Determine the effective net area using the U values given on Table 3.2 page 77 of the reference book. An MC12x45 is connected through its web with 3 gages lines of 22mm diameter bolts. The gage lines are 76mm on center and the bolts are spaced 80mm on center along the gage line. If the center row of bolt is staggered with respect to the outer row, determine the effective net cross-sectional area of the channel. Assume there are four bolts in each line. Draw the figure first and label it properly. Draw the fracture path using different color or line weights.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Determine the effective net area using the U values given on Table 3.2 page
77 of the reference book. An MC12x45 is connected through its web with 3 gages
lines of 22mm diameter bolts. The gage lines are 76mm on center and the bolts are
spaced 80mm on center along the gage line. If the center row of bolt is staggered
with respect to the outer row, determine the effective net cross-sectional area of the
channel. Assume there are four bolts in each line.
Draw the figure first and label it properly. Draw the fracture path using different
color or line weights.

with flange con-
nected with 3 or
more fasteners per
line in the direction
of loading
with web connected
mitted to be used.) with 4 or more fas-
teners per line in the
| direction of loading
W, M, S or HP
Shapes or Tees cut
from these shapes.
(If U is calculated
per Case 2, the
larger value is per-
7.
b,2 2/3d ... U = 0.90
by< 2/3d ...U = 0.85
U= 0.70
8 Single and double
angles (If U is
calculated per
Case 2, the larger
with 4 or more fas-
U = 0.80
teners per line in the
direction of loading
with 3 fasteners
value is permitted to per line in the
direction of loading
(With fewer than 3
fasteners per line in
the direction of
loading, use Case 2.)
be used.)
U= 0.60
1= 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); H = overall height of
rectangular HSS member, measured in the plane of the connection, in. (mm)
Transcribed Image Text:with flange con- nected with 3 or more fasteners per line in the direction of loading with web connected mitted to be used.) with 4 or more fas- teners per line in the | direction of loading W, M, S or HP Shapes or Tees cut from these shapes. (If U is calculated per Case 2, the larger value is per- 7. b,2 2/3d ... U = 0.90 by< 2/3d ...U = 0.85 U= 0.70 8 Single and double angles (If U is calculated per Case 2, the larger with 4 or more fas- U = 0.80 teners per line in the direction of loading with 3 fasteners value is permitted to per line in the direction of loading (With fewer than 3 fasteners per line in the direction of loading, use Case 2.) be used.) U= 0.60 1= 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); H = overall height of rectangular HSS member, measured in the plane of the connection, in. (mm)
TABLE 3.2 Shear Lag Factors for Connections to Tension Members
Case
Description of Element
Shear Lag Factor, U
Example
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.
1
U = 1.0
2.
U = 1-X/1
(Alternatively, for w, M, S and HP, Case 7
may be used. For angles, Case 8 may be
used.)
U = 1.0
and
3
All tension members where the tension
load is transmitted only by transverse
welds to some but not all of the
cross-sectional elements.
Plates where the tension load is
transmitted by longitudinal welds only.
A, = area of the directly
connected elements
12 2w... U = 1.0
2w >121.5w...U = 0.87 2
4
1.5w>/2 w...U = 0.75
Round HSS with a single concentric
gusset plate
121.3D... U= 1.0
DsI<1.3D...U = 1- l
I = D/T
Rectangular HSS
with a single con-
centric gusset plate
6.
1ZH...U = 1 -
B + 2BH
4(В + Н)
with two side gusset
plates
12H... U =1-
B
4(B + H)
Transcribed Image Text:TABLE 3.2 Shear Lag Factors for Connections to Tension Members Case Description of Element Shear Lag Factor, U Example 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. 1 U = 1.0 2. U = 1-X/1 (Alternatively, for w, M, S and HP, Case 7 may be used. For angles, Case 8 may be used.) U = 1.0 and 3 All tension members where the tension load is transmitted only by transverse welds to some but not all of the cross-sectional elements. Plates where the tension load is transmitted by longitudinal welds only. A, = area of the directly connected elements 12 2w... U = 1.0 2w >121.5w...U = 0.87 2 4 1.5w>/2 w...U = 0.75 Round HSS with a single concentric gusset plate 121.3D... U= 1.0 DsI<1.3D...U = 1- l I = D/T Rectangular HSS with a single con- centric gusset plate 6. 1ZH...U = 1 - B + 2BH 4(В + Н) with two side gusset plates 12H... U =1- B 4(B + H)
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