Structural Analysis, 5th Edition
5th Edition
ISBN: 9788131520444
Author: Aslam Kassimali
Publisher: Cengage Learning
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Chapter 12, Problem 14P
To determine
Find the approximate axial forces, shears, and moments for the all members of the frames using cantilever method.
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Consider the specifications for an asphaltic concrete mixture and the results of a sieve analysis below.
Coarse aggregates:
Fine aggregates:
Filler:
60%
35%
5%
Percent of Weight of Aggregate or Filler
Passing
Sieve
Designation
Retained on
Sieve
Designation
Coarse
Aggregate
Fine
Aggregate
Mineral
Filler
3/4 in. (19 mm)
1/2 in.
6
1/2 in. (12.5 mm)
3/8 in.
15
3/8 in. (9.5 mm)
No. 4
50
-
No. 4 (4.75 mm)
No. 10
20
1
No. 10 (2 mm)
No. 40 (0.425 mm)
No. 40
9
35
-
No. 80
31
40
No. 80 (0.180 mm)
No. 200 (0.075 mm)
Total
No. 200
-
33
-
-
25
35
100
100
100
Determine the proportion of different aggregates to obtain the required gradation.
Percent of Total Weight of Mixture
Passing
Sieve
Designation
Retained on
Sieve
Designation
Coarse
Aggregate
Fine
Aggregate
3/4 in. (19 mm)
1/2 in. (12.5 mm)
3/8 in. (9.5 mm)
1/2 in.
3/8 in.
No. 4
No. 4 (4.75 mm)
No. 10
No. 10 (2 mm)
No. 40
No. 40 (0.425 mm)
No. 80
No. 80 (0.180 mm)
No. 200
No. 200 (0.075 mm)
Total
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Mineral
Filler
Total
100
Results obtained from laboratory tests on a sample of RC-250 asphalt cement are given. Determine whether the properties of this material meet the Asphalt Institute specifications for this type of material; if not, note the differences. (For each specification, enter the minimum acceptab
value in the same units as used in the test results.)
• Kinematic viscosity at 140°F (60°C) = 230 centistokes
• Flash point (Tagliabue open cup) = 89°F
• Distillation test where distillate percent by volume of total distillate to 680°F (360ºC)
• To 437°F (225°C) = 27%
• To 500°F (260°C) = 69%
• To 600°F (316°C) = 72%
• Residue from distillation to 680°F (360°C) by volume percentage of sample by difference
• Tests on Residue from Distillation:
• Ductility at 77°F (25°C) = 92 cm
• Absolute viscosity at 140°F (60°C) = 620 poises
⚫ Solubility = 90%
Property
Kinematic Viscosity
=
74%
Specification
Test Results
Were Specifications Met?
centistokes
230 centistokes
---Select--- ✓
Flash Point
°F
89°F…
Problem 2
Two machines produce rivets for a factory job. The number of sub-standard rivets per hour by the two
machines are random variables, denoted by X1 and X2. The bivariate PMF of X1 and X2, Px,x,(x1,x2), is
given in the table below.
X2=0
X2=1
X2=2
X2=3
X₁-0
0.07
0.05
0.02
0.01
X₁ =1
0.05
0.16
0.12
0.02
X₁ =2
0.02
0.12
0.17
0.05
X₁ =3
0.01
0.01
0.05
0.07
Chapter 12 Solutions
Structural Analysis, 5th Edition
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