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    REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT2/

    UNIT 2

    CHARACTERISTICS OF MATERIALS

    GENERAL OBJECTIVE

    To be able to gain knowledge regarding the properties of concrete and concrete mix

    design.

    At the end of this lesson, you should be able to:-

    1. list the properties of concrete.

    2. list the constituent materials of concrete.

    3. list the characteristics of hardened concrete.

    4. describe the method of concrete mix design methods.

    5. design concrete mix using DOE and ACI design methods.

    1

    OBJECTIVES

    SPECIFIC OBJECTIVES

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    REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT2/

    2.1 Introduction

    Its a good idea if you could refer to section 6 of BS 8110: Part 1 before going

    through this unit. Section 6 of the code gives some guidelines on concrete materials,

    the specifications and construction.

    2.2 Concrete

    The selection of concrete grade and type that are to be used in design depends on the

    strength required. For example, a concrete of higher strength is needed for ground

    level column rather than increasing the column size, which will in turn decrease the

    floor area.

    The grade of concrete appropriate for use should be selected from the preferred grade

    in BS 5328 taking account of the following factors:

    a) adequate strength for the limit state requirements.

    b) durability

    c) any other overriding characteristics

    According to clause 3.1.7.2, BS 8110, the lowest grade that could be used is C25 for

    concrete made with normal weight aggregates.

    As for durability of concrete is concerned, structures exposed to corrosive

    environment should use a denser and higher grade of concrete. For interior member,

    such as, in school buildings and office blocks, a lower concrete grade is preferable.

    2

    INPUT 1

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    Generally, ordinary Portland cement is used for most building structures but other

    types of cement could be used such as rapid hardening, low heat, and sulphate

    resisting Portland cement. Refer to clause 6.1.2.1, BS 8110.

    2.3 Concrete mix

    Concrete mix is categorized as design or specified mix. The differences between

    design and specified mix are as follows:

    In design mix, the contractor should select the mix proportion in order to get the

    required strength and workability of concrete. In specified mix, however the engineer

    should decide the mix proportion strength and workability of concrete.

    2.4 Reinforcement

    Please refer to clause 3.1.7.4 and Table 3.1, BS 8110 regarding the strength of steel

    reinforcement to be used. Reinforcements are in the form or round, mild steel bars,

    high-yield bars and fabric reinforcement bars (BRC). Mast reinforcement is produced

    by hot rolling process. Considerable advantage is gained from using these types of

    reinforcement that has a high ductility. Ductility is the ability of a bar to be bent in a

    small radius without loss of strength. This is of particular importance to tie the main

    reinforcement by using links.

    Fabric reinforcement gives considerable advantage when used in floor slabs, walls

    and pavement. Construction and labour costs could be cut down drastically when the

    right type of reinforcement is used.

    3

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    Other properties of reinforcement that are of interest to the reinforced concrete

    designer are welding ability (potential loss of strength when welded), fatigue

    performance and behaviour under force conditions.

    In reinforced concrete construction special ensuring that the reinforcement used

    covers considerations complies with the requirements of the appropriate British

    Standards recommended in BS 8110 and BS 4466.

    2.5 Size of reinforcement

    It is invariably more economical to use a few but different sizes of reinforcement as

    possible, even though this may involve using a larger amount of reinforcement that

    the design actually requires.

    The standard sizes of reinforcing bars and the lengths in which they are readily

    available are given in the manufacturers catalogue.

    4

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    TEST YOUR UNDERSTANDING BEFORE YOU CONTINUE TO THE NEXT

    INPUT!

    2.1 State the constituent materials of concrete.

    .

    2.2 List five properties of hardened concrete.

    a)

    b).

    c)

    d)

    e)

    2.3 State 2 methods on how concrete mix is prepared

    a)..

    b)..

    5

    ACTIVITY 2a

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    2.4 What is the lowest concrete grade that should be used with manual weight

    aggregate?

    2.5 State 3 other types of cement other than Ordinary Portland Cement.

    a)

    b).

    c)

    2.6 State 3 types of reinforcement specified by BS 8110.

    a)..

    b)

    c).

    6

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    The answers are as follows. Check whether your answers are correct before you

    proceed to the next unit.

    2.1 Cement, aggregate, sand and water

    2.2 i) very strong in compression

    ii) very weak in tension

    iii) very durable; i.e long lasting relatively cheaper than other

    material fire resistance.

    2.3 i) design mix

    ii) specified mix

    2.4 grade 25 , strength 25 N/mm2

    2.5 i) rapid hardening Portland Cement

    ii) sulphate-resistance Portland cement

    iii) low heat Portland cement.

    2.6 i) mild steel ( R )

    ii) high-yield steel (T)

    iii) fabric reinforcement (BRC)

    7

    FEEDBACK 2a

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    2.7 Principles of concrete mix design

    The aim in mix design is to select the optimum proportion of cement, water and

    aggregates to produce a concrete that satisfies the requirements of strength,

    workability, durability and economy. Mix design methods are useful as guides in the

    initial selection of these proportions. The final proportion to be adopted should be

    established by actual trials and adjustments on site.

    Mix design methods are based on the following two sample observations:

    a) The free w/c ratio is the single most important factor that influences the

    strength of the concrete.

    b) The water content is the single most important factor that influences the

    workability of the fresh concrete mix.

    In calculating w/c ratio in (a) above, only the weight of the free water is used. The

    total water in the concrete mix consists of the water absorbed by aggregate and the

    free water, which is the total water less than the absorbed water. It is available for the

    hydration and the lubrication of the mix.

    8

    INPUT 2

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    The water content in (b) is expressed as the weight of the free water per unit volume

    of concrete. The water content required for a specified workability depends on the

    maximum size, the shape, grading and surface texture of the aggregate but is

    relatively independent of the cement content. (i.e. the weight of cement per unit

    volume of concrete.)

    There are 3 mix design methods. They are:

    a) Department of Environment ( DOE method )

    b) American Concrete Institute ( ACI method )

    c) Road Note No. 4 Method

    (Please note that only DOE Method will be described in this unit)

    9

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    It is not so hard to find the right answers is it?

    Try to do your best. Best of luck!

    REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT2/

    Answer the following questions by indicating Y, for Yes or N for No for the

    statements given.

    10

    ACTIVITY 2b

    2.7 The aim of mix design is to select the optimum proportion of

    the constituents of concrete.

    2.8 w/c refers to water/cost ratio

    2.9 w/c refers to water/cement ratio.

    2.10 w/c ratio influences the strength of concrete.

    2.11 Water content affects the workability of concrete.

    2.12 Total water = free water + absorbed water.

    2.13 Water content is expressed in KN/m2.

    2.14 DOE stands for Department of Energy.

    2.15 DOE is the one of the mix design methods used in

    proportioning concrete constituent materials.

    2.16 The water content required to produce a certain

    workability in concrete mix will depend on the size,

    shape, texture and grading of aggregate.

    Y / N

    Y / N

    Y / N

    Y / N

    Y / N

    Y / N

    Y / N

    Y / N

    Y / N

    Y / N

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    Please check your answers here. Award 10 marks for every correct answer.

    Congratulations if you have got more than 80% correct!.

    ANSWERS:

    2.7 Y

    2.8 N

    2.9 Y

    2.10 Y

    2.11 Y

    2.12 Y

    2.13 N

    2.14 N

    2.15 Y

    2.16 Y

    11

    FEEDBACK 2b

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    2.17 DOE mix design method

    The principle objectives of DOE mix design method is to obtain a preliminary

    estimate of the mix proportions as a basis to make trial mixes to arrive at the final mix

    proportions that satisfy the strength , workability and durability requirements.

    The DOE mix design procedure is summarized as follows:

    Step 1: Determining the free w/c ratio

    a) Given the required characteristic strength at a specified age, use equation (1)

    to obtain the target mean strength at that age, which is of compressive strength

    to be used in the mix design.

    64.1+= km ff ..equation 1

    Where: fm = Target Mean Strength

    fk = Characteristic Strength

    = Deviation

    12

    INPUT 3

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    cf WWW3

    1

    3

    2+=

    REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT2/

    Step 2: Determining the water content

    Given the slump or VB time, determine the water content from Table (2). In using

    Table (2), when coarse and fine aggregates of different types are used, the water

    content W is estimated as follows:

    Table 2: Standard Deviation ()

    Conditions Standard deviation,

    (N/mm2)

    Good control with weight batching, use of

    graded aggregates, etc. Constantsupervision.

    4 - 5

    Fair control with weight batching. Use of

    two sizes of aggregates. Occasionalsupervision.

    5 7

    Poor control. Inaccurate volume batching of

    all-in aggregates. No supervision.

    7 8 and above

    Where,

    Wf = water content appropriate to the type of fine aggregate;

    Wc = water content appropriate to the type of coarse aggregate.

    The aggregate type in Table (2) refers to all the aggregates used and not just the

    coarse aggregate.

    15

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    = 1 -mc

    contentwatercontentcement

    .equation (3)

    Volume occupied by

    the aggregate

    REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT2/

    Step 3: Determining the cement content

    ...equation (2)

    The value given by equation (2) should be checked against any maximum and

    minimum cement contents that may have been specified.

    If the cement content calculated from equation (2) below is a specified minimum, this

    minimum must be used. If the calculated cement content is higher than a specified

    maximum, try changing the type of cement and the type and maximum size of the

    aggregate.

    Step 4: Determining the aggregate content

    The total aggregate content is calculated as follows:

    Where,

    c (3150 kg/m3) is the density of the cement particles and

    m(1000 kg/m3) is density of water.

    16

    Cement content (kg/m3) =)1(/)2(

    stepfromratiocwstepfromcontentwater

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    Therefore,

    Where,

    a is the density of the aggregate particles.

    a should be takenas 2600 kg/m3 for crushed aggregate.

    Step 5: Determining of the fine and coarse aggregate contents.

    Refer to Table (3) to determine the fine and coarse aggregate content. In this table,

    fine aggregate is classified into grading zones. For given slump and w/c ratio, the

    proportion of fine aggregate can be determined from Figure (2) in which the grading

    zones are these of Table (4).

    Table 3: The fine and coarse aggregate content

    Slump (mm) 0 - 10 10 - 30 30 - 60 60 - 180

    VB time (seconds) > 2 12 - 6 6 - 3 3 - 0

    Max. size of

    aggregate (mm)

    Type of

    aggregate

    10 Uncrushed 150 180 205 225Crushed 180 205 230 250

    20 Uncrushed 135 160 180 195

    Crushed 170 190 210 225

    40 Uncrushed 115 140 160 175

    crushed 155 175 190 205

    17

    Total aggregatecontent (kg/m3) = a [Volume occupied by aggregate].equation 4

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    Table 4: The grading zones

    Percentage by weight passing standard sieves

    Standard

    sieve

    Grading

    zone1

    Grading

    zone2

    Grading

    zone3

    Grading

    zone4

    10 mm 100 100 100 100

    5 mm 90 - 100 90 - 100 90 - 100 95 - 100

    No.7

    (2.36mm)

    60 - 95 75 - 100 85 - 100 95 - 100

    No.14(1.18 m)

    30 - 70 55 - 90 75- 100 90 100

    No.25(600 m)

    15 - 34 35 - 59 60 - 79 80 100

    No.52

    (300 m)

    5 - 20 8 - 30 12 - 40 15 50

    No.100(150 m)

    0 - 10 0 - 10 0 - 10 0 - 15

    Figure 2: Proportion of fine aggregate (per cent)

    18

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    How are you doing so far? Do not worry if you

    are confused. The following example will help

    you to understand more about the DOE method.

    Please go through this example thoroughly.

    Good Luck!

    REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT2/

    For example, suppose the slump is 10-30 mm. The w/c ratio is 0.47, and the fine

    aggregate is in grading zone 3, then Figure (2) gives the proportion of fine aggregate

    as between 32% and 38% by weight, say 35%. Therefore, for this particular example,

    Fine aggregate content = 35% of total aggregate content

    Coarse aggregate content = (100 35) % of total aggregate content.

    Note that Figure (2) is for use where the nominal maximum size of the coarse

    aggregate is 10mm. The DOE document contains similar design charts for 20mm and

    40mm maximum sizes.

    19

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    2.5.1 Example:

    Using DOE method, design a mix if the target mean strength is 43 N/mm2 at 28 days

    and the required slump is 10 30 mm. The following data are given :

    Cement : ordinary Portland

    Aggregate type :

    a) Coarse : uncrushed, max. Size 10 mm

    b) Fine : uncrushed, grading zone 4

    Maximum w/c ratio : 0.60

    Maximum cement content : 550 kg/m

    3

    (From Table 3.4, BS 8110 : Part 1)

    Minimum cement content : 300 kg/m3 (From Table 3.4, BS 8110 : Part 1)

    Solution:

    Follow step 1, you should get the answer as shown below:

    W/c ratio = 0.5

    Strength = 40 N/mm2 (28 days)

    Target Mean Strength (given) = 43 N/mm2

    From Figure 2: w/c ratio = 0.47

    Step 2: From Table 2,

    Water content = 180 kg/m3

    Step 3: From equation 2,

    Cement content =47.0

    180

    = 385 kg/m3

    300 kg/m3 and < 550 kg/m3

    20

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    REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT2/

    Step 4: From equation 3,

    Total aggregate content = ( ) ]1000

    180

    3150

    3851[2600

    = 1815 kg/m3

    Step 5: From table 3,

    Proportion of fine aggregate is 27.5 to 32% by weight, say 30%.

    : - fine aggregate content = 0.30 1815 = 545 kg/m3

    Coarse aggregate content = (1-0.30) 1815 = 1270 kg/m3

    Your answer may be summarized as follow:

    The required mix proportions are:

    Cement content: 385 kg/m3

    Water content : 180 kg/m3

    Fine aggregate content: 545 kg/m3

    Coarse aggregate content: 1275 kg/m

    3

    21

    GOOD! YOU

    HAVE DONE AGOOD JOB.

    KEEP IT UP!

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    REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT2/

    Fill in the blanks with the correct answers. Remember, you must do it on your own.

    2.17 The final mix proportions should satisfy the strength, workability

    and______________ requirements.

    2.18 In the DOE mix design method, only two (2) types of aggregates are

    considered. They are a)___________________________

    b)___________________________

    2.19 The data for workability include the _____________ and the

    ________________, but excludes the compacting factor.

    2.20 The mixes are designed for the cube ___________________ strength.

    2.21 The mix proportions are expressed in _____________________ and the unit

    is___________________.

    22

    ACTIVITY 2c

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    2.22 There are five (5) steps to follow in the preparation of the concrete mix design

    according to DOE Method. Match the steps according to the items needed at

    each stage.

    23

    STEP 2

    STEP 3

    STEP 4

    STEP 5

    STEP 1 fine and coarse aggregate

    free w/c ratio

    aggregate content

    water content

    cement content

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    Please check your answers here:

    2.17 Durability

    2.18 a) uncrushed

    b) crushed

    2.19 a) slump

    b) VB time

    2.20 compressive

    2.21 weights of materials per unit volume of fully compacted fresh concrete ,

    kg/m2

    24

    FEEDBACK 2c

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    2.22

    25

    STEP 2

    STEP 3

    STEP 4

    STEP 5

    STEP 1 fine and coarse aggregate

    free w/c ratio

    aggregate content

    water content

    cement content

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    1. The degree of workability of fresh concrete is measured by performing the

    slump test, compacting factor test and VB Consistometer test.

    2. Workability is the ease with which concrete can be mixed, placed, compacted

    and finished.

    3. For simple to normal reinforced concrete work, a slump between 0 to 5 mm is

    needed.

    4. Mix design method is a guide to the initial selection of the optimum

    proportion of cement, water and aggregates to produce concrete that satisfies

    strength, workability, durablity, and economy requirements.

    5. Mix design method is based on free water/ cement ratio and the water content

    of the concrete mix.

    6. The average strength of concrete is called the target mean strength and is

    statistically related to the required characteristic strength.

    26

    SUMMARY

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    7. DOE mix design method has three features. They are as follows:

    a) Mixes designed for the cube compressive strength.

    b) Data for workability include the slump and VB time but not the

    compacting factor.

    c) Only crushed and uncrushed aggregate are considered.

    d) The final mix proportions are expressed in term of weights of material

    per unit volume of fully compacted fresh concrete.

    8. The DOE mix design method involves five steps in the design

    27

    SELF-ASSESSMENT

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    REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT2/

    Answer all the questions given by circling the alphabet corresponding to the correct

    answer of your choice. Award one mark for every correct answer. Time allocation for

    this test is 30 minutes. You may start now when you are ready. You may refer to BS

    8110 if you wish. Good Luck!

    1. For structural design purposes, the unit weight of concrete made with normal

    aggregates is usually taken as

    A. 0.24 kN/m3

    B. 2.4 kN/m3

    C. 24.0 kN/m3

    D. 240 kN/m3

    2. The characteristic strength of concrete is based on __________________ day

    cube strength.

    A. 5

    B. 7

    C. 14

    D. 28

    28

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    REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT2/

    3. The following tests are to be performed if DOE method is used. Which of the

    following is not required?

    A. Compacting factor

    B. VB Consistometer

    C. Slump

    D. Setting time

    4. The water content required for a specific workability depends on a number of

    factors. Which of the following is not one of them?

    A. Maximum aggregates size

    B. Cement content

    C. The shape of aggregate used

    D. Grading of the aggregates

    5. The final mix proportions are expressed in .

    A. kg/m3

    B. g/m2

    C. g/m3

    D. mg/m2

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    6. Given that f cu is equal to 25 N/mm2 and = 4.5 N/mm2. The target mean

    strength is .

    A. 0.32 N/mm2

    B. 3.2 N/mm2

    C. 32.0 N/mm2

    D. 324.0 N/mm2

    7. The quantity 1.64 represents the current margin by which the target mean

    strength must .

    A. be less than

    B. be exceeded

    C. be equal to

    D. all of the above

    8. The standard deviation, depends on various factors. Which of the following

    is not one of them?

    A. Degree of supervision

    B. How weight batching is controlled

    C. Aggregate being graded or not

    D. Weather condition on the day of making concrete.

    30

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    REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT2/

    9. One of the listed items need not be specified in the final mix proportion.

    A. Admixture content

    B. Aggregate content

    C. Water content

    D. cement content

    10. If w/c = 0.58 and the water content is 200 kg/m3, what is the cement content

    needed in the concrete mix?

    A. 3.45 kg/m

    3

    B. 34.5 kg/m3

    C. 345.0 kg/m3

    D. 3450 kg/m3

    31

    FEEDBACK OF SELF-ASSESSMENT

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    REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT2/

    Now, check your answers below and calculate the percentage you have scored.

    Answers:

    1.C

    2. D

    3.A

    4. B

    5. A

    6. C

    7. B

    8. D

    9. A

    10. C

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    REINFORCED CONCRETE STRUCTURAL DESIGN C4301/UNIT2/

    You should score more than 80% to pass this unit. If your score is more than 80%,

    you may proceed to the next unit. Congratulations! But if you scored less than 80%,

    you should go through this unit again. You can go through the entire unit or only the

    sections you found difficult.

    Do not give up! Malaysia Boleh!

    See you in UNIT 3

    END OF UNIT 2

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