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How to Calculate Cement, Sand, and Aggregate Quantities in Concrete?

Posted on May 20, 2022

CONCRETE:-

Concrete it’s a construction component, a mixture of cement, sand, and course or fine aggregate with water which is called us concrete, which is used in construction in different structures, In Construction industry concrete are used to mix in following ways as follows

1.Hand Mix Concrete 2. Machine mix Concrete 3. Ready Mix Concrete

How to Calculate Cement, Sand, and Aggregate Quantities in Concrete

For Example size of slab
Length (L) – 1m, Width (B) – 1m, Thickness /Depth (D) -1.0 m

SO, Total Volume of concrete = (L x B x D) = 1 x 1 x 1 = 1.0 mᶟ

if Grade of Concrete -M7.5 ,  Ratio of M 7.5 Concrete – 1 : 4 : 8

Which Means 1% of  Cement, 4% of  Sand & 8% of Aggregate

FORMULA TO FIND THE QUANTITIES OF CEMENT, SAND, AGGREGATE IS

Formula = \frac{Dry Volume of Concrete  *  Volume of Concrete  *  Ratio of (Cement / Sand /Aggregate) }{Total Ratio (Cement + Sand + Aggregate)}  

Dry Volume of Concrete -1.54 mᶟ  , Volume of Concrete -1.0 mᶟ

Ratio of Cement = 1,  Ratio of Sand =4,  Ratio of Aggregate =8 ,  Total Ratio (1+ 4+ 8) = 13

Required Quantity of Cement , Sand & Aggregate in 10 mᶟ Concrete is

Cement = \frac{1.54 * 1 * 1}{ 1 +  4 +  8}   = 0.118 mᶟ


Sand= \frac{1.54 * 1 * 4}{ 1 +  4 +  8}   = 0.474 mᶟ


Aggregate = \frac{1.54 * 1 * 8}{ 1 +  4 +  8}   = 0.948 mᶟ

Which Means 1.0 mᶟ of M7.5 Grade Concrete Required,

Cement – 0.118 mᶟ / 1mᶟ of cement Equal to 29 bags of Cement,

So, 1.184 x 29 = 3.43 Bags of Cement is required

1 Bag of cement to is Equal to 50Kg, So 50 x 3.43 = 171.169 kg Cement Required (Without Any Wastage)

Sand – 0.474 mᶟ / 1mᶟ equal to 35.31 cu.ft / cubic foot / ftᶟ

So, 0.474 x 35.31 = 16.732 cu.ft / cubic foot Sand is required (Without Any Wastage)

Aggregate – 0.948 mᶟ / 1mᶟ equal to 35.31 cu.ft / cubic foot / ftᶟ

So, 0.948 x 35.31 = 33.463 cu.ft / cubic foot Aggregate is required (Without Any Wastage)

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4 thoughts on “How to Calculate Cement, Sand, and Aggregate Quantities in Concrete?”

  1. Israfil says:
    August 19, 2023 at 6:15 pm

    Hi, may I get all information of civil engineering calculation?

    Reply
  2. LASISI TAOFEEK says:
    August 19, 2023 at 6:17 pm

    The NOTE is very interesting. I wish you to supply me more it. Thanks.

    Reply
  3. Wahab Kamolideen says:
    August 20, 2023 at 2:12 am

    How did you convert volume of cement to bag of cement?

    Reply
    1. Iyman Faisal says:
      August 20, 2023 at 6:28 am

      1mᶟ of cement Equal to 29 bags of Cement,
      1 Bag of cement to is Equal to 50Kg.
      For full details:- https://civilengineeringqs.com/how-to-calculate-cement-sand-and-aggregate-quantities-in-concrete/

      Reply

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