Shear Strength of Flat Joint considering Influencing Area of Bolts
Table 3
Comparison of test results with theoretical calculation results.
Normal stress (MPa)
Shear strength (MPa)
τtest
m = 10
m = 20
m = 30
m = 40
m = 50#
m = 52
m = 56.42
τcal
E (％)
τcal
E (％)
τcal
E (％)
τcal
E (％)
τcal
E (％)
τcal
E (％)
τcal
E (％)
(a) Joint-1-45°
0.45
1.16
4.06
250.0
1.66
43.1
1.22
5.2
1.06
8.6
0.99
14.7
0.98
15.5
0.96
17.2
0.89
1.44
4.60
219.4
2.20
52.8
1.76
22.2
1.60
11.1
1.53
6.3
1.52
5.6
1.50
4.2
1.33
1.98
5.14
159.6
2.74
38.4
2.30
16.2
2.14
8.1
2.07
4.5
2.06
4.0
2.05
3.5
1.78
2.69
5.70
111.9
3.30
22.7
2.85
6.0
2.70
0.4
2.63
2.2
2.62
2.6
2.60
3.3
2.22
2.32
6.24
169.0
3.84
65.5
3.40
46.6
3.24
40.0
3.17
36.6
3.16
36.2
3.14
35.3
Eave (％)
182.0
44.5
19.2
13.6
12.9
12.8
12.7
(b) Joint-2-45°
0.45
1.20
4.44
270.0
1.82
51.7
1.51
25.8
1.34
11.7
1.26
5.0
1.23
2.5
1.17
2.5
0.89
1.58
5.07
220.9
2.45
55.1
2.13
34.8
1.96
24.1
1.89
19.6
1.86
17.7
1.79
13.3
1.33
2.24
5.69
154.0
3.07
37.1
2.76
23.2
2.59
15.6
2.52
12.5
2.49
11.2
2.42
8.0
1.78
3.11
6.33
103.5
3.72
19.6
3.40
9.3
3.23
3.9
3.16
1.6
3.13
0.6
3.06
1.6
2.22
4.42
6.96
57.5
4.34
1.8
4.03
8.8
3.86
12.7
3.78
14.5
3.75
15.2
3.69
16.5
Eave (％)
161.2
33.1
20.4
13.6
10.6
9.4
8.4
(c) Joint-3-45°
0.45
1.91
4.64
142.9
2.62
37.2
1.91
0
1.58
17.3
1.46
23.6
1.40
26.7
1.34
29.8
0.89
2.83
5.32
88.0
3.29
16.3
2.59
8.5
2.26
20.1
2.14
24.4
2.08
26.5
2.02
28.6
1.33
2.72
6.00
120.6
3.97
46.0
3.26
19.9
2.93
7.7
2.81
3.3
2.75
1.1
2.69
1.1
1.78
3.30
6.69
102.7
4.66
41.2
3.95
19.7
3.62
9.7
3.51
6.4
3.45
4.5
3.38
2.4
2.22
3.74
7.36
96.8
5.34
42.8
4.63
23.8
4.30
15.0
4.18
11.8
4.12
10.2
4.06
8.6
Eave (％)
110.2
36.7
14.4
14.0
13.9
13.8
14.1
(d) Joint-1-90°
0.45
0.65
2.35
261.5
1.18
81.5
0.96
47.7
0.89
36.9
0.85
30.8
0.85
30.8
0.84
29.2
0.89
0.93
2.82
203.2
1.65
77.4
1.43
53.8
1.36
46.2
1.32
41.9
1.32
41.9
1.31
40.9
1.33
1.49
3.29
120.8
2.12
42.3
1.90
27.5
1.83
22.8
1.79
20.1
1.79
20.1
1.78
19.5
1.78
2.51
3.77
50.2
2.60
3.6
2.38
5.2
2.31
8.0
2.27
9.6
2.27
9.6
2.26
10.0
2.22
3.07
4.24
38.1
3.07
0
2.86
6.8
2.78
9.4
2.74
10.7
2.74
10.7
2.73
11.1
Eave (％)
134.8
41.0
28.2
24.7
22.6
22.6
22.1
(e) Joint-2-90°
0.45
0.99
2.68
170.7
1.31
32.3
1.15
16.2
1.06
7.1
1.02
3.0
1.01
2.0
0.98
1.0
0.89
1.39
3.22
131.7
1.86
33.8
1.69
21.6
1.60
15.1
1.57
12.9
1.55
11.5
1.52
9.4
1.33
2.79
3.76
34.8
2.40
14.0
2.24
19.7
2.15
22.9
2.11
24.4
2.09
25.1
2.06
26.2
1.78
2.79
4.32
54.8
2.95
5.7
2.79
0
2.70
3.2
2.66
4.7
2.65
5.0
2.61
6.5
2.22
3.12
4.86
55.8
3.50
12.2
3.33
6.7
3.24
3.8
3.21
2.9
3.19
2.2
3.16
1.3
Eave (％)
89.6
19.6
12.8
10.4
9.6
9.2
8.9
(f) Joint-3-90°
0.45
1.13
3.44
204.4
2.10
85.8
1.63
44.2
1.41
24.8
1.33
17.7
1.29
14.2
1.25
10.6
0.89
1.96
4.14
111.2
2.80
42.9
2.33
18.9
2.11
7.7
2.04
4.1
2.00
2.0
1.95
0.5
1.33
2.83
4.85
71.4
3.50
23.7
3.03
7.1
2.82
0.4
2.74
3.2
2.70
4.6
2.66
6.0
1.78
3.41
5.57
63.3
4.22
23.8
3.75
10.0
3.53
3.5
3.46
1.5
3.42
0.3
3.38
0.9
2.22
2.98
6.27
110.4
4.93
65.4
4.45
49.3
4.24
42.3
4.16
39.6
4.12
38.3
4.08
36.9
Eave (％)
112.1
48.3
25.9
15.7
13.2
11.9
11.0
Note: m with “” indicates the equivalent shear area covering the whole joint; m with “” indicates the equivalent shear area covering the inscribed circle area of joint.
