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Explanation & Answer

Completed

Surname 1
Name:
Tutor:
Course:
Date:
Cement formation and calculations
Step 1 of 5
We Know that concrete is made up of cement, fine aggregate, coarse aggregate and water by
weight.
Therefore,

Vol. of concrete = [

𝑉𝑜𝑙. 𝑜𝑓 𝑐𝑒𝑚𝑒𝑛𝑡 + 𝑉𝑜𝑙. 𝑜𝑓 𝑓𝑖𝑛𝑒 𝑎𝑔𝑔𝑟𝑒𝑔𝑎𝑡𝑒
+ 𝑉𝑜𝑙 𝑜𝑓 𝑐𝑜𝑎𝑟𝑠𝑒 𝑎𝑔𝑔𝑟𝑒𝑔𝑎𝑡𝑒
]+ Vol. of air in concrete
+𝑉𝑜𝑙. 𝑜𝑓 𝑤𝑎𝑡𝑒𝑟 𝑏𝑦 𝑤𝑒𝑖𝑔ℎ𝑡

Here, we have given the mix proportions as
IC: 2.5FA: 3.5CA: 0.5W by weight
Step 2 of 5
The weight of cement (We) required in 2 yd3 (54 ft3) of concrete can be calculated using the
equation given bellow:

Surname 2
𝑃𝑟𝑜𝑝𝑜𝑡𝑖𝑜𝑛 𝑜𝑓 𝑐𝑒𝑚𝑒𝑛𝑡
𝑠𝑝𝑒𝑐𝑖𝑓𝑖𝑐 𝑔𝑟𝑎𝑣𝑖𝑡𝑦 𝑜𝑓 𝑐𝑒𝑚𝑒𝑛𝑡
𝑝𝑟𝑜𝑝𝑜𝑡𝑖𝑜𝑛 𝑜𝑓 𝑓𝑖𝑛𝑒 𝑎𝑔𝑔𝑟𝑖𝑔𝑎𝑡𝑒

+

𝑤

Vol. of concrete = 𝑠𝑝𝑒𝑐𝑖𝑓𝑖𝑐 𝑤𝑒𝑖𝑔ℎ𝑡 𝑜𝑓 𝑤𝑎𝑡𝑒𝑟

+

𝑠𝑝𝑒𝑐𝑖𝑓𝑖𝑐 𝑔𝑟𝑎𝑣𝑖𝑡𝑦 𝑜𝑓 𝑓𝑖𝑛𝑒 𝑎𝑔𝑔𝑟𝑒𝑔𝑎𝑡𝑒
𝑝𝑟𝑜𝑝𝑜𝑡𝑖𝑜𝑛 𝑜𝑓 𝑐𝑜𝑢𝑟𝑠𝑒 𝑎𝑔𝑔𝑟𝑒𝑔𝑎𝑡𝑒
𝑠𝑝𝑒𝑐𝑖𝑓𝑖𝑐 𝑔𝑟𝑎𝑣𝑖𝑡𝑦 𝑜𝑓 𝑐𝑜𝑎𝑟𝑠𝑒 𝑎𝑔𝑔𝑟𝑖𝑔𝑎𝑡𝑒
𝑝𝑟𝑜𝑝𝑜𝑡𝑖𝑜𝑛 𝑜𝑓 𝑤𝑎𝑡𝑒𝑟

[
(

𝑣𝑜𝑙𝑢𝑚𝑒 𝑜𝑓 𝑐𝑜𝑛𝑐𝑟𝑒𝑡𝑒
100

+ % air content

+

𝑠𝑝𝑒𝑐𝑖𝑓𝑖𝑐 𝑔𝑟𝑒𝑣𝑖𝑡𝑦 𝑜𝑓 𝑤𝑎𝑡𝑒𝑟

)

Where
The specific weight of water is 62.4ib/ft3
The specific gravity of cement is 3.15,
The specific gravity of fine aggregate is 2.65,
The specific gravity of coarse aggregate is 2.75,
The specific gravity of water is 1.
Step 3 of 5
The proportion of cement is 1
The proportion of fine aggregate is 2.5
The proportion of coarser aggreg...


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