21. How many total cubic yards of coarse aggregate would be required to produce 150 yd³ of concrete if the coarse aggregate has a nominal size of 2.0 inch and a Fineness Modulus of 2.90? A. 110 C. 75 73 B. 0.73 D. 150 2.B 22. conc If 280 lb/yd³ of water is used in an air-entrained concrete mix with a coarse aggregate having a nominal aggregate size of 0.75 inches, which of the following would most likely to be the slump of the concrete? A. zero C. 3.5 inch B. 1.5 inch D. 6.5 inch

Structural Analysis
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Chapter2: Loads On Structures
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I need help understanding how A is the correct answer for problem 21 and B is the correct answer for problem 22. Please explain to me the procedure to get these answers. Thank you.

21. A How many total cubic yards of coarse aggregate would be required to produce 150 yd³ of concrete if
the coarse aggregate has a nominal size of 2.0 inch and a Fineness Modulus of 2.90?
A. 110
C. 75
B. 0.73
4.73
D. 150
22. If 280 lb/yd of water is used in an air-entrained concrete mix with a coarse aggregate having a nominal
aggregate size of 0.75 inches, which of the following would most likely to be the slump of the concrete?
A. zero
C. 3.5 inch
B. 1.5 inch
D. 6.5 inch
Relevant Tables and Equations:
TABLE 7.5 Bulk Volume of Coarse Aggregate per Unit Volume of Concrete*
Nominal Maximum
Size of Aggregate,
mm (in.)
9.5 (3/8)
12.5 (1/2)
19 (3/4)
25 (1)
37.5 (1¹)
50 (2)
75 (3)
150 (6)
Slump, mm (in.)
25 to 50
(1 to 2)
75 to 100
(3 to 4)
Bulk Volume of Dry-Rodded Coarse Aggregate
Per Unit Volume of Concrete for Different
Fineness Moduli of Fine Aggregate**
Fineness Modulus
150 to 175
(6 to 7)
2.40
0.50
0.66
0.71
0.75
0.78
0.82
9.5 (
207 (350)
228 (385)
243 (410)
2.60
101 (905i
0.48
0.69
0.73
0.76
12.5 (¹)
199 (335)
216 (365)
228 (385)
2.80
125 (205)
0.55
0.82
0.71
0.78
0.83
TABLE 7.8 Approximats Mixing Water in kg/m³ (b/yd) for Different Slumps and Nominal Maximum Aggregate Sizes
190 (315)
205 (340)
3.00
216 (360)
0.44
0.53
0.60
0.65
0.69
0.72
0.76
0.81
168 (270)
%Vs
193 (325)
202 (340)
Nominal Maximum Aggregate Size in mm (in.)**
19 (J
50 (2)***
25 (1) 37.5 (1)
Non-air-entrained concrete
179 (300)
166 (275)
=
n≥30 & s <500 psi
n230 & s≥ 500 psi
Yb (100)
# samples (n)
30
25
20
15
<15
GęXYw
Specified
Compressive Strength
1 MPa (psi)
<21 (<3000)
21 to 35 (3000 to 5000)
>35 (>5000)
(181 (300)
190 (315)
Air-entrained concrete
160 (270)
150 (250)
154 (260)
169 (285)
178 (300)
142 (240)
for = f + 1.34s
for = f +2.33s-500
Yo =
Modification factor (F)
1.00
1.03
75 (3)***
W solid
V₁
Required Average
Compressive Strength
for MPa (psi)
130 (220)
f+7.0 (+1000)
+8.5 (+1200)
+10.0 (fe + 1400)
100 (270)
122 (205)
1.08
1.16
(see table below)
conc
150 (6)***
145 (245) 124 (210)
113 (190)
10711801
Transcribed Image Text:21. A How many total cubic yards of coarse aggregate would be required to produce 150 yd³ of concrete if the coarse aggregate has a nominal size of 2.0 inch and a Fineness Modulus of 2.90? A. 110 C. 75 B. 0.73 4.73 D. 150 22. If 280 lb/yd of water is used in an air-entrained concrete mix with a coarse aggregate having a nominal aggregate size of 0.75 inches, which of the following would most likely to be the slump of the concrete? A. zero C. 3.5 inch B. 1.5 inch D. 6.5 inch Relevant Tables and Equations: TABLE 7.5 Bulk Volume of Coarse Aggregate per Unit Volume of Concrete* Nominal Maximum Size of Aggregate, mm (in.) 9.5 (3/8) 12.5 (1/2) 19 (3/4) 25 (1) 37.5 (1¹) 50 (2) 75 (3) 150 (6) Slump, mm (in.) 25 to 50 (1 to 2) 75 to 100 (3 to 4) Bulk Volume of Dry-Rodded Coarse Aggregate Per Unit Volume of Concrete for Different Fineness Moduli of Fine Aggregate** Fineness Modulus 150 to 175 (6 to 7) 2.40 0.50 0.66 0.71 0.75 0.78 0.82 9.5 ( 207 (350) 228 (385) 243 (410) 2.60 101 (905i 0.48 0.69 0.73 0.76 12.5 (¹) 199 (335) 216 (365) 228 (385) 2.80 125 (205) 0.55 0.82 0.71 0.78 0.83 TABLE 7.8 Approximats Mixing Water in kg/m³ (b/yd) for Different Slumps and Nominal Maximum Aggregate Sizes 190 (315) 205 (340) 3.00 216 (360) 0.44 0.53 0.60 0.65 0.69 0.72 0.76 0.81 168 (270) %Vs 193 (325) 202 (340) Nominal Maximum Aggregate Size in mm (in.)** 19 (J 50 (2)*** 25 (1) 37.5 (1) Non-air-entrained concrete 179 (300) 166 (275) = n≥30 & s <500 psi n230 & s≥ 500 psi Yb (100) # samples (n) 30 25 20 15 <15 GęXYw Specified Compressive Strength 1 MPa (psi) <21 (<3000) 21 to 35 (3000 to 5000) >35 (>5000) (181 (300) 190 (315) Air-entrained concrete 160 (270) 150 (250) 154 (260) 169 (285) 178 (300) 142 (240) for = f + 1.34s for = f +2.33s-500 Yo = Modification factor (F) 1.00 1.03 75 (3)*** W solid V₁ Required Average Compressive Strength for MPa (psi) 130 (220) f+7.0 (+1000) +8.5 (+1200) +10.0 (fe + 1400) 100 (270) 122 (205) 1.08 1.16 (see table below) conc 150 (6)*** 145 (245) 124 (210) 113 (190) 10711801
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