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b) The base of a pillar crane, Figure Ql, is fastened to the foundation (a level plane) by twelve bolts spaced equally on a bolt circle diameter 2.0 m. The diameter of the pillar dase is 3 m. If the maximum load on a doit, 2 W.L (R + r) W, n (2R² + r?) Determine the size of bolts when the crane carries a load of 150 &N at a distance of Sm from the centre of the base. The allowable stress for the bolt material is 150 MPa. Table Ql show dimensions for metric coarse series bolts and muts: - Tilting edge Figure Q1

b) The base of a pillar crane, Figure Ql, is fastened to the foundation (a level plane) by twelve bolts spaced equally on a bolt circle diameter 2.0 m. The diameter of the pillar dase is 3 m. If the maximum load on a doit, 2 W.L (R + r) W, n (2R² + r?) Determine the size of bolts when the crane carries a load of 150 &N at a distance of Sm from the centre of the base. The allowable stress for the bolt material is 150 MPa. Table Ql show dimensions for metric coarse series bolts and muts: - Tilting edge Figure Q1

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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Depth of thread Designation Pitch Major Efecthve Minor or core Stress diameter or pitch diameter or area Question.01 nominal (d) mm (bolt) diameter Nut and Nut and Bolt Bolt t (4) mm Bolt Nut (d = D) (1) (2) (3) (4) (5) (6) (7) (8) Coarse series M0.4 0.1 0.400 0.335 0.277 0.292 0.061 0.074 M0.6 0.15 0.600 0.503 0.416 0.438 0.092 0.166 M0.8 0.2 0.800 0.670 0.333 0.584 0.123 0.295 M1 0.25 1.000 0.838 0.693 0.729 0.153 0.460 b) The base of a pillar crane, Figure Q1, is fastened to the foundation (a level plane) by twelve bolts spaced equally on a bolt circle diameter 2.0 m. The diameter of the pillar м12 0.25 1.200 1.038 0.893 0.929 0.158 0.732 M1.4 0.3 1.400 1.205 1.032 1.075 0.184 0.983 base is 3 m. M1.6 0.35 1.600 1.373 1.171 1.221 0.215 1.27 If the maximum load on a bolt, M1.8 0.35 1.800 1.573 1.371 1.421 0.215 1.70 M2 0.4 2.000 1.740 1.509 1.567 0.245 2.07 М 22 0.45 2.200 1.908 1.648 1.713 0.276 2.48 2 WL (R + r) M 2.5 0.45 2.500 2.208 1.948 2.013 0.276 3.39 W, = n (2R² + r*) %3D M3 0.5 3.000 2.675 2.387 2.459 0.307 5.03 М 35 0.6 3.500 3.110 2.764 2.850 0.368 6.78 M4 0.7 4.000 3.545 3.141 3.242 0.429 8.78 Determine the size of bolts when the crane carries a load of 150 EN at a distance of 4.013 M 4.5 0.75 4.500 3.580 3.688 0.460 11.3 8m from the centre of the base. The allowable stress for the bolt material is 150 MPa M 5 0.8 5.000 4.480 4.019 4.134 0.491 14.2 M6 1 6.000 5.350 4.773 4.918 0.613 20.1|| Table Q1 show dimensions for metric coarse series bolts and nuts: M7 1 7.000 6.350 5.773 5.918 0.613 28.9 M8 1.25 8.000 7.188 6.466 6.647 0.767 36.6 M 10 1.5 10.000 9.026 8.160 8.876 0.920 58.3 м 12 1.75 12.000 10.863 9.858 10.106 1.074 84.0 М14 2 14.000 12.701 11.546 11.835 1.227 115 м16 2 16.000 14.701 13.546 13.835 1.227 157 W M 18 2.5 18.000 16.376 14.933 15.294 1.534 192 М 20 м 22 М 24 2.5 20.000 18.376 16.933 17.294 1.534 245 2.5 22.000 20.376 18.933 19.294 1.534 303 3 24.000 22.051 20.320 20.752 1.840 353 M 27 3 27.000 25.051 23.320 23.752 1.840 459 - Tilting edge M 30 3.5 30.000 27.727 25.706 26.211 2.147 561 M 33 3.5 33.000 30.727 28.706 29.211 2.147 694 M 36 4 36.000 33.402 31.093 31.670 2.454 S17 M 39 39.000 36.402 34.093 34.670 2.454 976 Figure Q1 M 42 39.077 4.5 42.000 36.416 37.129 2.760 1104 M 45 4.5 45.000 42.077 39.416 40.129 2.760 1300 М48 5 48.000 44.752 41.795 42.587 3.067 1465 М 52 5 52.000 48.752 45.795 46.587 3.067 1755 Table Q1 Design dimensions of screw threads, bolts and nuts M 56 5.5 56.000 52.428 49.177 50.046 3.067 2022 м 60 5.5 60.000 56.428 53.177 54.046 3.374 2360
Transcribed Image Text:Depth of thread Designation Pitch Major Efecthve Minor or core Stress diameter or pitch diameter or area Question.01 nominal (d) mm (bolt) diameter Nut and Nut and Bolt Bolt t (4) mm Bolt Nut (d = D) (1) (2) (3) (4) (5) (6) (7) (8) Coarse series M0.4 0.1 0.400 0.335 0.277 0.292 0.061 0.074 M0.6 0.15 0.600 0.503 0.416 0.438 0.092 0.166 M0.8 0.2 0.800 0.670 0.333 0.584 0.123 0.295 M1 0.25 1.000 0.838 0.693 0.729 0.153 0.460 b) The base of a pillar crane, Figure Q1, is fastened to the foundation (a level plane) by twelve bolts spaced equally on a bolt circle diameter 2.0 m. The diameter of the pillar м12 0.25 1.200 1.038 0.893 0.929 0.158 0.732 M1.4 0.3 1.400 1.205 1.032 1.075 0.184 0.983 base is 3 m. M1.6 0.35 1.600 1.373 1.171 1.221 0.215 1.27 If the maximum load on a bolt, M1.8 0.35 1.800 1.573 1.371 1.421 0.215 1.70 M2 0.4 2.000 1.740 1.509 1.567 0.245 2.07 М 22 0.45 2.200 1.908 1.648 1.713 0.276 2.48 2 WL (R + r) M 2.5 0.45 2.500 2.208 1.948 2.013 0.276 3.39 W, = n (2R² + r*) %3D M3 0.5 3.000 2.675 2.387 2.459 0.307 5.03 М 35 0.6 3.500 3.110 2.764 2.850 0.368 6.78 M4 0.7 4.000 3.545 3.141 3.242 0.429 8.78 Determine the size of bolts when the crane carries a load of 150 EN at a distance of 4.013 M 4.5 0.75 4.500 3.580 3.688 0.460 11.3 8m from the centre of the base. The allowable stress for the bolt material is 150 MPa M 5 0.8 5.000 4.480 4.019 4.134 0.491 14.2 M6 1 6.000 5.350 4.773 4.918 0.613 20.1|| Table Q1 show dimensions for metric coarse series bolts and nuts: M7 1 7.000 6.350 5.773 5.918 0.613 28.9 M8 1.25 8.000 7.188 6.466 6.647 0.767 36.6 M 10 1.5 10.000 9.026 8.160 8.876 0.920 58.3 м 12 1.75 12.000 10.863 9.858 10.106 1.074 84.0 М14 2 14.000 12.701 11.546 11.835 1.227 115 м16 2 16.000 14.701 13.546 13.835 1.227 157 W M 18 2.5 18.000 16.376 14.933 15.294 1.534 192 М 20 м 22 М 24 2.5 20.000 18.376 16.933 17.294 1.534 245 2.5 22.000 20.376 18.933 19.294 1.534 303 3 24.000 22.051 20.320 20.752 1.840 353 M 27 3 27.000 25.051 23.320 23.752 1.840 459 - Tilting edge M 30 3.5 30.000 27.727 25.706 26.211 2.147 561 M 33 3.5 33.000 30.727 28.706 29.211 2.147 694 M 36 4 36.000 33.402 31.093 31.670 2.454 S17 M 39 39.000 36.402 34.093 34.670 2.454 976 Figure Q1 M 42 39.077 4.5 42.000 36.416 37.129 2.760 1104 M 45 4.5 45.000 42.077 39.416 40.129 2.760 1300 М48 5 48.000 44.752 41.795 42.587 3.067 1465 М 52 5 52.000 48.752 45.795 46.587 3.067 1755 Table Q1 Design dimensions of screw threads, bolts and nuts M 56 5.5 56.000 52.428 49.177 50.046 3.067 2022 м 60 5.5 60.000 56.428 53.177 54.046 3.374 2360
Example L05.06 Question We know that the distance of the load from the tilting edge A-A, The base of a pillar crane is fastened to the foundation (a level plane) by eight bolts spaced equally on a bolt circle diameter 1.6 m. The diameter of the pillar base is 2 m. L = 6-R= 5-1 = 4 m d. = Core diameter of the bolts. Let We know that maximum load on a bolt, 2 1WI (R + r) W, = 1 (2R² + r) Determine the size of bolts when the crane carries a load of 100 EN at a distance of 5 m from the centre of the base. The allowable stress for the bolt 2x 100 x 10 x 4 (1 + 0.8) S [2 ×1² + (0.8)²] 1440 x 10 material is 100 MPa. The table for metric coarse threads is given below: = 68.18 x 10 N 21.12 Major diameter (mm) 20 24 30 30 42 48 Pitch (mm) 2.5 3.0 3.5 4.0 4.5 5.0 We also know that maximum load on a bolt (W), Stress area (mm') 245 353 361 817 1120 1472 68.18 x 10 = (d o, = (a) 100 = 78.54 (d) Solution (d)? = 68.18 x 103/78.54 = 868 d. = 29.5 mm or Solution. Given : n = 8 ; d = 1.6 m or r = 0.S m ; D = 2m or R = 1m ; W = 100 kN = 100 x 10°N; e= 5 m; 6,= 100 MPa = 100 N/mm? From Table 5.1 (coarse series), we find that the standard core diameter of the bolt is 31.093 mm and the corresponding size of the bolt is M 36. The pillar crane is shown in Figure Q5 Tilting edge A Figure Q6
Transcribed Image Text:Example L05.06 Question We know that the distance of the load from the tilting edge A-A, The base of a pillar crane is fastened to the foundation (a level plane) by eight bolts spaced equally on a bolt circle diameter 1.6 m. The diameter of the pillar base is 2 m. L = 6-R= 5-1 = 4 m d. = Core diameter of the bolts. Let We know that maximum load on a bolt, 2 1WI (R + r) W, = 1 (2R² + r) Determine the size of bolts when the crane carries a load of 100 EN at a distance of 5 m from the centre of the base. The allowable stress for the bolt 2x 100 x 10 x 4 (1 + 0.8) S [2 ×1² + (0.8)²] 1440 x 10 material is 100 MPa. The table for metric coarse threads is given below: = 68.18 x 10 N 21.12 Major diameter (mm) 20 24 30 30 42 48 Pitch (mm) 2.5 3.0 3.5 4.0 4.5 5.0 We also know that maximum load on a bolt (W), Stress area (mm') 245 353 361 817 1120 1472 68.18 x 10 = (d o, = (a) 100 = 78.54 (d) Solution (d)? = 68.18 x 103/78.54 = 868 d. = 29.5 mm or Solution. Given : n = 8 ; d = 1.6 m or r = 0.S m ; D = 2m or R = 1m ; W = 100 kN = 100 x 10°N; e= 5 m; 6,= 100 MPa = 100 N/mm? From Table 5.1 (coarse series), we find that the standard core diameter of the bolt is 31.093 mm and the corresponding size of the bolt is M 36. The pillar crane is shown in Figure Q5 Tilting edge A Figure Q6
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