HomeMy WebLinkAboutDESIGN CALCULATIONL I r boy. 08M
—
•y , t�� as /�
ks
easyseals.com
RECEIVED
MAY 0 5 2016
PEPJ�%TTING
St. Lucie County, n
DESIGN CALCULATIONS
FOR SCANNED
BY
RAYMOND GREGG St. Lucie County
RAYMOND'S PLAZA
FREESTANDING SIGNS
Midway Rd — Ft Pierce
1. Design is in accordance with the Florida Building Code Sth Edition (2014) for use
within and outside the High Velocity Hurricane Zone (HVHZ). FILF
2. Wind loads have been calculated per the requirements of ASCE 7 30 as shown
herein, except where noted otherwise.
3. These engineering calculations pertain only to the structural integrity of those .
systems, components, and/or other construction explicitly specified herein and/or
in accompanying engineering drawings. The existing host structure (if any) must
be capable of supporting the loaded system as verified by building department or
architect / engineer of record. No warranty, either expressed or implied, is
contained herein.
4. System components shall be as noted herein. All references to named
components and installation shall conform to manufacturer's or industry
specifications as summarized herein.
5. Where site conditions deviate from those noted herein, revisions may be required
or a separate site -specific engineering evaluation performed.
6. Aluminum components in contact with steel or embedded in concrete shall be
protected as prescribed in the 2010 Aluminum Design Manual, Part 1-A. Steel
components in contact with, but not encased in, concrete shall be coated, painted,
or otherwise protected against corrosion.
7. Engineer seal affixed hereto validates structural design as shown only. Use of this
specification by contractor, et. AI, indemnifies and saves harmless this engineer for
all costs & damages including legal fees & apellate fees resulting from deviation
f,nm fhic r4.cion
Index:
Pg 1
Cover
Pg 2
Wind Loads
Pg 3
Footing Design
Pg4
Primary Support(s)
Pg 5-6
Cast -In Anchor Bolts
.pnuiur..,
Engneestrgrtr�e�hcl seal valid
P"p�a `troug s�
No. 773 2'
Easy Seals.;,;;,
COT
# 67382
# 31124
Federal Hwy, g200 Seaii5 ,cool Page 1
Bocaoca Raton,
Easy ton, FL 33432 7
_, = CALCULATIOhl' :OR FREESTANDING SIGNS
_
_.�� �as1 SeaLS
earysealimm
ASCE 7-10 Design Wind Loads
FREESTANDING SOLID SIGNS AND WALLS (AT GRADE)
Building Specs
V = 156 mph Basic wind speed
Exposure C
Calculations
a= 9.5 3-sec gust speed power law exponent
zg = 900, Nominal ht. of atmos. boundary layer
G = 0.85
156 mph
-
Exp "C"
Monuments at grade
W/Ht Ratio 5 0.5
DESIGN
SIGN
WIND
HEIGHT
PRESSURES
15 It
+
35.5 psf
18 It
+
36.9 psf
20 ft
+
37.8 psf
30 ft
±
41.1 psf
35 ft
±
42.5 psf
40 ft
+
43.7 psf
45 ft
±
44.8 psf
50 ft
±
45.8 psf
55 ft
+
46.7 psf
60 ft
+
47.6 psf
70 ft
±
49.1 psf
80 ft
±
50.5 psf
90 ft
±
51.8 psf
100 ft
±
53.0 psf
110 ft
±
54.1 psf
120 ft
±
55.1 psf
130 ft
±
56.0 psf
140 It
+
56.9 psf
150 ft
±
57.7 psf
175 It
±
59.6 psf
200 ft
±
61.3 psf
250 ft
±
64.3 psf
Risk Category 1 Structure
ASD Load Combo Coeff: 0.6
n
Y
tlz
0.85
27.0
0.88
28.0
0.90
28.7
0.98
31.2
1.01
32.2
1.04
33.2
1.07
34.0
1.09
34.8
1.12
35.5
1.14
36.1
1.17
37.3
1.21
38.4
1.24
39.3
1.27
40.2
1.29
41.0
1.32
41.8
1.34
42.5
1.36
43.2
1.38
43.8
1.42
45.2
1.46
46.5
1.53
48.8
Kd = 0.85
Kzt = 1.0
Directionalityfactor
Topographicfoctor
Cf = 1.55 Force Coefficient
...Width /Height ratio >_ 0.5
Page 2
r
/J Easy. Seals CALCULATION - "OR FREESTANDING SIGNS
Footing Design For Freestanding Signs and Flagpoles
Structure Dimensions & Loading
Design wind pressure:
P =
35.5
psf
Overturning Safety Factor:
Q =
1.5
... FBC 1807.2.3
Sign area 1:
A1=
47.4
sq ft
... tributary area 1 for each footer (e.g. sign)
Height of applied force above grade:
h1=
2.8
ft
... height of area 1 centroid
Sign area 2:
A2 =
0.0
sq ft
... tributary area 2 for each footer (e.g. post)
Height of applied force above grade:
h2 =
0.0
ft
... height of area 2 centroid
Overturning Moment:
Mn =
P*(A1*h1+A2*h2)
Mn =
4.7
kip-ft
Round Footing Diameter:
B =
3
ft
Footing depth:
d =
4.67
ft
Soil cover: ds = 0 ft
Superstructure weight:
Dr=
200
lb
Soil cover weight:
Ds =
0
lb
... = SOOpcf*n*B42/4*ds
Footing weight:
Df=
4952
lb
... =150pcf*n*B^2/4*d
Total weight:
D=
5152
lb
... =Dr+Ds+of
Soil Strength ...FBC Tables 1805.2, 1819.6
Soil class: 4. Sand, silty sand, silty gravel
Lateral bearing strength: Plat = 150 psf/ft
Vertical bearing strength: Pbrg = 2000 psf
Check Lateral Soil Bearing Pressures (Empirical Method) ...FBC Sect 1807.3.2.1
Unconstrained (No rigid floor or pavement at ground surface)
Allowable lateral soil bearing pressure at 1/3 depth:
S1= 2*Plat * (d+ds)/3
S1= 467 psf
Total applied lateral load: Ptot = 1.69 kips
Equiv ht of applied load: heq = 2.79 ft
As= 2.34*Ptot/(S1*B)
As = 2.8 ft
dreq = As/2 * [ 1+V(1+4.36*heq/As) )
dreq = 4.65 ft
Page 3
'J CALCULATI
���� ��q� ON'
ALUMINUM DESIGN MANUAL
Specifications for Aluminum Structures (Buildings)
Design Check of 6.625" o x 0.28" Aluminum Pipe
Alloy: 6061 Temper: T6
SECTION PROPERTIES
d
t
Ix
ly
Sc
rx
ry
l
A
MATERIAL PROPERTIES
Ftu
24 ksi
Fty
15 ksi
Fcy
15 ksi
Fsu
15 ksi
E
10,100 ksi
6.625"
0.28"
28.14 inA4
28.14 inA4
8.50 inA3
2.25 in
2.25 in
56.28 inA4
5.58 inA2
Welded: y
-OR FREESTANDING SIGNS
Outer Diameter
Thickness
Moment of Inertia about axis parallel to flange
Moment of Inertia about axis parallel to web
Section modulus, compression side (about X-axis)
Radius of gyration about centroidal axis parallel to flange
Radius of gyration about centroidal axis parallel to web
Torsion constant
Cross sectional area of member
Tensile ultimate strength
Tensile yield strength
Compressive yield strength
Shear ultimate strength
Compressive Modulus of Elasticity
STRESSES
Fb = 9.90 ksi
Fac = 6.94 ksi
MEMBER LOADING
Design wind pressure:
Sign area 1:
Eccentricity of applied force:
Sign area 2:
Eccentricity of applied force:
Bending Moments
Mz 4.7 kip-ft
fb = 6.64 ksi
Fb = 9.90 ksi
Allowable bending stress
Allowable axial stress, compression.
P=
Al
e1=
A2 =
e2 =
35.5
47.4
2.8
0.0
0.0
Bending momemt developed in member
Bending stress developed in member
Allowable bending stress of member.
psf
sq ft
ft
sq ft
ft
... tributary area 1 for each post (e.g. sign)
... distance to area 1 centroid
... tributary area 2 for each post (e.g. post)
... distance to area 2 centroid
IIma= Z01 kip ft
fb < Fb OK
'FILEpy
.
t
Page 4
;`sySeals CALCULATIOP
eagle K.s
Cast -in -Place Concrete Anchor Bolts
ACI 318-11, Appendix "D"
Required Strength:
Wind pressure: W = 35.5 psf
Dead load: D = 0 lb
ASCE 7-10, 2.3.2: U= (1.2) D + (1.0)W
Tributary area:
Load eccentricity:
Mu = 4.70 kip-ft
=OR FREESTANDING SIGNS
A = 47.4 sqft
e = 2.8 ft
... _ [(1.2)D+(1.o)w]*A*e
Anchor & Concrete Specs:
Concrete:
Pc =
2500
psi
Anchor bolt size: 5/8" da =
0.625 in
nt =
11
threads/in
Anchor material: SAE Grade 2 / A307
futa =
74
ksi
Embedment: hef= 16 in
Edge distance:
ED =
13.5
in
City anchors in group: Q = 2 anchors
Anchor group offset:
a =
9
in
Anchor Strength:
Tension: U <_ 0.75 (� Nn
Steel Strength:
Ase = 7c/4*(da-0.9743/nt)2
Ase = 0.23 in
Concrete Breakout:
Anc= [ED+s+1.5*hef]*[ED+1.5*hef]
Anc = 1406 in'
Nb = kc*h*Vf'c*hefA1.5
Nb = 76.8 kips
limit=16*A-11fc*heP(513) = 81.3kips
kc = 24 ...cast -in anchors
h = 1.0 ... normal weight concrete
Concrete breakout strength:
Steel:
Conc, no suppl reinf:
Nsa = Ase*futa
Nsa = 16.7 kips
4)s = 0.75
coc = 0.70
dts*Nsa = 12.5 kips
Anco = 9*hefA2
Anco = 2304 in
Cracked Concrete: Wc= 1.0
Cast -in -anchors: Wcp= 1.0
Wed = 0.7+0.3*ED/(1.5*hef) Wed = 0.87
No eccentricity between anchors: Wec = 1.0
Ncb= (Anc/Anco)*Wc*Wcp*Wed*Wec*Nb
Ncb = 40.7 kips (Oc*Ncb = 28.5 kips
Concrete Pullout:
Hooked Bar / Stud: Hook length: eh = 4.25 in
da
Np = 0 9 6.0*eh*kips Cracked Concrete: Wc,p = 1.0 —� LE
Concrete pullout strength: Npn = Wc.p*Nps,
Npn = 6.0 kips cbc*Npn = 4.2 kips
Page 5
1 �
Easy.Seals
Concrete Blowout:
Hooked Bar/Stud
Concrete blowout strength:
Critical Anchor Strength:
(�Nn = min((ts*Nsa,4)c*Ncb,4)c*Npn,(tc*Nsb)
coNn = 4.2 kips
CALCULATIOI'. FOR FREESTANDING SIGNS,
Nsb = N/A (No headed stud)
Nsb = N/A 4)c*Nsb = N/A
(�Mn = Q*(ONn*a
cl�Mn = 6.3 kip-ft
Mu 5 0.75 4) Mn
4.70 kip-ft < 4.7 kip-ft OK
Page 6