# Evaluation  the Effects of Some Relevant Parameters on Elastic Modulus of Pumpkin Seed and Its Kernel

Authors: Mohammad Hossein Abbaspour-Fard; Rasool Khodabakhshian; Bagher Emadi; Hasan Sadrnia
Journal: International Journal of Biomaterials
 (2012)

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## Abstract

The elastic modulus of two varieties of Iranian pumpkin seed and its kernel (namely, Zaria and Gaboor) were evaluated as a function of size (large, medium, and small), loading rate (2, 5, 8, and 10 mm/min), and moisture content (4, 7.8, 14, and 20% d.b) under quasistatic compression loading. The results showed that elastic modulus of pumpkin seed and its kernel decreased with increasing moisture content and also increasing loading rate, for the varieties under study. The average modulus of elasticity of pumpkin seed from 68.86 to 46.65 Mpa and from 97.14 to 74.93 Mpa was obtained for moisture levels ranging from 4 to 20%, for Zaria and Gaboor varieties, respectively. The elastic modulus of pumpkin seed decreased from 73.55 to 43.04 Mpa and from 101.83 to 71.32 Mpa with increasing loading rate from 2 to 10 mm/min for Zaria and Gaboor varieties, respectively.


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## Body

## 1. Introduction

Pumpkin seed (Cucurbita maxima) is considered to be an important oilseed crop, because it contains highly nutritious oil in  large quantity. According to Iranian government statistical data (2008), over 20 varieties of pumpkin are cultivated in Iran. The majority of pumpkin seed is  consumed for oil production (85%) and the rest for fresh consumption as nuts. The oil of Pumpkin seed has strong antioxidant properties and several other health benefits such as hampering the growth and reduction of the size of prostate, retardation of hypertension, mitigation of hypercholesterolemia and arthritis, reduction of bladder and urethral pressure, improving bladder compliance, alleviation of diabetes by promoting hypoglycemic activity, and lowering the levels of gastric, breast, lung, and colorectal cancer [1, 2].In Iran, the oil of pumpkin seeds is mostly obtained by mechanical extraction. However, this process suffers from some disadvantages. The presence of a justly high percentage of hulls in the seed not only causes rapid wear of the moving parts of the expeller but also reduces the total oil yield. The transfer of pigments from the hull to the extracted oils leads to high specific energy and yields cakes of lower food value. Therefore, pumpkin seeds should be hulled before entering the industrial process of oil extraction. Information of elastic characteristics of pumpkin seed∖kernel and their dependency on moisture content and size under compressive loading is essential for a rational design of an efficient dehulling system and equipment for mechanical expression of oil and other processes.Owing to the complex shape of most of agricultural produces and their associated complex structure, the determination of a reliable elastic modulus presents a number of problems. For instance, one of the most important problems to determine the elastic modulus of agricultural produce is its viscoelastic characteristic, that is, it simultaneously behaves as elastic solid and viscous liquid. However, many researches have found that when small loads are applied in short times, these problems can fade, to a certain extent, using some methods based on elasticity theory [3–18].The review of literature indicates that many studies have determined the elastic modulus of agricultural produce from force-deformation curves, based on Hertz theory [19]. Khazaei [15] studied the elastic modulus of pea pod, at loading rate of 5 mm/min and moisture content of 18% w.b. Kiani et al. [18] determined elastic modulus of red bean grains as a function of moisture content and loading rate. They reported that the Young’s modulus of this grain decreased from 253.26 to 93.06 Mpa with increasing moisture content from 3% to 15%. Moreover, its young’s modulus increased as loading rate increased from 3 to 15 mm/min.However, there is no enough published work related to the effect of relevant parameters on elastic modulus of pumpkin seed and its kernel such as moisture content, size, loading rate, and variety. The present study aimed to investigate the effect of these parameters on elastic modulus of two major commercial Iranian varieties of pumpkin seed and its kernel, namely, Zaria and Gaboor.


## 2. Materials and Methods

### 2.1. Sample Preparation

Zaria and Gaboor varieties of pumpkin seed were obtained from different regions of Khorasan Razavi province (north east of Iran) during autumn season in 2010 (Figure1). A mass of twenty kilograms from each variety of pumpkin was collected. At first, the pumpkin seeds were manually cleaned to get rid of foreign materials and broken and immature seeds. To prepare the samples of whole kernels, a part of the seeds equal to 10 kg was randomly separated and manually dehulled from each variety. The initial moisture content of seed and kernel samples was determined using the standard hot air oven method with a temperature setting of 105 ± 1°C for 24 h [20–23]. The initial moisture content of the seeds of Zaria and Gaboor varieties was 7.8% and 7.6% d.b, respectively. In the mean time, the moisture content of the corresponding kernels at this stage was 6.2% and 5.8% d.b., respectively. According to Khodabakhshian et al. [24], the seeds were sieved into three size categories (small, medium, and large) using 5.5, 6.5, and 8 mm square mesh sieves. The elastic modulus of pumpkin seed and its kernel was measured in four moisture content levels in the range of 4 to 20% (d.b.) that is a usual range since harvesting, transportation, storage, and processing operations of pumpkin seed. To provide the seeds and kernels with the desired moisture content, subsamples of both seeds and kernels of each variety and size category, each weighing 0.5 kg, were randomly drawn from the bulk sample and dried (oven method at 75°C for 2 h) or adding calculated quantity of water to the seeds, through mixing and then sealing in separate polyethylene bags of 90 μm thickness. The samples were kept at 5°C in a refrigerator for 7 days to distribute the moisture uniformly throughout the sample. Before starting the tests, the required quantities of seed and kernel were taken out of frig and allowed to warm up to room temperature for approximately 2 h [20, 24, 25].Figure 1
The size categories of two Iranian varieties of pumpkin seed.


### 2.2. Elastic Modulus Measurement

An Instron Universal Testing Machine (Model H5KS, Tinius Olsen Company) equipped with a 500 N compression load cell and integrator was used for the compression test of pumpkin seed and its kernel. Individual seeds or kernels were loaded between two parallel plates of the machine (Figure2), compressed at the preset condition until rupture occurred as is denoted by a bioyield point in the force-deformation curve. A typical obtained force-deformation curve for a pumpkin seed is shown in Figure 3. As soon as the bio-yield point was detected, the loading was stopped. According to ASAE [26], 96 series of tests (two varieties: Zaria and Gaboor; four levels of moisture content: 4, 7.8, 14, and 20%; three size categories: small, medium, and large; four loading rates: 2, 5, 8, and 10 mm/min) were conducted. Data on the strength properties were automatically obtained from the integrator.Figure 2
Universal test machine used in the compression test.Figure 3
Typical force-deformation characteristics of pumpkin seed.


### 2.3. Statistical Analysis

The experiments were conducted with four replications for each moisture contents, varieties, size categories, loading rates, and the average values reported. Average, minimum, maximum, standard deviations, and regression equations were computed using Microsoft Excel software (2003). The analysis of variance (ANOVA) was carried out on a completely randomized design with factorial experiment using SPSS16 software. TheF test was used to determine the significance of independent variables, and significant differences of means were compared using the Duncan’s multiple ranges test at 5% significant level.


## 2.1. Sample Preparation

Zaria and Gaboor varieties of pumpkin seed were obtained from different regions of Khorasan Razavi province (north east of Iran) during autumn season in 2010 (Figure1). A mass of twenty kilograms from each variety of pumpkin was collected. At first, the pumpkin seeds were manually cleaned to get rid of foreign materials and broken and immature seeds. To prepare the samples of whole kernels, a part of the seeds equal to 10 kg was randomly separated and manually dehulled from each variety. The initial moisture content of seed and kernel samples was determined using the standard hot air oven method with a temperature setting of 105 ± 1°C for 24 h [20–23]. The initial moisture content of the seeds of Zaria and Gaboor varieties was 7.8% and 7.6% d.b, respectively. In the mean time, the moisture content of the corresponding kernels at this stage was 6.2% and 5.8% d.b., respectively. According to Khodabakhshian et al. [24], the seeds were sieved into three size categories (small, medium, and large) using 5.5, 6.5, and 8 mm square mesh sieves. The elastic modulus of pumpkin seed and its kernel was measured in four moisture content levels in the range of 4 to 20% (d.b.) that is a usual range since harvesting, transportation, storage, and processing operations of pumpkin seed. To provide the seeds and kernels with the desired moisture content, subsamples of both seeds and kernels of each variety and size category, each weighing 0.5 kg, were randomly drawn from the bulk sample and dried (oven method at 75°C for 2 h) or adding calculated quantity of water to the seeds, through mixing and then sealing in separate polyethylene bags of 90 μm thickness. The samples were kept at 5°C in a refrigerator for 7 days to distribute the moisture uniformly throughout the sample. Before starting the tests, the required quantities of seed and kernel were taken out of frig and allowed to warm up to room temperature for approximately 2 h [20, 24, 25].Figure 1
The size categories of two Iranian varieties of pumpkin seed.


## 2.2. Elastic Modulus Measurement

An Instron Universal Testing Machine (Model H5KS, Tinius Olsen Company) equipped with a 500 N compression load cell and integrator was used for the compression test of pumpkin seed and its kernel. Individual seeds or kernels were loaded between two parallel plates of the machine (Figure2), compressed at the preset condition until rupture occurred as is denoted by a bioyield point in the force-deformation curve. A typical obtained force-deformation curve for a pumpkin seed is shown in Figure 3. As soon as the bio-yield point was detected, the loading was stopped. According to ASAE [26], 96 series of tests (two varieties: Zaria and Gaboor; four levels of moisture content: 4, 7.8, 14, and 20%; three size categories: small, medium, and large; four loading rates: 2, 5, 8, and 10 mm/min) were conducted. Data on the strength properties were automatically obtained from the integrator.Figure 2
Universal test machine used in the compression test.Figure 3
Typical force-deformation characteristics of pumpkin seed.


## 2.3. Statistical Analysis

The experiments were conducted with four replications for each moisture contents, varieties, size categories, loading rates, and the average values reported. Average, minimum, maximum, standard deviations, and regression equations were computed using Microsoft Excel software (2003). The analysis of variance (ANOVA) was carried out on a completely randomized design with factorial experiment using SPSS16 software. TheF test was used to determine the significance of independent variables, and significant differences of means were compared using the Duncan’s multiple ranges test at 5% significant level.


## 3. Results and Discussion

The variance analysis of the data indicated that all the studied variables namely moisture content, variety, size, and loading rate exhibited a significant effect on the modulus of elasticity for both seed and kernel of pumpkin (P<0.99). Based on the statistical analyses, the interaction effect of moisture content × variety and loading rate × variety on the modulus of elasticity of pumpkin seed was not significant at 1% level, while created a significant effect on modulus of elasticity for kernel (P<0.99). Also, the interaction effect between variety and size, loading rate and size, moisture content and size, and also between moisture content and loading rate was found to have significant effects (P<0.99) on the modulus of elasticity for both seed and kernel of pumpkin. Variance analysis of data for seed also indicated that all three interaction effects of the variables with the exception of interaction effect of moisture content × size × loading rate were not significant. However, all three interaction effects of the variables showed significant effect (P<0.99) on elastic modulus of pumpkin kernel. Moreover, variance analysis of data for both seed and kernel indicated an interaction effect at 1% level among variety, moisture content, size, and loading rate. In the following sections, the effects of each variable on the modulus of elasticity of pumpkin seed and its kernel are comprehensively discussed.


### 3.1. Size

Stepwise analysis of the obtained results revealed that among the studied variables including variety, moisture content, size category, and loading rate, the dominant factor on the elastic modulus of the seed and also kernel is the size. The variation of elastic modulus of seed and kernel at different size categories is shown in Figure4. As it can be seen from this figure, the elastic modulus of pumpkin seed and its kernel increased as size increased from small to large. In other words, the average elastic modulus of large seeds was around 2.46 times more than that of small seeds. In the same way, the average elastic modulus of large kernels was about 3.77 times more than the small kernels. This trend can be related to the geometric mean diameter of sample (seed or kernel). Also, it can be attributed to the mass of the individual seed or kernel per unit volume with size category. On the other hand, the discrepancies between the elastic modulus of seeds and their kernels can be related to the cell structure and the variation of physical properties in seeds and kernels. This justification has been proved by Khodabakhsina et al. [24] on engineering properties of sunflower seed and its kernel. The increasing trend of elastic modulus with the increase of size was also observed for pea [15]. It has been reported that the size of pea influenced its elastic modulus significantly.Figure 4
Effect of size on elastic modulus of pumpkin seed and its kernel.


### 3.2. Variety

The variation of elastic modulus at different size categories of the investigated varieties of pumpkin seed and its kernel is shown in Table1. According to this table, the changes in variety significantly influenced the elastic modulus of seed and kernel (P<0.05). Moreover, the elastic modulus of Gaboor variety was about 1.5-fold of Zaria variety of pumpkin seed. Furthermore, the average elastic modulus of Gaboor variety of kernels was significantly more than Zaria variety of pumpkin seed (around 1.85 times). The differences in elastic modulus between the studied varieties could be the result of the individual cultivars properties and different environmental and growth conditions of cultivars. No reported results for elastic modulus of pumpkin seed were found to compare with the results obtained in this study. However, in agreement with these results, a few results can be found in the literature for some grains with some way similarity. For instance, Kiani et al. [18] found that the elastic modulus of red bean varied with variety. They reported the average values of 177.3 and 160.2 MPa for the Goli and Akhtar variety of red bean, respectively. In addition, Khodabakhsina et al. [24] reported that variety has a significant influence on the mechanical properties of sunflower seed and its kernel.Table 1
Mean comparison of elastic modulus (Mpa) of pumpkin seed and kernel considering the interaction effect of variety and size.
ProductSizeVarietyZariaGaboorSeedLarge88.455a116.735dMedium54.911b83.191eSmall27.534c55.814fKernelLarge64.118a100.835dMedium38.287b67.288eSmall7.761c35.98fThe means with the same letter is not significant at 5% level according to Duncan’s multiple ranges test.


### 3.3. Moisture Content

The elastic modulus of pumpkin seed and its kernel at different moisture contents and size categories is shown in Table2. As it can be seen, rising moisture from 4% to 20% d.b. showed a decreasing trend in the elastic modulus for both seed and kernel in the cases of size category. In fact, at higher moisture content, the seeds become softer and demand less force. Also, the trend of decreasing elastic modulus at higher moisture contents of kernel may be attributed to a gradual change in the integrity of the cellular matrix. These conclusions are consistent with the findings of Kiani et al. [18] and Burubai et al. [17] who reported that elastic modulus of red bean and African nutmeg decreased linearly with the increase of moisture content. Burubai et al. [17] reported that the modulus of elasticity of African nutmeg was observed to decrease from an average value of 201.5 to 41.30 Mpa, as moisture content increased from 8 to 28.7% (d.b.). These results also agree with the results of Misra and Young [10]. They reported a functional relationship between the modulus of elasticity and moisture content of soybean. They reported that the modulus of elasticity decreased and approached a constant minimum, with the increase in moisture content of soybean. In addition, the results of this section are in agreement with the findings of many researchers who considered the effect of moisture content on mechanical properties of biological products [24, 25, 27–32]. According to Table 2, the maximum elastic modulus of pumpkin seed was 117.48 Mpa, at 4% moisture content and large size. This is significantly more than the elastic modulus of seed at 20% moisture content of the same size (around 1.32 times). The same proportion was observed for the corresponding kernel (around 1.56).Table 2
Mean comparison of elastic modulus (Mpa) of pumpkin seed and its kernel considering interaction effect of moisture content and size.
ProductMoisture content (%)Size categoryLargeMediumSmallSeed4117.48a81.01b50.49c7.8105.74d73.43e44.09f1497.99g64.24h36.42i2089.16j57.51k35.69iKernel4101.58a65.11b32.65c7.889.84d57.53e25.76f1473.26g48.34h17.84i2065.21j40.17k11.23lThe means with the same letter is not significant at 5% level according to Duncan’s multiple ranges test.


### 3.4. Loading Rate

The effect of loading rate on modulus of elasticity was determined for four loading rates namely 2, 5, 8, and 10 mm/min. The elastic modulus of pumpkin seed and also its kernel decreased as the loading rate increased (Table3). Burubai et al. [17] observed a negative trend for elastic modulus of African nutmeg with the loading rate. They reported the average value of 135.51 and 120.46 Mpa at 1 and 7 mm/min, respectively. However, Kiani et al. [18] observed that elastic modulus of red bean grain increased with increasing loading rate from 3 to 15 mm/min, for two varieties named Goli and Akhtar. The discrepancies in observed behaviors could be related to the differences in surface roughness of grains or seeds. Investigating the interaction effect of loading rate, moisture content, and variety on modulus of elasticity of both seed and kernel of pumpkin (Table 3) showed that the most differences between varieties belong to Gaboor variety at 4% moisture content and 2 mm/min loading rate. Also, it is denoted that the least differences between varieties belong to Zaria variety at 20% moisture content and 10 mm/min loading rate. In general, the mean values indicate that loading rate, variety, and moisture content produce a significant effect on elastic modulus of both seed and kernel (P<0.05).Table 3
Mean comparison of elastic modulus (Mpa) of pumpkin seed and its kernel considering interaction effect of loading rate, variety, and moisture content.
VarietyMoisture content (%)Loading rate (mm/min)25810SeedKernelSeedKernelSeedKernelSeedKernelZaria473.55a56.38n70.35e53.29r66.99i49.61t64.53k47.37v7.863.66b45.83o60.91f43.51o59.08f42.11o57.47l40.27w1456.68c38.52p53.35g35.9s50.79j34.3s47.48m32.04x2050.28d30.71q47.9h29.06q45.39h27.11u43.04h27.71uGaboor4101.83a85.93o98.63e82.73s95.27i79.37w92.80l76.91z7.891.95b76.05p89.19f73.29t87.36j71.46t85.75j69.11t1484.96c67.81q81.63g64.42v79.07g62.28x75.76m59.55μ2078.56d58.37r76.2h56.02r73.67k53.66y71.32n51.41αThe means with the same letter is not significant at 5% level according to Duncan’s multiple ranges test.The multi variables regression showed that the elastic modulus of pumpkin (both seed and kernel) can be strongly correlated to variables under study (variety, moisture content, loading rate and size category). The results are shown in Table4. As it is seen, both relationships had high enough coefficient of determination that can be beneficial in estimating modulus of elasticity for the design purpose of processing machineries such as dehulling of pumpkin seed and oil extraction from its kernel.Table 4
The modulus of elasticity (E) of pumpkin seed and its kernel as a function of variety (V), moisture content (M), loading rate (L), and size category (S).
ProductRelationshipR2SeedE=114.89+28.28V-7.48M-30.46S-2.63L-2.96V2-0.96M2+3.25S2+0.06L2-0.028VM-0.082VS-0.24MS-0.025VL+0.018ML+0.75SL+0.022VMS+0.022VML+0.015MSL+0.005VSL0.006VMSL0.98KernelE=89.94+31.31V-8.86M-30.30S-0.71L-1.02V2-1.12M2+2.81S2+0.02L2-0.013VM-0.012VS-0.05MS-0.001VL+0.008ML+0.24SL+0.012VMS+0.002VML+0.003MSL+0.011VSL0.008VMSL0.98R2: determination coefficient.


## 3.1. Size

Stepwise analysis of the obtained results revealed that among the studied variables including variety, moisture content, size category, and loading rate, the dominant factor on the elastic modulus of the seed and also kernel is the size. The variation of elastic modulus of seed and kernel at different size categories is shown in Figure4. As it can be seen from this figure, the elastic modulus of pumpkin seed and its kernel increased as size increased from small to large. In other words, the average elastic modulus of large seeds was around 2.46 times more than that of small seeds. In the same way, the average elastic modulus of large kernels was about 3.77 times more than the small kernels. This trend can be related to the geometric mean diameter of sample (seed or kernel). Also, it can be attributed to the mass of the individual seed or kernel per unit volume with size category. On the other hand, the discrepancies between the elastic modulus of seeds and their kernels can be related to the cell structure and the variation of physical properties in seeds and kernels. This justification has been proved by Khodabakhsina et al. [24] on engineering properties of sunflower seed and its kernel. The increasing trend of elastic modulus with the increase of size was also observed for pea [15]. It has been reported that the size of pea influenced its elastic modulus significantly.Figure 4
Effect of size on elastic modulus of pumpkin seed and its kernel.


## 3.2. Variety

The variation of elastic modulus at different size categories of the investigated varieties of pumpkin seed and its kernel is shown in Table1. According to this table, the changes in variety significantly influenced the elastic modulus of seed and kernel (P<0.05). Moreover, the elastic modulus of Gaboor variety was about 1.5-fold of Zaria variety of pumpkin seed. Furthermore, the average elastic modulus of Gaboor variety of kernels was significantly more than Zaria variety of pumpkin seed (around 1.85 times). The differences in elastic modulus between the studied varieties could be the result of the individual cultivars properties and different environmental and growth conditions of cultivars. No reported results for elastic modulus of pumpkin seed were found to compare with the results obtained in this study. However, in agreement with these results, a few results can be found in the literature for some grains with some way similarity. For instance, Kiani et al. [18] found that the elastic modulus of red bean varied with variety. They reported the average values of 177.3 and 160.2 MPa for the Goli and Akhtar variety of red bean, respectively. In addition, Khodabakhsina et al. [24] reported that variety has a significant influence on the mechanical properties of sunflower seed and its kernel.Table 1
Mean comparison of elastic modulus (Mpa) of pumpkin seed and kernel considering the interaction effect of variety and size.
ProductSizeVarietyZariaGaboorSeedLarge88.455a116.735dMedium54.911b83.191eSmall27.534c55.814fKernelLarge64.118a100.835dMedium38.287b67.288eSmall7.761c35.98fThe means with the same letter is not significant at 5% level according to Duncan’s multiple ranges test.


## 3.3. Moisture Content

The elastic modulus of pumpkin seed and its kernel at different moisture contents and size categories is shown in Table2. As it can be seen, rising moisture from 4% to 20% d.b. showed a decreasing trend in the elastic modulus for both seed and kernel in the cases of size category. In fact, at higher moisture content, the seeds become softer and demand less force. Also, the trend of decreasing elastic modulus at higher moisture contents of kernel may be attributed to a gradual change in the integrity of the cellular matrix. These conclusions are consistent with the findings of Kiani et al. [18] and Burubai et al. [17] who reported that elastic modulus of red bean and African nutmeg decreased linearly with the increase of moisture content. Burubai et al. [17] reported that the modulus of elasticity of African nutmeg was observed to decrease from an average value of 201.5 to 41.30 Mpa, as moisture content increased from 8 to 28.7% (d.b.). These results also agree with the results of Misra and Young [10]. They reported a functional relationship between the modulus of elasticity and moisture content of soybean. They reported that the modulus of elasticity decreased and approached a constant minimum, with the increase in moisture content of soybean. In addition, the results of this section are in agreement with the findings of many researchers who considered the effect of moisture content on mechanical properties of biological products [24, 25, 27–32]. According to Table 2, the maximum elastic modulus of pumpkin seed was 117.48 Mpa, at 4% moisture content and large size. This is significantly more than the elastic modulus of seed at 20% moisture content of the same size (around 1.32 times). The same proportion was observed for the corresponding kernel (around 1.56).Table 2
Mean comparison of elastic modulus (Mpa) of pumpkin seed and its kernel considering interaction effect of moisture content and size.
ProductMoisture content (%)Size categoryLargeMediumSmallSeed4117.48a81.01b50.49c7.8105.74d73.43e44.09f1497.99g64.24h36.42i2089.16j57.51k35.69iKernel4101.58a65.11b32.65c7.889.84d57.53e25.76f1473.26g48.34h17.84i2065.21j40.17k11.23lThe means with the same letter is not significant at 5% level according to Duncan’s multiple ranges test.


## 3.4. Loading Rate

The effect of loading rate on modulus of elasticity was determined for four loading rates namely 2, 5, 8, and 10 mm/min. The elastic modulus of pumpkin seed and also its kernel decreased as the loading rate increased (Table3). Burubai et al. [17] observed a negative trend for elastic modulus of African nutmeg with the loading rate. They reported the average value of 135.51 and 120.46 Mpa at 1 and 7 mm/min, respectively. However, Kiani et al. [18] observed that elastic modulus of red bean grain increased with increasing loading rate from 3 to 15 mm/min, for two varieties named Goli and Akhtar. The discrepancies in observed behaviors could be related to the differences in surface roughness of grains or seeds. Investigating the interaction effect of loading rate, moisture content, and variety on modulus of elasticity of both seed and kernel of pumpkin (Table 3) showed that the most differences between varieties belong to Gaboor variety at 4% moisture content and 2 mm/min loading rate. Also, it is denoted that the least differences between varieties belong to Zaria variety at 20% moisture content and 10 mm/min loading rate. In general, the mean values indicate that loading rate, variety, and moisture content produce a significant effect on elastic modulus of both seed and kernel (P<0.05).Table 3
Mean comparison of elastic modulus (Mpa) of pumpkin seed and its kernel considering interaction effect of loading rate, variety, and moisture content.
VarietyMoisture content (%)Loading rate (mm/min)25810SeedKernelSeedKernelSeedKernelSeedKernelZaria473.55a56.38n70.35e53.29r66.99i49.61t64.53k47.37v7.863.66b45.83o60.91f43.51o59.08f42.11o57.47l40.27w1456.68c38.52p53.35g35.9s50.79j34.3s47.48m32.04x2050.28d30.71q47.9h29.06q45.39h27.11u43.04h27.71uGaboor4101.83a85.93o98.63e82.73s95.27i79.37w92.80l76.91z7.891.95b76.05p89.19f73.29t87.36j71.46t85.75j69.11t1484.96c67.81q81.63g64.42v79.07g62.28x75.76m59.55μ2078.56d58.37r76.2h56.02r73.67k53.66y71.32n51.41αThe means with the same letter is not significant at 5% level according to Duncan’s multiple ranges test.The multi variables regression showed that the elastic modulus of pumpkin (both seed and kernel) can be strongly correlated to variables under study (variety, moisture content, loading rate and size category). The results are shown in Table4. As it is seen, both relationships had high enough coefficient of determination that can be beneficial in estimating modulus of elasticity for the design purpose of processing machineries such as dehulling of pumpkin seed and oil extraction from its kernel.Table 4
The modulus of elasticity (E) of pumpkin seed and its kernel as a function of variety (V), moisture content (M), loading rate (L), and size category (S).
ProductRelationshipR2SeedE=114.89+28.28V-7.48M-30.46S-2.63L-2.96V2-0.96M2+3.25S2+0.06L2-0.028VM-0.082VS-0.24MS-0.025VL+0.018ML+0.75SL+0.022VMS+0.022VML+0.015MSL+0.005VSL0.006VMSL0.98KernelE=89.94+31.31V-8.86M-30.30S-0.71L-1.02V2-1.12M2+2.81S2+0.02L2-0.013VM-0.012VS-0.05MS-0.001VL+0.008ML+0.24SL+0.012VMS+0.002VML+0.003MSL+0.011VSL0.008VMSL0.98R2: determination coefficient.


## 4. Conclusion

Statistically, variation in moisture  content, size, and loading rate as well as pumpkin variety (Zaria and Gaboor) either individually or in combination (interaction) was significantly influenced by the modulus of elasticity (P<0.01). In general, negative correlations were observed between elastic modulus of pumpkin seed and also its kernel and moisture content as well as loading rate. In other words, their elastic modulus decreased with increasing moisture content from 4% to 20% d.b. and also decreased with the increase of loading rate from 2 to 10 mm/min for all studied varieties and size categories. On the other hand, a direct correlation was observed between elastic modulus of pumpkin seed and also its kernel with size category from small to large. However, the modulus of elasticity of seeds was significantly higher than that of kernels in all levels of moisture content, variety, loading rate, and size category.



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*Source: 271650-2012-02-21.xml*