Two circular plates with (2d) and (d) as outer and inner diameters respectively, are clamped together by means of a bolt as shown in figure. The bolt is made of plain carbon steel (Sy= 380 MPa and E = 207 GPa), while the plates are made of aluminium (E = 71 GPa) The initial pre-load in the bolt is 3 kN and the external force acting on the bolted joint is 7.5 kN. Determine the size of the bolt from the given table, if the factor of safety is 2.5 and assume coarse threads required.
Two circular plates with (2d) and (d) as outer and inner diameters respectively, are clamped together by means of a bolt as shown in figure. The bolt is made of plain carbon steel (Sy= 380 MPa and E = 207 GPa), while the plates are made of aluminium (E = 71 GPa) The initial pre-load in the bolt is 3 kN and the external force acting on the bolted joint is 7.5 kN. Determine the size of the bolt from the given table, if the factor of safety is 2.5 and assume coarse threads required.
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
Two circular plates with (2d) and (d) as outer and inner diameters respectively, are clamped together by means of a bolt as shown in figure. The bolt is made of plain carbon steel (Sy= 380 MPa and E = 207 GPa), while the plates are made of aluminium (E = 71 GPa) The initial pre-load in the bolt is 3 kN and the external force acting on the bolted joint is 7.5 kN. Determine the size of the bolt from the given table, if the factor of safety is 2.5 and assume coarse threads required.

Transcribed Image Text:Two circular plates with (2d) and (d) as outer and inner diameters respectively, are clamped together by means of a bolt as shown in figure. The bolt is
made of plain carbon steel (Sy= 380 MPa and E = 207 GPa), while the plates are made of aluminium (E = 71 GPa) The initial pre-load in the bolt is 3 kN
and the external force acting on the bolted joint is 7.5 kN. Determine the size of the bolt from the given table, if the factor of safety is 2.5 and assume
coarse threads required.
-2d
25
25
Principal Dimensions of ISO Metric Standard Screw Threads
Coarse Threads
Fine Threads
Tensile
Major
Diameter
Pitch
Minor
Pitch
Minor
Tensile
Stress Area
A, (mm²)
Stress Area
A, (mm²)
Diameter
Diameter
d (mm)
mm
d, (mm)
mm
d, (mm)
3.0
0.50
2.39
5.03
3.5
0.60
2.76
6.78
4.0
0.70
3.14
8.78
5.0
0.80
4.02
14.18

Transcribed Image Text:22.0
2.50
18.93
303.40
1.50
20.16
333.06
24.0
3.00
20.32
352.50
2.00
21.55
384.42
27.0
3.00
23.32
459.41
2.00
24.55
495.74
30.0
3.50
25.71
560.59
2.00
27.55
621.20
33.0
3.50
28.71
693.55
2.00
30.55
760.80
36.0
4.00
31.09
816.72
3.00
32.32
864.94
39.0
4.00
34.09
975.75
3.00
35.32
1028.39
1) Maximum Allowable Tensile Stress Sigma_b =
MPa
2) Combined Stiffness C (rounded to three decimal places) =
3) Bolt Load Pb (rounded to two decimal places) =
N
4) Tensile load F, in the bolt (rounded to two decimal places) =
IN
5) Tensile Stress Area of the Bolt At (rounded to two decimal places)=
mm2
6) Selected Bolt Size =
OM10
OM6
OM7
OM8
OM12
OM14
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