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Vessel Davit Design (Based On Pressure Vessel Design Manual by Dennis R Moss)

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VESSEL DAVIT DESIGN (BASED ON PRESSURE VESSEL DESIGN MANUAL BY DENNIS R

MOSS)

L2=1000

L1=2000

R=750
2000

M2

M1

Pipe Material : SA 106 GR. B


Minimum Yield Stress, Sy
=
Allowable Bending Stress, Fb =
Pipe = 6" Sch 120, OD
=
tp = thickness of pipe
=
di = ID of Pipe

r = Radius of Gyration
A = Cross sectional Area
a = Outside radius of pipe
L1
L2
L3
L4
R
B (Guide plate width)

=
=
=
=
=
=
=
=
=

241.32 MPa
144.79 MPa
168.3 mm
18.26
131.78
53.4
8607
84.2
2000
1000
1000
290
750
210

mm
mm
mm2
mm
mm
mm
mm
mm
mm
mm

I = Moment of Inertia of Pipe =


Z= Section modulous of Pipe =
WL= Maximum rated capacity =
W1=Weight of boom & brace =
WD = Total Weight of davit
=
Cv
=

24579160
292087
500
125
350

mm4
mm3
Kgs
Kgs
Kgs

1.8

Ch

0.5

fv = Cv WL

900 Kgs

fh = Ch WL

250 Kgs

Axial load on davit mast, P:


P =2fv + WD
=

2150 Kgs
21092 N

Bending Moment in davit mast, M1 (TYPE 1):


Type 1: M1 =2fvL1+0.5W1L1+fhL2 =
For Type B Davit:
Axial Stress:
fa = P/A

3975000 Kgf - mm
38994750 N-mm

2.45 MPa

Bending Moment, M2:


M2 = M1 (L2-R)/L2

9748688 N-mm

Coefficients:
= tp R/a2 =

1.93
0.22
0.84

= 6 / (5+6 ) =
K = 1 - 9 / (10+12) =

Bending Stress, fb :
Sy, Yield Stress for SA 106 Gr. B is 241.32 MPa.
Fb, Allowable bending Stress (0.6 x Sy) is 144.8 MPa.
At M1, fb = M1/Z

133.50 MPa
< Fb, Hence Safe

At M2, fb = (M2 a/I)*(2 / 3K Sqrt(3))

32.86 MPa
<Fb, Hence Safe

Combined Stress:
Slenderness Ratio = 2.1*L2/r =

39

Fa = Allowable Axial Stress =

132.86 MPa

(From Table C-36 of Manual of Steel Construction by AISC)


fa/Fa + fb/Fb =
0.94
<1.0, Hence Safe

FINDING EQUIVALENT RADIAL LOAD, Fre


Radial Force At Guide & Support, Fr

M1/L3
38994.8 N

=
Fr is max when davit rotation is at 0o
Circumferential moment at guide and support, M = Fr * L4
M is max when davit rotation is at 90o,
Longitudinal moment at guide, Mx=P*L4

11308478 N-mm
6116535 N-mm

Equivalent Unit load, w = (Fr*Cos/ B) + (6*Fr*L4*Sin / B2 )

N/mm

Equivalent Radial Load, Fre = w*B/2

o
0
20
40
50
60
65
70
75
80
90

w (N/mm)
185.7
700.7
1131.2
1298.0
1425.3
1472.9
1509.3
1534.2
1547.4
1538.6

Loads for Local Stress Analysis:


At Guide: Radial Load, Fre
At Support: Radial Load, Fre
Longitudinal Moment, Mx

=
=
=

Fre (N)
19497
73575
118778
136287
149655
154654
158476
161091
162481
161550

162481 N
162481 N
6116535 N-mm

Table C-36 (AISC)


kl/r
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46

Fa (ksi)
Fa (Mpa)
21.56
148.65
21.52
148.38
21.48
148.10
21.44
147.82
21.39
147.48
21.35
147.20
21.3
146.86
21.25
146.51
21.21
146.24
21.16
145.89
21.1
145.48
21.05
145.13
21
144.79
20.95
144.45
20.89
144.03
20.83
143.62
20.78
143.27
20.72
142.86
20.66
142.45
20.6
142.03
20.54
141.62
20.48
141.20
20.41
140.72
20.35
140.31
20.28
139.83
20.22
139.41
20.15
138.93
20.08
138.45
20.01
137.96
19.94
137.48
19.87
137.00
19.8
136.52
19.73
136.03
19.65
135.48
19.58
135.00
19.5
134.45
19.42
133.90
19.35
133.41
19.27
132.86
19.19
132.31
19.11
131.76
19.03
131.21
18.95
130.66
18.86
130.04
18.78
129.48
18.7
128.93

102
88.59767

47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96

18.61
18.53
18.44
18.35
18.26
18.17
18.08
17.99
17.9
17.81
17.71
17.62
17.53
17.43
17.33
17.24
17.14
17.04
16.94
16.84
16.74
16.64
16.53
16.43
16.33
16.22
16.12
16.01
15.9
15.79
15.69
15.58
15.47
15.36
15.24
15.13
15.02
14.9
14.79
14.67
14.56
14.44
14.32
14.2
14.09
13.97
13.84
13.72
13.6
13.48

128.31
127.76
127.14
126.52
125.90
125.28
124.66
124.04
123.42
122.80
122.11
121.49
120.87
120.18
119.49
118.87
118.18
117.49
116.80
116.11
115.42
114.73
113.97
113.28
112.59
111.83
111.14
110.39
109.63
108.87
108.18
107.42
106.66
105.90
105.08
104.32
103.56
102.73
101.97
101.15
100.39
99.56
98.73
97.91
97.15
96.32
95.42
94.60
93.77
92.94

97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146

13.35
13.23
13.1
12.98
12.85
12.72
12.59
12.47
12.33
12.2
12.07
11.94
11.81
11.67
11.54
11.4
11.26
11.13
10.99
10.85
10.71
10.57
10.43
10.28
10.14
9.99
9.85
9.7
9.55
9.41
9.26
9.11
8.97
8.84
8.7
8.57
8.44
8.32
8.19
8.07
7.96
7.84
7.73
7.62
7.51
7.41
7.3
7.2
7.1
7.01

92.05
91.22
90.32
89.49
88.60
87.70
86.81
85.98
85.01
84.12
83.22
82.32
81.43
80.46
79.57
78.60
77.63
76.74
75.77
74.81
73.84
72.88
71.91
70.88
69.91
68.88
67.91
66.88
65.84
64.88
63.85
62.81
61.85
60.95
59.98
59.09
58.19
57.36
56.47
55.64
54.88
54.05
53.30
52.54
51.78
51.09
50.33
49.64
48.95
48.33

147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196

6.91
6.82
6.73
6.64
6.55
6.46
6.38
6.3
6.22
6.14
6.06
5.98
5.91
5.83
5.76
5.69
5.62
5.55
5.49
5.42
5.35
5.29
5.23
5.17
5.11
5.05
4.99
4.93
4.88
4.82
4.77
4.71
4.66
4.61
4.56
4.51
4.46
4.41
4.36
4.32
4.27
4.23
4.18
4.14
4.09
4.05
4.01
3.97
3.93
3.89

47.64
47.02
46.40
45.78
45.16
44.54
43.99
43.44
42.89
42.33
41.78
41.23
40.75
40.20
39.71
39.23
38.75
38.27
37.85
37.37
36.89
36.47
36.06
35.65
35.23
34.82
34.40
33.99
33.65
33.23
32.89
32.47
32.13
31.78
31.44
31.10
30.75
30.41
30.06
29.79
29.44
29.16
28.82
28.54
28.20
27.92
27.65
27.37
27.10
26.82

197
198
199
200

3.85
3.81
3.77
3.73

26.54
26.27
25.99
25.72

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