Prob. No. 4-11 PD PL Length Section (kips) (kips) (ft) 175 26 W12 150 Steel A36 End Connection Two lines of 7/8-in Ø bolts (2 in a line 4 in on center) each flange Answer W12 X 58 LRFD W12 x 65 ASD
Prob. No. 4-11 PD PL Length Section (kips) (kips) (ft) 175 26 W12 150 Steel A36 End Connection Two lines of 7/8-in Ø bolts (2 in a line 4 in on center) each flange Answer W12 X 58 LRFD W12 x 65 ASD
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Select the lightest section for each of the situations described in the table. Assume that bolts are 3in on center. Do not consider block shear. Determine U from Table 3.2.
![TABLE 3.2 Shear Lag Factors for Connections to Tension Members
Case
Description of Element
Shear Lag Factor, U
1
U = 1.0
2
All tension members where the tension
load is transmitted directly to each of the
cross-sectional elements by fasteners or
welds (except as in Cases 4,5 and 6).
All tension members, except plates and
HSS, where the tension load is transmitted
to some but not all of the cross-sectional
elements by fasteners or longitudinal
welds or by longitudinal welds in
combination with transverse welds.
(Alternatively, for W, M, S and HP, Case 7
may be used. For angles, Case 8 may be
used.)
U=1-x/l
U = 1.0
and
All tension members where the tension
load is transmitted only by transverse
welds to some but not all of the
cross-sectional elements.
A, area of the directly
connected elements
Plates where the tension load is
transmitted by longitudinal welds only.
Iz2w... U-1.0
2w>11.5w... U-0.87
1.5w >1zw...U-0.75
Round HSS with a single concentric
gusset plate
11.3D... U-1.0
D=1<1.3D... U-17
x = D/T
Rectangular HSS
with a single con-
12 H... U=1-X/1
centric gusset plate
B²+2BH
4(B+ H)
with two side gusset
plates
l=H… U-1-x
4(B + H)
W, M, S or HP
Shapes or Tees cut
from these shapes.
(If U is calculated
per Case 2, the
larger value is per-
mitted to be used.)
with flange con-
nected with 3 or
more fasteners per
line in the direction
of loading
by2/3d... U=0.90
by <2/3d... U=0.85
U= 0.70
with web connected
with 4 or more fas-
teners per line in the
direction of loading
with 4 or more fas-
teners per line in the
direction of loading
U=0.80
Single and double
angles (If U is
calculated per
Case 2, the larger
value is permitted to
be used.)
with 3 fasteners
per line in the
direction of loading
(With fewer than 3
fasteners per line in
the direction of
loading, use Case 2.)
U=0.60
/-length of connection, in. (mm); w plate width, in. (mm);
eccentricity of connection, in. (mm); B = overall
width of rectangular HSS member, measured 90° to the plane of the connection, in. (mm); Hoverall height of
rectangular HSS member, measured in the plane of the connection, in. (mm)
Source: AISC Specification, Table D3.1, p. 16.1-28, June 22, 2010. Copyright © American Institute
of Steel Construction. Reprinted with permission. All rights reserved.
3
4
5
7
8
Example
Ө
H
H
T
D
'я](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc108ade-0434-4624-9668-bd01c782c610%2F60f8330f-4dda-4723-9dc1-4e7242725bd6%2Fgq27ie9_processed.png&w=3840&q=75)
Transcribed Image Text:TABLE 3.2 Shear Lag Factors for Connections to Tension Members
Case
Description of Element
Shear Lag Factor, U
1
U = 1.0
2
All tension members where the tension
load is transmitted directly to each of the
cross-sectional elements by fasteners or
welds (except as in Cases 4,5 and 6).
All tension members, except plates and
HSS, where the tension load is transmitted
to some but not all of the cross-sectional
elements by fasteners or longitudinal
welds or by longitudinal welds in
combination with transverse welds.
(Alternatively, for W, M, S and HP, Case 7
may be used. For angles, Case 8 may be
used.)
U=1-x/l
U = 1.0
and
All tension members where the tension
load is transmitted only by transverse
welds to some but not all of the
cross-sectional elements.
A, area of the directly
connected elements
Plates where the tension load is
transmitted by longitudinal welds only.
Iz2w... U-1.0
2w>11.5w... U-0.87
1.5w >1zw...U-0.75
Round HSS with a single concentric
gusset plate
11.3D... U-1.0
D=1<1.3D... U-17
x = D/T
Rectangular HSS
with a single con-
12 H... U=1-X/1
centric gusset plate
B²+2BH
4(B+ H)
with two side gusset
plates
l=H… U-1-x
4(B + H)
W, M, S or HP
Shapes or Tees cut
from these shapes.
(If U is calculated
per Case 2, the
larger value is per-
mitted to be used.)
with flange con-
nected with 3 or
more fasteners per
line in the direction
of loading
by2/3d... U=0.90
by <2/3d... U=0.85
U= 0.70
with web connected
with 4 or more fas-
teners per line in the
direction of loading
with 4 or more fas-
teners per line in the
direction of loading
U=0.80
Single and double
angles (If U is
calculated per
Case 2, the larger
value is permitted to
be used.)
with 3 fasteners
per line in the
direction of loading
(With fewer than 3
fasteners per line in
the direction of
loading, use Case 2.)
U=0.60
/-length of connection, in. (mm); w plate width, in. (mm);
eccentricity of connection, in. (mm); B = overall
width of rectangular HSS member, measured 90° to the plane of the connection, in. (mm); Hoverall height of
rectangular HSS member, measured in the plane of the connection, in. (mm)
Source: AISC Specification, Table D3.1, p. 16.1-28, June 22, 2010. Copyright © American Institute
of Steel Construction. Reprinted with permission. All rights reserved.
3
4
5
7
8
Example
Ө
H
H
T
D
'я
![Prob.
No.
4-11
PD
PL
Length
Section (kips) (kips) (ft)
175
26
W12
150
Steel
A36
End Connection
Two lines of 7/8-in Ø bolts (2 in
a line 4 in on center) each flange
Answer
W12 X 58 LRFD
W12 x 65 ASD](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc108ade-0434-4624-9668-bd01c782c610%2F60f8330f-4dda-4723-9dc1-4e7242725bd6%2Fpy1lm1l_processed.png&w=3840&q=75)
Transcribed Image Text:Prob.
No.
4-11
PD
PL
Length
Section (kips) (kips) (ft)
175
26
W12
150
Steel
A36
End Connection
Two lines of 7/8-in Ø bolts (2 in
a line 4 in on center) each flange
Answer
W12 X 58 LRFD
W12 x 65 ASD
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