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    CERAMIC TILES FROM Crassostrea iredalei (OYSTER) SHELLS

    ____________________________

    A Research Paper presented to the Faculty

    of the Department of Physical Sciences

    Philippine Normal University

    ____________________________

    In partial fulfillment of the requirements for the degree of

    Bachelor of Secondary Education

    Major in Chemistry

    ____________________________

    by

    April Mae V. Agbayani

    Allen A. Espinosa

    November 2006

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    CERTIFICATE OF APPROVAL

    This research paper entitled CERAMIC TILES FROM Crassostrea iredalei

    (OYSTER) SHELLS by April Mae V. Agbayani and Allen A. Espinosa in partial

    fulfillment of the requirements for the degree Bachelor of Secondary Education Major in

    Chemistry, has been examined and recommended for acceptance and approval.

    VIC MARIE I. CAMACHO

    Research Adviser

    NELSON GARCIA ADOLFO P. ROQUE

    Panel Panel

    REBECCA C. NUEVA ESPAA

    Chair

    This research paper is accepted and approved in partial fulfillment of the

    requirements for the degree of Bachelor of Secondary Education Major in Chemistry.

    MARIE PAZ E. MORALES

    Date Head, Department of Physical Sciences

    PHILIPPINE NORMAL UNIVERSITY

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    ACKNOWLEDGEMENT

    We wish to thank the following persons and institutions that, in one way or

    another, helped make this research study a success:

    Dr. Rebecca C. Nueva Espaa, our Chemical Research mentor and chair of the

    board of panelist, for sharing her expertise in Chemical Research and the research process

    as well.

    Prof. Vic Marie I. Camacho, our research adviser, for her guidance and assistance

    while in the process of doing our research.

    Prof. Nelson Garcia, our panel, for his guidance and assistance while doing our

    methodology or experimentation. For always reminding us of a certain lesson in life, that

    is, there are ideas that are possible and that there are also ideas which are not possible and

    that we have to think critically before pursuing something and the ones we done wrong

    should serve as a lesson so we might not repeat it.

    Prof. Adolfo P. Roque, our panel, for sharing his ideas regarding our research.

    Engr. Benito D. Shea of the Department of Mining, Geology and Ceramics

    Engineering of Adamson University for sharing his knowledge and for guiding us in our

    methodology.

    Prof. Cecilia F. Reynales, Senior Science Research Specialist of the Materials

    Science Division of the Department of Science and Technology for explaining to us what

    had happened to our research.

    Prof. Antonio G. Dacanay, our statistics mentor, for lending us statistics book.

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    Genelita P. Gallenito and Antonio V. Lumbo III, student assistants of the

    Department of Mining, Geology and Ceramics Engineering of Adamson University for

    patiently assisting us in the ceramics engineering laboratory.

    Mr. Ronnel Pantig, SRC technician, for patiently providing materials and

    chemicals needed in our experimentation.

    Dr. Susan R. Arco and Dr. Florian R. del Mundo of the Institute of Chemistry of

    the University of the Philippines and Prof. Gilbert U. Yu of the Department of Chemistry

    of the Ateneo de Manila University for giving ideas and possible topics for research

    while in the process of searching for a subject for research.

    Ma. Jesusa O. Araneta, our classmate, for sharing her Bato-Balani journal which

    has been a great help to the researchers.

    Reinier Augustus S. Isidro and Sherryl R. Jamito, our kuya and ate, for providing

    us a soft copy of their research paper about concrete blocks.

    The family of April Mae V. Agbayanis husband, Allan Ray Berganos, especially

    Mr. Loloy Berganos for helping us do some of the laborious parts.

    Leah Mae G. Cariquitan, Christina C. Cuevas, Lea B. Florendo, Vivian Mary S.

    Palma and Carla Mari A. Pareja, our dear classmates, for helping us transport our

    research materials from PNU to AdU and vice versa.

    Department of Science and Technology - Industrial Technology Development

    Institute Library for providing us lots of information regarding ceramic tile making.

    University of the Philippines College of Science Library for providing us lots of

    information about Crassostrea iredalei (oyster) shell.

    Our dear classmates, for the friendship and encouragement.

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    Our family, for the unconditional love, understanding and support they extended

    to us.

    Our Creator, for giving us life, for us to experience the sweetness and bitterness of

    living which have certainly made us better persons.

    A. M. V. A

    A. A. E

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    ABSTRACT

    This research study entitled Ceramic Tiles from Crassostrea iredalei (Oyster)

    Shells aimed to investigate the feasibility of the Crassostrea iredalei (oyster) shell as

    base for ceramic tile making. The Crassostrea iredalei (oyster) shell were substituted to

    silica sand in 40%, 50%, 60%, 100% and 0% substitution respectively. Slip casting was

    the forming method used in producing the tile body. Three firing procedures were utilized

    using the bisquit and glost firing. The produced tiles were subjected to impact strength

    and porosity tests. In the one-way ANOVA used in the study for comparing the said

    physical properties of the produced tiles with that of the commercial tiles, it shows that

    tile C3 is the most feasible among all the experimental tiles. Meaning, it is the only tile

    that is comparable with the commercial tiles in terms of impact strength and porosity.

    This also shows the feasibility of producing tile with 60% concentration of calcium

    carbonate and with a bisquit firingglazingglost firingproduct firing procedure.

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    TABLE OF CONTENTS

    Title Page i

    Approval Sheet ii

    Acknowledgement iii

    Abstract vi

    List of Figures ix

    List of Tables x

    List of Appendices xii

    Chapter

    1 Introduction 1

    Objectives of the Study 2

    Significance of the Study 2

    Scope and Limitations of the Study 3

    Definition of Terms 3

    2 Crassostrea iredalei (Oyster) Shell: Chemical Components and Uses 4

    Ceramic Tile Production 7

    Physical Properties of Ceramic Products on the Fired State 13

    Local Studies

    Nata de Coco Reinforced Styrofoam as Tiles 18

    Feasibility of Foam Polystyrene and Powdered

    Talaba Shells as Tiles 19

    3 Materials and Reagents 21

    Research Design 22

    Phase I: Preparation of Ceramic Tiles from Oyster Shells

    Gathering of Samples 23

    Mold Making 23

    Preparation of Mixtures 24

    Molding and Drying 24

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    Glaze Preparation 25

    Glaze Application 25

    Firing Technology 25

    Phase II: Tests on Physical Properties

    Test for Impact Strength 26

    Test for Porosity 27

    4 Results and Discussions 28

    5 Conclusion and Recommendations 46

    Bibliography 48

    Appendices

    A Raw Data and Computations for Impact Strength Test 50

    B Raw Data and Computations for Porosity Test 58

    C Research Pictorials 66

    Curriculum Vitae 70

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    LIST OF FIGURES

    Figure

    2.1 Crassostrea iredalei (oyster) shell

    2.2 Decomposition of calcium carbonate (CaCO3) into calcium oxide (CaO)

    and carbon dioxide (CO2) at a very high temperature

    2.3 Pulverized Crassostrea iredalei (oyster) shell

    2.4 Process of ceramic tiles production

    3.1 The schematic diagram of the entire research

    3.2 The dimensions of the tile molder

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    LIST OF TABLES

    Table

    2.1 Chemical Components of Crassostrea iredalei (Oyster) Shell

    4.1 Description of Mixtures, Molding and Drying

    4.2 Firing Technology

    4.3 Result of Impact Strength Test for Control Tiles F and G

    4.4 Result of Impact Strength Test for Mixture A

    4.5 Summary of one-way ANOVA applied to tile A2 versus tile F or G

    4.6 Result of Impact Strength Test for Mixture B

    4.7 Summary of one-way ANOVA applied to tile B3 versus tile F or G

    4.8 Result of Impact Strength Test for Mixture C

    4.9 Summary of one-way ANOVA applied to tile C3 versus tile F or G

    4.10 Result of Impact Strength Test for Mixture E

    4.11 Summary of one-way ANOVA applied to tile E1 versus tile F or G

    4.12 Result of porosity test (in percent apparent porosity, %Pa) for control tiles

    F and G

    4.13 Result of porosity test (in percent apparent porosity, %Pa) for mixture A

    4.14 Summary of one-way ANOVA applied to tile A2 versus tile F

    4.15 Result of porosity test (in percent apparent porosity, %Pa) for mixture B

    4.16 Summary of one-way ANOVA applied to tile B1 versus tile F

    4.17 Result of porosity test (in percent apparent porosity, %Pa) for mixture C

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    4.18 Summary of one-way ANOVA applied to tile C3 versus tile F

    4.19 Result of porosity test (in percent apparent porosity, %Pa) for mixture E

    4.20 Summary of one-way ANOVA applied to tile E1 versus tile F

    4.21 Summary of results for the best tiles produced

    4.22 Cost of materials utilized in the study

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    LIST OF APPENDICES

    Appendix

    A Raw Data and Computations for Impact Strength Test

    B Raw Data and Computations for Porosity Test

    C Research Pictorials

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    Chapter 1

    INTRODUCTION

    Building commercial and residential infrastructures in our country is fast growing.

    One of the building materials is ceramic tile that is used as floorings in bathrooms, dining

    area, function halls, etc. Because of this, there is a demand of ceramic tiles and its

    industry is booming.

    On the other hand, every year, various solid wastes in our country have been a

    great problem to our government. One example is the shells of Crassostrea iredalei

    commonly known as oyster found near the seashores. It makes the seashore looks grimy

    and its foul odor when fresh is disgusting which is not inviting local and foreign tourists

    to visit tourist spots like beaches. It also serves as silt for reproduction of flies and other

    oil-causing insects, which are carriers of disease-causing bacteria and viruses.

    These shells are known fossil that contains ninety seven and a half percent

    (97.5%) calcium carbonate (CaCO3)1, which is a good source of calcium oxide (CaO)

    that made these shells rigid and firm. The presence of calcium carbonate (CaCO3) would

    make it an ideal component for tiles.

    This information brought the idea to the researchers to use the Crassostrea

    iredalei (oyster) shells as raw material for ceramic tile making. Due to its high

    concentration of calcium carbonate (CaCO3), the proponents therefore would like to

    substitute it for the main material in ceramic tile making.

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    Objectives of the Study

    The main objective of the study is to investigate the feasibility of the Crassostrea

    iredalei (oyster) shell as base for ceramic tile making. Specifically, it aims to:

    a. Utilize Crassostrea iredalei (oyster) shells as substitute to silicon dioxide (silica

    sand) in ceramic tile making;

    b. Test the physical properties of the produced ceramic tiles:

    i. Impact Strength;

    ii. Porosity: and

    c. Compare the ceramic tile made of Crassostrea iredalei (oyster) shells to

    commercially available ones such as the Mariwasa Ceramic Tiles and Floor

    Center Ceramic Tiles in terms of impact strength and porosity.

    Significance of the Study

    This study was conducted to eliminate solid waste pollution caused by

    Crassostrea iredalei (oyster) shells on the seashores by recycling it. Moreover, it can also

    prevent the rapid growth of population of insects like mosquitoes living in the shells,

    which are carriers of disease-causing bacteria and viruses. In addition, new product

    means new opportunity for export and new hope for economic progress.

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    Scope and Limitations of the Study

    The focus of the study is on the utilization of Crassostrea iredalei (oyster) shells

    as raw material for ceramic tiles. The process of ceramic tile making including tests on

    properties such as impact strength and porosity are therefore incorporated in the study.

    Definition of Terms

    Ceramic tile is the tile made from Crassostrea iredalei (oyster) shell and some basic

    components of a commercially available ceramic tile.

    Impact Strength is the ability of ceramic material to bear crushing loads.

    Oyster shells are the shells derived from Crassostrea iredalei.

    Porosity is the penetration of liquids and vapors through the material that usually

    causes structural damage.

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    Chapter 2

    REVIEW OF RELATED LITERATURE

    This section includes literature concerning the topic that the researchers deemed

    important and relevant. It encompasses some background on Crassostrea iredalei

    (oyster) shells and the process of ceramic tile making. Also, it includes local studies on

    tiles made from locally available materials.

    Crassostrea iredalei (Oyster) Shell: Chemical Components and Uses

    According to studies, ninety seven and a half percent (97.5%) of the chemical

    components of Crassostrea iredalei (oyster) shell are calcium carbonate (CaCO3) or

    limestone.1 It is embedded between the layers of an organic substance known as

    conchiolin.2 Calcium carbonate (CaCO3) is a compound used in brick making for its high

    compressive strength and boiling point.3 The presence of calcium carbonate (CaCO3) in

    the shells indicates that it could be used as a source of calcium oxide (CaO), which was

    shown to strengthen blocks and dental fillings.

    Figure 2.1 Crassostrea iredalei (oyster) shell

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    Table 2.1 Chemical Components of Crassostrea iredalei (Oyster) Shell1

    CaCO3 (calculated from Ca) 97.5 % Boron 1400 ppm

    Calcium 39.00 % Titanium 100 ppm

    Silica as SiO2 (calculated from Si) < 0.01 % Lead less than 15 ppm

    Sodium 9200 ppm Copper 9 ppm

    Magnesium 1400 ppm Lithium less than 10 ppm

    Iron 430 ppm Arsenic less than 2.50 ppm

    Strontium 1400 ppm Nickel 75 ppm

    Manganese 430 ppm Heavy metals as Pb less than 20 ppm

    Aluminum 3500 ppm

    On a physical analysis done, calcium carbonate is found to have a dry brightness

    of 92.1, moisture at 105C of 0.084%, oil absorption of 18.9g oil per 100g of oil,

    specific surface area of 0.423m2/g, weight/solid per gallon of 23.1lbs, specific gravity of

    2.71, pH of 9.8, hexagonal particle shape, and density of 1.1 g/cm3. Its general uses

    includes synthetic/cultured marble, ceramic floor tiles, stucco, caulking compound,

    building products, polishing compound, grouting and thin set mortars, abrasive in

    powdered cleansers, sealants, adhesives, putty, and glues, paints (water-based), animal

    feeds, insecticides, plastics, PVC pipes, carpet underlays and paper.4

    Other than being a good ingredient in strengthening tiles, researchers in Florida,

    USA and Korea have developed and successfully tested a new process to convert waste

    oyster shells into a compound that cleanses water of phosphorus, a common pollutant in

    urban, agricultural and industrial runoff. Heating the shells at very high temperatures in a

    nitrogen-rich atmosphere for about an hour efficiently converts their contents into a form

    of calcium oxide (CaO). Crushed-up oyster shell forces the phosphorus to leave the

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    solution, become small particles and precipitate out, or fall to the bottom of the tank,

    where it can then be collected and discarded.5

    CaCO3(s) CaO(s) + CO2(g) Hrxn = 178.1 kJ/mol Figure 2.2 Decomposition of calcium carbonate (CaCO3) into calcium oxide (CaO)

    and carbon dioxide (CO2) at a very high temperature.

    Moreover, oyster shells are processed and made into oral calcium supplement

    tablets because of its high calcium content. Studies shown that thirty nine percent (39%)

    of the chemical components of oyster is calcium.1, 6

    Furthermore, oyster shells are crushed into fine particles to be used as an organic

    fertilizer. Studies shown that finely crushed oyster shells raises pH in acidic soils. It also

    has other nutrients and micronutrients, which keeps the natural balance of the soil.7

    Figure 2.3 Pulverized Crassostrea iredalei (oyster) shell.

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    Ceramic Tile Production

    Tiles are similar to bricks. They differ in uses, in shapes, and in finishing. While a

    brick is in the form of a block, a tile is in the form of a sheet. Both are made from the

    same process and materials but the tile may go through glazing which can give it a

    smooth finish. Tiles are used for walls and flooring.8 Figure 2.4 shows the schematic

    diagram of ceramic tile production.

    Ceramics is defined as products made out of clay and other earth materials that

    can be formed or molded into various shapes, then dried and fired into hardness at a

    given temperature.9 Ceramic tile is made of clay. After the formation of the tile body, it

    goes through a firing process.10

    Basic ceramic raw materials include clay, feldspar and

    silica. Clay is an earth material that forms a sticky mass when mixed with water. When

    wet, this mass is readily moldable, but when dried, it becomes hard and brittle and retains

    its shape. When heated to redness, it becomes still harder and is no longer susceptible to

    the action of water. Such a material clearly lends itself to the making of articles of all

    shapes. Clays can be classified into kaolin/white clay and ball clay. Kaolin/white clay is

    the white-burning clay because of its low iron content. Because of its relative purity, it is

    more refractory than other clays. It is the base to which other ingredients are added to

    develop the desirable properties. Its strength varies almost directly with plasticity. 9

    In a

    chemical analysis, kaolin is found to contain 46.87% SiO2, 37.60% Al2O3, 0.27% Fe2O3,

    0.85% TiO2, 0.56% CaO, 0.09% Na2O, 0.10% K2O and 13.7% LOI.11

    Ball Clays are

    extremely plastic clays that fire nearly white though is often black in the raw state. They

    usually contain slightly more impurities than kaolin, but are used to increase the plasticity

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    and workability of the body. In a chemical analysis, ball clay is found to contain 56.74%

    SiO2, 26.94% Al2O3, 1.53% Fe2O3, 1.26% TiO2, 0.25% CaO, 0.64% MgO, 3.42% K2O,

    0.41% Na2O and 8.81% LOI.12

    Feldspars are used as flux in ceramic bodies. When the

    body is fired, the feldspar melts and forms a molten glass that causes the particles of clay

    to cling together. When this glass solidifies, it provides strength and hardness to the body.

    It is also a good source of soda and potash. Chemically, the feldspars are silicates of

    aluminum, containing sodium, potassium, iron, calcium, or barium or combinations of

    these elements. Silica or silicon dioxide in the form of quartz, is used in nearly all

    ceramic bodies for three reasons: to reduce the drying shrinkage and thus help prevent

    cracking of the piece, to give firing qualities by reduction of the firing shrinkage and to

    act as a sort of skeleton to hold the shape of the piece in the kiln. 8

    Silica, along with

    alumina (silica-alumina), forms a major part of the crystal lattice of clay minerals. These

    decompose on firing and form part of the microstructure of clay based ceramics such as

    earthenware, stoneware and porcelain.13

    The proportion of clay (kaolin and ball clay),

    feldspar and silica sand is 40%:30%:30%.14

    Raw materials like clays, talc and other minerals of ceramic tile are quarries and

    refined. Great care is taken in the proper mixture of these materials, as one is critical to

    the success, quality and characteristics of the product produced. Once the raw materials

    are quarries prepared, and properly mixed, the tiles may now be formed. There are few

    common means of forming the tile. First is dust press, wherein an almost dry mixture of

    clays, talc, and other ingredients are pressed into a mold at extremely high pressures.

    Second is extrusion, wherein the ingredients are slightly wetter and are forced through a

    nozzle to form the desired tile shape. Third is slush mold or wet pour, wherein a much

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    wetter mixture of ingredients is poured into a mold to form the desired shape. Fourth is

    rampress, which is very similar to dust press method, except that the size of the tile

    shapes are generally much larger.10

    Pressing is a kind of hand forming method in which

    the clay must be soft enough to flow into the cavity of the mold while under pressure.

    Pressed ware is commonly handled immediately after pressing and must be strong

    enough to retain its shape. 9

    Slip casting method of forming the tile body includes the procedure in where

    sodium silicate is added to the clay mixture as a defloculant which is added to obtain

    good fluidity. Sodium silicate is added 0.3-0.6% of the total weight of the clay mixture on

    the other hand 30-45% of the total weight is water. The specific gravity of the mixture

    should fall within the range of 1.6-1.8. The mesh sieve number of particles should fall

    from 60-80. Plaster of paris (CaSO4 0.5H2O) is commonly used as a molder. 9

    In general, there are essentially three basic production cycles to which the entire

    range of different types of ceramic floor and wall tile can be referred. The first of these

    three production cycles, based on single firing technology, is used to manufacture

    unglazed tile. The types of unglazed tile produced with this production technology are

    cotto, red stoneware, porcelain stoneware and clinker (klinker). The second of these is

    based on double-firing technology, which obtains its name from the fact that two distinct

    firing treatments are employed, i.e. one to consolidate the tile body and the other to

    stabilize the glazes and decorations applied onto the fired tile body.

    This production cycle is used for the manufacture of the

    majolica, cottoforte, and earthenware (white body). The third of these cycles is based on

    single-firing technology. The glazes and decorations are applied onto the dried, but still

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    unfired, tile body. Then it is subjected to a single heat treatment single-firing. During this

    firing, consolidation of the tile body and stabilization of the glazes takes place at the same

    time. This production cycle is use for the manufacture of single-fired whiteware and

    redware (monocottura and monoporosa) and glazed klinker.15

    Glazes constitute an important element of ceramics. It maybe defined as a glassy

    coating melted in place on a ceramic body which may render the body smooth, non-

    porous and of desired color or texture. The primary function of glazes is to give strength

    and durability of products. Likewise, glaze protects ceramic wares from contamination,

    from the action of acids and alkaline and from scratching. They are also used for

    decoration purposes. Lime or calcium oxide (CaO) is an example of a glaze material. Its

    sources are pure calcium carbonate, whiting, limestone, dolomite and anorthite. Lime is a

    principal flux in medium and high temperature glazes but it is not very effective at lower

    temperatures. It contributes stability, hardness and durability.9

    In the preparation of glaze, the universal method is to mix the glaze ingredients with

    water to form a suspension or slip. Weighing of glaze batches should be done in scales of

    good construction. Sensitive and precise to the smallest quantities required. Small

    quantity of glaze batch is prepared in mortar and pestle while in large quantity, pebble

    milling is introduced. 9

    There are several ways of applying glaze slip on ceramic wares. One is dipping which

    involves having a small receptacle filled with glaze into which the ceramic piece is

    immersed into the glaze shaken vigorously to remove surplus of glaze. Another is

    pouring on which a quantity of glaze is poured into a ceramic piece until the surface of

    ware is covered with it. Brushing in which the application is done with the use of soft

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    brush, even strokes are required to attain a good finish. Then, spraying in which the

    application is done with the use of air compressor and spray gun. 9

    Bisquet firing is a technique where the dried ware should be fired to strengthen

    the body's resistance to strain and stress. Firing of wares depends on the product required.

    Porcelain, stoneware, and other wares to be glazed are fired at temperature of 800-900

    degrees Celsius; for bricks, roof tiles, and other earthenware that do not need to be

    glazed, firing temperatures should reach at least its semi-vitreous state at about 900

    degrees Celsius to 1200 degrees Celsius. Firing state should be normal and slow due to

    water smoking, dehydration, and other chemical and physical reactions undergone by the

    body from a dried state to its maturing state. Usually, firing is under an oxidizing flame. 9

    Glost Firing is a technique where bisquet fired walls are glazed and then fired.

    Temperature for glost firing depends on the glaze used. Temperature ranges from 800-

    1050 degrees Celsius; for stoneware and porcelain, temperature ranges from 1150-1380

    degree Celsius. Oxidizing and reducing atmospheres inside the kiln depend on the glaze

    used, tone effect and product required. Usually, the glazed wares are first fired in an

    oxidizing atmosphere up to 1100 degrees Celsius, the wares are fired in reducing flame;

    lastly, the firing becomes slightly reducing or neutral. This step is called reducing firing.

    There are bodies which could be glaze on its green or dried state, then fired. This is called

    monofiring. 9

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    Figure 2.4 Process of ceramic tiles production14

    Pre-mix Clay Body

    Weighing

    Blunging

    Forming (Slip Casting)

    Retouching

    Drying

    Bisquit Firing

    Glaze Application

    Glost Firing

    Quality Control

    Packaging

    + water defloculant

    underglaze decoration application

    brushing, spraying, pouring

  • 25

    Physical Properties of Ceramic Products on the Fired State

    Compressive Strength9

    The compressive strength of a ceramic material is a measure of its ability

    to bear crushing loads. Since ceramics normally break under tension, its true

    compressive strength is difficult to measure. For a correct measurement of the

    compressive strength of a ceramic material, more care in simple preparation

    should be done. In particular, the specimen facing the bearing load must be

    absolutely flat and parallel. If this criterion is not met, the load will be carried

    unevenly by the specimen causing failure at low loads thus giving low

    compressive strengths. Cushioning materials are often used to distribute the load

    uniformly over the bearing surfaces.

    The compressive strength (Sc) is represented by the equation:

    Sc = P / A

    where: P = the crushing load at failure (kg)

    A = the cross sectional area of the test sample (cm2)

    Hardness9

    Hardness is one of the most important properties of ceramics, but because

    of brittleness of ceramic materials hardness is also one of the most difficult

    properties to measure. Several methods have been developed which give fairly

    reliable results. Usually, a diamond stylus is forced into the surface of a ceramic

    specimen under a standard load and depth of penetration is measured. The test is

    run on polished samples employing a forty-five kilograms (45kg) load on the

  • 26

    diamond stylus. Although the numerical difference between alumina samples of

    various compositions is small, the test results are quite reliable.

    The second method and one of the most common tests used for hardness is

    the Mohs scale. This scale uses ten standard minerals, each of which will scratch

    all minerals below it on the scale. Ceramics are rated on this scale by scratch trials

    with the standards: 1) Talc, 2) Gypsum, 3) Calcite, 4) Fluorite, 5) Apatite, 6)

    Orthoclase, 7) Quartz, 8) Topaz, 9) Corundum and 10) Diamond.

    Modulus of Rupture (MOR) 9

    The modulus of rupture is the fracture strength of the materials under a

    bending load. It is one of the quality control tests for the measurement of strength.

    The MOR measurement is made on a long bar of either a rectangular or

    circular cross section; supported near its ends, with a load applied to the central

    portion of the supported span. Any standard testing machine of suitable capacity

    may be used, so long as the specimen is properly mounted. In order to yield

    correct results, the bar must fracture at the center. The MOR is represented by the

    equation:

    MOR= 3/2 (PL/bd2)

    where:

    P= the load required to break the bar (kg)

    L= the span, distance between the outer supports (cm)

    b= the width of the bar (cm)

    d= the depth of the bar (cm)

  • 27

    Using cylindrical bar, the MOR is given by the equation:

    MOR = 8PL / D3

    where: D= the diameter of the cylindrical bar (cm)

    Such a test assumes the pieces to be uniformly strong through all cross

    sections, which is not strictly true. To average out the variations, ten specimens

    are used for the test and individual values with more than 20% variation from the

    average are discarded. The most important factors in the MOR determinations are

    the rate of loading, the ratio of span to specimen thickness, and the specimen

    alignment. The specimen should be carefully aligned in the specimen holder so

    that the latter will not twist during the operation.

    Porosity9

    The porosity of a ceramic sample, particularly a fixed ceramic sample,

    should be carefully controlled. The greater the porosity of a sample, the more

    likely the penetration of liquids and vapors through the materials and usually,

    such penetration is accompanied by structural damage to the product. Example:

    refractories with high porosity will suffer internal chemical attack as a result of

    the penetration of slags into the interior. Also, table-ware that exhibits high

    porosity would absorb various substances during use and becomes permanently

    stained and unsanitary. There are few ceramic products produced today which do

    not have carefully controlled pore structures. Only the open pore volume,

    sometimes called the apparent pore volume, can be directly measured. When this

  • 28

    volume is expressed as a percentage of the bulk volume of the sample, it is called

    the percentage apparent porosity

    % Pa = Vop / Vb x 100

    where: Pa = percentage apparent porosity

    Vop = the volume of open pores (cm3)

    Vb = the bulk volume of the sample (cm3)

    Substituting the weight quantities in the equation, the result is:

    % Pa = Wm Wd / Wm Wmm x 100

    where: Wm = the unsaturated (dry fired/weight/g,kg)

    Wd = the unsaturated weight of the sample ( that is all the open

    pores are filled with water)

    Wmm = the weight of saturated sample when it is submerged in

    liquid for five hours (g, kg)

    Percent Water Absorption9

    Generally, the absorption test is the best single indicator of the quality of a

    ceramic body. It is a measure of the degree of vitrification achieved, in as much

    as, when the firing temperature of a body is increased, its absorption steadily

  • 29

    drops, and, as the absorption decreases, the mechanical strength of the body is

    greatly improved.

    Percentage water absorption is the ratio of the weight of water absorbed

    during saturation to the weight of the sample when it is saturated. It is represented

    by the equation:

    %WA = Wm-WD/WD x 100

    where: WA = percentage water absorption

    Wm = the weight of the water-saturated (g, kg)

    WD = the weight of unsaturated (dry fired) sample (g, kg)

  • 30

    Local Studies

    This section includes literature on tile making using locally available materials

    and the tests conducted to investigate the feasibility of the tiles produced.

    Nata de Coco Reinforced Styrofoam as Tiles16

    The rise of the nata de coco industry and the many uses of the said food product

    prompted a group of students to do research on the said fibrous material. An idea came

    up to use the cellulose fibers of nata de coco to reinforce the common Styrofoam.

    Nata de coco was placed in a large container then boiled in a 25% sodium

    hydroxide solution to remove the noncellulosic material. The mixture was allowed to

    settle for 10-15 minutes until the material had separated. The cellulose was then collected

    and placed in the drying oven for a few minutes to dry. The oven was occasionally

    observed to prevent the sheets from burning. The dried cellulose was then cut into small

    pieces and was placed in the Wiley mill for grinding. The powdered cellulose was then

    stored until the Styrofoam was ready for mixing. The Styrofoam was placed in a

    container and toluene was added to dissolve the material. The powdered cellulose was

    mixed with the Styrofoam and toluene. The mixture was stirred until all the Styrofoam

    had been dissolved into pure polystyrene.

    Four treatments of different ratios of Styrofoam with cellulose were prepared

    during the production; the four mixtures were as follows: 10:90, 15:85, 20:80, and 25:75

    percent of cellulose with Styrofoam, respectively. Pure Styrofoam and pure cellulose

  • 31

    were also held as basis for comparison. The mixtures were mixed very evenly and

    carefully. When the cellulose and Styrofoam were mixed completely in each of the

    different treatments, the resulting polymer blend was poured into aluminum containers.

    The mixtures where then allowed to harden.

    Tests were made to examine the quality of the resulting material. Tests on

    flexibility, flammability, and water absorption were done. The test on flexibility was

    done by noting the expansion of the samples when exposed to the same tension. The

    flammability test was based on whether the tiles are easily burned or not. The water

    absorption test was done by submerging each sample into water and left there for a

    certain time then weighed to note the change in mass. The texture was also observed to

    see which appears to be closest to Styrofoam.

    Through the flexibility, flammability, and water absorption qualitative test and

    with the aid of statistical tests such as Friedmanns statistical test prove that the product

    cannot substitute tiles since they do not possess the properties of commercially produced

    tiles.

    Feasibility of Foam Polystyrene and Powdered Talaba Shells as Tiles17

    The study deals with the recycling of polystyrene foam or foam polystyrene more

    popularly known as Styrofoam. Foam polystyrene (FPS) was reused as an ingredient in

    making tiles. The tiles were made as follows: FPS was mixed with ground talaba shells

    after being dissolved in premium gasoline. This mixture was then placed into molds

    having 2.54 cm x 2.54 cm x 1.27 cm dimensions and was left to air dry. Three mixtures

    of FPS and gasoline with ground talaba shells were prepared. The mixtures have the

  • 32

    ratios of 60:40, 50:50, and 40:40. It was then removed from the molds and sanded into

    tiles having dimensions of one by 2.54 cm x 3.18 cm. The resulting tiles were tested

    (Impact Test) against some commercial tiles involving a test for the breaking of the tiles

    upon receiving the impact of a load. The results showed that the experimental tiles were

    comparable with the control.

    Impact Test

    The strength of the tiles will be tested in the following manner. The tiles would be

    placed on the floor underneath a piece of metal. A load would be dropped on the metal.

    This would be done on each of the tiles with increasing weight. A commercial tile would

    also be tested in this manner to compare its strength with that of the experimental tiles.

    Height = 0.68 m

    Load 1 = 0.587 kg

    Load 2 = 1.1567 kg

    Load 3 = 1.7577 kg

    Rating Scale:

    5 no cracks, no damage

    4 chipped; few cracks

    3 more cracks but did not break into fragments

    2 broke into fragments

    1 extensive damage; crushed

  • 33

    Chapter 3

    METHODOLOGY

    This section includes the details how the study was conducted, that is, the plans

    for different stages, experimentation, tools, special procedures or techniques.

    Materials and Reagents

    For the pulverization of Crassostrea iredalei (oyster) shells, pounding steel is

    used while for the straining of the pounded shells, a metal screen with fine holes (70

    mesh sieve) is used.

    For the preparation of mixtures, basins are used in the mixing of the pounded

    shells with the feldspar, kaolin, ball clay, sodium silicate and water. For further mixing, a

    labo mill is used.

    For master mold making, plaster of paris and water is used.

    For the molding and drying, a mold made of plaster of paris is used.

    For glaze preparation, calcium oxide, carboxymethyl cellulose and water is used.

    For the firing, a firing machine is used.

    For the impact test, a meter stick, loads of different weight and a flat metal are

    used.

    For the porosity and water absorption test, a triple beam balance and a basin are

    used.

  • 34

    Research Design

    Phase I: Preparation of Ceramic Tiles from Crassostrea iredalei (Oyster) Shells

    Figure 3.1 The schematic diagram of the entire research.

    Gathering of Crassostrea iredalei (Oyster) Shells

    Washing of Impurities by Boiling

    Air & Sun Drying

    Pounding/Pulverizing & Filtering/Straining

    Master Mold Making

    Preparation of Mixtures (Slip Casting)

    Experimental

    2:3 (A)

    1:1 (B)

    3:2 (C)

    1:0 (D)

    0:1 (E)

    Molding & Drying

    Glaze Preparation

    Bisquet Firing Final Product

    Glaze Application

    Glost Firing

    Final Product

    Impact Strength Porosity

    Phase II: Test for Physical Properties

  • 35

    Phase I: Preparation of Ceramic Tiles from Crassostrea iredalei (Oyster) Shells

    Gathering of Samples

    The fifty kilograms (50kg) or one (1) sack of Crassostrea iredalei (oyster) shells

    were obtained from the shores of Maragondon, Cavite on August 4, 2006.

    After the shells were collected, it was washed of impurities by boiling. It was

    done for ten (10) minutes and then air-dried and sun-dried for twenty four (24) hours.

    After drying, the shells were pounded using pounding steel. The pounded shells are

    subjected to a screen with fine holes (70 mesh sieve) to allow only the passage of finer

    shell particles. Shells that were left on the screen will be pounded again until such time

    that it pass through the screen with fine holes.

    Mold Making

    Each mixture of plaster of paris was carefully mixed for three (3) to four (4)

    minutes until it is about to start setting. The mixtures composition is three hundred

    grams (300g) of plaster of paris added to sixty-seven milliliters (200mL) of water.

    The mixture was poured in the master mold. The master mold has a plastic

    walling to prevent sticking of the plaster of paris. The mater mold is made up of wood

    and is prepared by a carpenter.

  • 36

    Preparation of Mixtures

    For the experimental group, five (5) different mixtures were made: mixtures A, B,

    C, D and E. The composition of each are: 2:3, 1:1, 3:2, 1:0, 0:1 (pulverized shells : fixed

    mixture of feldspar, kaolin and ball clay ratio of mass). The composition of the fixed

    mixture was 3:2:1 (feldspar : kaolin : ball clay ratio of mass). The composition of mixture

    D was 1:1 (pulverized shells : feldspar ratio of mass). The composition of mixture E was

    0:1 (pulverized shells: fixed mixture of feldspar, kaolin and ball clay ratio of mass).

    Slip Casting was used in the preparation of mixtures. Sodium silicate is added to

    the mixtures. It was 0.5% of the total weight of the clay mixture on the other hand 36% of

    the total weight is water.

    Molding and Drying

    The prepared mixtures were poured into corresponding molds with 4 in x 4 in x

    0.5 in in dimensions. Fifteen (15) replicates were prepared for each mixture. The

    mixtures were left over to dry.

    Figure 3.2 The dimensions of the tile molder

    4 in 4 in

    0.5 in

  • 37

    Glaze Preparation

    Thirty grams (30g) of lime or calcium oxide (CaO) was mixed with seventy

    milliliter (70mL) of water to form a suspension or slip. Three tenths grams (0.3g) of

    commercially prepared carboxymethylcellulose (CMC) was added to it. The mixtures

    specific gravity is checked using a hydrometer. The specific gravity of the mixture was

    1.5.

    Glaze Application

    Brushing glaze application is used. It was done with the use of a soft brush.

    Firing Technology

    Four (4) tiles from mixtures A, B, C, and E are subjected to bisquit firing without

    glaze at a temperature of 900C. They were referred to as A1, B1, C1, and E1.

    Another four (4) tiles from mixtures A, B, C, and E are subjected to glost firing

    with glaze at a temperature of 900C. They were referred to as A2, B2, C2, and E2.

    The last four (4) tiles from mixtures A, B, C, and E are subjected to bisquit firing

    without glaze at a temperature of 900C. The glaze was added to the tile after firing. The

  • 38

    glazed tiles were subjected to glost firing at a temperature of 1100C afterwards. They

    were referred to as A3, B3, C3, D3 and E3.

    Phase II: Tests for Physical Properties

    Tests

    Impact Strength Test

    Two (2) tiles from A1, A2, A3, B1, B3, C1, C2, C3, E1, E2 and E3 and two

    commercially available tiles namely Mariwasa Ceramic Tiles and Floor Center

    Ceramic Tiles which were referred to as F and G respectively are subjected to

    Impact Strength Test.

    The tiles would be placed on the floor underneath a piece of metal. A load

    would be dropped on the metal. This would be done on each of the tiles with

    increasing weight. The weight, height and rating scale is shown below.

    Height = 0.68 m

    Load 1 = 100 g

    Load 2 = 200 g

    Load 3 = 500 g

    Rating Scale:

    50 no cracks, no damage

    40 chipped; few cracks

    30 more cracks but did not break into fragments

    20 broke into fragments

    10 extensive damage; crushed

  • 39

    Porosity Test

    Two (2) tiles from A1, A2, A3, B1, B3, C1, C2, C3, E1, E2 and E3 and two

    commercially available tiles namely Mariwasa Ceramic Tiles and Floor Center

    Ceramic Tiles which were referred to as F and G respectively are subjected to

    Porosity Test.

    Each tile was weighed using a triple beam balance to get its dry fired mass

    (Wm). After weighing, each tile was dipped in water instantaneously to fill the

    open pores then it was weighed again to get its unsaturated mass (Wd). After

    weighing, the tiles were submerged in water for five (5) hours and were weighed

    again to get its saturated mass (Wmm). To get the percent apparent porosity (%Pa),

    the values gathered from weighing was then be substituted to the equation:

    % Pa = Wm Wd / Wm Wmm x 100

  • 40

    Chapter 4

    RESULTS AND DISCUSSIONS

    This section includes facts and figures gathered in the experimentation process of

    utilizing oyster shells as substitute to silica sand in ceramic tile making. The results of the

    study were described in the preceding sections.

    The oyster shells were mixed with five (5) treatments, referred to as mixtures A,

    B, C, D and E. The proportions of each mixture were 2:3, 1:1, 3:2, 1:0 and 0:1

    (pulverized oyster shells : fixed mixture of ball clay feldspar and kaolin ratio of mass)

    respectively. Refer to Table 4.1 for the data.

    Table 4.1 Description of Mixtures, Molding and Drying

    * Pulverized shells: fixed mixture of ball clay, feldspar and kaolin ratio of mass

    Mixture Proportion* No. of Tiles

    Molded

    No. of Tile Body

    Formed Description

    A

    2:3

    12

    12

    When placed in the plaster of

    paris mold, it dries, hardens & forms a tile body.

    B

    1:1

    12

    12

    When placed in the plaster of

    paris mold, it dries, hardens & forms a tile body.

    C

    3:2

    12

    12

    When placed in the plaster of

    paris mold, it dries, hardens

    & forms a tile body.

    D

    1:0

    12

    0

    When placed in the plaster of

    paris mold, it dries but did

    not harden, therefore not

    forming a tile body.

    E

    0:1

    12

    12

    When placed in the plaster of

    paris mold, it dries, hardens

    & forms a tile body.

  • 41

    As shown in Table 4.1, mixtures A, B, C and E dries, hardens and forms a tile

    body. No cracking occurs when removing it in the plaster of paris mold. The said

    mixtures dry because the plaster of paris mold absorbs its water content. On the other

    hand, said mixtures harden & become moldable due to the presence of clays (ball clay

    and kaolin). Mixture B, however, did not form a tile body because it did not harden and it

    did not become moldable, though it dries. Drying of the mixture is due to the plaster of

    paris mold, but because it does not contain clays, it did not harden and it did not become

    moldable. It cracks when removing it to the plaster of paris mold. Mixture D contains

    feldspar only whose function is to provide strength and hardness to the tile body which is

    limited to the fired state of the tile.

    Firing Technology

    Three firing procedures were done. Different subscripts were used to indicate the

    firing procedure done on the tile. The subscript 1 indicates that the tile undergone bisquit

    firingproduct procedure. In contrast, the subscript 2 indicates that the tile underwent

    glazingglost firingproduct procedure. Nonetheless, the subscript 3 indicates that the

    tile go through bisquit firingglazingglost firingproduct procedure. Refer to table

    4.2 for the data gathered.

  • 42

    Table 4.2. Firing Technology

    Mixture Groups*

    No.

    of

    tiles

    fired

    No. of

    tiles

    produced

    No. of

    tiles that

    broke into

    fragments

    Description

    A

    A1 4 4 0 no cracks,

    no damage

    A2 4 4 0

    few cracks,

    little

    damage

    A3 4 4 0

    few cracks,

    little

    damage

    B

    B1

    4 4 0

    no cracks,

    no damage

    B2 4 0 4

    broke into

    fragments,

    extensive

    damage

    B3 4 4 0

    few cracks,

    little

    damage

    C

    C1 4 4 0 few cracks,

    brittle

    C2 4 4 0 few cracks,

    brittle

    C3 4 4 0 no cracks,

    no damage

    E

    E1 4

    4 0 no cracks,

    no damage

    E2 4 4 0

    no cracks,

    no damage

    E3 4 4 0 no cracks,

    no damage

    *Firing Procedure: 1 - bisquit firingproduct 2 - glazingglost firingproduct

    3 - bisquit firingglazingglost firingproduct

    As shown in Table 4.2, all the groups except for B2 yields 100% though referring to

    the description of each groups, it is noticeable that almost all have little damage. Group

    B2 broke into fragments and exhibits extensive damage. This means that it is not feasible

    to make tiles with 50% concentration of calcium carbonate and with a glazingglost

    firing product procedure. On the other hand, the presence of feldspar provides strength

  • 43

    and hardness to the groups of tiles on the fired state because when the feldspar melts, it

    forms a molten glass that causes the particles to cling together. But due to a lesser

    concentration of it, qualitatively speaking, the produced tiles do not exhibit much

    hardness and strength. The absence of silica sand, however, is substituted by calcium

    carbonate which according to studies has the same function as the silica sand. Both silica

    sand and calcium carbonate acts as sort of skeleton, reduce firing shrinkage, drying

    shrinkage and cracking. But due to its higher concentration in mixtures, A, B and C the

    result is the other way around. This means that, higher concentration of calcium

    carbonate is not good. Proportions of raw materials should be distributed well.

    Test for Physical Properties

    The physical properties such as impact strength and porosity of the produced tiles

    from oyster shells were tested and compared with commercial ceramic tiles. The

    following sections describe the results of said tests.

    A. Impact Strength Test

    Impact strength is an important property of a ceramic tile on the fired state. It refers to

    the ability of ceramic material to bear crushing loads. Impact strength test is done to

    measure the capacity of the ceramic tiles produced to bear crushing loads of different

    masses. This test is done by dropping three loads of different masses (100g, 200g and

    500g) consecutively on the tile 0.68m high.

  • 44

    Table 4.3 shows the result of the impact strength test done on the two

    commercial/control tiles F and G which will be used to compare with the experimental

    tiles.

    Table 4.3 Result of Impact Strength Test for Control Tiles F and G

    Table 4.3 shows the impact strength test conducted on the control tiles F and G.

    The rating 50.0 indicates that the tile has the greatest impact strength while the rating

    10.0 indicates that the tile has the lowest impact strength.

    Referring to Table 4.3, it shows that the total mean indicates that control tiles F

    and G have the same impact strength. The impact strength result for each control tile will

    be used in comparing with the best tile for each mixture using one-way ANOVA but

    since control tile F and G have the same impact strength rating, either of the two can be

    used.

    Table 4.4 shows the result of the impact strength test done on mixture A.

    Table 4.4 Result of Impact Strength Test for Mixture A

    Tile Trial 1 Trial 2

    Mean

    Total Rank Loads Loads

    1(100g) 2(200g) 3(500g) Mean 1(100g) 2(200g) 3(500g) Mean

    F 50.0 50.0 30.0 43.3 50.0 50.0 30.0 43.3 43.3 1.5

    G 50.0 50.0 30.0 43.3 50.0 50.0 30.0 43.3 43.3 1.5

    Tile Trial 1 Trial 2

    Mean

    Total Rank Loads Loads

    1(100g) 2(200g) 3(500g) Mean 1(100g) 2(200g) 3(500g) Mean

    A1 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 3

    A2 40.0 30.0 20.0 30.0 30.0 30.0 20.0 26.7 28.4 1

    A3 40.0 20.0 20.0 26.7 40.0 20.0 20.0 26.7 26.7 2

  • 45

    Table 4.4 shows the impact strength test conducted on experimental tile A. The

    rating 50.0 indicates that the tile has the greatest impact strength while the rating 10.0

    indicates that the tile has the lowest impact strength.

    Referring to Table 4.4, it shows that the total mean indicates that tile A2 have the

    greatest impact strength while tile A1 have the lowest impact strength. For this reason, tile

    A2 is selected to be compared with control tiles F and G.

    Table 4.5 shows the summary of the one-way ANOVA applied in comparing tile

    A2 versus control tiles F or G.

    Table 4.5 Summary of one-way ANOVA applied to tile A2 versus tile F or G

    Source of

    variation

    Sum of

    Squares

    df Mean

    Squares

    F ratio Interpretation

    Between

    Groups 223.5 1 223.5

    111.8 Significant Within

    Group 3.800 2 1.9

    Total 227.3 3

    As shown in Table 4.5, the F-ratio is more than the critical value, 13.51, then the

    null hypothesis, which is, the 2 groups of tiles do not differ in terms of impact strength,

    will be rejected. Meaning, tile A2 differ significantly with that of the control tile F or G in

    terms of impact strength. Since the mean value of the result of impact strength test done

    on experimental tile A2 is less than the mean value of the result of impact test done on

    control tile F or G, tile A2 is more fragile compared with the control tiles. This indicates

    that it not feasible to make tiles with 40% concentration of calcium carbonate and with a

    bisquit firingproduct procedure if the impact strength is the only physical property to

    be considered.

  • 46

    Table 4.6 shows the result of the impact strength test done on mixture B.

    Table 4.6 Result of Impact Strength Test for Mixture B

    Table 4.6 shows the impact strength test conducted on experimental tile B. The

    rating 50.0 indicates that the tile has the greatest impact strength while the rating 10.0

    indicates that the tile has the lowest impact strength.

    Referring to Table 4.6, it shows that the total mean indicates that tile B3 have the

    greatest impact strength while tile B1 have the lowest impact strength. For this reason, tile

    B3 is selected to be compared with control tiles F and G.

    Table 4.7 shows the summary of theone-way ANOVA applied in comparing tile

    B3 versus control tiles F or G.

    Table 4.7 Summary of one-way ANOVA applied to tile B3 versus tile F or G

    Source of

    variation

    Sum of

    Squares

    df Mean

    Squares

    F ratio Interpretation

    Between

    Groups 43.56 1 43.56

    -54.45 Not

    Significant Within

    Group -1.600 2 -0.8

    Total 42.00 3

    As shown in Table 4.7, the F-ratio is less than the critical value, 13.51, then the

    null hypothesis, which is, the 2 groups of tiles do not differ in terms of impact strength,

    will be accepted. Meaning, tile B3 do not differ with that of the control tile F or G in

    terms of impact strength. This indicates that it is feasible to make tiles with 50%

    concentration of calcium carbonate and with a bisquit firingglazingglost

    Tile Trial 1 Trial 2

    Mean

    Total Rank Loads Loads

    1(100g) 2(200g) 3(500g) Mean 1(100g) 2(200g) 3(500g) Mean

    B1 40.0 30.0 20.0 30.0 40.0 20.0 20.0 26.7 28.4 2

    B3 50.0 40.0 20.0 36.7 50.0 40.0 20.0 36.7 36.7 1

  • 47

    firingproduct procedure if the impact strength is the only physical property to be

    considered.

    Table 4.8 shows the result of the impact strength test conducted on experimental

    tile C.

    Table 4.8 Result of Impact Strength Test for Mixture C

    Table 4.8 shows the impact strength test conducted on experimental tile C. The

    rating 50.0 indicates that the tile has the greatest impact strength while the rating 10.0

    indicates that the tile has the lowest impact strength.

    Referring to Table 4.8, it shows that the total mean indicates that tile C3 have the

    greatest impact strength while tile C1 have the lowest impact strength. For this reason, tile

    C3 is selected to be compared with control tiles F and G.

    Table 4.9 shows the summary of the one-way ANOVA applied in comparing tile

    C3 versus control tiles F or G.

    Table 4.9 Summary of one-way ANOVA applied to tile C3 versus tile F or G

    Source of

    variation

    Sum of

    Squares

    df Mean

    Squares

    F ratio Interpretation

    Between

    Groups 24.50 1 24.50

    12.89 Not

    Significant Within

    Group 3.800 2 1.900

    Total 28.30 3

    As shown in Table 4.9 the F-ratio is less than the critical value, 13.51, then the

    null hypothesis, which is, the 2 groups of tiles do not differ in terms of impact strength,

    Tile Trial 1 Trial 2 Mean

    Total Rank Loads Loads

    1(100g) 2(200g) 3(500g) Mean 1(100g) 2(200g) 3(500g) Mean

    C1 40.0 20.0 20.0 26.7 40.0 20.0 20.0 26.7 26.7 3

    C2 40.0 40.0 20.0 33.3 40.0 40.0 20.0 33.3 33.3 2

    C3 50.0 50.0 20.0 40.0 50.0 40.0 20.0 36.7 38.4 1

  • 48

    will be accepted. Meaning, tile C3 is comparable to control tile F or G in terms of impact

    strength. This indicates that it is feasible to make tiles with 60% concentration of calcium

    carbonate and with a bisquit firingglazingglost firingproduct procedure if the

    impact strength is the only physical property to be considered.

    Table 4.10 shows the result of the impact strength test conducted on experimental

    tile E.

    Table 4.10 Result of Impact Strength Test for Mixture E

    Table 4.10 shows the impact strength test conducted on experimental tile E. The

    rating 50.0 indicates that the tile has the greatest impact strength while the rating 10.0

    indicates that the tile has the lowest impact strength.

    Referring to Table 4.10, it shows that the total mean indicates that tile E1 have the

    greatest impact strength while tile E2 have the lowest impact strength. For this reason, tile

    E1 is selected to be compared with control tiles F and G.

    Table 4.11 shows the summary of the one-way ANOVA applied in comparing tile

    E1 versus control tiles F or G.

    Table 4.11 Summary of one-way ANOVA applied to tile E1 versus tile F or G

    Source of

    variation

    Sum of

    Squares

    df Mean

    Squares

    F ratio Interpretation

    Between

    Groups 223.5 1 223.5

    111.8 Significant Within

    Group 3.800 2 1.900

    Total 227.0 3

    Tile Trial 1 Trial 2

    Mean

    Total Rank Loads Loads

    1(100g) 2(200g) 3(500g) Mean 1(100g) 2(200g) 3(500g) Mean

    E1 40.0 30.0 20.0 30.0 40.0 20.0 20.0 26.7 28.4 1

    E2 20.0 20.0 20.0 20.0 20.0 20.0 10.0 16.6 18.3 3

    E3 40.0 20.0 10.0 23.3 40.0 20.0 10.0 23.3 23.3 2

  • 49

    As shown in Table 4.11, the F-ratio is more than the critical value, 13.51, then the

    null hypothesis, which is, the 2 groups of tiles do not differ in terms of impact strength,

    will be rejected. Meaning, tile E1 differ significantly with that of the control tile F or G in

    terms of impact strength. Since the mean value of the result of impact test done on

    experimental tile E1 is less than the mean value of the result of impact strength test done

    on control tile F or G, tile E1 is more fragile compared with the control tiles. This

    indicates that it not feasible to make tiles with 0% concentration of calcium carbonate or

    silica sand and with a bisquit firingproduct procedure if the impact strength is the only

    physical property to be considered.

    In general, groups B3 and C3 are the tiles comparable with control tiles F or G in

    terms of impact strength.

    B. Porosity Test

    Porosity is an important physical property of a ceramic tile on the fired state. It

    refers to the penetration of liquids and vapors through the material that usually causes

    structural damage. The porosity test is conducted to determine how much liquid the

    produced ceramic tile will absorb in standard period of time. It is done by measuring the

    unsaturated mass of the tile, the liquid-dipped mass of the tile and the saturated mass of

    the tile. The resulting masses were then substituted to the equation for percent apparent

    porosity.

    Table 4.12 shows the result of the porosity test done on the control tiles F and G.

  • 50

    Table 4.12 Result of porosity test (in percent apparent porosity, %Pa) for control tiles F

    and G

    Tile Trial 1 Trial 2 Mean

    Rank %Pa (%) %Pa (%) (%)

    F 48.57 40.00 44.29 1

    G 45.46 46.73 46.15 2

    Table 4.12 shows the porosity test done on control tiles F and G. It illustrates that

    the lesser the percent apparent porosity, the lesser is its susceptibility to be penetrated by

    liquids, the better.

    As shown in Table 4.12 control tile F has the least percent apparent porosity,

    meaning it is less susceptible to be penetrated by liquids while control tile G has larger

    percent apparent porosity, meaning it is more susceptible to be penetrated by liquids and

    vapors. For this reason, control tile F is selected to be compared with the experimental

    tiles.

    Table 4.13 shows the results of the porosity test for mixture A.

    Table 4.13 Result of porosity test (in percent apparent porosity, %Pa) for mixture A

    Tile Trial 1 Trial 2 Mean

    Rank %Pa (%) %Pa (%) (%)

    A1 46.00 45.82 45.91 2

    A2 39.90 40.46 40.18 1

    A3 47.47 47.74 47.61 3

    Table 4.13 shows the porosity test for mixture A. It illustrates that the lesser the

    percent apparent porosity, the lesser is its susceptibility to be penetrated by liquids, the

    better.

  • 51

    Referring to Table 4.13, it shows that tile A2 has the least percent apparent

    porosity, meaning it is less susceptible to be penetrated by liquids while tile A3 have the

    largest percent apparent porosity, meaning it is more susceptible to be penetrated by

    liquids and vapors. For this reason, tile A2 is selected to be compared with control tile F.

    Table 4.14 shows the one-way ANOVA applied in comparing tile A2 versus

    control tile F.

    Table 4.14 Summary of one-way ANOVA applied to tile A2 versus tile F

    Source of

    variation

    Sum of

    Squares

    df Mean

    Squares

    F ratio Interpretation

    Between

    Groups 19.38 1 19.38

    1.053 Not

    Significant Within

    Group 36.82 2 18.41

    Total 56.20 3

    As shown in Table 4.14, the F-ratio is less than the critical value, 13.51, then the

    null hypothesis, which is, the 2 groups of tiles do not differ in terms of porosity, will be

    accepted. Meaning, tile A2 is comparable with control tile F in terms of porosity. This

    indicates that it is feasible to make tiles with 40% concentration of calcium carbonate and

    with a bisquit firingproduct procedure if porosity is the only physical property to be

    considered.

    Table 4.15 shows the results of the porosity test for mixture B.

    Table 4.15 Result of porosity test (in percent apparent porosity, %Pa) for mixture B

    Tile Trial 1 Trial 2 Mean

    Rank %Pa (%) %Pa (%) (%)

    B1 47.54 48.96 48.25 1

    B3 49.61 47.29 48.41 2

  • 52

    Table 4.13 shows the porosity test for mixture B. It illustrates that the lesser the

    percent apparent porosity, the lesser is its susceptibility to be penetrated by liquids, the

    better.

    Referring to Table 4.13, tile B1 has the least percent apparent porosity, meaning it

    is less susceptible to be penetrated by liquids while tile B3 have larger percent apparent

    porosity, meaning it is more susceptible to be penetrated by liquids and vapors. For this

    reason, tile B1 is selected to be compared with control tile F.

    Table 4.16 shows the summary of the one-way ANOVA applied in comparing tile

    B1 versus control tile F.

    Table 4.16 Summary of one-way ANOVA applied to tile B1 versus tile F

    Source of

    variation

    Sum of

    Squares

    df Mean

    Squares

    F ratio Interpretation

    Between

    Groups 12.94 1 12.94

    0.6890 Not

    Significant Within

    Group 37.56 2 18.78

    Total 50.50 3

    As shown in Table 4.16, the F-ratio is less than the critical value, 13.51, then the

    null hypothesis, which is, the 2 groups of tiles do not differ in terms of porosity, will be

    accepted. Meaning, tile A2 is comparable with control tile F in terms of porosity. This

    indicates that it is feasible to make tiles with 50% concentration of calcium carbonate and

    with a glazingglost firingproduct procedure if porosity is the only physical property

    to be considered.

    Table 4.17 shows the results of the porosity test for mixture C.

  • 53

    Table 4.17 Result of porosity test (in percent apparent porosity, %Pa) for mixture C

    Tile Trial 1 Trial 2 Mean

    Rank %Pa (%) %Pa (%) (%)

    C1 63.56 64.60 64.08 3

    C2 64.06 64.02 64.04 2

    C3 59.92 59.47 59.70 1

    Table 4.17 shows the porosity test for mixture C. It illustrates that the lesser the

    percent apparent porosity, the lesser is its susceptibility to be penetrated by liquids, the

    better.

    Referring to Table 4.17, tile C3 has the least percent apparent porosity, meaning it

    is less susceptible to be penetrated by liquids while tile C1 have larger percent apparent

    porosity, meaning it is more susceptible to be penetrated by liquids and vapors. For this

    reason, tile C3 is selected to be compared with control tile F.

    Table 4.18 shows the summary of the one-way ANOVA applied in comparing tile

    C3 versus control tile F.

    Table 4.18 Summary of one-way ANOVA applied to tile C3 versus tile F

    Source of

    variation

    Sum of

    Squares

    df Mean

    Squares

    F ratio Interpretation

    Between

    Groups 234.5 1 234.5

    13.21 Not

    Significant Within

    Group 35.50 2 17.75

    Total 270.0 3

    As shown in Table 4.18, the F-ratio is less than the critical value, 13.51, then the

    null hypothesis, which is, the 2 groups of tiles do not differ in terms of porosity, will be

    accepted. Meaning, tile C3 is comparable with control tile F in terms of porosity. This

    indicates that it is somewhat feasible to make tiles with 60% concentration of calcium

  • 54

    carbonate and with a bisquit firingglazingglost firingproduct procedure if porosity

    is the only physical property to be considered.

    Table 4.19 shows the results of the porosity test for mixture E.

    Table 4.19 Result of porosity test (in percent apparent porosity, %Pa) for mixture E

    Tile Trial 1 Trial 2 Mean

    Rank %Pa (%) %Pa (%) (%)

    E1 29.32 23.26 26.29 1

    E2 32.42 30.02 31.22 3

    E3 24.44 23.33 23.89 2

    Table 4.19 shows the porosity test for mixture E. It illustrates that the lesser the

    percent apparent porosity, the lesser is its susceptibility to be penetrated by liquids, the

    better.

    Referring to Table 4.19, tile E1 has the least percent apparent porosity, meaning it

    is less susceptible to be penetrated by liquids while tile E2 have the largest percent

    apparent porosity, meaning it is more susceptible to be penetrated by liquids and vapors.

    For this reason, tile E1 is selected to be compared with control tile F.

    Table 4.20 shows the summary of the one-way ANOVA applied in comparing tile

    E1 versus control tile F.

    Table 4.20 Summary of one-way ANOVA applied to tile E1 versus tile F

    Source of

    variation

    Sum of

    Squares

    df Mean

    Squares

    F ratio Interpretation

    Between

    Groups 320.3 1 320.3

    546.1 Significant Within

    Group 1.173 2 0.5865

    Total 375.6 3

  • 55

    As shown in Table 4.20, the F-ratio is more than the critical value, 13.51, then the

    null hypothesis, which is, the 2 groups of tiles do not differ in terms of porosity, will be

    rejected. Meaning, tile E1 differs significantly with control tile F in terms of porosity. But

    for this sample, E1 has lesser percent apparent porosity than control tile F. Meaning, tile

    E1 is less susceptible to the penetration of liquids than control tile F. This indicates that it

    is feasible to make tiles with 0% concentration of calcium carbonate or silica sand and

    with a bisquit firingproduct procedure if porosity is the only physical property to be

    considered. The hardened clays after firing that make this group resistant to action of

    liquids and vapors. But because it does not contain calcium carbonate or silica sand, the

    tile is fragile.

    In general, tiles A2 B1 and C3 are the tiles comparable with control tile F in terms

    of porosity.

    Table 4.21 shows the summary of results for the best tiles produced according to

    the one-way ANOVA used.

    Table 4.21 Summary of results for the best tiles produced

    Tile* % Oyster Shells Impact Strength Porosity Decision

    A2 40 Not Feasible Feasible Not Feasible

    B1 50 Not Feasible Feasible Not Feasible

    B3 50 Feasible Not Feasible Not Feasible

    C3 60 Feasible Feasible Feasible *Firing Procedure: 1 - bisquit firingproduct 2 - glazingglost firingproduct

    3 - bisquit firingglazingglost firingproduct

    As shown in Table 4.21, it suggests that tile C3 is the most feasible experimental

    tile because it is feasible in both impact strength and porosity test done. This means that it

  • 56

    is feasible to make tile with 60% concentration of calcium carbonate and with a bisquit

    firingglazingglost firingproduct procedure.

    However, as shown in Table 4.21, tiles A2, B1 and B3 are feasible in one physical

    property only that is why the decision for its acceptance is not feasible. It is very

    important that the produced tile pass all the tests for physical properties to achieve

    quality.

    It was also observed in the study that the lesser the calcium carbonate added to the

    tile, the smaller the porosity. The lesser the percent apparent porosity means that the

    susceptibility of the tile to absorb liquid or vapor is less. It is because calcium oxide

    (from fired calcium carbonate) easily absorbs liquids like water to form hydroxides.

    On the other hand, the greater the amount of calcium carbonate added to the tile,

    the greater is the impact strength. The greater the impact strength means that the ability of

    the tile to bear crushing load is better. It is because calcium carbonate reduces the drying

    shrinkage, prevents cracking of the piece and act as a sort of skeleton to hold the shape of

    the piece.

    Table 4.22 shows the rough estimate of the costs of chemicals and equipment

    utilized in the study.

  • 57

    Table 4.22 Cost of materials utilized in the study

    Material Quantity Unit Price Price

    Ball clay 1.00 kg P 15.00/kg P 15.00

    Feldspar 4.20 kg 12.00/kg 50.40

    Kaolin 2.00 kg 28.85/kg 47.70

    Plaster of paris 18.0 kg 18.75/kg 337.50

    Calcium carbonate 0.48 kg 21.50/kg 10.32

    Sodium silicate 0.15 L 45.00/L 6.75

    CMC 0.25 kg 174.00/kg 43.50

    Firing Machine 1 pc 500.00/day 500.00

    Total P 1,011.17

    Referring at Table 4.22, it shows that the total cost of the study amounted to

    roughly one thousand eleven and 17/100 pesos (P1,011.17). This amount was utilized in

    the production of 60 pieces of tiles. Dividing the amount used in the study with the

    number of tiles will give out 16.85. Meaning, if the tiles were to be sold, its unit price

    would be P16.85/piece which is higher than the price of the commercial tiles which is

    P12.50/piece. The difference would be P4.35.

    The unit price may seem expensive but it should also be considered that the

    plaster of paris mold can be used over and over again and the firing machine could fire

    more than 60 tiles a day.

  • 58

    Chapter 5

    CONCLUSION AND RECOMMENDATIONS

    The main objective of the study is to investigate the feasibility of the Crassostrea

    iredalei (oyster) shell as base for ceramic tile making. Specifically, it aimed to: (a) utilize

    Crassostrea iredalei (oyster) shells as substitute to silicon dioxide (silica sand) in ceramic

    tile making; (b) test the physical properties like impact strength and porosity of the

    produced ceramic tiles; and (c) compare the ceramic tile made of Crassostrea iredalei

    (oyster) shells to commercially available ones such as the Mariwasa Ceramic Tiles and

    Floor Center Ceramic Tiles in terms of impact strength and porosity via One-Way

    ANOVA.

    Based on the statistical analysis, it was found out that utilizing Crassostrea

    iredalei (oyster) shells as substitute to silicon dioxide (silica sand) in ceramic tile making

    at a 60% substitution and with a bisquit firingglazingglost firingproduct firing

    procedure is feasible. The produced tile is comparable with the commercial tiles like

    Mariwasa Ceramic Tiles and Floor Center Ceramic Tiles in terms of impact strength

    and porosity. The other percent substitution of calcium carbonate including the firing

    procedure done is not as effective ad the 60% substitution.

    To further enhance or modify this research study, the researchers throw the

    following recommendations:

  • 59

    1) Utilize other test for the physical properties of the best tile produced.

    2) The use of other tile body forming method like the dust press method or

    the spray drying method;

    3) Reformulation of the proportions of the calcium carbonate, ball clay,

    feldspar and kaolin used.

  • 60

    BIBLIOGRAPHY

    1 JEFE (2000). Downloaded on August 10, 2006 from

    http://www.jefo.ca/fiches_anglais/oyster_shells.html

    2 Britannica, 1978

    3 Encyclopedia Britannica, Vol. 4, 1988

    4 Jamaica Export Trading Company. Downloaded on October 24, 2006 from

    http://www.exportjamaica.org/jetco/click.htm

    5 University of Florida News (2004). Downloaded on August 10, 2006 from

    http://www.napa.ufl.edu/2004news/oystertip.htm

    6 Rx List (2005). Downloaded on August 10, 2006 from http://www.rxlist.com/drugs/drug-

    20939Calcium+Oyster+Shell+Oral.aspx?drugid=20939&drugname=Calcium+Oyster+Shell+Oral

    7 Planet Natural (2004). Downloaded on August 10, 2006 from

    http://www.planetnatural.com/site/oyster-shell-lime.html

    8 The World Book Encyclopedia, Vol. 16, 1958

    9 Training Manual on Ceramic Artware Production published by the Rural Technology &

    Information Division, Industrial Technology Development Institute, Department of

    Science and Technology.

    10 The Tile Doctor (2003). Downloaded on August 10, 2006 from

    http://www.thetiledoctor.com/tile_manufac.cfm

    11 Alibaba.com (1999). Downloaded on October 5, 2006 from

    http://www.alibaba.com/catalog/11336587/Water_Washed_Lavigated_China_Clay_Kaol

    in.html

    12 (October 2001). China Raw Ball Clay QY-03 Chemical Analysis. Quezon City: Central

    Ceramic Center.

    13Wikipedia (2006). Downloaded on October 24, 2006 from

    http://en.wikipedia.org/wiki/Silica

    14 Production of Ceramic Artwares published by the Rural Technology & Information

    Division, Industrial Technology Development Institute, Department of Science and

    Technology.

    15 Ceramic-tile.com (2003). Downloaded on August 10, 2006 from http://www.ceramic-

    tile.com/class.cfm

  • 61

    16 Isidro, Reinier Augustus and Sheryll R. Jamito. 2006. Janitor Fishs Skin Reinforced

    Concrete Blocks. Manila: Philippine Normal University Research Paper.

    17 Camara, Paolo, Janssen Canicula, Rex Capuno, Don dela Cruz and Christopher

    Sanguyo. 2001. Feasibility of Foam Polystyrene and Powdered Talaba Shells as Tiles.

    Quezon City, Philippines: Philippine Science High School Research Paper.

  • 62

    APPENDIX A

    Raw Data and Computations for Impact Strength Test

    Impact Strength Test

    Results of One-Way ANOVA

    Group A

    X = 143.3

    Do the 2 groups of tiles differ in terms of impact strength?

    Step 1: Ho = M1 = M2= the 2 groups of tiles do not differ in terms of impact strength

    H1 = M1 M2 = the 2 groups of tiles do differ in terms of impact strength

    Step 2: .05 level

    Step 3: dfb = k-1 2-1 = 1

    dfw = N-k = 4-2 = 2

    Tile

    Trial 1 Trial 2 Mean

    Total Loads Loads

    1(100g) 2(200g) 3(500g) Mean 1(100g) 2(200g) 3(500g) Mean

    A1 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0

    A2 40.0 30.0 20.0 30.0 30.0 30.0 20.0 26.7 28.4

    A3 40.0 20.0 20.0 26.7 40.0 20.0 20.0 26.7 26.7

    B1 40.0 30.0 20.0 30.0 40.0 20.0 20.0 26.7 56.7

    B3 50.0 40.0 20.0 36.7 50.0 40.0 20.0 36.7 36.7

    C1 40.0 20.0 20.0 26.7 40.0 20.0 20.0 26.7 26.7

    C2 40.0 40.0 20.0 33.3 40.0 40.0 20.0 33.3 33.3

    C3 50.0 50.0 20.0 40.0 50.0 40.0 20.0 36.7 38.4

    E1 40.0 30.0 20.0 30.0 40.0 20.0 20.0 26.7 28.4

    E2 20.0 20.0 20.0 20.0 20.0 20.0 10.0 16.6 18.3

    E3 40.0 20.0 10.0 23.3 40.0 20.0 10.0 23.3 23.3

    F 50.0 50.0 30.0 43.3 50.0 50.0 30.0 43.3 43.3

    G 50.0 50.0 30.0 43.3 50.0 50.0 30.0 43.3 43.3

    Trial A2 F/G

    1 30.0 43.3

    2 26.7 43.3

    56.7 86.6

  • 63

    Step 4: DR: if F 13.51 reject Ho DR: if F < 13.51 accept Ho

    X2 = 5361

    Step 5: (5.1) total sum of squares

    SSt = X2

    _ ( X)2

    N

    = 5361 (143.3) 2

    4

    = 227.3

    (5.2) sum of squares for between groups

    SSb = ( X)2 + ( X)

    2 - ( X)

    2

    n1 n2 N

    = (30.0)2

    + (26.7) 2

    + (43.3)2

    + (43.3)2

    - (143.3)

    2

    2 2 2 2 4

    = 223.5

    (5.3) sum of squares for w/in groups

    SSw = SSt SSb = 227.3 223.5 = 3.8

    (5.4) mean squares

    * for between groups * for w/in groups

    MSb = SSb MSw = SSw K-1 (2-1) N-k (4-2)

    = 223.5 = 3.8

    1 2

    = 223.5 = 1.9

    (5.5) F ratio

    F = MSb

    MSw

    = 223.5

    1.9

    = 111.8

    Trial A2 F/G

    1 900 1874

    2 713 1874

    1613 3748

  • 64

    Step 6: Decision: Reject Ho

    Step 7: The 2 groups of tiles differ in terms of impact strength

    Summary Table

    Group B

    Trial B3 F/G

    1 36.7 43.3

    2 36.7 43.3

    73.4 86.6

    X=160.0

    Do the 2 groups of tiles differ in terms of impact strength?

    Step 1: Ho = M1 = M2= the 2 groups of tiles do not differ in terms of impact strength

    H1 = M1 M2 = the 2 groups of tiles do differ in terms of impact strength

    Step 2: .05 level

    Step 3: dfb = k-1 2-1 = 1

    dfw = N-k = 4-2 = 2

    Step 4: DR: if F 13.51 reject Ho DR: if F < 13.51 accept Ho

    Trial B3 F/G

    1 1347 1874

    2 1347 1874

    2694 3748

    x2 = 6442

    Source of

    variation

    Sum of

    Squares

    df Mean

    Squares

    F ratio Interpretation

    Between

    Groups 223.5 1 223.5

    111.8 Significant Within

    Group 3.800 2 1.9

    Total 227.3 3

  • 65

    Step 5: (5.1) total sum of squares

    SSt = X2

    _ ( X)2

    N

    = 6442 (160) 2

    2

    = 42

    (5.2) sum of squares for between groups

    SSb = ( X)2 + ( X)

    2 - ( X)

    2

    n1 n2 N

    = (36.7)2

    + (36.76) 2

    + (43.3)2

    + (43.3)2

    - (160)

    2

    2 2 2 2 4

    = 223.5

    (5.3) sum of squares for w/in groups

    SSw = SSt SSb = 42 43.56 = - 1.6

    (5.4) mean squares

    * for between groups * for w/in groups

    MSb = SSb MSw = SSw K-1 (2-1) N-k (6-2)

    = 10.9 = 28.7

    2 6

    = 43.56 = - 0.8

    (5.5) F ratio

    F = MSb

    MSw

    = 43.56

    -0.8

    = - 54.45

    Step 6: Decision: Accept Ho

    Step 7: The 2 groups of tiles do not differ in terms of impact strength

  • 66

    Summary Table

    Source of

    variation

    Sum of

    Squares

    df Mean

    Squares

    F ratio Interpretation

    Between

    Groups 43.56 1 43.56

    -54.45 Not

    Significant Within

    Group -1.600 2 -0.8

    Total 42.00 3

    Group C

    Trial C3 F/G

    1 40.0 43.3

    2 36.7 43.3

    76.7 86.6

    X=163.3

    Do the 2 groups of tiles differ in terms of impact strength?

    Step 1: Ho = M1 = M2= M3 = the 2 groups of tiles do not differ in terms of impact

    strength

    H1 = M1 M2 M3 = the 2 groups of tiles do differ in terms of impact strength

    Step 2: .05 level

    Step 3: dfb = k-1 2-1 = 1

    dfw = N-k = 4-2 = 2

    Step 4: DR: if F 13.51 reject Ho DR: if F < 13.51 accept Ho

    Trial C3 F/G

    1 1600 1874

    2 1347 1874

    2947 3748

    x2 = 6695

    Step 5: (5.1) total sum of squares

    SSt = X2

    _ ( X)2

    N

    = 6695 (163.3) 2

    4

    = 28.3

  • 67

    (5.2) sum of squares for between groups

    SSb = ( X)2 + ( X)

    2 - ( X)

    2

    n1 n2 N

    = (40.0)2

    + (36.7) 2

    + (43.3)2

    + (43.3)2

    - (163.3)

    2

    2 2 2 2 4

    = 223.5

    (5.3) sum of squares for w/in groups

    SSw = SSt SSb =28.3 24.5 = 3.8

    (5.4) mean squares

    * for between groups * for w/in groups

    MSb = SSb MSw = SSw K-1 (2-1) N-k (4-2)

    = 24.5 = 3.8

    1 2

    = 24.5 = 1.9

    (5.5) F ratio

    F = MSb

    MSw

    = 24.5

    1.9

    = 12.89

    Step 6: Decision: Accept Ho

    Step 7: The 2 groups of tiles do not differ in terms of impact strength

    Summary Table

    Source of

    variation

    Sum of

    Squares

    df Mean

    Squares

    F ratio Interpretation

    Between

    Groups 24.50 1 24.50

    12.89 Not

    Significant Within

    Group 3.800 2 1.900

    Total 28.30 3

  • 68

    Group E

    Trial E1 F/G

    1 40.0 43.3

    2 36.7 43.3

    76.7 86.6

    X=143.3

    Do the 2 groups of tiles differ in terms of impact strength?

    Step 1: Ho = M1 = M2= the 2 groups of tiles do not differ in terms of impact strength

    H1 = M1 M2 = the 2 groups of tiles do differ in terms of impact strength

    Step 2: .05 level

    Step 3: dfb = k-1 2-1 = 1

    dfw = N-k = 4-2 = 2

    Step 4: DR: if F 13.51 reject Ho DR: if F < 13.51 accept Ho

    Trial E1 F/G

    1 900 1874

    2 713 1874

    1613 3748

    x2 = 5361

    Step 5: (5.1) total sum of squares

    SSt = X2

    _ ( X)2

    N

    = 5361 (143.3) 2

    4

    = 227.3

    (5.2) sum of squares for between groups

    SSb = ( X)2 + ( X)

    2 - ( X)

    2

    n1 n2 N

    = (30.0)2

    + (26.7) 2

    + (43.3)2

    + (43.3)2

    - (143.3)

    2

    2 2 2 2 4

    = 223.5

    (5.3) sum of squares for w/in groups

    SSw = SSt SSb =28.3 24.5 = 3.8

  • 69

    (5.