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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
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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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")

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: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
35 cm 125 cm e = 30° 0 = 5° e = 35° e = 30°
Transcribed Image Text:35 cm 125 cm e = 30° 0 = 5° e = 35° e = 30°
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