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Calculations for :
MILLER PAINT - ..
TIGARD, OR . .
02/24/2011
Loading: 1800 # load levels
2 pallet levels ® 66,88 ,
Seismic per IBC 2009 100% Utilization .
Sds = 0.700 Sdl = 0.387
I = 1.00 •
144 " Load Beams '
Uprights: 36 " wide
C 3.;OOOx 1.625x 0.075 Columns .
C 1.500x 1.500x 0.075 Braces • _ .
3.00x 4.00x 0.110 Base Plates
with 1- 0.500in x 3.25in Embed Anchor /Column,
'4.50x 2.750x 0.075 Load beams w/ 3 -Pin Connector. '
by : Ben Riehl
Registered Engineer OR# 11949
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1 7 5 5 7 . 7 7 - - E : 5 . 7 - T - 1
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Conterminous 48 States
2005 ASCE 7 Standard
Latitude = 45.4046
Longitude = - 122.7497 •
Spectral Response Accelerations Ss and S1
Ss and S1 = Mapped Spectral Acceleration Values
Site Class B - Fa = 1.0 ,Fv = 1.0
Data are based on a 0.05 deg grid spacing
Period Sa
(sec) (g)
0.2 0.936 (Ss, Site Class B)
•
1.0 0.336 (S1, Site Class B)
Conterminous 48 States
2005 ASCE 7 Standard
Latitude = 45.4046
Longitude = - 122.7497
Spectral Response Accelerations SMs and SM1
SMs = Fa x Ss and SM1 = Fv x S1
Site Class D - Fa = 1.126 ,Fv = 1.728
'Period Sa
(sec) (g)
0.2 1.053 (SMs, Site Class D)
1.0 0.581 (SM1, Site Class D)
-IBC 2009 LOADING
SEISMIC: Ss= 93 6 % g
S1= 336 %g
Soil Class • • D
Modified Design spectral response parameters
Sms= 105 3 % g Sds= 70.2 % g
Sm1= 58.1 %g Sd1= 38.7 %g
Seismic Use Group 2
Seismic Design Category D
or D
le = 1
R= 4 R= 6
Cs = 0.1755 W Cs = 0.1170 W
Using Working Stress Design
V = Cs *W/1.4 •
V = 0.1254 W V = 0.0836 W
Cold Formed Channel
Depth 3.000 in Fy = 55 ksi
' Flange 1.625 in
Lip 0.750 in
Thickness 0.0750 in COLUMN SECTION
R 0.1000 in
•
Blank = 7.21 in wt = 1.8 plf
A = 0.541 in2
Ix = 0.750 in4 Sx = 0.500 in3 Rx = 1.177 in
Iy = 0.217 in4 Sy = 0.223 in3 Ry = 0.633 in
a 2.6500 Web w/t 35.3333
a bar 2.9250 Flg w/t 17.0000
b 1.2750 x bar 0.6139
b bar 1.5500 m 0.9488
c 0.5750 x0 - 1.5627
c bar 0.7125 J 0.0010
u 0.2160 x web 0.6514
gamma 1.0000 x lip 0.9736
R' 0.1375 h/t 38.0000
Section Removing:
0.640 inch slot 0.75 inches each side of center on web
0.375 inch hole 0.87 inches from web in each_flange •
A- = 0.152 in2 A' = 0.389 in2
x bar = 0.728 in
I'x = 0.573 in4 Six= 0.382 in3 R'x= 1.213 in
I'y = ' 0.172 in4 S'y= 0.184 in3 R'y= 0.665 in
Cold Formed Channel
Depth 1.500 in Fy = 55 ksi
Flange 1.500 in
Lip 0.000 in
Thickness 0.0750 in BRACE SECTION
R 0.1000 in
•
Blank = 4.23 in wt = 1.1 plf •
A = 0.317 in2
Ix = 0.125 in4 Sx = 0.166 in3 Rx = 0.627 in •
Iy = 0.075 in4 Sy = 0.079 in3 Ry = 0.487 in
a 1.1500 Web w/t 15.3333
a bar 1.4250 Flg w/t 17.6667
b 1.3250 x bar 0.5060
b bar 1.4625 m 0.6531
c 0.0000 x0 - 1.1592
c bar 0.0000 J 0.0006
u 0.2160 x web 0.5435
gamma 0.0000 x lip 0.9565 •
R' 0.1375 h/t 18.0000
•
•
Cold Formed Section
HEIGHT OF BEAM 4.500 INCHES
MAT'L THICKNESS 0.075 INCHES
INSIDE RADIUS 0.100 INCHES LOAD BEAM
WIDTH 2.750 INCHES
STEEL YIELD 55.0 KSI
STEP 1.625 INCHES HIGH 1.000 INCHES WIDE
ABOUT THE HORIZONTAL AXIS ABOUT THE VERTIC
L Y LY LY2 Ii X LX
LONG SIDE 4.1500 2.2500 9.3375 21.0094 5.9561 0.0375 0.1556 •
TOP 1.4000 4.4625 6.2475 27.8795 0.0000 0.8750 1.2250
STEP SIDE 1.3500 3.6500 4.9275 1719854 0.2050 1.7125 2.3119
STEP BOTT 0.7250 2.8375 2.0572 5.8373 0.0000 2.2125 1.6041
SHORT SID 2.5250 1.4375 3.6297 5.2177 1.3415 2.7125 6.8491
BOTTOM 2.4000 0.0375 0.0900 0.0034 0.0000 1.3750 3.3000
CORNERS 0.2160 4.4125 0.9530 4.2053 0.0004 0.0875 0.0189
2 0.2160 4.4125 0.9530 4.2053 0.0004 1.6625 0.3591
3 0.2160 2.8875 0.6236 1.8008 0.0004 1.8000 0.3888
4 0.2160 2.7875 0.6021 1.6783 0.0004 2.6625 0.5751
5 0.2160 0.0875 _•0.0189 0.0017 0.0004 2.6625 0.5751
6 0.2160 0.0875 0.0189 0.0017 0.0004 0.0875 0.0189
TOTALS 13.8459 29.3500 29.4589 89.8255 7.5050 17.8875 17.3814
AREA = 1.038 IN2
CENTER GRAVITY = 2.128 INCHES TO BASE 1.255 INCHES TO LONG SIDE
Ix = 2.599 IN4 Iy = 1.174 IN4
Sx = 1.096 IN3 Sy = 0.786 IN3
Rx = 1.582 IN Ry = 1.063 IN
BEAM END CONNECTOR
COLUMN MATERIAL THICKNESS = 0.075 IN
LOAD BEAM DEPTH = 4.5 IN
TOP OF BEAM TO TOP OF CONN= 0.000 IN
WELD @ BTM OF BEAM = 0.000 IN
• LOAD = 1800 LBS PER PAIR
CONNECTOR VERTICAL LOAD = 450 LBS EACH
RIVETS
3 RIVETS @ 2 " oc 0.4375 " DIA A502 -2
1st @ •1 "BELOW TOP OF CONNECTOR
AREA = 0.150 IN2 EACH Fv = 22.0 KSI
Vcap = 3.307 KIPS EACH RIVET
BEARING Fb = 65.0 KSI
BRG CAP= 2.133 KIPS EACH RIVET
TOTAL RIVET VERTICAL CAPACITY = 6.398 KIPS 7%
CONNECTOR
6 " LONG CONNECTOR ANGLE Fy = 50 KSI
1•.625 " x 3 " x •0.1875 " THICK
S 0.131.IN3 Mcap = 3.924 K -IN
W/ 1/3 INCREASE = - 5.232 "K -IN
RIVET MOMENT RESULTANT• @,_ r1.25 IN FROM BTM CONN
M = PL L = 0:25 IN •
Pmax• -= Mcap /L = 20.926 KIPS
RIVET LOAD DIST MOMENT
P1 2.844 3.750 10.664 RIVET OK
P2 1.327 1.750 2.322
P3 0.000 0.000 0.000
P4 0.000 0.000 0.000
TOTAL 4.171 12.986 CONNECTOR OK
WELDS
0.125 " x 4.500 " FILLET WELD UP OUTSIDE
0.125 " x 2.875 " FILLET WELD UP INSIDE
0.125 x- 1.625 " FILLET WELD UP STEP SIDE_
0 " x - 1.000 " FILLET' STEP BOTTOM
0 x 2.750 " FILLET WELD ACROSS BOTTOM
0 " x .1.750 " .FILLET WELD ACROSS TOP
USE EFFECTIVE ' 0.075 " THICK WELD
L = 9.00 IN A = 0.675 IN2
S = 0.506 IN3 Fv = 26.0 KSI•'
Mcap = 13.16 K -IN W /1/3 INCR= 17.55 K -IN
Cold Formed Section
HEIGHT OF BEAM 3.690 INCHES 76
MAT'L THICKNESS 0.075 INCHES
INSIDE RADIUS 0.100 INCHES LOAD BEAM
WIDTH 2.750 INCHES
STEEL YIELD 55.0 KSI
STEP 1.625 INCHES HIGH 1.000 INCHES WIDE
ABOUT THE HORIZONTAL AXIS ABOUT THE VERTIC
L Y LY LY2 Ii X LX
LONG SIDE 3.3400 1.8450 6.1623 11.3694 3.1050 0.0375 0.1253
TOP 1.4000 3.6525 5.1135 18.6771 0.0000 0.8750 1.2250
STEP SIDE 1.3500 2.8400 3.8340 10.8886 0.2050 1.7125 2.3119
STEP BOTT 0.7250 2.0275 1.4699 2.9803 0.0000 2.2125. 1.6041
SHORT SID 1.7150 1.0325 1.7707 1.8283 0.4204 2.7125 4.6519 -
BOTTOM 2.4000 0.0375 0.0900 0.0034 0.0000 1.3750 3.3000
CORNERS 0.2160 3.6025 0.7781 2.8031 0.0004 0.0875 0.0189
2 0.2160 3.6025 0.7781 2.8031 0.0004 1.6625 0.3591
3 0.2160 2.0775 0.4487 0.9322 0.0004 1.8000 0.3888
4 0.2160 1.9775 0.4271 0.8446 0.0004 2.6625 0.5751
5 0.2160 0.0875 0.0189 0.0017 0.0004 2.6625 0.5751
6 0.2160 0.0875 0.0189 0.0017 0.0004 0.0875 0.0189
TOTALS 12.2259 22.8700 20.9103 53.1333 3.7327 17.8875 15.1539
AREA = 0.917 IN2
CENTER GRAVITY = 1.710 INCHES TO BASE 1.239 INCHES TO LONG SIDE
Ix = 1.583 IN4 Iy = 0.955 IN4
Sx = 0.799 IN3 Sy = 0.632 IN3
Rx = 1.314 IN Ry = 1.021 IN
Load Beam Check
3.69x 2.750x 0.075 Fy = 55 ksi
A = 0.917 in2 E = 29,500 E3 ksi
Sx = 0.799 in3 Ix = 1.583 in4 •
Length = 96,inches
Pallet Load 1800 lbs
Assume 0.5 pallet load on each beam
M = PL /8= 10.80 k -in
fb = 13.51 ksi Fb = 33 ksi 41%
Mcap = 26.3.8 k -in
35.18 k -in with 1/3 increase •
Defl = 0.22 in = L/ " 432
w/ 25% added to one pallet load
M = .232 PL = 10.02 k -in 38%
•
•
7
Cold Formed Section
HEIGHT OF BEAM 4.500 INCHES / ��r
MAT'L THICKNESS 0.060 INCHES
INSIDE RADIUS 0.100 INCHES LOAD BEAM
WIDTH 2.750 INCHES
STEEL YIELD 55.0 KSI
STEP 1.625 INCHES HIGH 1.000 INCHES WIDE
ABOUT THE HORIZONTAL AXIS ABOUT THE VERTIC
L Y LY LY2 Ii X LX'
LONG SIDE 4.1800 2.2500 9.4050 21.1613 6.0862 0.0300 0.1254
TOP 1.4300 4.4700 6.3921 28.5727 0.0000 0.8750 1.2513
STEP SIDE 1.3650 3.6575 4.9925 18.2600 0.2119 1.7200 2.3478
STEP BOTT 0.7400 2.8450 2.1053 5.9896 0.0000 2.2200 1.6428
SHORT SID 2.5550 1.4375 3.6728 5.2797 1.3899 2.7200 6.9496 •
BOTTOM 2.4300 0.0300 0.0729 0.0022 0.0000 1.3750 3.3413
CORNERS 0.2042 4.4228 0.9031 3.9944 0.0003 0.0772 0.0158
2 0.2042 4.4228 0.9031 3.9944 0.0003 1.6728 0.3416 •
3 0.2042 2.8922 0.5906 1.7082 0.0003 1.7972 0.3670
4 0.2042 2.7978 0.5713 1.5984 0.0003 2.6728 0.5458
5 0.2042 0.0772 0.0158 0.0012 0.0003 2.6728 0.5458
6 0.2042 0.0772 0.0158 0.0012 0.0003 0.0772 0.0158
TOTALS 13.9252 29.3800 29.6403 90.5632 7.6901 17.9100 17.4898
AREA '= 0.836 IN2
CENTER GRAVITY = 2.129 INCHES TO BASE 1.256 INCHES TO LONG SIDE
,Ix = 2.110-1N4 Iy = 0.956•IN4 •
• Sx = 0.890 IN3 Sy = 0.640 IN3
Rx = 1.589 IN Ry = 1.070 IN
Load Beam Check
4.50x 2.750x 0.060 Fy = 55 ksi
A = 0.836 in2 E = 29,500 E3 ksi
Sx = 0.890 in3 Ix = 2.110 in4
Length = 120 inches
Pallet Load • 1800 lbs
Assume 0.5 pallet load on each beam
M = PL /8= 13.50 k -in _
fb = 15.17 ksi Fb = 33 ksi • 46%
Mcap = 29.36 k -in
39.14 k -in with 1/3 increase
Defl = 0.33 in = L/ 369
w/ 25% added to one pallet load
M = .232 PL = 12.53 k -in 43%
•
In Upright Plane
Seismic Load Distribution
per 2009 IBC Sds = 0.700
1.33 Allowable Stress Increase
I = 1.00 R = 4.0
V = (Sds /R) *I *P1 *.67
Weight
60 # per level frame weight
Columns ® 36 "
•
Levels Load WiHi Fi FiHi Column:
(inches) ( #) (k -in) ( #) (k -in) ' C 3.000x 1.625x 0.075
88 1860 164 249 22
66 1860 123 187 12
0 0 0 0 0 KLx = 112.2 in
0 0 0 0 0 KLy = 3 8 in
0 0 0 0 0 A= 0.389 in
0 0 0 0 0 Pcap = 8877 lbs
3720 286 436 34 Column
34% Stress
Max column load = 2812 #
Min column load = 112'#
•
Overturning
(. 6- .11Sds)DL +(0.6- .14Sds)PLapp -EL = -315 # MIN
(1 +0.11Sds)DL+ (1 +0.14Sds)PL+ EL = 2993 # MAX
REQUIRED HOLD DOWN = -315 #
Anchors: 1
T = 315 #
1 0.5 in dia HILTI Ti
3.25 "embedment in 2500 psi concrete
Tcap = 1401 # 23% Stressed
V 218 # per leg Vcap = 1091.# = 20% Stressed
COMBINED = 15% Stressed
OK
Braces:
Brace height = 38 "
Brace width = 36 "
• Length = 52 " - •
P = 634 #
Use : C 1.500x 1.500x 0.075
A = 0.317 in
L/r = 108
Pcap = 5553 # 11%
1
•
In Upright Plane
Seismic Load Distribution TOP LOAD ONLY
per 2009 IBC Sds = 0.700
1.33 Allowable Stress Increase
I = 1.00 R = 4.0
V = (Sds /R) *I *P1 •
Weight
60 # per level frame weight
Columns Q 36 "
Levels Load WiHi Fi FiHi Column:
(inches) ( #) (k -in) ( #) (k -in) C 3.000x 1.625x 0.075
88 1860 164 328 29
66 60 ,4 8 1
O 0 _0 0 0 KLx = '112.2 in
O 0 0 • - 0 0 KLy = 38 in
0 -0 0 0 0 A = 0.389 in
O 0 0 0 0 Pcap = 8877 lbs
1920. 168 336 29 Column
• '' 20% Stress
Max column load = 1776 #
Min column load = 49 #
•
Overturning
(. 6- .11Sds)DL +(0.6- .14Sds)PLapp -EL = -245 # MIN
(1 +0.11Sds)DL+ (1 +0.14Sds)PL+ EL = 1781 # MAX
REQUIRED HOLD DOWN = -245 #
Anchors: •• 1
T = 245 #
1 .0.5 in dia HILTI TZ
. 3'.25 "embedment in 2500 psi concrete
Tcap = 1401 # 18 %Stressed•
V = 168 # per leg Vcap = 1091 # = 15% Stressed.
COMBINED = 10% Stressed
OK
. Braces:
Brace height = 38 "
Brace width = 36 "
Length = 52 "
P = 489 #
Use : •C 1.500x 1.500x 0.075
A = 0.317 in
L/r = 108
Pcap = 5553 # 9%
•
to
PAGE 1
MSU STRESS -11 VERSION 9/89 - -- DATE: 02/24/;1 - -- TIME OF DAY: 12:48:14
INPUT DATA LISTING TO FOLLOW:
Structure Storage Rack in Load Beam Plane 2 Levels
Type Plane Frame
Number of Joints 10
Number of Supports 6
Number of Members 10
Number of Loadings 1
Joint Coordinates
1 0.0 66.0 S
2 0.0 88.0 S, 2 5 • . 8 10
3 73.5 0.0 S
4 73.5 66.0
5 73.5 88.0
6 220.5 0.0 S •
7 220.5 66.0 1 4 7 9
8 220.5 88.0
9 294.0 66.0 S •
10 294.0 88.0 S
Joint Releases 3 6
3 Moment Z
6 Moment Z
1 Force X Moment Z
2 Force X Moment Z
9 Force X Moment Z
10 Force X Moment Z
Member Incidences
1 1 '4 •
2 2 5
3 3 4
4 4 5
5 6 7
6 7 8
7 4 7
8 7 9
9 5 8
10 8 10
Member Properties
1 Thru 2 Prismatic Ax 1.038 Ay_ 0.727 Iz 2.599
3 Thru 6 Prismatic Ax 0.389 Ay 0.19.4 Iz 0.573
7 Thru 10 Prismatic Ax 1.038 Ay 0.727 Iz 2.599
Constants E 29000. All G 12.000. All
Tabulate All
Loading Dead + Live + Seismic
Joint Loads
4 Force Y -0.93
5 Force Y -0.93
7 Force Y -0.93
8 Force Y -0.93
4 Force X 0.038
1
I,
PAGE 2
MSU STRESS -11 VERSION 9/89 - -- DATE: 02/24/;1 - -- TIME OF DAY: 12:48:14
5 Force X 0.051
7 Force X 0.038
8 Force X 0.051
Solve
PROBLEM CORRECTLY SPECIFIED, EXECUTION TO PROCEED
Seismic Analysis per 2009 IBC
wi di widi2 fi fidi
# in #
1860 0.5788 623 76 44.0 38 76
1860 0.5947 658 102 60.7 51 101
O 0.0000 0 0 0.0 0 0
O 0.0000 0 0 0.0 0 0
O 0.0000 0 0 0.0 0 0
O 0.0000 0 0 0.0 0 0
3720 1281 178 104.6 177
g = 32.2 ft /sec2 T = 1.1183 sec
I = 1.00 Cs = 0.0576 or 0.1167
Sdl = 0.387 Cs min = 0.07 or 1.5%
R = 6 Cs = 0.0700
V = (Cs *I) *W *.67
V = 0.0700 W *.67
= 177 # 99%
12'
PAGE 3
MSU STRESS -11 VERSION 9/89 - -- DATE: 02/24/;1 - -- TIME OF DAY: 12:48:14
Structure Storage Rack in Load Beam Plane 2 Levels .
Loading Dead + Live + Seismic
MEMBER FORCES
MEMBER JOINT AXIAL FORCE SHEAR FORCE MOMENT
1 1 0.000 -0.036 0.00
1 4 0.000 0.036 -2.63
2 2 0.000 -0.004 0.00
2 5 0.000 0.004 -0.26
3 3 1.852 0.088 0.00
3 4 -1.852 -0.088 5.84
4 4 0.926 0.031 -0.22
4 5 -0.926 -0.031 0.91
5 6 1.852 0.090 0.00
5 7 -1.852 -0.090 5.91
6 7 0.926 0.071 0.18
6 8 -0.926 -0.071 1.38
7 4 -0.019 -0.040 -2.98
1 7 0.019 0.040 -2.8
8 7 0.000 -0.044 ( -3.2 ,60
8 9 0.000 0.044 0.00 /41604.T
. 9 5 0.020 -0.008 -0.64
9 8 -0.020 0.008 -0.50
10 8 0.000 -0.012 -0.88
10 10 0.000 0.012 0.00
APPLIED JOINT LOADS, FREE JOINTS
JOINT FORCE X FORCE Y MOMENT Z
4 0.038 -0.930 0.00
5 0.051 -0.930 0.00
7 0•.038 -0.930 0.00
8 0.051 -0.930 0.00
REACTIONS,APPLIED LOADS SUPPORT JOINTS
13
•
PAGE 4
MSU STRESS -11 VERSION 9/89 - -- DATE: 02/24/;1 - -- TIME OF DAY: 12:48:14
JOINT FORCE X FORCE Y MOMENT Z
1 0.000 -0.036 0.00
2 0.000 -0.004 0.00
3 -0.088 1.852 0.00
6 -0.090 1.852 0.00 •
• 9 0.000 0.044 0.00
10 0.000 0.012 0.00 •
FREE JOINT DISPLACEMENTS
JOINT X- DISPLACEMENT Y- DISPLACEMENT ROTATION
4 0.5788 - 0.0108 - 0.0010 •
•
5 0.5947 - 0.0126 - 0.0003 .
7 0.5789 - 0.0108 - 0.0009
8 0.5946 - 0.0126 - 0.0001
•
SUPPORT JOINT DISPLACEMENTS
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JOINT X- DISPLACEMENT Y- DISPLACEMENT ROTATION
1 0.5788 0.0000 0.0003 • .
2 0.5947 0.0000 - 0.0001
3 0.0000 - 0.0000 - 0.0126
6 0.0000 0.0000 - 0.0126
9 0.5789 0.0000 0.0007
10 0.5946 0.0000 0.0003
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Beam - Column Check
C 3.000x 1.625x 0.075 Fy = 55 ksi
A = 0.389 in2
Sx = 0.382 in3
Rx = 1.213 in Ry = 0.665 in
kx = 1.70 ky = 1.00
Stress Factor 1.333
Point P M Lx Ly Pcap Mcap Ratio
7 1.9 5.9 66.0 38.0 8.88 16.79 56%
8 1.0 1.4 22.0 38.0 12.59 16.79 16%
0 0.0 0.0 66.0 38.0 8.88 16.79 0%
0 0.0 0.0 66.0' 38.0 8.88 16.79 0%
0 0.0 0.0 66.0 38.0 8.88 16.79 0%
0 0.0 0.0 66.0 38.0 8.88 16.79 0%
Load Beam Check
4.50x 2.750x 0.075 Fy = 55 ksi
A = 1.038 in2 E = 29,500 E3 ksi
Sx = 1.096 in3 Ix = 2.599 in4
Length = 144 inches
Pallet Load 1800 lbs
Assume 0.5 pallet load on each beam
M = PL /8= 16.20 k -in
fb.= 14.79 ksi Fb = 3 ksi 45%
Mcap = 36.15 k -in
48.20 k -in with 1/3 increase
Defl = 0.46 in = L/ 316
w/ 25% added to one pallet load
M = .232 PL = 15.03 k -in 42%
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Base Plate Design
Column Load 2.2 kips
Allowable Soil 1500 psf basic •
Assume Footing 14.7 in square on side
Soil Pressure 1466 psf
Bending:
Assume the concrete slab works as a beam that is fixed against rotation
at the end of the base plate and is free to deflect at the extreme
edge of the assumed footing, but not free to rotate.
Mmax = w1'2/3 ,
Use 3 "square footprint
w = ` . '10.2 psi 1 = 1 5.85 in -
Load factor = 1.67 M = 194 # -in .
• ,5 in thick slab f'c = 2500 psi
s = 4.17 in3 fb = 47 psi
Fb = 5(phi)(f'c ".5) = 163 psi OK !!
Shear :
Beam fv = 20 psi Fv = 85 psi OK !!
Punching fv = 16 psi Fv = 170 psi OK !! •
Footprint Bearing Use ,0.11 " thick
7.75 inches long under column section -
0.295 inches wide -
2.28625 in2 •
Bearing: 0.962 ksi 1.750 ksi Al- lowable
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j (ar
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