HomeMy WebLinkAboutSTRUCTURAL CALCULATIONS - 18-00121 - 129 Madison Ave - Solar Array___________________________________________________________________________________________
Domus Structural Engineering, LLC
P.O. Box 6986
Broomfield, CO 80021
530‐864‐7055
Domusstructural@gmail.com
To: Blue Raven Solar
1220 S. 630 E. Ste. 430
American Fork, UT. 84003
Subject: Certification Letter
Withers Residence
129 Madison Ave.
Rexburg, ID. 83440
To Whom It May Concern,
Design Criteria:
● Applicable Codes = 2012 IBC/IRC, ASCE 7‐10, and NDS‐12
● Roof Dead Load = 7 psf (MP1)
● Roof Live Load = 20 psf
● Wind Speed = 115 mph, Exposure C, Risk Category II
●
● Attachments: (1) 5/16" dia lag screw with 2.5" min embedment depth, at spacing shown above.
Sincerely,
John Calvert, P.E.
Project Engineer
March 8, 2018
The roof structure of (MP1) consists of composition shingle on roof plywood that is supported by pre‐manufactured trusses that
are spaced at @ 24"o.c.. The top chords, sloped at 18 degrees, are 2x4 sections, the bottom chords are 2x4 sections and the web
members are 2x4 sections. The truss members are connected by steel gusset plates. The max unsupported projected horizontal
top chord span is approximately 6'‐4''.
The existing roof framing system of (MP1) is judged to be adequate to withstand the loading imposed by the installation of the
solar panels. No reinforcement is necessary.
Ground Snow Load = 50 psf ‐ Roof Snow Load = 35 psf
The spacing of the solar standoffs should be kept at 48" o.c. for landscape and 48" o.c. for portrait orientation, with a staggered
pattern to ensure proper distribution of loads.
A jobsite observation of the condition of the existing framing system was performed by an audit team of Blue Raven Solar as a
request from Domus Structural Engineering. All review is based on these observations and the design criteria listed below and
only deemed valid if provided information is true and accurate.
On the above referenced project, the roof structural framing has been reviewed for additional loading due to the installation of
the solar PV addition to the roof. The structural review only applys to the section of the roof that is directly supporting the solar
PV system and its supporting elements. The observed roof framing is described below. If field conditions differ, contractor to
notify engineer prior to starting construction.
The scope of this report is strictly limited to an evaluation of the fastener attachment, underlying framing and supporting
structure only. The attachment's to the existing structure are required to be in a staggered pattern to ensure proper distribution
of loading. All panels, racking and hardware shall be installed per manufacturer specifications and within specified design
limitations. All waterproofing shall be provided by the manufacturer. Domus Structural Engineering assumes no responsibility for
misuse or improper installation of the solar PV panels or racking.
Please contact me with any further questions or concerns regarding this project.
Withers Residence, Rexburg, ID 1
____________________________________________________________________________________
Domus Structural Engineering, LLC
P.O. Box 6986
Broomfield, CO 80021
530‐864‐7055
Domusstructural@gmail.com
50 psf
(ASCE7 - Eq 7-1)
1 (ASCE7 - Table 7-2)
1 (ASCE7 - Table 7-3)
1
35.0 psf
(ASCE7 - Eq 7-2)
1
35.0 psf
3.0 psf
4.00 ft
2.67 ft
10.68 sft
32 lb
4.00
2.00
0.73
0.00 (Ceiling Not Vaulted)
0.27
7.0 psf
7.4 psf
Gravity Loading
PV System Weight
Weight of PV System (Per Blue Raven Solar)
X Standoff Spacing =
Y Standoff Spacing =
Note: PV standoffs are staggered to ensure proper distribution of loading
2x4 Top Chords @ 24"o.c.
I = Importance Factor =
Cs = Slope Factor =
Standoff Tributary Area =
ps = Cspf
ps = Sloped Roof Snow Load =
pf = Flat Roof Snow Load =
Roof Snow Load Calculations
pg = Ground Snow Load =
Ce = Exposure Factor =
pf = 0.7 Ce Ct I pg
Ct = Thermal Factor =
Roof Live Load = 20 psf
Roof Plywood
Roof Dead Load (MP1)
Composition Shingle
Note: Roof live load is removed in area's covered by PV array.
DL Adjusted to 18 Degree Slope
Point Loads of Standoffs
Miscellaneous
Vaulted Ceiling
Total Roof DL (MP1)
PV Dead Load = 3 psf (Per Blue Raven Solar)
Withers Residence, Rexburg, ID 2
___________________________________________________________________________________________
Domus Structural Engineering, LLC
P.O. Box 6986
Broomfield, CO 80021
530‐864‐7055
Domusstructural@gmail.com
115 mph
C
Gable/Hip
18 degrees
20 ft
19.3 ft
(Eq. 30.3-1)
0.9 (Table 30.3-1)
1 (Fig. 26.8-1)
0.85 (Table 26.6-1)
115 mph (Fig. 26.5-1A)
II (Table 1.5-1)
qh = 25.90
15.54
Zone 1 Zone 2 Zone 3 Positive
GCp = -0.86 -1.51 -2.37 0.42 (Fig. 30.4-1)
Uplift Pressure = -13.40 psf -23.47 psf -36.86 psf 11.0 psf
X Standoff Spacing = 4.00 4.00 2.67
Y Standoff Spacing = 2.67 2.67 2.67
Tributary Area = 10.68 10.68 7.12
Footing Uplift = -143 lb -251 lb -262 lb
Zone 1 Zone 2 Zone 3 Positive
GCp = -0.86 -1.51 -2.37 0.42 (Fig. 30.4-1)
Uplift Pressure = -13.40 psf -23.47 psf -36.86 psf 10.0 psf (Minimum)
X Standoff Spacing = 4.00 4.00 2.67
Y Standoff Spacing = 1.67 1.67 1.67
Tributary Area = 6.68 6.68 4.45
Footing Uplift = -89 lb -157 lb -164 lb
-262 lb
450 lb
Therefore, OK
Fastener =1 - 5/16" dia Lag
Number of Fasteners = 1
Embedment Depth = 2.5
Pullout Capacity Per Inch = 250 lb
Fastener Capacity = 625 lb
w/ F.S. of 1.5 & DOL of 1.6= 667 lb
Therefore, OK
Wind Calculations
Maximum Design Uplift =
Standoff Uplift Capacity =
450 lb capacity > 262 lb demand
Fastener Capacity Check
Standoff Uplift Check
Kz (Exposure Coefficient) =
Kzt (topographic factor) =
Kd (Wind Directionality Factor) =
V (Design Wind Speed) =
Risk Category =
qh = 0.00256 * Kz * Kzt * Kd * V^2
Wind Pressure P = qh*G*Cn
Exposure Category
Per ASCE 7‐10 Components and Cladding
Mean Roof Height
Roof Slope
667.2 lb capacity > 262 lb demand
0.6 * qh =
Standoff Uplift Calculations-Landscape
Input Variables
Wind Speed
Effective Wind Area
Design Wind Pressure Calculations
Roof Shape
Standoff Uplift Calculations-Portrait
Withers Residence, Rexburg, ID 3
___________________________________________________________________________________________
Domus Structural Engineering, LLC
P.O. Box 6986
Broomfield, CO 80021
530‐864‐7055
Domusstructural@gmail.com
(MP1)PASS
Dead Load 7.4 psf
PV Load 3.0 psf
Snow Load 35.0 psf
Governing Load Combo = DL + SL
Total Load 45.4 psf
Fb (psi) = f'b x Cd x Cf x Cr (NDS Table 4.3.1)
900 x 1.15 x 1.5 x 1.15
Allowed Bending Stress = 1785.3 psi
(wL^2) / 8
= 454.8624 ft#
= 5458.348 in#
Actual Bending Stress = (Maximum Moment) / S
= 1782.4 psi
L/180 (E = 1600000 psi Per NDS)
= 0.422 in
Deflection Criteria Based on =
(w*L^4) / (185*E*I)
=
= L/478 > L/180 Therefore OK
Allowed Deflection (Live Load) =L/240
0.316 in
(w*L^4) / (185*E*I)
L/618 > L/240 Therefore OK
Member Area = Fv (psi) = 180 psi (NDS Table 4A)
Allowed Shear = Fv * A = Max Shear (V) = w * L / 2 = 287 lb
Framing Check
2x4 Top Chords @ 24"o.c.
Member Span = 6' - 4"
5.3 in^2
Check Shear
w = 91 plf
(True Dimensions)
945 lb
Allowed > Actual -- 30.5% Stressed -- Therefore, OK
DF#2
Member Spacing
@ 24"o.c.
Maximum Moment =
Check Deflection
I (in^4)
5.36
Lumber Sp/Gr
Actual Deflection (Live Load) =
Allowed Deflection (Total Load) =
Actual Deflection (Total Load) =
Allowed > Actual -- 99.9% Stressed -- Therefore, OK
Member Properties
Member Size
2x4
S (in^3)
3.06
0.123 in
Check Bending Stress
Continuous Span
0.159 in
Withers Residence, Rexburg, ID 4
___________________________________________________________________________________________
_
Domus Structural Engineering, LLC
P.O. Box 6986
Broomfield, CO 80021
530‐864‐7055
Domusstructural@gmail.com
Level Area Weight (psf) Weight (lb)
Roof 2750 sf 7.4 psf 20241 lb
Ceiling 2750 sf 6.0 psf 16500 lb
Wood Siding 100 ft 5.0 psf 2000 lb (8'-0" Wall Height)
Int. Walls 100 ft 6.4 psf 2560 lb
41301 lb
3.0 psf
270 sf
810 lb
4130 lb
810 lb
2.0%
Lateral Check
4130 lb > 810 lb, Therefore OK
Per 2012 IBC Chapter 34
Existing Weight of Effected Building
Existing Weight of Effected Building
Proposed Weight of PV System
Weight of PV System (Per Blue Raven Solar)
Approx. Area of Proposed PV System
Approximate Total Weight of PV System
10% Comparison
10% of Existing Building Weight (Allowed)
Approximate Weight of PV System (Actual)
Percent Increase
Withers Residence, Rexburg, ID 5