Determine the effective net area of the L7 × 4 × 1/2 shown in the figure. Assume the holes are for 1-in Ø bolts. Use the U values given in Table 3.2. (Ans. 3.97 in^2)

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Chapter2: Loads On Structures
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Determine the effective net area of the L7 × 4 × 1/2 shown in the figure. Assume the holes are for 1-in Ø bolts. Use the U values given in Table 3.2. (Ans. 3.97 in^2)
3 in
o o
L7X 4 x을 LIV
All 2 in
in
2.
Transcribed Image Text:3 in o o L7X 4 x을 LIV All 2 in in 2.
TABLE 3.2 Shear Lag Factors for Connections to Tension Members
Description of Element
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).
Case
Shear Lag Factor, U
Example
U = 1.0
2
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//
3
All tension members where the tension
load is transmitted only by transverse
welds to some but not all of the
cross-sectional elements.
U = 1.0
and
A, = area of the directly
connected elements
Plates where the tension load is
transmitted by longitudinal welds only.
4
12 2w... U- 1.0
2w >12 1.5w. ..U- 0.87 -
1.5w >Iz w...U- 0.75
Round HSS with a single concentric
gusset plate
12 1.3D...U - 1.0
Dsl<1.3D...U=1- l
I = D/n
Rectangular HSS
with a single con-
centric gusset plate
12H...U = 1 – /I
H
B + 2BH
4(В + H)
with two side gusset
plates
12H...U = 1-
4(В + Н)
with flange con-
nected with 3 or
W, M, S or HP
Shapes or Tees cut
from these shapes.
(If U is calculated
per Case 2, the
iarger value is per-
mitted to be used.) with 4 or more fas-
7
b;2 2/3d ... U = 0.90
b,< 2/3d... U = 0.85
more fasteners per
line in the direction
of loading
with web connected
U= 0.70
teners per line in the
direction of loading
Single and double
angles (If U is
calculated per
Case 2, the larger
value is permitted to
be used.)
with 4 or more fas-
teners per line in the
direction of loading
8
U = 0.80
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); x eccentricity of connection, in. (mm); B overall
width of rectangular HSS member, measured 90° to the plane of the connection, in. (mm); H - overall 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.
Transcribed Image Text:TABLE 3.2 Shear Lag Factors for Connections to Tension Members Description of Element 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). Case Shear Lag Factor, U Example U = 1.0 2 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// 3 All tension members where the tension load is transmitted only by transverse welds to some but not all of the cross-sectional elements. U = 1.0 and A, = area of the directly connected elements Plates where the tension load is transmitted by longitudinal welds only. 4 12 2w... U- 1.0 2w >12 1.5w. ..U- 0.87 - 1.5w >Iz w...U- 0.75 Round HSS with a single concentric gusset plate 12 1.3D...U - 1.0 Dsl<1.3D...U=1- l I = D/n Rectangular HSS with a single con- centric gusset plate 12H...U = 1 – /I H B + 2BH 4(В + H) with two side gusset plates 12H...U = 1- 4(В + Н) with flange con- nected with 3 or W, M, S or HP Shapes or Tees cut from these shapes. (If U is calculated per Case 2, the iarger value is per- mitted to be used.) with 4 or more fas- 7 b;2 2/3d ... U = 0.90 b,< 2/3d... U = 0.85 more fasteners per line in the direction of loading with web connected U= 0.70 teners per line in the direction of loading Single and double angles (If U is calculated per Case 2, the larger value is permitted to be used.) with 4 or more fas- teners per line in the direction of loading 8 U = 0.80 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); x eccentricity of connection, in. (mm); B overall width of rectangular HSS member, measured 90° to the plane of the connection, in. (mm); H - overall 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.
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