2. [4 points] In a concrete lab, the following materials were used to make 72.5

Question

2. [4 points] In a concrete lab, the following materials were used to make 72.5 lb of concrete. .Portland cement-10.37 lb Slag cement 1.85 lb Sand 19.26 lb . Coarse aggregate 35.74 lb The concrete was measured to have a unit weight of 145 lb/ft Water= 2385 mL a) What was the w/cm ratio for the concrete? b) What was the concrete mix design in the unit of lblyd? c) What was the replacement rate of cementitious materials? d) Comparing this mix design to the concrete grade as designated in Chapter 5 Structures, Section 501.3.2.2 in the Wisconsin Department of Transportation 2018 Standard Specification, which concrete grade may this mix design be classified to (e.g. A, B, C, E, etc.)?

Explanation / Answer

a) water = 2385 ml = 0.002385 m3

weight of water = volume * density = 0.002385 * 1000 = 2.385 kg = 5.528 lb (1 kg = 2.2046 lb)

water/cement ratio, w/c ratio = 5.528/(10.37+1.85) = 0.4524

b) Volume of concrete produced = mass/density = 72.5/145 = 0.5 ft3 = 0.0185 yd3

Concrete mix design = mass/volume = 72.5/0.0185 = 3918.92 lb/yd3

c) Replacement rate of cementious materials = 1.85/10.37 = 0.1784 = 17.84%

d) Based on the slag cement used, concrete mix is grade C-S

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