1) The cantilever bracket is bolted to a column with three M12 x 1.75ISO 5.8 bolts. The bracket is made from AISI 1020 hot-rolled steel.Holes for M12 X 1.75 bolts8 mm thickFind the factors of safety for the following failure modes: shear of36| 12 kNbolts, bearing of bolts, bearing of bracket, and bending of bracket.3264Solution:36200Columm | Table 8-11Metric Mechanical-Property Classes for Steel Bolts, Screws, and StudsMinimum Minimum MinimumSizeProofTensileYieldProperty Range, Strength, Strength, Strength,ClassInclusiveMPaMPaMPaMaterialHead Marking4.6MS-M36225400240Low or medium carbon4.64.8MI6-M16310420340Low or medium carbon485.8MS M24380520420Low or medium carbon588.8MI6-M36600830660Medium carbon, Q&T9.8ML6-MI6650900720Medium carbon, Q&T10.9MS-M368301040940Low-carbon martensite,Q&T10912.9ML6-M3697012201100Alloy, Q&T129Table A-20Deterninistic ASTM Minimum Tensile and Yield Strengths for Some Hot-Rolled (HR) and Cold-Drawn (CD) Steels(The strengths listed are estimated ASTM minimum values in the size range 18 to 32 mm to 1 in). Thesestrengths are suitable for use with the design factor detined in Sec. 1-10, provided the materials conform to ASTMA6 or AS68 requirements or are required in the purchase specifications. Remember that a numbering system is not a|specification.] Source: 1986 SAE Handbek, p. 2.15.234TensileYieldSAE and/or Process- Strength, Strength, Elongation in Reduction inMPa (kpsi) MPa (kpsi)BrinellHardnessUNS No. AISI No.ing2 in, %Area, %GI00601006HR300 (43)170 (24)305586CD330 (48)280 (41)204595GIO1001010HR320 (47)180 (26)285095CD370 (53)300 (44)2040105GIOI501015HR340 (50)190 (27.5)2850101CD390 (56)320 (47)184011GIO1801018HR400 (58)220 (32)255016CD440 (64)370 (54)1540126GI02001020HR380 (55)210 (30)255011CD470 (68)390 (57)1540131GI03001030HR470 (68)260 (37.5)2042137CD520 (76)440 (64)1235149GI03501035HRS00 (72)270 (39.5)1840143CD550 (80)460 (67)1235163GI04001040HR520 (76)290 (42)1840149CD590 (85)490 (71)1235170GI04501045HR570 (82)310 (45)1640163CD630 (91)530 (77)1235179GIOS001050HR620 (90)340 (49.5)1535179CD690 (100)S80 (84)1030197GI06001060HR680 (98)370 (54)1230201GIONDO1080HR770 (112)420 (61.5)1025229G109501095HR830 (120)460 (66)1025248

Given: M12×1.75 boltsP=12 kNthickness = 8 mm

1) The cantilever bracket is bolted to a column with three M12 x 1.75 ISO 5.8 bolts. The bracket is made from AISI 1020 hot-rolled steel. Holes for M12 × 1.75 bolts 8 mm thick Find the factors of safety for the following failure modes: shear of bolts, bearing of bolts, bearing of bracket, and bending of bracket. |12 kN 32 Solution: 36 200 - Columm

1) The cantilever bracket is bolted to a column with three M12 x 1.75 ISO 5.8 bolts. The bracket is made from AISI 1020 hot-rolled steel. Holes for M12 × 1.75 bolts 8 mm thick Find the factors of safety for the following failure modes: shear of bolts, bearing of bolts, bearing of bracket, and bending of bracket. |12 kN 32 Solution: 36 200 - Columm

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

1) The cantilever bracket is bolted to a column with three M12 x 1.75
ISO 5.8 bolts. The bracket is made from AISI 1020 hot-rolled steel.
Holes for M12 X 1.75 bolts
8 mm thick
Find the factors of safety for the following failure modes: shear of
36
| 12 kN
bolts, bearing of bolts, bearing of bracket, and bending of bracket.
32
64
Solution:
36
200
Columm

| Table 8-11
Metric Mechanical-Property Classes for Steel Bolts, Screws, and Studs
Minimum Minimum Minimum
Size
Proof
Tensile
Yield
Property Range, Strength, Strength, Strength,
Class
Inclusive
MPa
MPa
MPa
Material
Head Marking
4.6
MS-M36
225
400
240
Low or medium carbon
4.6
4.8
MI6-M16
310
420
340
Low or medium carbon
48
5.8
MS M24
380
520
420
Low or medium carbon
58
8.8
MI6-M36
600
830
660
Medium carbon, Q&T
9.8
ML6-MI6
650
900
720
Medium carbon, Q&T
10.9
MS-M36
830
1040
940
Low-carbon martensite,
Q&T
109
12.9
ML6-M36
970
1220
1100
Alloy, Q&T
129
Table A-20
Deterninistic ASTM Minimum Tensile and Yield Strengths for Some Hot-Rolled (HR) and Cold-Drawn (CD) Steels
(The strengths listed are estimated ASTM minimum values in the size range 18 to 32 mm to 1 in). These
strengths are suitable for use with the design factor detined in Sec. 1-10, provided the materials conform to ASTM
A6 or AS68 requirements or are required in the purchase specifications. Remember that a numbering system is not a
|specification.] Source: 1986 SAE Handbek, p. 2.15.
2
3
4
Tensile
Yield
SAE and/or Process- Strength, Strength, Elongation in Reduction in
MPa (kpsi) MPa (kpsi)
Brinell
Hardness
UNS No. AISI No.
ing
2 in, %
Area, %
GI0060
1006
HR
300 (43)
170 (24)
30
55
86
CD
330 (48)
280 (41)
20
45
95
GIO100
1010
HR
320 (47)
180 (26)
28
50
95
CD
370 (53)
300 (44)
20
40
105
GIOI50
1015
HR
340 (50)
190 (27.5)
28
50
101
CD
390 (56)
320 (47)
18
40
11
GIO180
1018
HR
400 (58)
220 (32)
25
50
16
CD
440 (64)
370 (54)
15
40
126
GI0200
1020
HR
380 (55)
210 (30)
25
50
11
CD
470 (68)
390 (57)
15
40
131
GI0300
1030
HR
470 (68)
260 (37.5)
20
42
137
CD
520 (76)
440 (64)
12
35
149
GI0350
1035
HR
S00 (72)
270 (39.5)
18
40
143
CD
550 (80)
460 (67)
12
35
163
GI0400
1040
HR
520 (76)
290 (42)
18
40
149
CD
590 (85)
490 (71)
12
35
170
GI0450
1045
HR
570 (82)
310 (45)
16
40
163
CD
630 (91)
530 (77)
12
35
179
GIOS00
1050
HR
620 (90)
340 (49.5)
15
35
179
CD
690 (100)
S80 (84)
10
30
197
GI0600
1060
HR
680 (98)
370 (54)
12
30
201
GIONDO
1080
HR
770 (112)
420 (61.5)
10
25
229
G10950
1095
HR
830 (120)
460 (66)
10
25
248

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