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CHAPTER 8 -ECCENTRIC CONNECTIONS
8.2-1
Direct shear components:
Px3
5159kips, Py4
51512 kips
8.2-2
Eccentricity: ex33410 in., ey5. 5
22. 75 in.
∑x2y27. 382Pu6
255. 6 0. 173 3Pukips →
[8-1]
© 2018 Cengage Learning®. All Rights Reserved. May not be scanned, copied or duplicated,
or posted to a publicly accessible website, in whole or in part.
8.2-3
Direct shear component: pcy 40
58kips↓
Determine location of centroid with respect to lower left bolt:
8.2-4
Direct shear component: pcx 70
3"
1.42"
1.58"
70 k
∑x2y2110. 64. 5
50. 63 9. 83 kips ↑
8.2-5
Direct shear components:
pcx 20
∑x2y21881. 2
46. 8 4. 821 kips ↓
8.2-6
Determine location of centroid with respect to lower left bolt:
x
̄3161
61. 5 in., y
̄316193
66. 0 in.
∑x2y23444. 5
103. 5 14. 96 kips ↓
8.2-7
Determine location of centroid with respect to lower right bolt:
x
̄2216
61. 667 in., y
̄2418
62. 667 in.
∑x2y297. 211. 667
80. 67 2. 009 kips ↓
∑x2y297. 211. 667
80. 67 2. 009 kips ↓
∑px11. 41 3. 214 14. 62 kips ←∑py8. 56 2. 009 10. 57 kips ↓
p∑px2∑py214. 62210. 57218. 04 kips (controls)
∑x2y265. 861. 667
80. 67 1. 361 kips ↓
∑px7. 733 2. 177 9. 91 kips ←∑py5. 800 1. 361 7. 161 kips ↓
8.2-8
LRFD solution
Determine location of centroid with respect to lower left bolt:
x
̄35. 5
̄23. 517210. 5
∑x2y2212. 45. 5 −2. 357
170. 9 3. 906 kips ↓
∑px2. 571 6. 214 8. 785 kips ←
For 0. 339Tb12. 13, Solution is: 35. 78 kips.
From AISC Table J3.1, Tb39 kips for a 7
8.2-9
Location of centroid with respect to lower row of bolts: y
̄3631
63. 5 in.
∑x2y2202. 53
79. 5 7. 642 kips ↓
∑px2. 5 8. 915 11. 42 kips →∑py7. 642 kips ↓
p∑px2∑py211. 4227. 642213. 74 kips
Assuming that the threads are in shear (N bolts),
∑x2y21353
79. 5 5. 094 kips ↓
∑px1. 667 5. 943 7. 610 kips →∑py5. 094 kips ↓
p∑px2∑py27. 61025. 09429. 158 kips
2. 4dtFu
2. 43/43/858
2. 00 19. 6 kips 20.8 kips
8.2-10
(a) Direct shear components: pcx 43
67. 167 kips ←
M438344 in.-kips
8.2-11
Use Table 7-8, Angle 30°. n5ands3in.
3" 3" 3"
30º
4"
e
x
3"
8.2-12
Use Table 7-13, Angle 30°. n3ands3in.
8.2-13
From the solution to problem 8.2-12, Use Table 7-13, Angle 30°, s3in.
ex442−3 tan 30 ° 8. 268 in.
23. 86 10. 90
8.3-1
Nominal bearing strength: h13
16 1. 188 in.
2. 4dtFu02. 41. 00. 5606587. 36 kips
∴use Rn70. 47 kips/bolt
Shear strength: Abd2/4 1. 02/4 0. 785 4 in. 2
Assume that threads are in the plane of shear.
0. 7854 32. 34 ksi
0. 755432. 3445. 13 ksi 90 ksi
RnFnt
′Ab0. 7545. 130. 785426. 6 kips/bolt 10.9 kips/bolt (OK)
Bolts are adequate
0. 7854 21. 65 ksi
Fnt
′1. 3Fnt −Fnt
Fnv
frv ≤Fnt
8.3-2
(a) LRFD solution
Pu1. 2D1. 6L1. 2241. 658121. 6 kips
Shear/bearing load per bolt 121. 6/8 15. 2 kips
Bearing strength: h7
0. 755423. 9163. 87 ksi 90 ksi
RnFnt
′Ab0. 7563. 870. 601328. 8 kips/bolt 15.2 kips/bolt (OK)
Bolts are adequate
2. 4dtFu
2. 47/80. 57565/2. 00 39. 24 kips 51.5 kips
∴use Rn
34. 33 kips/bolt 8.5 kips/bolt (OK)
Fnv
0. 6013 14. 14 ksi
1. 390−2. 0090
8.3-3
Nominal bearing strength: h7
2. 4dtFu2. 47/80. 6706591. 46 kips
2. 4dtFu2. 47/80. 6056582. 58 kips
∴use Rn82. 58 kips/bolt for these bolts
Shear strength: Abd2/4 7/82/4 0. 601 3 in. 2
Assume that threads are in the plane of shear.
0. 6013 24. 95 ksi
′1. 3Fnt −Fnt
0. 755424. 9561. 56 ksi 90 ksi
RnFnt
′Ab0. 7561. 560. 601327. 76 kips/bolt 25 kips/bolt (OK)
Bolts are adequate
0. 6013 16. 63 ksi
Fnt
′1. 3Fnt −Fnt
Fnv
frv ≤Fnt
8.3-4
(a) LRFD solution
Factored load Pu1. 2D1. 6L1. 2101. 62856. 8 kips
Shear/bearing load per bolt 56. 8/6 9. 467 kips
[8-15]
© 2018 Cengage Learning®. All Rights Reserved. May not be scanned, copied or duplicated,
or posted to a publicly accessible website, in whole or in part.
Rn1. 2ℓctFu0. 751. 22. 1880. 5606571. 7 kips
2. 4dtFu0. 752. 43/40. 5606549. 1 kips 71.7 kips
∴use Rn49. 1 kips/bolt 9.467 kips/bolt (OK)
Shear strength: Abd2/4 3/42/4 0. 441 8 in. 2
Assume that threads are in the plane of shear.
0. 755421. 4369. 38 ksi 90 ksi
RnFnt
′Ab0. 7569. 380. 4418
22. 99 kips/bolt 8.52 kips/bolt (OK)
Bolts are adequate
0. 4418 12. 9 ksi
Fnt
′1. 3Fnt −Fnt
Fnv
frv ≤Fnt
8.3-5
(a) LRFD solution:
Pu1. 2D1. 6L1. 20. 33 1101. 60. 67 110161. 5 kips
Vertical component of load 3
5161. 596. 90 kips
0. 755416. 1281. 18 ksi 90 ksi
RnFnt
′Ab0. 7581. 180. 6013
36. 6 kips/bolt 29.1 kips/bolt (OK)
Bolts are adequate
Fnv
0. 6013 10. 98 ksi
1. 390−2. 0090
8.3-6
Pu1. 2D1. 6L1. 2151. 64590. 0 kips
Vertical component of load 2
59080. 50 kips
Horizontal component of load 1
0. 755417. 0979. 02 ksi 90 ksi
′Ab0. 7579. 020. 7854
8.3-7
Nominal bearing strength: h3
41
16 13
16 in.
2. 4dtFu2. 43/45/165832. 63 kips
∴use Rn23. 79 kips/bolt
Shear strength: Abd2/4 3/42/4 0. 441 8 in. 2
Assume that threads are in the plane of shear.
0. 1Ru11. 07, Ru111 kips
Tension:
∑MNA 2rt36236rt
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