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THOMAS Structural Calculations
Sign & Awning Company, Inc. Client: WaWa #5220
4590 118th Avenue North Project Identity No.: 63870
Clearwater, Florida 33762 Design No.: 55825
Florida Certificate of Authorization No. 31751
Installation Location: Prime Vista & Floresta, Port St. Lucie, FL
Description: 26.5" Tall Wall Mounted Channel Letters
Engineering Calculations SCANNED
Table of Contents BY
County Lucie Cou
Structural Engineering Calculations St. Pages 1- 4
Prepared by: John F. Dougherty, P.E.
Florida P.E. No. 80640
Code: Florida Building Code, 5th Edition (2014) - Building
op �Q�,-5
No 80640 _
p,'• i STATE OF .'�ku 29
IV -
2/l0/l7
' AMAR,
•
THOMAS
Sign & Awning Company, Inc.
4590 118th Avenue North
Clearwater, Florida 33762
Florida Certificate of Authorization No. 31751
Structural Calculations
Client: WaWa #5220
Project Identity No.: 63870
Design No.: 55825
Prepared by: John F. Dougherty
Florida P.E. License No. 80640
Installation Location: Prime Vista & Floresta, Port St.. Lucie, FL
Building eave height, h 35.14 feet
Installation height, z 22.22 feet
Florida Building Code 5th Edition (2014) Building
Table 1604.5; Risk Category
Figure 1609A; Vult
Nominal Design Wind Speed,
Vasd = Vult(0.6)'/2 =
1609.4.2; Surface Roughness
1609.4.3; Exposure Category
C&C
11
160 mph
124 mph
B
C grasslands and river flats nearby
Size of letters
W
a
Logo
Height
2.21
1.78
1.35
feet
Width
2.51
1.50
2.14
feet
Area
5.545
2.667
2.892
sq. ft.
Letter thickness
0.417
0.417
0.333
Max dimension
2.51
1.78
2.14
Area
1.046
0.740
0.712
sq.ft.
ASCE 7-10 Table 30.7-2, h=35, Flat Roof, zone 4
Vasd 123.9 mph
Load Case 1 -36.6
Load Case 2 36.6
Pnet
1609.6.4.2 & ASCE 7-10 Table 27.3-1; Kz
1609.6.4.2 & ASCE 7-10 Section 26.8; Kzt
Equation 16-35; Pnet
Max =
windward
leeward
36.6
-36.6 psf
0.918
1.011 kh
1.00
1.00
33.6 -37.0 psf
37.0 psf
1 of 4
2/10/17
THOMAS
Sign & Awning Company, Inc.
4590 118th Avenue North
Clearwater, Florida 33762
Florida Certificate of Authorization No. 31751
Installation Location: Prime Vista & Floresta, Port St.. Lucie, FL
Structural Calculations
Client: WaWa #5220
Project Identity No.: 63870
Design No.: 55825
Prepared by: John F. Dougherty
Florida P.E. License No. 80640
Normal Force
W
a
Logo
Area (sq ft)
5.55
2.67
2.89
Wind pressure (psf)
37.0
37.0
37.0
.Design force (lb)
205.3
98.7
107.0
No of anchors per letter
3
4
Force per anchor
41.05
32.91
26.76 lb tension
Tension in bolts is
100%
100%
100% comprised of wind load
Shear Force.
W
a
Logo
Area (sq ft)
1.05
0.740
0.712
Wind pressure (psf)
37.0
37.0
. 37.0
Design force (lb)
38.7
27.4
26.4
No of anchors per letter
5
3
4
_ Force Fws per anchor (lb)
7.75
9.13
6.59 wind shear
Say letter weighs 5 psf, then
No of anchors per letter
Gravity force Fg per anchor (lb)
Total shear force =
Shear is
and
For load combination 1.0 DL+0.6 Wind:
Standoff distance from face of wall
Bending moment in shaft of fastener
27.73
5
5.55
13.29
42%
58%
W
24.63
10.19
0.00
13.34 14.46 Ibs
3 4
4.45 3.61 gravity shear
10.15 10.20 Ibtotalshear
19% 35% comprised of dead load
81% 65% comprised of wind load
a
19.75
7.79
0.00
16.06
6.90
1.50
0.00 0.00 10.36
lb tension
lb shear
inches
inch -lb
shown on construction documents:
ULTIMATE DESIGN WIND SPEED, Vult (3-SECOND GUST): 160 mph
NOMINAL DESIGN WIND SPEED, Vasd: 124 mph
RISK CATEGORY: II
EXPOSURE CATEGORY: C
2 of 4
2/10/17
THOMAS
Sign & Awning Company, Inc.
4590 118th Avenue North
Clearwater, Florida 33762
Florida Certificate of Authorization No. 31751
Structural Calculations
Client: WaWa #5220
Project Identity No.: 63870
Design No.: 55825
Prepared by: John F. Dougherty
Florida P.E. License No 80640
Determine required size of DFS Liberty (toggle) Anchors for the design forces:
Design Forces:
W1
al
Logo(
Tension, PT:
24.6
19.7
16.1 lb
Shear, Ps:
10.2
7.8
6.9 lb
Moment, M:
0.0
0.0
10.4 inch -lb
Determine required size of DFS T-Anchors for the design forces:
Ultimate
Allowable
Total
Pull Out
Ultimate
Tension
Allowable
Dia (in)
Length (in)
Grip Range (in)
(lb)
Shear (lb)
(lb)*
Shear(lb)*
0.25
1.75
1.000
700
1500
175,
375
0.25
2.5
1.000
1.750
700
1500
175
375
0.25
3.25
1.000
2.500
700
1500
175
375
0.3125
2.5
0.875
1.500
900
2300
225
575
0.3125
3.25
1.250
2.250
900
2300
225
575
0.3125
3.75
1.875
2.750
900
2300
225
575
0.375
3.25
1.000
2.000
1000
3000
250
750
0.375
3.75
1.875
2.500
1000
3000
250
750
0.375
4
2.000
2.750
1000
3000
250
750
0.375
4.5
2.125
3.125
1000
3000
250
750
* Factor of Safety of 4 applied to Ultimate loads
For
Logo
Ot25
Letterl
Banner
0.25
inch dia. T-Anchor
0.25
Allowable tension, Pram. =
175
175
175
lb
Allowable shear, Psall. =
375
375
375
lb
Say dia of spacer sleeve = 2x bolt dia
0.5
0.5
0.5I
Resolve moment M into force couple with distance = spacer
sleeve radius
force in bolt due to M
0
0
41.4
Total tension in bolt, P'T
25
20
57
lb
Stress ratio = P'T/P,11o. + Ps/Psallow =
P'T<=
PTallow;
OK
P'T<=
PTallow;
OK
P'T<=
PTallow;
OK
Psr_
Ps<=
Psr_
PSallow;
PSallow;
PSallow;
OK
OK
OK
0.17
0.13
0.35
<=1.00;
<=1.00;
<=1.00;
OK
OK
OK
3of4
2/10/17
Liberty Anchor (Male Anchor*
Pull-out
Dia Length (lb) Shear (lb)
0.375 6 1800 3000 Ultimate
Factor of Safety 4 4
450 750 Allowable
* From DFS/USA catalog
W
a
Logo
Say dia of spacer sleeve = 2x bolt dia
0.75
0.75
0.75
Resolve moment M into force couple with distance = spacer
sleeve radius
force in bolt due to M
0
0
27.6 lb
Total tension in bolt, P'T
24.6
19.7
43.7 lb
Stress ratio = P/T/450 + PS/750 =
* Female anchors not rated for shear loads.
450 >=
P'T; OK
450 >_
P'T; OK
450 >_
P'T; OK
750 >= P5;
OK
750 >_ PS;
OK
750 >= PS;
OK
0.07
0.05
0.11
<=1.00; OK
<=1.00; OK
<=1.00; OK
`� 4 of \ 2/10/17
THOMAS
Sign & Awning Company, Inc.
4590 118th Avenue North
Clearwater, Florida 33762
Florida Certificate of Authorization No. 31751
Installation Location: Prime Vista & Floresta, Port St. Lucie,FL
Description: 24" Tall WallMountedChannel Letters
Engineering Calculations
Table of Contents
Structural Calculations
Client: WaWa #5220
Project Identity No.: 63870
Design No.: 55825
Structural Engineering Calculations
Prepared by: John F. Dougherty, P.E.
Florida P.E. No. 80640
Code: Florida Building Code, 5th Edition (2014) - Building
Pages 1- 4
t No 80640 L _
A0 STATE OF
Z/io/1,
THOMAS
Sign & Awning Company, Inc.
4590 118th Avenue North
Clearwater, Florida 33762
Florida Certificate of Authorization No. 31751
Structural Calculations
Client: WaWa k5220
Project Identity No.: 63870
Design No.: 55825
Prepared by: John F. Dougherty
Florida P.E. License No. 80640
Installation Location: Prime Vista & Floresta, Port St. Lucie, FL
Building eave height, h 26.35 feet
Installation height, z 21.19 feet
Florida Building Code 5th Edition (2014) Building
Table 1604.5; Risk Category II
Figure 1609A; Vult 160 mph
Nominal Design Wind Speed,
Vasd = Vult(0.6)'/2 = 124 mph
1609.4.2; Surface Roughness B
1609.4.3; Exposure Category C grasslands and river flats nearby
Size of letters W
C&C
Height
Width
Area
Letter thickness
Max dimension
Area
1.98
2.28
4.518
0.417
2.28
a
1.55
1.38
2.135
0.417
1.55
0.951 0.645
ASCE 7-10 Table 30.7-2, h=26, Flat Roof, zone 4
Vasd 123.9 mph
Load Case 1 -34.4
Load Case 2 34.4
windward
leeward
Pnet
34.4
-34.4 psf
1609.6.4.2 & ASCE 7-10 Table 27.3-1; Kz
0.909
0.951 kh
1609.6.4.2 & ASCE 7-10 Section 26.8; Kzt
1.00
1.00
Equation 16-35; Pnet
31.3
-32.7 psf
Max =
32.7
psf
1.22 feet
1.92 feet
2.336 sq. ft.
0.333
1.92
0.639 sq.ft.
1 of 4
2/10/17
THOMAS
Sign & Awning Company, Inc.
4590 118th Avenue North
Clearwater, Florida 33762
Florida Certificate of Authorization No. 31751
Installation Location: Prime Vista & Floresta, Port St. Lucie, FL
Structural Calculations
Client: WaWa#5220
Project Identity No.: 63870
Design No.: 55825
Prepared by: John F. Dougherty
Florida P.E. License No. 80640
Normal Force
W
a
Logo
Area (sq ft)
4.52
2.13
2.34
Wind pressure (psf)
32.7
32.7
32.7
Design force (lb) _
147.9
69.9
76.5
No of anchors per letter.
RINEW
Force per anchor
29.58
23.29
19.12 lb tension
Tension in bolts is -
100%
100%
100% comprised of wind load
Shear Force
W
a
Logo
Area (sq ft)
0.95
0.645
0.639
Wind pressure (psf)
32.7
32.7
32.7
Design force (lb)
31.1
21.1
20.9
No of anchors per letter
5
3
4
Force Fws per anchor (lb)
6.23
7.04
5.23 wind shear
Say letter weighs 5 psf, then
No of anchors per letter
Gravity force Fg per anchor (lb)
Total shear force =
Shear is
and
For load combination 1.0 DL+0.6 Wind:
Standoff distance from face of wall
Bending moment in shaft of fastener
22.59 10.67
5 3
4.52 3.56
10.74 7.89
42% 20%
58% 80%
W
a
17.75
13.98
8.25
6.06
0.00
0.00
0.00
0.00
11.68 Ibs
4
2.92
gravity shear
8.15
Ib total shear
36%
comprised of dead load
64%
comprised of wind load
Logo
11.47 lb tension
5.55 lb shear
1.50 'inches
8.33 inch -lb
on construction documents:
ULTIMATE DESIGN WIND SPEED, Vult (3-SECOND GUST): 160 mph
NOMINAL DESIGN WIND SPEED, Vasd: 124 mph
RISK CATEGORY: II
EXPOSURE CATEGORY: C
2of4
2/10/17
THOMAS
Sign & Awning Company, Inc.
4590 118th Avenue North
Clearwater, Florida 33762
Florida Certificate of Authorization No. 31751
Structural Calculations
Client: WaWa #5220
Project Identity No.: 63870
Design No.: 55825
Prepared by: John F. Dougherty
Florida P.E. License No 80640
Determine required size of DFS Liberty (toggle) Anchors for the design forces:
Design Forces: Logo Letter _ Banner
Tension, PT: 17.7 14.0 11.5 lb
Shear, Ps: 8.3 6.1 5.6 lb
Moment, M: 0.0 0.0 8.3 inch -lb
Determine required size of DFS T-Anchors for the design forces:
Ultimate
Allowable
Total
Pull Out
Ultimate
Tension
Allowable
Dia (in)
Length (in)
Grip Range (in)
(lb)
Shear (lb)
(lb)*
Shear (lb)*
0.25
1.75
1.000
700
1500
175
375
0.25
2.5
1.000
1.750
700
1500
175
375
0.25
3.25.
1.000
2.500
700
1500
175
375
0.3125
2.5
0.875
1.500
900
2300
225
575
0.3125
3.25
1,250
2.250
900
2300
225
575
0.3125
3.75
1.875
2.750
900
2300
225
575
0.375
3.25
1.000
2.000
1000
3000
250
750
0.375
3.75
1.875
2.500
1000
3000
250
750
0.375
4
2.000
2.750
1000
3000
250
750
0.375
4.5
2.125
3.125
1000.
3000
250
750
* Factor of Safety of 4 applied to Ultimate loads
Logo
For 0.25
Letterl
Banner
0:25
inch dia. T-Anchor
0.25
Allowable tension, PTallow=
175
175
175
lb
Allowable shear, Psanow=
375
375
375
lb
Say dia of spacer sleeve = 2x bolt dia
0.5
0.5
0.51
Resolve moment M into force couple with distance = spacer
sleeve radius
force in bolt due to M
0
0
33.3
Total tension in bolt, P'T
18
14I
45I
lb
Stress ratio = P'T/PTallow + PS/PSallow =
P'T<=
PTallow;
OK
P'T<=
PTallow;
OK
P'T<=
PTallow;
OK
Ps<=
Ps<=
Ps<=
PSallow;
PSallow;
PSallow;
OK
OK
OK
0.12
0.10
0.27
<=1.00;
<=1.00;
<=1.00;
OK
OK
OK
3of4
2/10/17
Liberty Anchor (Male Anchor*)
Pull-out
Dia Length (lb) Shear (lb)
0.375 6 1800 3000 Ultimate
Factor of Safety 4 4
450 750 Allowable
* From DFS/USA catalog
Logo Letter Banner
Say dia of spacer sleeve = 2x bolt dia 0.75 0.75 0.75
Resolve moment M into force couple with distance = spacer sleeve radius
force in bolt due to M 0 0 22.2 lb
Total tension in bolt, P'T 17.7 14.0 33.7 lb
Stress ratio= P/T/450 + PS/750 =
* Female anchors not rated for shear loads.
450 >=
P'T; OK
450 >_
P'T; OK
450 >_
P'T; OK
750 >_ P5;
OK
750 >_ P5;
OK
750 >= P5;
OK
0.05
0.04
0.68
<=1.00; OK
<=1.00; OK
<=1.00; OK
4 of 4 2/10/17
i
III
THOMAS
Sign & Awning Company, Inc.
4590 118th Avenue North
Clearwater, Florida 33762
Florida Certificate of Authorization No. 31751
Installation Location: Prime Vista & Floresta, Port St. Lucie, FL
Description: 24" Tall Wall Mounted Channel Letters
Engineering Calculations
Table of Contents
Structural Calculations
Client: WaWa #5220
Project Identity No.: 63870
Design No.: 55825
Structural Engineering Calculations
Prepared by: John F. Dougherty, P.E.
Florida P.E. No. 80640
Code: Florida Building Code, 5th Edition (2014) - Building
Pages 1- 4
\ -%\ F1DOUGI-//
i
A
No 60640
AD',' STATE OF
'',//III I I I K%
Zfio/iT
THOMAS
Sign & Awning Company, Inc.
4590 118th Avenue North
Clearwater, Florida 33762
Florida Certificate of Authorization No. 31751
Structural Calculations
Client: WaWa #5220
Project Identity No.: 63870
Design No.: 55825
Prepared by: John F. Dougherty
Florida P.E. License No. 80640
Installation Location: Prime Vista & Floresta, Port St.. Lucie, FL
Building eave height, h 26.35 feet
Installation height, z 21.19 feet
Florida Building Code 5th Edition (2014) Building
Table 1604.5; Risk Category
Figure 1609A; Vult
Nominal Design Wind Speed,
Vasd = Vult(0.6)112 =
1609.4.2; Surface Roughness
1609.4.3; Exposure Category
C&C
11
160 mph
124 mph
B
C grasslands and river flats nearby
Size of letters
W
a
Logo
Height
1.98
1.55
1.22
feet
Width
2.28
1.38
1.92
feet
Area
4.518
2.135
2.336
sq. ft.
Letter thickness
0.417
0.417
0.333
Max dimension
2.28
1.55
1.92
Area
0.951
0.645
0.639
sq.ft.
ASCE 7-10 Table 30.7-2, h=26, Flat Roof, zone 4
Vasd 123.9 mph
Load Case 1 -34.4
Load Case 2 34.4
Pnet
1609.6.4.2 & ASCE 7-10 Table 27.3-1; Kz
1609.6.4.2 & ASCE 7-10 Section 26.8; Kzt
Equation 16-35; Pnet
Max =
windward leeward
34.4
-34.4 psf
0.909
0.951 kh
1.00
1.00
31.3
-32.7 psf
32.7
psf
1 of4 2/10/17
THOMAS
Sign & Awning Company, Inc.
4590 118th Avenue North
Clearwater, Florida 33762
Florida Certificate of Authorization No. 31751
Installation Location: Prime Vista & Floresta, Port St.. Lucie, FL
Structural Calculations
Client: WaWa #5220
Project Identity No.: 63870
Design No.: 55825
Prepared by: John F. Dougherty
Florida P.E. License No. 80640
Normal Force
W
a
Logo
Area (sq ft)
4.52
2.13
2.34
Wind pressure (psf)
32.7
32.7
32.7
Design force (lb)
147.9
69.9
76.5
No of anchors per letter
5
r3AEW
Force per anchor
29.58
23.29
19.12
lb tension
Tension in bolts is
100%
100%
100%
comprised of wind load
Shear Force
W
a
Logo
Area (sq ft)
0.95
0.645
0.639
Wind pressure (psf)
32.7
32.7
32.7
Design force (lb)
31.1
21.1
20.9
No of anchors per letter
5
3
4
Force Fws per anchor (lb)
6.23
7.04
5.23
wind shear
Say letter weighs 5 psf, then
22.59
10.67
11.68
Ibs
No of anchors per letter
5
3
4
Gravity force Fg per anchor (lb)
4.52
3.56
2.92
gravity shear
Total shear force =
10.74
7.89
8.15
lb total shear
Shear is
42%
20%
36%
comprised of dead load
and
58%
80%
64%
comprised of wind load
W
a
Logo
For load combination 1.0 DL+0.6 Wind:
17.75
13.98
11.47
lb tension
8.25
6.06
5.55
lb shear
Standoff distance from face of wall
0.00
0.00
1.50
inches
Bending moment in shaft of fastener
0.00
0.00
8.33
inch -lb
To be shown on construction documents:
ULTIMATE DESIGN WIND SPEED, Vult (3-SECOND GUST): 160 mph
NOMINAL DESIGN WIND SPEED, Vasd: 124 mph
RISK CATEGORY: II
EXPOSURE CATEGORY: C
DESIGN WIND PRESSURE: 32.7 psf
} 2 of
2/10/17
THOMAS
Sign & Awning Company, Inc.
4590 118th Avenue North
• Clearwater, Florida 33762
Florida Certificate of Authorization No. 31751
Structural Calculations
Client: WaWa #5220
Project Identity No.: 63870
Design No.: 55825
Prepared by: John F. Dougherty
Florida P.E. License No 80640
Determine required size of DFS Liberty (toggle) Anchors for the design forces:
Design Forces: Logo Letterl Banner)
Tension, PT: 17.7 14.0 11.5 lb
Shear, Ps: 8.3 6.1 5.6 lb
Moment, M: 0.0 0.0 8.3 inch -lb
Determine required size of DIPS T-Anchors for the design forces:
Ultimate
Allowable
- Total
Pull Out
Ultimate
Tension
Allowable
Dia (in)
Length (in)
Grip Range (in)
(lb)
Shear (lb)
(lb)*
Shear (lb)*
0.25
1.75
1.000
700
1500
175
375
0.25
2.5
1.000
1.750
700
1500
175
375
0.25
3.25
1.000
2.500
700
1500
175
375
0.3125
2.5
0.875
1.500
900
2300
225
575
0.3125
3.25
1.250
2.250
900
2300
225
575
0.3125
3.75
1.875
2.750
900
2300
_ 225
575
0.375
3.25
1.000
2.000
1000
3000
250
750
0.375
3.75
1.875
2.500
1000
3000
250
750
0.375
4
2.000
2.750
1000
3000
250
750
0.375
4.5
2.125
3.125
1000
3000.
250
750
. Factor of Safety of 4 applied to Ultimate loads
Logo
For Or25
Letterl
Banner
Oa25
inch dia. T-Anchor
MEL01,25
NOR
Allowable tension, PTauow=
175
175
175
Ib
Allowable shear, Ps 11ow =
375
375
375
lb
Say dia of spacer sleeve = 2x bolt dia
0.5
0.5
0.5I
Resolve moment M into force couple with distance
= spacer
sleeve radius
force in bolt due to M
0
0
33.3
Total tension in bolt, P'T
18
14I
451
lb
Stress ratio = P'T/PTallow+ PS/PSallow '
P'T<=
PTallow;
OK
P'T<=
PTallow;
OK
P'T<=
PTallow;
OK
Ps<=
Ps<=
Ps<=
PSallow;
PSallow;
PSallow;
OK
OK
OK
0.12
0.10
0.27
<=1.00;
<=1.00;
<=1.00;
OK
OK
OK
3of4
2/10/17
Liberty Anchor (Male Anchor*)
Pull-out
Dia Length (lb) Shear (lb)
0.375 6 1800 3000 Ultimate
Factor of Safety 4 4
450 750 Allowable
* From DFS/USA catalog
Logo Letter Banner
Say dia of spacer sleeve = 2x bolt dia 0.75 0.75 0.75
Resolve moment M into force couple with distance = spacer sleeve radius
force in bolt due to M 0 0 22.2 lb
Total tension in bolt, P'T 17.7 14.0 33.7 lb
Stress ratio = P/T/450 + PS/750 =
* Female anchors not rated for shear loads.
450 >=
P'T; OK
450 >=
P'T; OK
450 >_
P'T, OK
750 >= PS;
OK
750 >= PS;
OK
750 >= PS;
OK
0.05
0.04
0.08
<=1.00; OK
<=1.00; OK
<=1.00; OK
4 of 4 2/10/17
THOMAS
Sign & Awning Company, Inc.
4590 118th Avenue North
Clearwater, Florida 33762
Florida Certificate of Authorization No. 31751
Installation Location: Prime Vista & Floresta, Port St. Lucie, FL
Description: 24" Tall Wall Mounted Channel Letters
Engineering Calculations
Table of Contents
Structural Calculations
Client: WaWa #5220
Project Identity No.: 63870
Design No.: 55825
Structural Engineering Calculations
Prepared by: John F. Dougherty, P.E.
Florida P.E. No.80640
Code: Florida Building Code, 5th Edition (2014) - Building
Pages 1 - 4
DOOG
No 80640 d
7B�', STATE OF %sg;
THOMAS
Sign & Awning Company, Inc.
4590 118th Avenue North
Clearwater, Florida 33762
Florida Certificate of Authorization No. 31751
Structural Calculations
Client: WaWa#5220
Project Identity No.: 63870
Design No.: 55825
Prepared by: John F. Dougherty
Florida P.E. License No. 80640
Installation Location: Prime Vista & Floresta, Port St. Lucie, FL
Building eave height, h 26.35 feet
Installation height, z 21.19 feet
Florida Building Code 5th Edition (2014) Building
Table 1604.5; Risk Category
Figure 1609A; Vult
Nominal Design Wind. Speed,
Vasd = Vult(0.6)1/2 =
1609.4.2; Surface Roughness
1609.4.3;Exposure Category
C&C
Size of letters
Height
Width
Area
Letter thickness
Max dimension
Area
11
160 mph
124 mph
B
C grasslands and river flats nearby
W
a
1.98
1.55
2.28
1.38
4.518
2.135
0.417
0.417
2.28
1.55
0.951
0.645
ASCE 7-10 Table 30.7-2, h=26, Flat Roof, zone 4
Vasd 123.9 mph
Load Case 1 -34.4
Load Case 2 34.4
Pnet
1609.6.4.2 & ASCE 7-10 Table 27.3-1; Kz
1609.6.4.2 & ASCE 7-10 Section 26.8; Kzt
Equation 16-35; Pnet
Max =
windward leeward
34.4
-34.4 psf
0.909
0.951 kh
1.00
1.00
31.3
-32.7 psf
32.7
psf
1.22 feet
1.92 feet
2.336 sq. ft.
0.333
1.92
0.639 sq. ft
1 of 4 2/10/17
THOMAS
Sign & Awning Company, Inc.
4590 118th Avenue North
Clearwater, Florida 33762 -
Florida Certificate of Authorization No. 31751
Installation Location: Prime Vista & Floresta, Port St. Lucie, FL
Structural Calculations
Client: WaWa #5220
Project Identity No.: 63870
Design No.: 55825
Prepared by: John F. Dougherty
Florida P.E. License No. 80640
Normal Force
W
a
Logo
Area (sq ft)
4.52
2.13
2.34
Wind pressure (psf)
32.7
32.7
32.7
Design force (lb)
147.9
69.9
76.5
No of anchors per letter
5mmmm
Force per anchor
29.58
23.29
19.12
lb- tension
Tension in bolts is
100%
100%
100%
comprised of wind load
Shear Force
W
a
Logo
Area (sq ft)
0.95
0.645
0.639
Wind pressure (psf)
32.7
32.7
32.7
Design force (lb)
31.1
21.1
20.9
No of anchors per letter
5
3
4
Force Fws per anchor (lb)
6.23
7.04
5.23
wind shear .
Say letter weighs 5 psf, then
22.59
10.67
11.68
Ibs
No of anchors per letter
5
3
4
Gravity force Fg per anchor (lb)
4.52
3.56
2.92
gravity shear
Total shear force =
10.74
7.89
8.15
lb total shear
Shear is
42%
20%
36%
comprised of dead load
and
58%
80%
64%
comprised of wind load
W
a
Logo
For load combination 1.0 DL+ 0.6 Wind:
17.75
13.98
'11.47
lb tension
8.25
6.06
5.55
lb shear
Standoffdistance from face of wall
0.00
0.00
1.50
inches
Bending moment in shaft of fastener
0.00
0.00
8.33
inch -lb
To be shown on construction documents:
ULTIMATE DESIGN WIND SPEED, Vult (3-SECOND GUST): 160 mph
NOMINAL DESIGN WIND SPEED, Vasd: 124 mph
RISK CATEGORY: II
EXPOSURE CATEGORY: C
DESIGN WIND PRESSURE: 32.7 psf
2 of 4 2/10/17
THOMAS
Sign & Awning Company, Inc.
4590 118th Avenue North
Clearwater, Florida 33762
Florida Certificate of Authorization No. 31751
Structural Calculations
Client: WaWa #5220
Project Identity No.: 63870
Design No.: 55825
Prepared by: John F. Dougherty
Florida P.E. License No 80640
Determine required size of DFS Liberty (toggle) Anchors for the design forces:
Design Forces: Logol Letterl Banner)
Tension, PT: 17.7 14.0 11.5 lb
Shear, Ps: 8.3 6.1 5.6 lb
Moment, M: 0.0 0.0 8.3 inch -lb
Determine required size of DFS T-Anchors for the design forces:
Ultimate
Allowable
Total
Pull Out
Ultimate
Tension
Allowable
Dia (in)
Length (in)
Grip Range (in)
(lb)
Shear (lb)
(lb)*
Shear (lb)*
0.25
1.75
1.000
700
1500
175
375
0.25
2.5
1.000
1.750
700
1500
175
375
0.25
3.25
1.000
2.500
700
- 1500
175
375
0.3125
2.5
0.875
1.500
900
2300
225
575
0.3125.
3.25
1.250
2.250
900
2300
225
575
0.3125
3.75
1.875
2.750
900
2300
225
575
0.375
3.25
1.000
2.000
1000
3000
250
750
0.375
3.75
1.875
2.500
1000
3000
250
750
0.375
4
2.000
2.750
1000
3000
250
750
0.375
4.5
2.125
3.125
1000
3000
250
750
s Factor of Safety of 4 applied to Ultimate loads
Logo
For 0:25
Letterl
Banner
0:25
inch dia. T-Anchor
0.25
Allowable tension, PTanow =
175
'175
175
lb
Allowable shear, Psanaw =
375
375
375
lb
Say dia of spacer sleeve = 2x bolt dia
0.5
0.5
0.51
Resolve moment M into force couple with distance
= spacer
sleeve radius
. force in bolt due to M
0
0
33.3
Total tension in bolt, P'T
18
14
45
lb
Stress ratio = P'T/PTanow + PS/PSallow =
P'T<=
PTallow;
OK
P'T<=
PTallow;
OK
P'T<=
PTallow;
OK
Ps<=
Ps<=
Ps<=
PSallow;
PSallow;
PSallow;
OK
OK
OK
0.12
0.10
0,27
<=1.00;
<=1.00;
<=1.00;
OK
OK
OK
3 of 4 2/10/17
Ligerty Anchor (Male Anchor*)
Pull-out
Dia Length (lb) Shear (lb)
0.375 6 1800 3000 Ultimate
Factor of Safety 4 4
450 750 Allowable
* From DFS/USA catalog
Logo Letter Banner
Say dia of spacer sleeve = 2x bolt dia 0.75 0.75 0.75
Resolve moment M into force couple with distance = spacer sleeve radius
force in bolt due to M 0 0 22.2 lb
Total tension in bolt, P'T 17.7 14.0 33.7 lb
Stress ratio = P/T/450 + PS/750 =
* Female anchors not rated for shear loads.
450 >=
P'T; OK
450 >=
P'T; OK
450 >_
P'T; OK
750 >= PS;
OK
750 >= PS;
OK
750 >= PS;
OK
0.05
0.04
0.08
<=1.00; OK
<=1.00; OK
<=1.00; OK
4 of 4 2/10/17
THOMAS
Sign & Awning Company, Inc.
4590 118th Avenue North
Clearwater, Florida 33762
Florida Certificate of Authorization No. 31751
Installation Location: Prime Vista & Floresta, Port St. Lucie, FL
Description: 26:5" Tall Wall Mounted Channel Letters
Engineering Calculations
Table of Contents
Structural Calculations
Client: WaWa #5220
Project Identity No.: 63870
Design No.: 55825
Structural Engineering Calculations
Prepared by: John F. Dougherty, P.E.
Florida P.E. No. 80640
Code: Florida Building Code, 5th Edition (2014) - Building
Pages 1- 4
\�\\\�,0pUGh/4Q//�/
O No CC =
j W —
S iE of ;
- ! L r
THOMAS
Sign & Awning Company, Inc.
4590 118th Avenue North
Clearwater, Florida 33762
Florida Certificate of Authorization No. 31751
Structural Calculations
Client: WaWa #5220
Project Identity No.: 63870
Design No.: 55825
Prepared by: John F. Dougherty
Florida P.E. License No. 80640
Installation Location: Prime Vista & Floresta, Port St. Lucie, FL
Building eave height, h 35.14 feet
Installation height, z 22.22 feet
Florida Building Code 5th Edition (2014) Building
Table 1604.5; Risk Category
Figure 1609A; Vult
Nominal Design Wind Speed,
Vasd = Vult(0.6)'12 =
1609.4.2; Surface Roughness
1609.4.3; Exposure Category
C&C
11
160 mph
124 mph
B
C grasslands and river flats nearby
Size of letters
W
a
Logo
Height
2.21
1.78
1.35
feet
Width
2.51
1.50
2.14
feet
Area
5.545
2.667
2.892
sq.ft.
Letter thickness 0.417
Max dimension 2.51
Area 1.046
ASCE 7-10 Table 30.7-2, h=35, Flat Roof, zone 4
Vasd 123.9 mph
Load Case 1 -36.6
Load Case 2 36.6
Pnet
1609.6.4.2 & ASCE 7-10 Table 27.3-1; Kz
1609.6.4.2 & ASCE 7-10 Section 26.8; Kzt
Equation 16-35; Pnet
Max =
0.417 0.333
1.78 2.14
0.740 0.712 sq. ft.
windward
leeward
36.6
-36.6 psf
0.918
1.011 kh
1.00
1.00
33.6 -37.0 psf
37.0 psf
1 of 4 2/10/17
i
T,HOMAS
Sign & Awning Company, Inc.
4590 118th Avenue North
Clearwater, Florida 33762
Florida Certificate of Authorization No. 31751
Installation Location: Prime Vista & Floresta, Port St. Lucie, FL
Structural Calculations
Client: WaWa #5220
Project Identity No.: 63870
Design No.: 55825
Prepared by: John F. Dougherty
Florida P.E. License No. 80640
Normal Force
W
a
- Logo
Area (sq ft)
5.55
2.67
2.89
Wind pressure (psf)
37.0
37.0
37.0
Design force (lb)
205.3
98.7
-107.0
No of anchors per letter
5
Force per anchor
41.05
32.91
26.76
lb tension
- Tension in bolts is
100%
100%
100%
comprised of wind load
Shear Force
W
a
Logo
Area (sq ft)
1.05-
0.740
0.712
Wind pressure (psf)
37.0
37.0
37.0
Design force (lb)
38.7
27.4
26.4
No of anchors per letter
5
3
4
Force Fws per anchor (lb)
7.75
9.13
6.59
wind shear
Say letter weighs 5 psf, then
27.73
13.34
14.46
Ibs
No of anchors per letter
5
3
4
Gravity force Fg per anchor (lb)
5.55
4.45
3.61
gravity shear
Total shear force =
. 13.29
10.15-
10.20
lb total shear
Shear is
42%
19%
35%
comprised of dead load
and
58%
81%
65%
comprised of wind load
W
a
Logo
For load combination 1.0 DL+0.6 Wind:
24.63
19.75
16.06
lb tension
10.19
7.79
6.90
lb shear
Standoff distance from face of wall
0.00
0.00
1.50
inches
Bending moment in shaft of fastener
0.00
0.00
10.36
inch -lb
To be shown on construction documents:
ULTIMATE DESIGN WINDS PEED,Vult (3-SECOND GUST): 160 mph
NOMINAL DESIGN WIND SPEED, Vasd: 124 mph
RISK CATEGORY: II
EXPOSURE CATEGORY: C
DESIGN WIND PRESSURE: _ 37.0 psf
2 of 2/10/17
THOMAS
Sign & Awning Company, Inc.
4590 118th Avenue North
Clearwater, Florida 33762
Florida Certificate of Authorization No. 31751
Structural Calculations
Client: WaWa #5220
Project Identity No.: 63870
Design No.: 55825
Prepared by: John F. Dougherty
Florida P.E. License No 80640
Determine required size of DFS Liberty (toggle) Anchors for the design forces:
Design Forces:
WI
al
Logol
Tension, PT:
24.6
19.7
16.1 lb
Shear, Ps:
10.2
7.8
6.9 lb
Moment, M:
0.0
0.0
10.4 inch -lb
Determine required size of DFS T-Anchors for the design forces:
Ultimate
Allowable
Total
Pull Out
Ultimate
Tension
Allowable
Dia (in)
Length (in)
Grip Range (in)
(lb)
Shear (lb)
(lb)*
Shear (lb)*
0.25
1.75
1.000
700
1500
175
375
0.25
2.5
1.000
1.750
700
1500
175
375
0.25
3.25
1.000
2.500
700
1500
175
375
0.3125
2.5
0.875
1.500
900
2300
225
575
0.3125
3.25
1.250
2.250
900
2300
225
575
0.3125
3.75
1.875
2.750
900
2300
225
575
0.375
3.25
1.000
2.000
1000
3000
250
750
0.375
3.75
1.875
2.500
1000
3000
250
750
0.375
4
2.000
2.750
1000
3000
250
750
0.375
4.5
2.125
3.125
1000
3000
250
750
* Factor of Safety of 4 applied to Ultimate loads
For
Logo
0,25
Letterl
Banner
All 0.25
inch dia. T-Anchor
0.25
Allowable tension, PTaiiow=
175
175
175
lb
Allowable shear, P,,iiow=
375
375
375
lb
Say dia of spacer sleeve = 2x bolt dia
0.5
0.5
0.SI
Resolve moment M into force couple with distance = spacer
sleeve radius
force in bolt due to M
0
0
41.4
Total tension in bolt, P'T
251
20
57I
Ib
Stress ratio = P'T/PTauow + Ps/Psaliow =
P'T<=
PTallow;
OK
P'T<=
PTallow;
OK
P'T<=
PTallow;
OK
Ps<=
Ps<=
Ps<=
PSallow;
PSallow;
PSallow;
OK
OK
OK
0.17
0.13
0.35
<=1.00;
<=1.00;
<=1.00;
OK
OK
OK
3 of 2/10/17
Liberty Anchor (Male Anchor*
Pull-out
Dia Length (lb) Shear (lb)
0.375 6 1800 3000 Ultimate
Factor of Safety 4 4
450 750 Allowable
* From DFS/USA catalog
W
a
Logo
Say dia of spacer sleeve = 2x bolt dia
0.75
0.75
0.75
Resolve moment M into force couple with distance
= spacer
sleeve radius
force in bolt due to M
0
0
27.6 lb
Total tension in bolt, P'T
24.6
19.7
43.7 lb
Stress ratio = P/T/450 + PS/750 =
* Female anchors not rated for shear loads.
450 >=
P'T; OK
450 >=
P'T; OK
450 >_
P'T; OK
750 >= PS;
OK
750 >= PS;
OK
750 >= PS;
OK
0.07
0.05
0.11
<=1.00; OK
<=1.00; OK
<=1.00; OK
4 of 4 2/10/17
THOMAS
Sign & Awning Company, Inc.
4590 118th Avenue North
Clearwater, Florida 33762
Florida Certificate of Authorization No. 31751
Installation Location: Prime Vista & Floresta, Port St. Lucie, FL
Description: 24" Tall Wall Mounted Channel Letters
Engineering Calculations
Table of Contents
Structural Calculations
Client: WaWa #5220
Project Identity No.: 63870
Design No.: 55825
Structural Engineering Calculations
Prepared by: John F. Dougherty, P.E.
Florida P.E. No. 80640
Code: Florida Building Code, 5th Edition (2014) - Building
Pages 1- 4
0 .d
No 80640
STATE OF %'b�
T,HOMAS
Sign & Awning Company, Inc.
4590 118th Avenue North
Clearwater, Florida 33762
Florida Certificate of Authorization No. 31751
Structural Calculations
Client: WaWa #5220
Project Identity No.: 63870
Design No.: 55825
Prepared by: John F. Dougherty
Florida P.E. License No. 80640
Installation Location: Prime Vista & Floresta, Port St. Lucie, FL
Building eave height, h 26.35 feet
Installation height, z 21.19 feet
Florida Building Code 5th Edition (2014) Building
Table 1604.5; Risk Category
Figure 1609A; Vult
Nominal Design Wind Speed,
Vasd = Vult(0.6)'12 =
1609.4.2; Surface Roughness
1609.4.3; Exposure Category
C&C
11
160 mph
124 mph
B
C grasslands and river flats nearby
Size of letters
W
a
Logo
Height
1.98
1.55
1.22
feet
Width
2.28
1.38
1.92
feet
Area
4.518
2.135
2.336
sq. ft.
_ Letter thickness
0.417
0.417
0.333
Max dimension
2.28
1.55
1.92
Area
0.951
0.645
0.639
sq.ft.
ASCE 7-10 Table 30.7-2, h=26, Flat Roof, zone 4
Vasd 123.9 mph
Load Case 1 -34.4
Load Case 2 34.4
windward
leeward
Pnet
34.4
-34.4 psf
1609.6.4.2 & ASCE 7-10 Table 27.3-1; Kz
0.909
0.951 kh
1609.6.4.2 & ASCE 7-10 Section 26.8; Kzt
1.00
1.00
Equation 16-35; Pnet
31.3
-32.7 psf
Max =
32.7
psf
1 of 4 2/10/17
THOMAS
Sign & Awning Company, Inc.
4590 118th Avenue North
Clearwater, Florida 33762
Florida Certificate of Authorization No. 31751
Installation Location: Prime Vista & Floresta, Port St. Lucie, FL
Structural Calculations
Client: WaWa#5220
Project Identity No.: 63870
Design No.: 55825
Prepared by: John F. Dougherty
Florida P.E. License No. 80640
Normal Force
W
a
Logo
Area (sq ft)
4.52
2.13
2.34
Wind pressure (psf)
32.7
32.7
32.7
Design force (lb)
147.9
69.9
76.5
No of anchors per letter
5
y
4
Force per anchor
29.58
23.29
19.12
lb tension
Tension in bolts is
100%
..100%
100%
comprised of wind load
Shear Force -
W
a
Logo
_ Area (sq ft)
0.95
0.645
0.639
Wind pressure (psf)
32.7
32.7
32.7
Design force (lb)
31.1
21.1
20.9
No of anchors per letter
5
3
4
Force Fws per anchor (lb)
6.23
7.04
5.23
wind shear
Say letter weighs 5 psf, then
22.59
10.67
11.68
Ibs
No of anchors per letter
5
3
4
Gravity force Fg per anchor (lb)
4.52
3.56
2.92
gravity shear -
Total shear force =
10.74
7.89
8.15
lb total shear
Shear is
42%
20%
36%
comprised of dead load
and
58%
80%
64%
comprised of wind load
W
a
Logo
For load combination.1.0 DL+0.6 Wind:
17.75
13.98
11.47
lb tension
8.25
6.06
5.55
lb shear
Standoff distance from face of wall
0.00
0.00
1.50
inches
Bending moment in shaft of fastener
0.00
0.00
8.33
inch -lb
'To be shown on construction documents:
ULTIMATE DESIGN WIND SPEED, Vult (3-SECOND GUST): 160 mph
NOMINAL DESIGN WIND SPEED, Vasd: 124 mph
RISK CATEGORY: II
EXPOSURE CATEGORY: C
DESIGN WIND PRESSURE: 32.7 psf
i
2 of4 2/10/17
THOMAS
Sign & Awning Company, Inc.
4590 118th Avenue North
Clearwater, Florida 33762
Florida Certificate of Authorization No. 31751
Structural Calculations
Client: WaWa #5220
Project Identity No.: 63870
Design No.: 55825
Prepared by: John F. Dougherty
Florida P.E. License No 80640
Determine required size of DFS Liberty (toggle) Anchors for the design forces:
Design Forces: Logol Letterl = Bannerl
Tension, PT: 17.7 14.0 11.5 lb
Shear, Ps: 8.3 6.1 5.6 lb
Moment, M: 0.0 0.0 8.3 inch -lb
Determine required size of DFS T-Anchors for the design forces:
Ultimate
Allowable
Total
Pull Out
Ultimate
Tension
Allowable
Dia (in)
Length (in)
Grip Range (in)
(lb)
Shear (lb)
(lb)*
Shear (lb)*
0.25
1.75
1.000
700
1500
175
375
0.25
2.5
1.000
1.750
700
1500
175
375
0.25
3.25
1.000
2.500
700
1500
175
375
0.3125
2.5
0.875
1.500
900
2300
225
575
0.3125
3.25
1.250
2.250
900
2300
225
575
0.3125
3.75
1.875
2.750
900
2300
225
575
0.375
3.25
1.000
2.000
1000
3000
250
750
0.375
3.75
1.875
2.500
1000
3000
250
750
0.375
4
2.000
2.750
1000
3000
250
750
0.375
4.5
2.125
3.125
1000
3000
250
750
* Factor of Safety of 4 applied to Ultimate loads
For
Logo
0.25
Letterl
Banner
11111=
inch dia.T-Anchor
0.25
Allowable tension, PTauow =
175
175
175
lb
Allowable shear, Psauow =
375
375
375
Ib
Say dia of spacer sleeve = 2x bolt dia
0.5
0.5
0.51
Resolve moment M into force couple with distance = spacer
sleeve radius
force in ue
3
Total tensionlin boltoP''T
181
14I
45I
lb
Stress ratio = P'T/PTallow + Ps/Psaliow =
P'T<=
PTallow;
OK
P'T<=
PTallow;
OK
P'T<=
PTallow;
OK
Ps<=
Ps<=
Ps<=
PSallow;
PSallow;
PSallow;
OK
OK
OK
0.12
0.10
0.27
<=1.00;
<=1.00;
<=1.00;
OK
OK
OK
3 of 2/10/17
Liberty Anchor (Male Anchor*
Pull-out
Dia Length (lb) Shear (lb)
0.375 6 1800 3000 Ultimate
Factor of Safety 4 4
450 750 Allowable
* From DFS/USA catalog
Logo
Letter Banner
Say dia of spacer sleeve = 2x bolt dia
0.75
0.75 0.75
Resolve moment M into force couple with distance
= spacer
sleeve radius
force in bolt due to M
0
0 22.2 lb
Total tension in bolt, P'T
17.7
14.0 33.7 lb
Stress ratio = P/T/450 + PS/750 =
* Female anchors not rated for shear loads.
450 >=
P'T; OK
450 >=
P'T; OK
450 >=
P'T; OK
750 >= PS;
OK
750 >= PS;
OK
750 >= PS;
OK
0.05
0.04
0.08
<=1.00; OK
<=1.00; OK
<=1.00; OK
4 of 4 2/10/17