mechanical damage under an applied force. This study investigated the effects of stage of fruit ripeness, level of vibration and packaging container on strength parameters (load, deformation and stress) at bioyield of packaged Roma tomatoes under compressive 16
  • 2. Food Science and Quality Management www.iiste.org ISSN 2224-6088 (Paper) ISSN 2225-0557 (Online) Vol 4, 2012 loading. 2. Materials and Method 2.1 Experimental Plant Material Tomatoes of the Roma variety were hand-harvested from a local market farm in Ilorin suburb at three stages of maturity. These were transported to the Engineering Material Testing Laboratory at the National Center for Agricultural Mechanization (NCAM), Ilorin. Wholesome fruits were sorted for reasonable uniformity into shape and size range of 2.5 to 3.0cm. Stages of tomato ripeness were first determined subjectively by skin colour as (i) unripe (mature green/breaker or green pink, consisting of the first point of skin colour change from complete green to about 30% pink), (ii) half-ripe, consisting of 30-70% pink to red skin and (iii) the ripe, consisting of 70-100% red skin but still firm, These are identical to skin colour levels depicted as 1, 5 and 9 on the recommended tomato colour chart of the Organisation de Cooperation et de Development Economiques, Paris (Thompson, 2003). The ripening stages are also equivalent to colour levels 2, 4 and 6 on another chart presented by McGlasson et al. (1985). The ripeness stages were further evaluated objectively by measuring the total soluble solids (as Brix %) in the undiluted juice of samples of the tomato fruit. The digital hand-held refractometer (ATAGO® PAL-1 No.3810) used had an automatic internal temperature compensation feature, a measurement resolution of Brix 0.1% and accuracy of Brix ±0.2%. Approximately 0.3ml of the tomato samples, blended to a uniform juice, were placed on the prism of the digital refractometer. The total soluble solids content (in Brix %), measured in triplicates, were 5.6, 3.9 and 3.2 for the unripe, half- ripe and full ripe stages respectively. 2.2 Packaging containers The two packaging containers used are plastic crate and raffia basket. The plastic crate (manufactured by Shongai Packaging Industries Ltd) has been recommended by the Nigerian Stored Products Research Institute for packaging tomatoes for road transportation in Nigeria (NSPRI, 1990). It is similar to the nest/stack type described by Thompson (2003). The crate has total external dimensions of 60cm x 40cm x 25cm high and is capable of holding 25kg of tomato fruit. The basket is the traditional hand-woven raffia type extensively used in road transportation of tomatoes in Nigeria. It is 30cm deep and 43cm in diameter, capable of holding 20kg of tomato fruit. Both containers are adequately ventilated and are strong to resist failure by buckling. 2.3 Experimental design A 2 x 32 factorial experiment was conducted to study the effect of three ripening stages, three vibration levels and two containers on load, deformation and stress at bioyield point of Roma tomatoes under compressive loading. 2.4 Vibration treatment A laboratory mechanical vibrator, a Gallenhamn Orbital Shaker (App. No 9B 3742 E), was used to vibrate the packaged tomatoes in their respective containers (plastic crate and raffia basket) while being carried on the vibrator’s platform. The carriage platform is fitted internally with oscillating cams that vibrate the platform, thereby imparting oscillation at the variable speed of 0-400 rev/min. Vibration, designated either as low-level or high level, was applied at fixed frequencies of oscillation, 3.5 and 6.7 Hz respectively, by setting the operating speed at 200 or 400 rev/min for duration of 60 minutes. 2.5 Compression test Compression tests were conducted with the Testometric Universal Testing Machine (UTM), (manufactured by Testometric Co. Ltd. UK), with a force exerting capacity of 50kN. The functional components of the testing machine include the load frame, load cell, crosshead, control console and a printer. It was installed in the Engineering Material Testing Laboratory of the National Center for Agricultural Mechanization (NCAM), Ilorin. The compression test was conducted in triplicates by mounting and compressing the tomatoes in the loading space of the UTM. A pair of rigid plates of 1.27cm thick plywood was used as the force-transmitting devices, one as bottom support and the other as top loading device for the fruit. Loading rate (crosshead speed) of 2.50 mm/ min was applied as recommended by Mohsenin (1986). The electronic computing unit of the UTM was set to measure selected strength parameters (load, deformation and stress) at bioyield of the compressed tomatoes. Data sheets of measured values and load-deformation plots were obtained directly as produced with the aid of a PC. 17
  • 3. Food Science and Quality Management www.iiste.org ISSN 2224-6088 (Paper) ISSN 2225-0557 (Online) Vol 4, 2012 2.6 Statistical Analysis Data collected from compression test runs were subjected to statistical analysis using randomized complete block design based on a 32x2 factorial experiment. Statistical analysis was carried out using Statistical Package for Social Sciences (SPSS 110 software package). Treatment means were compared using Duncan’s Multiple Range Test (P< 0.05). 3. Results and Discussion 3.1 Load-deformation curves Typical compression load-deformation curve generated for the compressed tomatoes is shown in Figure 1. The curves generally showed sharp peaks after the elastic deformation at the end of each compression. Bourne (2002) made similar observation with Instron generated curves which show sharp peaks at the end of each compression, rather than rounded peaks like those yielded by the General Foods Texturometer. Fellows (2009), while considering idealized and typical load-deformation curves for various foods, attributed the observed behavior in compression to soft, weak brittle materials. He particularly noted that the point of maximum force or rupture could also occur at bioyield point. This, thus, explains why in curves such as that in Figures 1, bioyield point may not be distinguishable from rupture point. 3.2 Statistical Analysis Results of analysis of variance of the compression tests for determination of load, deformation and stress at bioyield, are as presented in Tables 1 to 3 respectively, showing the effects of ripeness, vibration and container. The Tables revealed vibration level had significant effects on load at bioyield and deformation at bioyield (at P = 0 005) while stage of ripeness shows significant effects on load at bioyield and deformation at bioyield (at P = 0.05). The effects of container were not significant on any of the treatments. The two-factor interactions were not significant (P=0.05) on the strength parameters. The analysis also indicated that Vibration*Container interaction, with F-value 1962, was also the most important two-factor interaction on stress at bioyield (with F-value 1962), load at bioyield and stress at bioyield (with F-value 0.785). Effects between the subject three factors (Ripeness*Container*Vibration) were not significant for all strength parameters at bioyield. 3.3 Effects of stage of ripeness Stage of ripeness had highly significant (p = 0.001) effects on stress at bioyield (Table 3) while having significant (p=0.005 level) effects on load at bioyield. The effects of ripeness were, however, not significant for deformation at yield (Table 2). The statistical analysis of variance means and differences among the three stages of ripeness tested during the compression testing are presented in Table 4. Load at bioyield as well as stress at bioyield of Roma tomato reduced with advancing stages of ripeness. This can be attributed to the reduction of turgor in tomatoes during ripening as noted by Shackel et al., (1991) Tong et al., (1999) and De Belie et al., (2000). Shackel et al., (1991) observed that this reduced stressing of the cell wall in intact tomato (variety "Castelmart") fruit., When such tissues are subjected to compressive loads, higher turgor tends to make the cell more brittle, and fail at a lower force (Lin & Pitt, 1986; Tu, et al., 2000).. This, perhaps, is why Schouten et al. (2007) stated that mechanical damage results in immediate loss in cell wall only in the riper fruit of tomato. This is also supported by findings of Garcia et al. (1995) who noted that mechanical stresses in the tissues were higher in turgid fruit. The two modes of structural feature, which initiate the failure of the cellular conglomerate - the tension failure of the cell walls and the failure of the intercellular bonds- both vary among different commodities and may change as the tissue ripens. The observed reduction in load and stress at bioyield and increase in deformation at bioyield with advancing stage of ripeness of tomato fruits (Table 1) indicate a decrease in the resistance of the fruit to compression loading. Compression force will, thus inflict greater bioyield damage on tomatoes at advancing stages of ripeness. The results obtained therefore support the findings of Olorunda & Tung (1985) that the susceptibility to mechanical injury depended on fruit maturity. The authors noted that ripe tomatoes were more subject to mechanical injury. The results obtained in the present work may be explained by the hypothesis that changes such as solublization and degradation of pectin, that occur in the cell wall during ripening of fruit, are critical to the mechanical properties of the fruit (Seymour & Gross, 1996; Harker et al., 1997). The practical significance of these results is that fresh tomatoes to be packaged for road transportation should be harvested at earlier stages of ripeness to minimize internally mediated mechanical damage (caused by bioyield). 3.4 Effects of Vibration Level The analysis of variance (Tables 1 to 3) revealed that vibration level had significant effects only on load at bioyield and deformation at bioyield (at P = 0 005). The effect of vibration shows significant (P=0.05 level) 18
  • 4. Food Science and Quality Management www.iiste.org ISSN 2224-6088 (Paper) ISSN 2225-0557 (Online) Vol 4, 2012 differences on load at bioyield. Table 5 shows the statistical analysis of variance means and differences among the three levels of vibration tested during the compression testing. Load at bioyield, deformation at bioyield as well as stress at bioyield of Roma tomato all reduced with advancing levels of vibration. The experimental application of varying levels of vibration to packaged Roma-type tomato before compressive loading aimed at simulating vibration of fruit during road transportation. Packaged tomatoes subjected to increasing vibration generally become weaker and softer. The packaged fruit was rendered susceptible to mechanical damage by the imparted vibration received in the packaging containers. Vibration is inter-related with ripeness and together determine the intensity of compression damage inflicted on the packaged fruits. Tomatoes subjected to excessive vibration will easily be inflicted with mechanical damage, judged by the low maximum load and stress at bioyield recorded for the treated fruit. These results agree with other studies carried out by Idah et al. (2007), which revealed that severity of compression damage to fruits is primarily related to the level of vibration (and the stage of ripeness). Since the non-vibrated fruits suffered the least compression damage, it can be inferred from the study that in considering tomato fruits for transportation by road in packaging containers, the well maintained vehicles and roads should be preferred. Therefore, subjection of packaged tomatoes to excessive vibration, before or during road transportation is discouraged. Berardinelli et al. (2003) noted that the vibrations due to transportation are influenced by road roughness, distance, travelling speed, load, and some characteristics of the truck such as the suspension and the number of axles 3.5 Effects of container types Table 1 to 3 shows that the effects of container on all strength parameters at bioyield were not significant (P=0.05) during the compression testing of Roma tomato fruits. For example, deformation at bioyield was not affected by container type (Table 6). Regardless of the stage of ripeness, the stress at bioyield was consistently higher in basket packaged tomatoes than in crate. The stress reduction of 0.0008N/mm2 and 0.001N/mm2 observed in half- ripe and full-ripe fruits respectively in crate were maintained in the basket. In crate, load at yield drops from 340N in unripe fruits to 220N and 130N in half-ripe and full-ripe fruits respectively. The same trend was observed in basket packaged fruits but all values were slightly elevated by 20N above those in crate. 4. Conclusions This research investigated the effects of ripeness stage, imparted vibration and packaging containers (raffia basket and plastic crates) on three important strength parameters – load, deformation and stress – all at bioyield point of the packaged fruit when compressed. Measurements of the strength parameters at bioyield point of Roma tomatoes revealed that stage of fruit ripeness is the major factor contributing to the internal mechanical damage encountered in the compressed fruit. Advancing stage of fruit ripeness or increased level of vibration rendered the fruit more susceptible to compression stress and reduced fruit resistance to bioyield. This, thus, increases the susceptibility of the packaged fruit to mechanical damage under compressive loading. The factors (ripeness and vibration) are inter-related and together determine the intensity of compression damage inflicted on the packaged fruits. Therefore, packaging of tomatoes at advanced stage of ripeness or subjection to excessive vibration is discouraged. Hence, unripe tomatoes fruits should be preferred in considering tomatoes for road transportation in packaging containers. Considering the correlation between ripening and vibration, careful choice of well maintained vehicles for road transportation is also crucial to avoid imparting vibration to the packaged fruit. The findings of this study will facilitate an understanding of the mode of mechanical damage caused by compressive loading induced within the packages during road transportation. Acknowledgement The authors are grateful to the Director, National Center for Agricultural Mechanization (NCAM), Ilorin for allowing the use of the Universal Testing Laboratory for the experimental work. The skillful laboratory assistance of Engr. O.A. Ogunjirin is particularly appreciated. 19
  • 5. Food Science and Quality Management www.iiste.org ISSN 2224-6088 (Paper) ISSN 2225-0557 (Online) Vol 4, 2012 References Babarinsa, F. A. & Nwangwa, S. C. (1987). Different Packages of fruits Merits and Demerits. Proceedings of the 1" National AERLS Home Economics Annual Workshop on "Preservation and Storage of Fruits and Vegetables" 20 - 24 July, 1987. pp. 89- 93. Berardinelli A; Donati, V.; Giunchi, A.; Guarnieri, A. & Ragni, L. (2003). Effects of transport vibrations on quality indices of shell-eggs. Biosystems Engineering, 86: 495-502. Bourne, M. C. (2002). Physics and texture. In: Food Texture and viscosity. Concept and measurement, (2nd ed.). Bourne, M. C. (Ed.) Academic Press, San Diego, CA, pp101-102. Burkner, P. F. & Kinch, D. M. (1967). Force-deformation ratio as an index of papaya maturation. ASAE paper No 67, American Society of Agricultural Engineers, St. Joseph, Mich. 343. Daramola, A.M. (1998). Post harvest handling of indigenous fruits and vegetables: status, problems and prospects. Paper presented at the Meeting of Experts on Indigenous Crops and Animal Research and Development, Nigeria. De Belie, N., Hallett, I.C., Harker, F.R. & De Baerdemaeker. J. (2000). Influence of ripening and turgor on the tensile properties of pears: A microscopic study of cellular and tissue changes. J. Amer. Soc. Hort. Sci. 125:350-356. Fellows, P. J. (2009). Food Processing Technology, Principles and Practice. Woodhead Publishing Company Limited, Great Abington Cambridge. p99. Garcia, J. L., Ruiz-Altisent, M. & Barrieiro, P. (1995) Factors influencing mechanical properties and bruise susceptibility of apples and pears. J. Agric Eng. Res., 61: 11-18. Harker, F.R., Redgwell, R.J. Hallett, I.C. & Murray. S.H. (1997). Texture of fresh fruit. Hort. Rev. 20:121-224. Idah, P.A., Ajisegiri, E.S.A. & Yisa, M.G. (2007) Fruits and Vegetables Handling and Transportation in Nigeria. Aus. J.T. 10 (3): 175-183. Lin, T.T. & Pitt. R.E. (1986). Rheology of apple and potato tissue as affected by cell turgor pressure. J. Texture Stud. 17:291-313. McColloch, L. P. (1962). Bruising injury of tomatoes. USDA, AMS, Marketing Research Bulletin No. 513. McGlasson, W. B., Beattie, B. B. & Kavanagh, E. E. (1985). Tomato ripening guide, Agfact, H8.45, NSW Department of Agriculture. Mencarelli, F., Salcini, M. C. & Bellincontro, A. (2005). Consumer risk in shipping of raw fruit and vegetables. In: Wim Jongen (Ed) Improving the Safety of Fresh Fruits and Vegetables. Woodhead Pulishing Ltd. Boca Raton FL 3348, USA. pp574. Mohsenin, N. N. (1986). Physical Properties of Plant and Animal Materials. Gordion and Breach Science Publ., N. Y. NSPRI (1990). Storing Your Produce, Advisory Booklet No.4: Fruits and Vegetables. Nigerian Stored Products Research Institute, Ilorin, Nigeria. pp20-25. Okhuoya, J.A. (1995). Controlling post harvest losses in tomatoes and pepper. J. Trop. Postharv. 2: 136-142. Olorunda, A. O. & Tung, M. A. (1985). Simulated transit studies on tomatoes: Effect of compressive load, container, vibration and maturity on mechanical damage. Journal of Food Technology, 20: 669 – 678. Rorbertson, G. L. (2006). Food Packaging: Principles and Practice (2nd ed). Taylor and Francis Group. Boca Raton, London, New York. p337 Schouten , R. E., Huijben, T. P. M., Tijskens, L. M. M. & van Kooten, O. (2007). Modeling quality attributes and truss tomatoes: Linking colour and firmness maturity. Postharvest Biol. Technol., 45(3), 298-306. Seymour, G.B. & Gross. K.C. (1996). Cell wall disassembly and fruit softening. Postharv. News Info. 7:45N-52N.), Shackel K. A., Greve, C., Labavitch J. M. & Ahmadi H. (1991). Cell Turgor Changes Associated with Ripening in Tomato Pericarp Tissue, Plant Physiology, Vol. 97, No. 2, pp. 814-816. Thompson, A. K. (2003). Fruit and Vegetables. Harvesting, Handling and Storage. (2nd ed.). Blackwell Publishing Ltd. Oxford, UK. pp33-34. Tong, C., D. Krueger, Z., Vickers, D., Bedford, J. Luby, A. El-Shiekh, K. Shackel, & Ahmadi, H. (1999). Comparison of softening-related changes during storage of 'Honeycrisp' apple, it parents, and 'Delicious'. J. Am. Soc. Hort. Sci. 124:407-415. Tu, K., Jancsok, P. Nicolai, B.& De Baerdemaeker. J. (2000). Use of laser-scattering imaging to study tomato-fruit quality in relation to acoustic and compression measurements. Int. J. Food Sci. Technol. 35:503-510. Vursavus, K. & Ozguven, F. (2004). Determining the effects of vibration parameters and packaging method on mechanical damage in golden delicious apples. Turk Journal of Agriculture 28: 311-320. 20
  • 6. Food Science and Quality Management www.iiste.org ISSN 2224-6088 (Paper) ISSN 2225-0557 (Online) Vol 4, 2012 Table 1: Statistical Analysis of Variance (ANOVA) of data on load at bioyield of tomato fruit under compression Source Type III Sum df Mean Square F Sig. of Squares Corrected Model 512206.500a 11 46564.227 3.848 .001 Intercept 3102283.684 1 3102283.684 256.384 .000 VIBRATION 150098.437 2 75049.219 6.202 .004 CONTAINER 2403.556 1 2403.556 .199 .658 RIPENESS 131036.190 2 65518.095 5.415 .008 VIBRATION*CONTAINER 18989.001 2 9494.501 .785 .463 VIBRATION*RIPENESS 37354.895 4 9338.724 .772 .550 CONTAINER*RIPENESS .000 0 VIBRATION*CONTAINER*RIPENESS .000 0 Error 508206.888 42 12100.164 Total 4210955.070 54 Corrected Total 1020413.388 53 Table 2: Statistical Analysis of Variance (ANOVA) of data on deformation at bioyield of tomato fruit under compression Source Type III Sum df Mean Square F Sig. of Squares Corrected Model 512206.500a 11 46564.227 3.848 .001 Intercept 3102283.684 1 3102283.684 256.384 .000 VIBRATION 150098.437 2 75049.219 6.202 .004 CONTAINER 2403.556 1 2403.556 .199 .658 RIPENESS 131036.190 2 65518.095 5.415 .008 VIBRATION*CONTAINER 18989.001 2 9494.501 .785 .463 VIBRATION*RIPENESS 37354.895 4 9338.724 .772 .550 CONTAINER*RIPENESS .000 0 VIBRATION*CONTAINER*RIPENESS .000 0 Error 508206.888 42 12100.164 Total 4210955.070 54 Corrected Total 1020413.388 53 21
  • 7. Food Science and Quality Management www.iiste.org ISSN 2224-6088 (Paper) ISSN 2225-0557 (Online) Vol 4, 2012 Table 3: Statistical Analysis of Variance (ANOVA) of data on stress at bioyield of tomato fruit under ompression Source Type III df Mean Square F Sig. Sum of Squares Corrected Model 1.614E-05a 11 1.467E-06 9.869 .000 Intercept 1.898E-04 1 1.898E-04 1276.675 .000 VIBRATION 5.312E-06 2 2.656E-06 17.869 .000 CONTAINER 9.245E-06 1 9.245E-06 62.193 .000 RIPENESS 6.957E-06 2 3.479E-06 23.402 .000 VIBRATION*CONTAINER 5.833E-07 2 2.917E-07 1.962 .153 VIBRATION*RIPENESS 3.993E-07 4 9.981E-08 .671 .615 CONTAINER*RIPENESS .000 0 VIBRATION*CONTAINER*RIPENESS .000 0 Error 6.243.E-06 42 1.487E-07 Total 2.147E-04 54 Corrected Total 2.238E-05 53 Table 4: Statistical analysis of variance means and ripeness stages Stage of ripeness Strength parameter Unripe Half-ripe Full-ripe Load at yield (N) 339.933a 233.069b 156.217c Deformation at yield (mm) 18.888a 16.179a 17.483a Stress at yield (N/mm2) 1.8944E-03a 1.950E-03a 1.817E-03a In each row, means with the same letter were not significantly (p = 0.05) different. Table 5: Statistical analysis of variance means and vibration levels Level of vibration Strength parameter Non-vibrated Low-vibration High-vibration Load at yield (N) 309.379a 221.350b 190.983b Deformation at yield (mm) 21.091a 16.511b 13.945b Stress at yield (N/mm2) 2.287E-03a 1.875E-03ab 1.546E-03b In each row, means with the same letter were not significantly (p = 0.05) different. 22
  • 8. Food Science and Quality Management www.iiste.org ISSN 2224-6088 (Paper) ISSN 2225-0557 (Online) Vol 4, 2012 Table 6: Statistical Analysis for variable means and container type Type of container Strength parameter Crate Basket Load at yield (N) 280.722a 200.419b Deformation at yield (mm) 16.799a 17.565a Stress at yield (N/mm2) 1.564E-03a 2.242E-03a In each row, means with the same letter were not significantly (p = 0.05) different. Figure 1: Load-deformation curve for vibrated ripe tomatoes packaged in basket 23
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