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    BUILDING TECHNOLOGY AND MANAGEMENT

    CONCRETE MIX DESIGN

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    INTRODUCTION

    Concrete is obtained by mixing cement, fine aggregate, coarse

    aggregate, water and admixtures in required proportions. The

    mixture when placed in forms and allowed to cure becomes

    hard like stone.

    The hardening is caused by chemical action between water and

    the cement due to which concrete grows stronger with age.

    It is the most widely-used man-made construction material in

    the world.

    2CONCRETE MIX DESIGN

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    CONCRETE MAKING MATERIALS

    Cement

    Aggregates

    Water

    Admixtures

    3CONCRETE MIX DESIGN

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    CEMENT

    Cement and water forms the active component of concrete, while

    the inactive group comprises the fine and coarse aggregates.

    The cement and water form a paste that hardens and bonds the

    aggregates together.

    Types of CementAlthough around 18 types of cements are recognized by BIS, more

    commonly used ones are:

    Ordinary Portland Cement 33, 43, & 53 grade OPC,

    Blended Cements (PPC and PSC).

    Sulphate Resisting Cement (SRC),

    Low Heat Portland Cement (LHPC),

    Hydrophobic Portland Cement,

    Colored Cement (White Cement).

    4CONCRETE MIX DESIGN

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    AGGREGATES

    They are cheaper than cement and impart greater volume

    stability and durability to concrete.

    The main purpose is to provide bulk to the concrete.

    Some of the aggregates may be chemically active.

    CLASSIFICATION Geological originnatural and artificial

    Sizefine, coarse and all-in

    Shaperounded, irregular, angular, flaky and elongated

    Unit weightnormal-weight, heavyweight and lightweight

    5CONCRETE MIX DESIGN

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    WATER

    The most important and least expensive ingredient of concrete.

    One part of the water is used in the hydration of cement to formthe binding matrix.

    The remaining water affords lubrication and workability to the

    concrete.

    Water-cement ratio depends on the grade of concrete, its

    workability, durability, nature and type of aggregates etc. Potable water is ideal for concreting.

    Seawater may be used in PCC.

    6CONCRETE MIX DESIGN

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    ADMIXTURES

    Added to the concrete immediately or during mixing to modify its

    properties in the fresh or hardened state.

    Types:

    Accelerators - speed up the initial set of concrete.

    Retardersdelay the setting time of concrete mix.

    Plasticizers and Super-plasticizers - water reducers.

    Air entraining admixtures

    Water proofers

    Pigments

    Corrosion-inhibiting chemicals

    Antifungal admixtures

    7CONCRETE MIX DESIGN

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    TYPES OF CONCRETE MIXES

    1. NOMINAL MIXMixes of fixed proportions, IS:456-2000 permits nominal mixes

    for concretes of strength M20 or lower

    2. DESIGN MIX

    Designed on the basis of requirements of the concrete infresh and hardened states.

    8CONCRETE MIX DESIGN

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    TRIAL MIXES

    Prepared to verify whether the Design Mix would perform as

    per the assumptions. If appreciable variation exists, theavailable alternatives are:

    1. directly employ the trial mix proportions at the site

    2. modify the trial mix proportions on the basis of intuition and

    employ the revised proportions at the site3. prepare further trial mixes incorporating changes in the

    proportions based on the feedback generated from the

    previous mix.

    9CONCRETE MIX DESIGN

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    CONCRETE MIX DESIGN

    DEFINITION

    Mix Design is the science of determining the relative

    proportions of the ingredients of concrete to achieve the

    desired properties in the most economical way.

    CONCRETE MIX DESIGN 10

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    PRINCIPLES OF MIX DESIGN

    1 The environment exposure condition for the structure

    2 The grade of concrete, their characteristic strengths and

    standard deviations

    3 The type of cement4 The types and sizes of aggregates and their sources of supply

    5 The nominal maximum sizes of aggregates

    6 Maximum and minimum cement content in kg/m3

    7 Water cement ratio

    8 The degree of workability of concrete based on placing

    conditions

    CONCRETE MIX DESIGN 11

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    9 Air content inclusive of entrained air

    10 The maximum/minimum density of concrete

    11 The maximum/minimum temperature of fresh concrete

    12 Type of water available for mixing and curing

    13 The source of water and the impurities present in it.

    CONCRETE MIX DESIGN 12

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    CONCRETE MIX DESIGN 13

    IS 456:2000

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    CONCRETE MIX DESIGN 14

    IS 456:2000

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    CONCRETE MIX DESIGN 15

    IS 456:2000

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    FACTORS DEFINING THE CHOICE OF MIX

    PROPORTIONS

    1. Compressive Strength

    2. Workability

    3. Durability

    4. Type, size and grading of aggregates

    5. Aggregate-cement ratio

    CONCRETE MIX DESIGN 16

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    COMPRESSIVE STRENGTH

    Abrams Law

    log F = log A1x log B1

    where F is the compressive strength

    A1, B1 are constants and

    x is the w/c ratio by weight

    CONCRETE MIX DESIGN 17

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    WORKABILITY

    that property of freshly mixed concrete which determines the

    ease and homogeneity with which it can be mixed, placed,

    consolidated and finished.

    DURABILITY

    the resistance to weathering action due to environmental

    conditions such as changes in temperature and humidity,

    chemical attack, abrasion, frost and fire.

    CONCRETE MIX DESIGN 18

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    REQUIREMENTS AND TESTS OF MATERIALS REQUIRED

    FOR MIX DESIGN

    ASSIGNMENT # 1 TO BE SUBMITTED BY 07-02-2011

    Roll #s 01-21Cement

    Roll #s 22-42Aggregates

    Roll #s 43-63Water and Admixtures

    CONCRETE MIX DESIGN 19

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    METHODS OF CONCRETE MIX DESIGN

    1. American Concrete Institute Committee 211 method2. Bureau of Indian Standards Recommended method IS 10262-82

    3. Road note No. 4 (Grading Curve) method

    4. Department Of Environment (DOE - British) method

    5. Trial and Adjustment Method6. Fineness modulus method

    7. Maximum density method

    8. Indian Road Congress, IRC 44 method

    CONCRETE MIX DESIGN 20

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    American Concrete Institute Method of Mix Design

    (a) Data to be collected :

    (i ) Fineness m odu lus of selected F.A.

    (i i ) Unit weight of dry rodd ed coarse agg regate.

    (i i i ) Sp. gravi ty o f co arse and fine aggregates in SSD condit ion

    (iv ) Ab so rpt ion character ist ics of bo th coarse and fine

    aggregates.

    (v ) Specif ic g ravi ty of cement.

    (b) From the minimum strength specified, estimate the average

    design strength by using standard deviation.

    (c) Find the water/cement ratio from the strength and durability

    points of view. Adopt the lower value.

    CONCRETE MIX DESIGN 21

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    (d) Decide the maximum size of aggregate to be used. Generally

    for RCC work 20 mm and pre-stressed concrete 10 mm size are

    used.

    (e) Decide workability in terms of slump for the given job.

    (f ) The total water in kg/m3of concrete is determined,

    corresponding to the selected slump and selected maximumsize of aggregate.

    (g ) Cement content is computed by dividing the total water

    content by the water/cement ratio.

    (h) Select the bulk volume of dry rodded coarse aggregate per unit

    volume of concrete, for the particular maximum size of coarse

    aggregate and fineness modulus of fine aggregate.

    CONCRETE MIX DESIGN 22

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    ( j ) The weight of C.A. per cubic meter of concrete is calculated by

    multiplying the bulk volume with bulk density.

    (k ) The solid volume of coarse aggregate in one cubic meter ofconcrete is calculated by knowing the specific gravity of C.A.

    (l ) Similarly the solid volume of cement, water and volume of air is

    calculated in one cubic meter of concrete.

    (m) The solid volume of FA is computed by subtracting from the

    total volume of concrete the solid volume of cement, CA, water

    and entrapped air.

    (n) Weight of fine aggregate is calculated by multiplying the solid

    volume of fine aggregate by specific gravity of F.A.

    CONCRETE MIX DESIGN 23

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    ACI METHOD: DESIGN EXAMPLE

    1 Design a concrete mix for the construction of an elevated water

    tank. The specified design strength of concrete (characteristic

    strength) is 30 MPa at 28 days measured on standard cylinders.

    Standard deviation can be taken as 4 MPa. The specific gravity

    of FA and C.A. are 2.65 and 2.7 respectively. The dry rodded

    bulk density of C.A. is 1600 kg/m3, and fineness modulus of FA

    is 2.80. Ordinary Portland cement (Type I) will be used. A slump

    of 50 mm is necessary. C.A. is found to be absorptive to the

    extent of 1% and free surface moisture in sand is found to be 2

    per cent. Assume any other essential data.

    CONCRETE MIX DESIGN 24

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    1 Mean Cylinder Compressive Strength

    Assuming 5 per cent of results are allowed to fall below

    specified design strength,

    The mean strength,

    fm= fmin+ ks

    = 30 + 1.64 x 4

    = 36.5 MPa

    2 Water/cement ratio

    Strength criteria

    Durability criteria

    CONCRETE MIX DESIGN 25

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    CONCRETE MIX DESIGN 26

    Strength Criteria

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    CONCRETE MIX DESIGN 27

    Durability Criteria

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    CONCRETE MIX DESIGN 28

    3 Mixing Water Content

    Slump = 50 mmMaximum size of aggregate = 20 mm

    Concrete is non air-entrained

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    CONCRETE MIX DESIGN 29

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    CONCRETE MIX DESIGN 30

    The mixing water content is 185 kg/m3of concrete

    The approximate entrapped air content is 2%.

    The required cement content =185/0.47= 394 kg/m3

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    CONCRETE MIX DESIGN 31

    4 Bulk Volume of C.A.

    Maximum size of C.A = 20mm

    Fineness Modulus of F.A. = 2.80

    Find the dry rodded bulk volume of C.A.

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    CONCRETE MIX DESIGN 32

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    CONCRETE MIX DESIGN 33

    The dry rodded bulk volume of C.A. = 0.62 per unit volume of

    concrete

    The weight of C.A. = 0.62 x 1600

    = 992 kg/m3

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    CONCRETE MIX DESIGN 34

    5 The first estimate of density of fresh concrete = 2355 kg/m3

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    CONCRETE MIX DESIGN 35

    The weight of all the known ingredients of

    concrete

    Weight of water = 185 kg/m3

    Weight of cement = 394 kg/m3

    Weight of C.A. = 992 kg/m3

    Weight of F.A. = 2355(185 + 394 + 992)

    = 784 kg/m3

    6 Weight of FA

    Alt ti l th i ht f F A b d t i d b th

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    CONCRETE MIX DESIGN 36

    Alternatively, the weight of F.A. can be determined by the more

    accurate absolute volume method

    Absolute Volume = weight/(1000) m3

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    CONCRETE MIX DESIGN 37

    Total absolute volume = 697 x 103cm3

    Absolute volume of F.A. = (1000697) x 103

    = 303 x 103

    Weight of FA = 303 x 2.65

    = 803 kg/m3

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    CONCRETE MIX DESIGN 38

    7 Estimated quantities of materials per cubic meter of

    concrete are:

    Cement = 394 kg

    F.A = 803 kg

    C.A = 992 kg

    Water = 185 kg

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    CONCRETE MIX DESIGN 39

    8 Proportions

    C : F.A : C.A : water

    394 : 803 : 992 : 185

    1 : 2.04 : 2.52 : 0.47

    Weight of materials for one bag mix

    in kg = 50 : 102 : 126 : 23.5

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    CONCRETE MIX DESIGN 40

    9 The above quantities is on the basis that both F.A

    and C.A are in saturated and surface dry condition

    (SSD conditions).

    FA has surface moisture of 2%

    Total free surface moisture in FA = (2/100 x 803)

    = 16.06 kg/m3

    Weight of F.A in field condition = 803 + 16.06 = 819.06 kg/m3

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    CONCRETE MIX DESIGN 41

    Quantity of water absorbed by C.A. = (1/100 x 992) = 9.92 kg/m3

    Weight of C.A in field condition = 9929.92

    = 982 kg/m3

    C.A absorbs 1% water

    Water contributed by F.A = 16.06 kg

    Water absorbed by C.A. = 9.92 kg

    Extra water contributed by aggs. = 16.069.92 = 6.14 kg

    Total water content = 185.006.14

    = 179 kg/m3

    Change in Water Content

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    CONCRETE MIX DESIGN 42

    Cement = 394 kg/m3

    F.A. = 819 kg/m3

    C.A. = 982 kg/m3

    Water = 179 kg/m3

    Field density of fresh concrete = 2374

    kg/m3

    Quantities of materials to be used in field, corrected for

    free surface moisture in F.A and absorption characteristic

    of C.A

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    2. A mix with a mean 28-day compressive strength of 35 MPa and

    a slump of 50 mm is required, using OPC. The maximum size

    of well shaped, angular aggregate is 20mm, its bulk density is

    1600 kg/m3and its specific gravity is 2.64. The available fine

    aggregate has a fineness modulus of 2.60 and a specific

    gravity of 2.58. No air-entrainment is required.

    CONCRETE MIX DESIGN 43

    Water/Cement ratio

    As durability criteria is not

    mentioned, consider strength alone

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    CONCRETE MIX DESIGN 44

    Strength Criteria

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    Water/cement ratio =0.48

    CONCRETE MIX DESIGN 45

    Slump = 50 mmMax size of aggregate = 20 mm

    Determine water content

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    CONCRETE MIX DESIGN 46

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    CONCRETE MIX DESIGN 47

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    Composition of concrete (kg/m3)

    Water = 185

    Cement = 386

    CA = 1020

    FA = 738

    Density of Concrete = 2329 (kg/m3)

    CONCRETE MIX DESIGN 48

    ROAD NOTE No 4 METHOD OF MIX DESIGN

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    ROAD NOTE No. 4 METHOD OF MIX DESIGN

    Proposed by the Road Research Laboratory, UK (1950)

    Procedure:

    1. The average compressive strength of the mix to be designed is

    obtained by applying control factors to the minimum

    compressive strength

    2. Water/cement ratio is read from compressive strength v/s w/c

    ratio graph

    3. Proportion of combined aggregates to cement is determined

    from tables, for maximum size 40 mm and 20 mm

    4. If the aggregate available differs from the standard gradings,

    combine FA and CA so as to produce one of the standard

    gradingsCONCRETE MIX DESIGN 49

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    5. The proportion of cement, water, FA and CA is determined

    from knowing the water/cement ratio and the

    aggregate/cement ratio.

    6. Calculate the quantities of ingredients required to produce 1

    m3of concrete, by the absolute volume method, using the

    specific gravities of cement and aggregates.

    CONCRETE MIX DESIGN 50

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    DRAWBACKS OF ROAD NOTE NO. 4 METHOD

    1. Cannot be used directly for the design of air - entrained

    concrete

    2. No recommendations for durability or strength, regarding the

    water/cement ratio

    3. The design tables refer to mixes in which the FA and CA are of

    the same shape

    4. In selecting aggregate/cement ratio, only 3 shapes of

    aggregates and 4 gradings are recommended.

    CONCRETE MIX DESIGN 51

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    DOE METHOD OF MIX DESIGN

    Can be used for concrete containing fly ash.

    PROCEDURE

    1. Target mean strength is calculated

    2. Select water/cement ratio, from the type of cement and CA.

    Compare this with the ratio from durability conditions.

    3. Decide the water content for required workability4. Compare the cement content with the minimum cement content

    value and adopt the higher value

    5. Find out the total aggregate content

    6. Determine the proportion of FA using the appropriate FA% v/s

    CA size graph, and find the weight of CA and FA

    7. Work out a trial mix.

    CONCRETE MIX DESIGN 52

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    BIS RECOMMENDED MIX DESIGN METHOD

    The BIS recommended mix design procedure is covered in IS

    10262-82.

    In line with IS 456-2000, the first revision IS 10262-2009 was

    published, to accommodate some of the following changes:

    Increase in strength of cement

    Express workability in terms of slump, rather than the

    compacting factor

    Extend the W/C ratio v/s compressive strength graph

    CONCRETE MIX DESIGN 53

    Modifications in IS 10262-2009

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    CONCRETE MIX DESIGN 54

    Modifications in IS 10262 2009

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    MIX DESIGN BASED ON IS RECOMMENDATIONS

    Based on IS 10262:1982

    Procedure:

    CONCRETE MIX DESIGN 55

    1. Target mean strength for mix design:

    fck*= fck+ tS

    where fck= characteristic compressive strength at 28 days

    S = standard deviation

    t = a statistical value depending on the risk factor.

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    CONCRETE MIX DESIGN 56

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    CONCRETE MIX DESIGN 57

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    2. Selection of Water/Cement ratio

    CONCRETE MIX DESIGN 58

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    4. Selection of Water Content and Fine to Total Aggregate ratio

    CONCRETE MIX DESIGN 60

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    CONCRETE MIX DESIGN 61

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    5. Calculation of Cement Content:

    cement by mass = Water content/Water cement ratio

    To be checked against the minimum cement content for the requirement

    of durability and the greater of the two values to be adopted.

    CONCRETE MIX DESIGN 62

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    6. Calculation of aggregate content:

    CONCRETE MIX DESIGN 63

    7 A t l titi i d f i

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    7. Actual quantities required for mix

    Adjust the mix for deviations from assumed conditions

    CONCRETE MIX DESIGN 64

    8. Check the calculated mix proportions

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    DESIGN EXAMPLE: BIS RECOMMENDED METHOD

    Grade M20

    (a ) Design stipulations

    (i ) Characteristic compressive strength

    required in the field at 28 days - 20 MPa

    (ii ) Maximum size of aggregate - 20 mm (angular)

    (iii ) Degree of workability - 0.90 compacting factor

    (iv ) Degree of quality control - Good

    (v ) Type of Exposure - Mild

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    (b) Test data for Materials

    (i ) Specific gravity of cement - 3.15

    (ii ) Compressive strength of cement at 7 days - Satisfies the

    requirement of IS: 2691989

    (iii ) 1. Specific gravity of coarse aggregates - 2.60

    2. Specific gravity of fine aggregates - 2.60

    (iv ) Water absorption:1. Coarse aggregate - 0.50%

    2. Fine aggregate - 1.0%

    (v ) Free (surface) moisture:

    1. Coarse aggregate - Nil2. Fine aggregate - 2.0%

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    Design Procedure

    1. Target mean strength of concrete

    fck*= fck+ tS

    CONCRETE MIX DESIGN 67

    fck= 20, t = 1.64 , S = 4

    fck*= 26.6 MPa

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    2. Selection of Water/Cement Ratio

    CONCRETE MIX DESIGN 68

    Durability Criteria: Mild Exposure Conditions

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    CONCRETE MIX DESIGN 69

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    W/C ratio from strength considerations = 0.50

    W/C ratio from durability considerations = 0.55

    Adopt the lower value

    CONCRETE MIX DESIGN 70

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    3. Selection of water and sand content

    CONCRETE MIX DESIGN 71

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    Adjustments in Water and Sand Contents

    CONCRETE MIX DESIGN 72

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    4. Determination of cement content

    Water-cement ratio = 0.50

    water = 191.6 kg/m3

    CONCRETE MIX DESIGN 73

    Cement = 191.6/0.50 = 383 kg/m3

    Is this satisfactory for mild exposure condition?

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    5. Determination of coarse and fine aggregate contents

    Specified max. size of aggregate = 20 mm

    Corresponding entrapped air = 2%

    CONCRETE MIX DESIGN 74

    fa = 546 kg/m3,

    Ca= 1188 kg/m3

    Fi l Mi P ti

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    Final Mix Proportions

    Water Cement FA CA

    191.6 383 546 1188

    0.50 1 1.425 3.10


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