Question:

Mix ratios for M30 Grade concrete?

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  1. Grade of Concrete : M35
    Characteristic Strength (Fck) : 35 Mpa
    Standard Deviation : 1.91 Mpa*
    Target Mean Strength : T.M.S.= Fck +1.65 x S.D.
    (from I.S 456-2000) = 35+ 1.65×1.91
    = 38.15 Mpa

    Test Data For Material:
    Aggregate Type : Crushed
    Specific Gravity
    Cement : 3.15
    Coarse Aggregate : 2.67
    Fine Aggregate : 2.62

    Water Absorption:
    Coarse Aggregate : 0.5%
    Fine Aggregate : 1.0 %

    MIX DESIGN

    Take Sand content as percentage of total aggregates = 36%

    Select Water Cement Ratio = 0.43 for concrete grade M35

    (From Fig 2. of I.S. 10262- 1982)

    Select Water Content = 172 Kg

    (From IS: 10262 for 20 mm nominal size of aggregates Maximum Water Content = 186 Kg/ M3 )

    Hence, Cement Content= 172 / 0.43 = 400 Kg / M3

    Formula for Mix Proportion of Fine and Coarse Aggregate:

    1000(1-a0) = {(Cement Content / Sp. Gr. Of Cement) + Water Content +(Fa / Sp. Gr.* Pf )}

    1000(1-a0) = {(Cement Content / Sp. Gr. Of Cement) + Water Content +Ca / Sp. Gr.* Pc )}

    Where Ca = Coarse Aggregate Content

    Fa = Fine Aggregate Content

    Pf = Sand Content as percentage of total Aggregates

    = 0.36

    Pc = Coarse Aggregate Content as percentage of total Aggregates.

    = 0.64

    a0 = Percentage air content in concrete (As per IS :10262 for 20 mm nominal size of

    aggregates air content is 2 %) = 0.02

    Hence, 1000(1-0.02) = {(400 /3.15) + 172 +(Fa / 2.62 x 0.36)}

    Fa = 642 Kg/ c*m

    As the sand is of Zone II no adjustment is required for sand.

    Sand Content = 642 Kg/ c*m

    1000(1-0.02) = {(400 /3.15) + 172 +(Ca / 2.67 x 0.64)}

    Hence, Ca = 1165 Kg/ c*m

    From combined gradation of Coarse aggregates it has been found out that the proportion of 53:47 of 20 mm & 10 mm aggregates produces the best gradation as per IS: 383.

    Hence, 20 mm Aggregates = 619 Kg

    And 10 mm Aggregates = 546 Kg

    To obtain slump in the range of 150-190 mm water reducing admixture brand SP430 from Fosroc with a dose of 0.3 % by weight of Cement shall be used.

    Hence the Mix Proportion becomes:

    Cem


    W/C


    Water


    Sand


    20mm


    10mm


    Admix

    400


    0.43


    172


    635


    619


    564


    1.2

    1




    0.43


    1.6


    1.547


    1.36


    0.003

    Units – Kg/ M3

    Cement : Sand: Coarse Aggregates = 1 : 1.6 : 2.907

    We are thankful to Er. Ishan Kaushal for this valuable information.
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