The following figure shows the critical position of a crane that supports 2.5 Tons of load by means of a chain. You are delegated the responsibility of building a crane with similar geometric characteristics and load capacity. The diagram of free body of the crane arm can be redrawn as follows. (check the attached image "fbd") Assuming that the crane arm will be made of steel with yield stress sigmaY =220 MPa and that you must consider a safety factor of F.S.=1.5, propose a profile from the following catalog for the manufacture of the crane arm. Ignore the effects of shear forces on this element. On the other hand, it is very important that you consider the effects of axial loads. Commercial profiles for arm construction. (Check image "profiles")
The following figure shows the critical position of a crane that supports 2.5 Tons of load by means of a chain. You are delegated the responsibility of building a crane with similar geometric characteristics and load capacity. The diagram of free body of the crane arm can be redrawn as follows. (check the attached image "fbd") Assuming that the crane arm will be made of steel with yield stress sigmaY =220 MPa and that you must consider a safety factor of F.S.=1.5, propose a profile from the following catalog for the manufacture of the crane arm. Ignore the effects of shear forces on this element. On the other hand, it is very important that you consider the effects of axial loads. Commercial profiles for arm construction. (Check image "profiles")
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
The following figure shows the critical position of a crane that supports 2.5 Tons of load by means of a chain. You are delegated the responsibility of building a crane with similar geometric characteristics and load capacity. The diagram of free body of the crane arm can be redrawn as follows.
(check the attached image "fbd")
Assuming that the crane arm will be made of steel with yield stress sigmaY =220 MPa and that you must consider a safety factor of F.S.=1.5, propose a profile from the following catalog for the manufacture of the crane arm. Ignore the effects of shear forces on this element. On the other hand, it is very important that you consider the effects of axial loads.
Commercial profiles for arm construction.
(Check image "profiles")
Transcribed Image Text:MÔDULO
DE SECCIÓN DE GIRO
RADIO
MEDIDA
DxB
MOMENTO
DE INERCIA
ESPESOR (t)
PESO
ÁREA
COLOR
pulg - mm
Pulg
mm
Kg/m ib/pie cm2
cm4
cm3
cm
I Azul
O Verde
Rojo
Azul
O Verde
I Azul
O Blanco
I Verde
I Rojo
Azul
O Blanco
O Verde
Rojo
0.075
0,095
0.133
1.33
1.62
2.1
1.71
2.2
1,905
2,413
3.378
1,910
2,300
1.905
2.794
3,175
3.912
1,905
2,794
3.175
3,962
4.775
6.350
3.175
3.581
4.775
6,350
3.175
3.962
4,775
6.350
3,175
3,962
4.775
6.350
14
13
10
14
13
14
0.89
1,09
1.41
1.7
2,07
2,68
2,18
2,62
2.66
3,74
4,18
4.96
3,63
5,16
5.79
7,02
7.74
9.68
1.52
1.75
2.04
1.19
1,38
1.6
0,95
0,92
0.87
1"x1"
25 x 25
0,075
1 1/4" x1 1/4"
32 x 32
1.15
1,48
1.40
1.98
2,20
2,61
1,92
2,72
3.05
3.70
4.32
5.41
3,90
4.35
3.17
3,62
5.71
7,56
8,21
9.24
14.28
19.43
21.37
24,88
26,64
30.8
1,99
2,34
3
3,97
4,31
4.85
0,090
0.075
0,110
0,125
0.154
0,075
0,110
0.125
0.156
0.188
0.250
1.2
1.18
1,46
1.42
1.4
1.37
1,98
1,94
1,92
1,88
1.85
1.78
2,44
2.42
2,36
2.09
2.94
3.27
1 1/2" x11/2"
12
11
9
14
38 x 38
3.89
2.85
4.05
4.54
5.5
6.43
8.05
5.8
6.47
8.34
10,58
7.07
5,62
7,65
8,41
9.8
10.49
12.13
13,88
15.23
2" x 2"
11
51 x 51
3/16"
1/4"
11
0,125
0.141
O Blanco
Verde
7,4
8.25
10.63
12.71
9.01
11.05
13.06
15.68
10,63
13.06
15.48
19.93
12,24
15.07
17.91
23.16
28.13
32.77
41.03
13.85
17,08
20.33
26,38
15,47
19.1
22.76
29,61
36.19
42,45
53.94
44,08
48.36
2 1/2" x 2 1/2"
Rojo
0.188
0.250
0.125
0.156
0,188
0.250
0,125
0.156
0.188
0.250
3/16"
1/4"
11
9
3/16"
1/4"
11
9
3/16"
1/4"
11
5.60
7.11
4.75
5.82
59.32
67,42
78,93
94.24
108.4
125.29
128,54
154,51
179.01
220.16
195,49
236.16
18.68
21,3
20.72
24.73
27,45
32.94
28,92
34.76
40,27
49.53
51 x 51
O Blanco
Verde
Rojo
2,31
2.96
2.92
3" x 3"
8,66
10.24
13.11
8.33
10.24
6,88
8.81
5.60
6,88
8.16
10.50
6,45
7.94
2,88
2.82
76 x 76
O Blanco
Verde
3,48
3,44
3.4
3.32
4
3.96
3 1/2" x3 1/2"
89 x 89
Rojo
Azul
O Blanco
O Verde
O Rojo
Azul
12.14
15,63
9.6
11.82
14.04
18.16
0,125
0.156
0,188
0,250
0.312
0.375
0,500
0.125
0,156
0.188
0.250
0,125
0.156
0,188
0,250
0.312
3.175
3.962
38,48
46.49
4,775
6.350
3/16"
1/4"
5/16"
3/8"
1/2"
11
9,43
12,20
14.83
17.27
21,63
7.30
9,00
10,71
13.90
8,15
10.07
11.99
15,60
19.08
275.07
341,94
398.8
445.4
512,0
282.4
342.44
400.48
501.9
391.86
476.61
559.16
54.15
67,31
78.5
87.7
100,5
49.41
59.92
70,07
87 82
61.71
75.06
8৪.06
111.06
131.4
149.3
177,0
3.92
3.84
3.76
3,68
4" x 4"
102 x 102
7.925
9,525
12,700
3.175
3,962
4.775
6,350
3,175
3.962
4.775
6,350
7,925
9,525
12 700
O Blanco
I Verde
Rojo
Azul
O Blanco
O Verde
O Rojo
Azul
22.07
25.70
32.19
10.86
13.4
15.94
3,53
4.51
4,48
4,44
4.36
5,03
9
3/16"
4 1/2" x 4 1/2"
114 x 114
1/4"
11
20.69
12.13
14.98
17.85
23,22
28.39
3/16"
1/4"
5/16"
3/8"
1/2"
4.96
4,88
4.80
6" x 6"
27 x 127
705,26
836.6
0,375
0,500
33,29
42.31
22,37
28 43
949,0
1,123.8
4,72
4,57
219
Transcribed Image Text:35 cm
125 cm
e = 30°
0 = 5°
e = 35°
e = 30°
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