1. A concrete mix is produced in the laboratory using the following batch quantities: 16 kg of cement (C); 4 kg of fly ash (F); 10 kg of water (W); 40 kg of fine aggregate (FA) and 80 kg of coarse aggregate (CA). The relative density (or specific gravity) of cement, fly ash, fine aggregate, and coarse aggregate are 3.15, 2.40, 2.60, and 2.65, respectively. Assume that the aggregates are in the saturated surface dry (SSD) condition. If the amount of entrapped air in compacted concrete is 2%, determine the following: a. Mix proportions by weight b. Volumetric proportion of concrete components (in percentage) c. Unit weight (or wet density) of concrete d. Mix compositions (i.e., cement, aggregate, and water contents in kg/m3) e. Yield of the concrete batch f. If a concrete slab on ground, having the length of 3 m with 500 mm width and 100 mm thick, to be made, determine the number of batch weights, allowing 20% wastage of concrete. [Ans: (a) C : F : W : FA : CA = 1 : 0.25 : 0.625 : 2.5 : 5.0; (b) VC = 7.98%, VF = 2.62%, VW = 15.72%, VFA = 24.20%, VCA = 47.47%; (c) 2358 kg/m3; (d) WC = 252 kg/m3, WF = 63 kg/m3, WW = 157 kg/m3, WFA = 629 kg/m3, WCA = 1258 kg/m3; (e) 0.0636 m3; (f) 3]

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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1. A concrete mix is produced in the laboratory using the following batch quantities: 16 
kg of cement (C); 4 kg of fly ash (F); 10 kg of water (W); 40 kg of fine aggregate (FA) 
and 80 kg of coarse aggregate (CA). The relative density (or specific gravity) of 
cement, fly ash, fine aggregate, and coarse aggregate are 3.15, 2.40, 2.60, and 2.65, 
respectively. Assume that the aggregates are in the saturated surface dry (SSD) 
condition. If the amount of entrapped air in compacted concrete is 2%, determine the 
following: 
a. Mix proportions by weight 
b. Volumetric proportion of concrete components (in percentage) 
c. Unit weight (or wet density) of concrete 
d. Mix compositions (i.e., cement, aggregate, and water contents in kg/m3) 
e. Yield of the concrete batch 
f. If a concrete slab on ground, having the length of 3 m with 500 mm width and 
100 mm thick, to be made, determine the number of batch weights, allowing 
20% wastage of concrete. 
[Ans: (a) C : F : W : FA : CA = 1 : 0.25 : 0.625 : 2.5 : 5.0; (b) VC = 7.98%, VF = 
2.62%, VW = 15.72%, VFA = 24.20%, VCA = 47.47%; (c) 2358 kg/m3; (d) WC = 252 
kg/m3, WF = 63 kg/m3, WW = 157 kg/m3, WFA = 629 kg/m3, WCA = 1258 kg/m3; (e) 
0.0636 m3; (f) 3] 

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