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Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate
Design a moment connection using a bolted
flange-plate
Connect a W18x50 beam to the flange of a
W14x99 column
Use 50 ksi wide-flanges and 36 ksi plates
-
1
45.0 kips 250 ft-kipsu uR M= =
Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate
Connection geometry
2
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Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate
Shapes
W18x50
W14x99
318.0 in. 7.50 in. 101 in.
0.355 in. 0.570 in.
f x
w f
d b Z
t t
= = =
= =
3
. n. . n. . n.
0.485 in. 0.780 in. 10 in.
f des
w ft t T
= = =
= = =
Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate
Proportion of members hole reductions
Where (A992, A36)
then
u fn t y fgF A Y F A
Bolt Limit StateWhen the clear end distance or the clear bolt spacing isgreater than or equal to 2 bolt diameters, bearing strength
will control
When the clear end distance or the clear bolt spacing is lessthan 2 bolt diameters, tear out strength will control
Generally, bolt spacing and end distances are standardized.
8
A standard bolt spacing of 3 inches is common. Thus,for all bolts of 7/8 inch diameter or less, only the end
bolt will need to be checked for tear out. Interior boltstrength will be controlled by bearing.
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Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate
Plate shear yielding
( )( )
5(0.6)(36)(9) 60.9 kips16
1.0 60.8 60.8 kips 45.0 kips ok
n
n
R
R
= =
= = >
9
Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate
Plate shear rupture
Block shear of plate
shear rupture/tension rupture
( )
7 51(0.6)(58) 9 3 65.3 kips8 8 16
0.75 65.3 49.0 kips 45.0 kips ok
n
n
R
R
= + =
= = >
10
54.3 kips 45.0 kips
ok
nR = >
7.5 in.
1.5 in.
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Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate
Try PL 3/4x7 in.
Check bearing on beam flange, which is more
critical than plate, for one bolt
For 8 bolts
( )( )72.4 (2.4)(65) 0.570 77.8 kips8n uR F dt= = =
13
( )
. ps
0.75 622 467 kips 167.0 kips ok
n
nR
= =
= = >
Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate
Check tension yielding of flange plate
Check tension rupture of flange plate
( )
(36)(7)(3/ 4) 189 kips
0.9 189 170 kips 167 kips ok
n
n
R
R
= =
= = >
7 31
14
( )8 8 4
0.75 218 164 kips 167 kips no good
n
nR = = <
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Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate
Consider a 7.25 in. flange plate
( )( )( )
7 31(58) 7.25 2 228 kips8 8 4
0.75 228 171 kips 167 kips ok
n
n
R
R
= + =
= = >
15
Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate
Check block shear of flange plate
consider two possible failure patterns
4.0 in. 7.25 in.4.0 in.
A B
16
Based on the tension area, failure pattern B will be critical
for the plate. Pattern B in the beam flange is critical for this
case and will be checked.
. n. . n.
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Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate
Determine shear yield and shear rupture
Determine tension rupture, bf= 7.5 in.
( ) ( ) ( )[ ]
( ) [ ]
0.6 0.6 50 10.5 0.570 2 359 kips
7 10.6 0.6(65) 10.5 3.5 0.570 2 311 kips8 8
y g
u nv
F A
F A
= =
= + =
17
Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate
Block shear for pattern B with shear rupture thecontrollin term
Determine weld size, top and bottom of plate
( )
( )
311 92.6 404 kips
0.75 404 303 kips 167 kips ok
n
n
R
R
= + =
= = >
167
18
use a 3/8 fillet weld which is greater then theminimum
min . s xteent s2(1.5)(1.392)(7.25)= =
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Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate
Check the compression flange plate
The plate will be checked as a column with a
length of 2.0 inches and K= 0.65
The length comes from the end distance of 1.5
inches and the spacing of the beam to the column
of 0.5 inches
19
The K-factor is the recommended value for a
fixed/fixed column
Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate
Compression flange plate
From J4.4
3
2 20.7512 0.2165 in.12 12
bh
I hr
A bh= = = = =
20
( )0.65 2.0 6.00 250.2165
KL
r= =
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Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate
Compression plate strength
( ) ( )
( )
36.0 ksi
36 (7.25) 0.75 196 kips
0.9 196 176 kips
cr y
n
n
F F
R
R
= =
= =
= =
21
Since the plate strength is greater than the
required 167 kips, the compression plate willbe the same as the tension plate.
Moment ConnectionMoment Connection Bolted Flange PlateBolted Flange Plate
Summary
top and bottom plates
8 -7/8 in. A325-N bolts each flange on a 4 inch
gage
3/8 in. fillet welds to su ortin column flan e
PL x 7 x 1'-0 "4 4 2
22
Check column for stiffening requirements
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Bolted Flange PlateBolted Flange Plate Column Side Limit StatesColumn Side Limit States
ens on ange oca en ng
( )26.250.90 (LRFD) 1.67 (ASD)
n f yR t F=
= =
23
( )
( . )( . ) ( ) ps
0.9 190 171 kips 167 kips ok
n
nR
= =
= = >
Bolted Flange PlateBolted Flange Plate Column Side Limit StatesColumn Side Limit States
Tension web local yielding
Compression web local yielding
24
everything is the same as it was for tension
ok
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Bolted Flange PlateBolted Flange Plate Column Side Limit StatesColumn Side Limit States
Compression - web crippling
Compression buckling
1.5
2 0.485 29000(50)(0.780)(0.8)(0.485) 1 3 kips14.2 0.780 0.
1.50332
332 24
485
0.75( ) kips 167 kips ok 9
n
n
R
R
= + =
= = >
25
since this is a one sided connection there will not
be compression buckling failure.
Bolted Flange PlateBolted Flange Plate Column Side Limit StatesColumn Side Limit States
Panel Zone Shear
Without the knowledge of the lateral load on the
structure, this can not be checked; however, the
strength can be determined. Assuming the column
axial load is < 0.4Py
26
( )0.6 50 14.2 0.485 207 ps
0.9 207 186 kips
n
n
R
R= =
= =
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Welded flange plate connection
no reduction in beam moment strength
web shear plate design doesnt change
flange plate width to accommodate weld to
beam flange along edge of plate
no rupture of plate or beam flange
27
welds sized according to element thickness as
well as strength