Determine the capacity of the details shown below. A992: Fy=50ksi, Fu=65ksi A36: Fy=36ksi, Fu=58ksi effective bolt hole diameter = bolt hole + 1/16" beam properties: tw=0.38 in., bf=7.07 in., tf=0.63 in. Fexx=70ksi e) what is the shear rupture capacity of the shear plate of the shear connection in kips? (2 decimal places)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Determine the capacity of the details shown below.
A992: Fy=50ksi, Fu=65ksi
A36: Fy=36ksi, Fu=58ksi
effective bolt hole diameter = bolt hole + 1/16"
beam properties: tw=0.38 in., bf=7.07 in., tf=0.63 in.
Fexx=70ksi


e) what is the shear rupture capacity of the shear plate of the shear connection in kips? (2 decimal places)

 

 

 

 

4"
1.5"
(4)-3/4 0 A325
SSLT Bolts
5/16
5/16
PL1/2" - A36
Shear Plate
W16X50
A992 - Beam
„0.5"
3"
3@3"-9"
1.5"
2"
3 Sides)
5/16
5/16
====:
5.5"
2"
(8)-3/4"O A325 STD Bolts
PL1/2" - A36 - Flange Plate
Table 7-6
Coefficients C for Eccentrically Loaded Bolt Groups
Angle = 0°
where
Available strength of a bolt group,
OR, or R2 is determined with
P- required foroe, Ryor Pa kips
In = nominal strength per bolt, kips
e = eccentricity of Pwith respect
to centroid of bolt group, in.
(not tabulated, may be
determined by geometry)
G= horizontal component of e, in.
S = bolt spacing, in.
C = coetficient tabulated below
R= Cxn
or
LRFD
ASD
Cow
orn
In
Number of Bolts in One Vertical Row, n
S in. e, in.
2
3
4
5
6
7
8
9
10
11
12
1.18
3.32
2.81
2.36
2.01
1.73
4.39
3.90
3.40
2.96
2.59
7.51
2.23
1.75
1.40
6.48
6.06
5.56
8.52
8.17
7.72
9.53
9.21
8.78
8.30
7.79
10.5
10.2
9.84
11.5
5.45
4.98
4.47
7.12
11.3
0.88
0.69
6.64
10.9
0.56
0.48
1.15
0.97
3.98
3.55
5.05
4.57
6.13
5.63
7.22
6.70
9.38
8.87
10.4
9.96
1.51
1.34
1.21
0.41
0.83
2.28
3.17
4.13
5.15
6.20
7.28
8.36
9.44
0.36
0.32
0.29
0.24
0.73
0.65
0.59
0.49
2.04
1.83
1.66
1.40
2.85
2.59
2.36
2.00
3.75
3.42
3.14
2.68
5.73
5.31
4.92
4.27
6.78
6.32
5.89
5.15
8.93
8.42
7.94
7.06
4.72
4.34
7.85
7.36
6.90
6.09
10
12
1.09
0.92
4.00
3.44
3
14
16
0.21
0.18
0.16
0.15
0.42
0.37
0.33
0.29
1.21
1.06
0.95
0.85
1.74
1.53
1.37
1.24
2.33
2.06
1.84
3.01
2.67
2.39
2.16
3.75
3.33
3.00
2.72
4.55
4.06
3.66
3.33
5.41
4.85
4.38
3.99
0.79
0.70
6.31
5.68
5.15
4.70
18
20
0.62
0.56
1.67
TABLE J3.2
Nominal Strength of Fasteners and
Threaded Parts, ksi (MPa)
Nominal Shear Strength in
Nominal Tensile Strength, Bearing-Type Connections,
Fny ksi (MPa)
Description of Fasteners
Fnt ksi (MPa)ie
A307 bolts
45 (310)
27 (188) 비
Group A (e.g., A325) bolts,
when threads are not excluded
from shear planes
90 (620)
54 (372)
Group A (e.g., A325) bolts,
when threads are excluded
90 (620)
68 (457)
from shear planes
Group B (e.g., A490) bolts,
when threads are not excluded
113 (780)
68 (457)
from shear planes
Group B (e.g., A490) bolts,
when threads are excluded
from shear planes
113 (780)
84 (579)
TABLE J3.3
Nominal Hole Dimensions, in.
Hole Dimensions
Bolt
Long-Slot
(Width x Length) (Width x Length)
Standard
Oversize
Short-Slot
Diameter, in.
(Dia.)
(Dia.)
1/2
16
5/8
16 x /16
/16 x 14
5/8
11/16
13/6
11/16 x /a
1/16 x 1%16
3/4
13/6
15/6
13/16 x 1
13/16 x 17/s
7/8
15/6
116
15/16 x 1/e
15/16 x 2/16
1
1/16
14
1/16 x 1/16
1/16 x 2%
21%
d+ 16
d+5/16
(d+ Ve) x (d+ %) (d+'he) x (2.5 x d)
3@3"=9"
2345 97
Transcribed Image Text:4" 1.5" (4)-3/4 0 A325 SSLT Bolts 5/16 5/16 PL1/2" - A36 Shear Plate W16X50 A992 - Beam „0.5" 3" 3@3"-9" 1.5" 2" 3 Sides) 5/16 5/16 ====: 5.5" 2" (8)-3/4"O A325 STD Bolts PL1/2" - A36 - Flange Plate Table 7-6 Coefficients C for Eccentrically Loaded Bolt Groups Angle = 0° where Available strength of a bolt group, OR, or R2 is determined with P- required foroe, Ryor Pa kips In = nominal strength per bolt, kips e = eccentricity of Pwith respect to centroid of bolt group, in. (not tabulated, may be determined by geometry) G= horizontal component of e, in. S = bolt spacing, in. C = coetficient tabulated below R= Cxn or LRFD ASD Cow orn In Number of Bolts in One Vertical Row, n S in. e, in. 2 3 4 5 6 7 8 9 10 11 12 1.18 3.32 2.81 2.36 2.01 1.73 4.39 3.90 3.40 2.96 2.59 7.51 2.23 1.75 1.40 6.48 6.06 5.56 8.52 8.17 7.72 9.53 9.21 8.78 8.30 7.79 10.5 10.2 9.84 11.5 5.45 4.98 4.47 7.12 11.3 0.88 0.69 6.64 10.9 0.56 0.48 1.15 0.97 3.98 3.55 5.05 4.57 6.13 5.63 7.22 6.70 9.38 8.87 10.4 9.96 1.51 1.34 1.21 0.41 0.83 2.28 3.17 4.13 5.15 6.20 7.28 8.36 9.44 0.36 0.32 0.29 0.24 0.73 0.65 0.59 0.49 2.04 1.83 1.66 1.40 2.85 2.59 2.36 2.00 3.75 3.42 3.14 2.68 5.73 5.31 4.92 4.27 6.78 6.32 5.89 5.15 8.93 8.42 7.94 7.06 4.72 4.34 7.85 7.36 6.90 6.09 10 12 1.09 0.92 4.00 3.44 3 14 16 0.21 0.18 0.16 0.15 0.42 0.37 0.33 0.29 1.21 1.06 0.95 0.85 1.74 1.53 1.37 1.24 2.33 2.06 1.84 3.01 2.67 2.39 2.16 3.75 3.33 3.00 2.72 4.55 4.06 3.66 3.33 5.41 4.85 4.38 3.99 0.79 0.70 6.31 5.68 5.15 4.70 18 20 0.62 0.56 1.67 TABLE J3.2 Nominal Strength of Fasteners and Threaded Parts, ksi (MPa) Nominal Shear Strength in Nominal Tensile Strength, Bearing-Type Connections, Fny ksi (MPa) Description of Fasteners Fnt ksi (MPa)ie A307 bolts 45 (310) 27 (188) 비 Group A (e.g., A325) bolts, when threads are not excluded from shear planes 90 (620) 54 (372) Group A (e.g., A325) bolts, when threads are excluded 90 (620) 68 (457) from shear planes Group B (e.g., A490) bolts, when threads are not excluded 113 (780) 68 (457) from shear planes Group B (e.g., A490) bolts, when threads are excluded from shear planes 113 (780) 84 (579) TABLE J3.3 Nominal Hole Dimensions, in. Hole Dimensions Bolt Long-Slot (Width x Length) (Width x Length) Standard Oversize Short-Slot Diameter, in. (Dia.) (Dia.) 1/2 16 5/8 16 x /16 /16 x 14 5/8 11/16 13/6 11/16 x /a 1/16 x 1%16 3/4 13/6 15/6 13/16 x 1 13/16 x 17/s 7/8 15/6 116 15/16 x 1/e 15/16 x 2/16 1 1/16 14 1/16 x 1/16 1/16 x 2% 21% d+ 16 d+5/16 (d+ Ve) x (d+ %) (d+'he) x (2.5 x d) 3@3"=9" 2345 97
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