Assume the section has cracked and use the transformed-area method to compute the required parameters for the beam shown. Solve for: 1.) The value of k from locating the neutral axis using Qtop=Qbot is 2.) The value of j 3.) The compressive stress on concrete in psi 4.) the tensile stress on the tension bars in psi

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Assume the section has cracked and use the transformed-area method to compute the required parameters for the beam shown.

Solve for:

1.) The value of k from locating the neutral axis using Qtop=Qbot is

2.) The value of j

3.) The compressive stress on concrete in psi

4.) the tensile stress on the tension bars in psi

 

TABLE 1.1 Reinforcement Bar Sizes and Areas
Standard Inch-Pound Bars
Soft Metric Bars
Bar No.
Diameter (in.)
3
0.375
4
0.500
0.625
0.750
0.875
1.000
1.128
1.270
1.410
1.693
2.257
56
7
8
9
10
11
14
18
Bar No.
10
13
16
19
22
25
29
32
36
43
57
Diameter (mm)
9.5
12.7
15.9
19.1
22.2
25.4
28.7
32.3
35.8
43.0
57.3
Transcribed Image Text:TABLE 1.1 Reinforcement Bar Sizes and Areas Standard Inch-Pound Bars Soft Metric Bars Bar No. Diameter (in.) 3 0.375 4 0.500 0.625 0.750 0.875 1.000 1.128 1.270 1.410 1.693 2.257 56 7 8 9 10 11 14 18 Bar No. 10 13 16 19 22 25 29 32 36 43 57 Diameter (mm) 9.5 12.7 15.9 19.1 22.2 25.4 28.7 32.3 35.8 43.0 57.3
1.5 k/ft (including beam weight)
-24 ft
4 #8
-12 in.
17 in.
20 in.
2 in.
K
n = 10
Transcribed Image Text:1.5 k/ft (including beam weight) -24 ft 4 #8 -12 in. 17 in. 20 in. 2 in. K n = 10
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