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For the hole nearest the edge, ℓcℓ
e−h
21. 5 −0. 9375
21. 031 in.
Rn
1
1. 2ℓctFu1
2. 00 1. 21. 0313/858
Summary:
Use 6 bolts for tension member-to-gusset plate connection;
use 6 bolts for gusset-plate-to connection angles connection;
use 12 bolts for connection angles to column flange connection;
use edge distances of 1 1
2in. and bolt spacings of 2 1
2in. throughout.
7.9-5
Let angle that load makes with the horizontal arctan12. 5/1343. 88 °
Fnt
0. 7554frv ≤90
117 −2. 222frv ≤90
′0. 75117 −2. 222frv ≤0. 7590
214. 8
87. 75 −1. 667 206. 6
214. 8 87. 75Ab−344. 3, Solution is: Ab6. 372 in.2
For 12 bolts, required AbAb
12 6. 372
12 0. 531 in.2/bolt
d2
40. 531 , d0. 822 in.
For the holes nearest the edge, ℓcℓ
e−h
22. 5 −0. 9375
22. 031 in.
Rn1. 2ℓctFu0. 751. 22. 0311. 1165132 kips 17.2 kips (OK)
2. 4dtFu0. 752. 47/81. 1165114 kips/bolt 17.2 kips (OK)
Ta200 cos43. 88 °144. 2 kips, Va200 sin43. 88 °138. 6 kips
Assume that tension controls:
Fnt
′1. 390−2. 0090
54 frv ≤90
117 −3. 333frv ≤90
Fnt
′
144. 2
58. 5 −1. 667 138. 6
144. 2 58. 5Ab−231, Solution is: Ab6. 414 in.2
Required AbAb
12 6. 414
12 0. 534 5 in.2
Required diameter db4Ab
40. 5345
0. 824 9 in.
2. 4dtFu
2. 47/81. 1165
2. 00 75. 8 kips/bolt 11.6 kips (OK)
For the other holes, ℓcs−h4−0. 9375 3. 063 in. Since this is larger than ℓc
7.11-1
(a) Tension member gross section strength
PnFyAg502. 50125. 0 kips
tPn0. 90125112. 5 kips
Net section strength: U1−x
̄
1. 2D1. 62. 5D108. 6, Solution is: 20. 88
PDL20. 88 320. 8883. 52 kips P83. 5 kips
(b) ASD solution
Tension member gross section strength
PnFyAg502. 50125. 0 kips
Pn
125
Rn
5. 568
2. 00 2. 784 kips/in.
Base metal shear strength of the plate:
Yielding: Rn
0. 6Fyt
1. 50 0. 6363/8
1. 50 5. 4 kips/in 2.784 kips/in.
Rupture: Rn
7.11-2
(a) LRFD solution. Gross section: Ag5. 12 in.2
tPn0. 90FyAg0. 90365. 12165. 9 kips
̄
1. Use the basic weld strength for both the longitudinal and transverse welds.
Rn5. 56855583. 52 kips (for one angle)
2. Use 0.85 times the basic weld strength for the longitudinal welds and 1.5 times the
89. 09 2178. 2 kips
Check block shear on the gusset plate in lieu of base metal shear strength.
Agv Anv 3
0. 6FyAgv UbsFuAnt 0. 6363. 7501. 0581. 875189. 8 kips
1. 2D1. 63D142. 4, Solution is: 23. 73 kips
[7-46]
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PDL23. 73 323. 7394. 92 kips P94. 9 kips
(b) ASD solution
2. Use 0.85 times the basic weld strength for the longitudinal welds and 1.5 times the
59. 39 2118. 8 kips
Check block shear on the gusset plate in lieu of base metal shear strength. From the
7.11-3
1. 2D1. 62. 0D156. 0, Solution is: 35. 45
PDL35. 45 2. 035. 45106. 4 kips P106 kips
(b) ASD solution
7.11-4
(a) LRFD solution. Gross section: For the outer member,
Ag5/16321. 875 in.2
2. 0.85 times the basic weld strength for the longitudinal welds and 1.5 times the basic
weld strength for the transverse weld:
Rn0. 855. 568331. 55. 5683299. 39 kips
Use the larger value of 100.2 kips.
0. 6FyAgv UbsFuAnt 0. 6363. 01. 0581. 5151. 8 kips
1. 2D1. 6D60. 75, Solution is: 21. 70
PDL21. 7 21. 7 43. 4 kips P43. 4 kips
(b) ASD solution
1. Basic weld strength for both the longitudinal and transverse welds:
Rn
2. 0.85 times the basic weld strength for the longitudinal welds and 1.5 times the basic
weld strength for the transverse weld:
Rn
0. 853. 712331. 53. 7123271. 27 kips
7.11-5
From AISC Table J2.4, the minimum weld size is 3/16 inch (based on the angle
0. 6Fyt0. 6363
88. 1 kips/in.
0. 6Fyt0. 6505
16 218. 75 kips/in.
and the shear rupture strength is 0. 45Fut0. 45653
5. 568 28. 02 in.
0. 855. 5684. 733 kips/in.
and the strength of the transverse weld is
1. 55. 5688. 352 kips/in.
114. 2
24. 73312. 06 in.
The first option requires slightly shorter longitudinal welds. Try a 5-inch transverse
0. 6FyAgv UbsFuAnt 0. 63691. 0581. 875
303. 2 kips (controls)
0. 4Fyt0. 4363
0. 3Fut0. 3583
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