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Solcius Job # P-171300-21 Prepared by Nathan Grinwis

April 3, 2021

License Expires 12.31.21

4955 Luna Dr Oceanside, CA

I have examined the existing Truss framing with 2 x 4 rafters @ 24 inches on center spanning 8 feet that support the roof of this structure. I have performed structural calculations finding the framing to be adequate for gravity and uplift loads applied to the roof by the solar panels, including snow loads applied as point loads to the roof framing, where applicable. The attachments and railing are also adequate without reinforcement for the loads imposed when installed with the attachment spacing shown in the drawings. We recommend the attachments be staggered as shown in the drawings to avoid overloading the rafters.

Solar Panel Addition for:

Structural Analysis Report

Zapata Residence

Structural Calculations Rev 7.00 1/6/17

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Table of Contents

General Notes 3

Project Data 4

Dead Loads 5

Live Loads 6

Gravity Load Increase 6

Lateral Force Increase 6

Solar Panel Support Frame 7

Wind uplift on Mounting System 7

Lateral Forces Analysis 8

Roof Framing Analysis 9

Snow Load Calculations N/A

References

Attachment Pull-out Capacity R- 1

The following reference sheets are attached and inserted behind construction plans.

•Solar Panel Characteristics

•Mounting System Specifications

•Rail Specifications

Drawings

Roof Plan PV- 02

Attachment Spacing PV- 05

Racking Elevation PV- 08

Job # P-171300-21 Zapata Residence April 3, 2021

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General Notes

1) These structural calculations are not intended to be applicable for non-structural items including, but not limited to, electrical, waterproofing, or drainage.

2) All construction methods and materials shall comply with the building code listed in the design criteria.

Structural Calculations Rev 7.00 1/6/17 Page 3

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Job # P-171300-21 Zapata Residence April 3, 2021

Project Data

Project Location Oceanside, CA Design Criteria:

Building code: 2019 CBC

Design Specifications: ASCE 7-16, NDS 2018, AISC 2016

Roof snow load on solar panel 0.0 psf See snow load calcs supplement Roof snow without solar panel 0.0 psf

Risk category II

Design wind speed Vult 96 mph

Wind exposure C

Roof angle θ 16.0 deg.

Roof zone 2

Interior component GCpi +/- 0.18 Seismic design criteria

Existing residence

Roof area 2696.0 sf Eave to ridge distance 17.33 ft

Roof rise 3.4 :12 Ridge height 17.0 ft

Eave height 12 ft Mean roof height hr 14.5 ft

Roof structure: Truss

Roof material: Asphalt Shingle Proposed PV system

Solar panels: Aptos 400

Solar panel rail system: SnapNrack UR-40 Mounting System: SnapnRack Speedseal Attachment screws: (1) 4-1/2" x 5/16" lag screw

Lateral analysis is based on percentage of weight added to main force resisting system and is independent of seismic force parameters. Per 2015 IEBC

§1103.3 existing design does not require retrofitting if added weight is less than 10% of original weight.

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Dead Loads

PV System

Panel wt 51.4 lbs

Panel frame wt 5.2 lbs

Conductor wt 3.0 lbs

Total weight 59.6 lbs

Width 39.7 in.

Length 79.1 in.

Panel area 21.8 sf

Panel dead load 2.73 psf

Roof Type wt

Covering Asphalt Shingle 5.4 psf

Sheathing 7/16" OSB (See Note) 1.8 psf assumes weight of heavier

Roof framing 1.0 psf plywood for purposes of

Roof load 8.2 psf checking the framing

Ceiling Joists 0.0 psf

Mechanical, Insulation 0.0 psf

Ceiling 5/8"gypsum 2.8 psf

Ceiling load 2.8 psf

Total roof and ceiling load 11.0 psf

Floor Type wt

Covering Carpet & pad 2.0 psf

Underlayment 3/4" Plywood 2.5 psf

Framing 10.0 psf

Mechanical / Electrical 2.0 psf

Ceiling 5/8" gypsum 2.8 psf

Other 0.7 psf

Floor dead load 20.0 psf

Walls Type wt

Covering Stucco 10.0 psf

Sheathing 3/8" plywood 3.0 psf

Insulation 1.0 psf

Framing per 1' of rafter 1.1 psf

Interior surface 5/8" gypsum 3.0 psf

Wall dead load 18.1 psf

Structural Calculations Rev 7.00 1/6/17 Page 5

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Job # P-171300-21 Zapata Residence April 3, 2021

Live Loads

Roof snow load S 0.0 psf

Roof live load Lr 20.0 psf Cd = 1.25

Governing load 20.0 psf Live load governs, based on max (load/Cd)

Snow load on panel 0.0 psf

Gravity Load Increase

Rafters

Rafter length 17.33 ft.

Rafter spacing 24 in. on center

Roof area trib to rafter 34.7 sf

Original roof load 284 lbs Dead load only

Panel trib width to rafter 24 in.

# Panels on rafter (portrait) 1

# Panels on rafter (landscape) 0 Panel area trib to rafter 13.2 sf

Added weight 36 lbs

% Load increase 12.7%

IEBC §1103.1

Lateral Force Increase

Roof trib area to MFRS 1300 sf Interior wall trib to MFRS 0 sf

Floor trib area to MFRS 0 sf Interior wall weight 8 psf

Wall trib area to MFRS 251 sf Interior wall wt to MFRS 0.0 kips Roof wt tributary to MFRS 14.3 kips

Floor wt tributary to MFRS 0.0 kips Wall wt tributary to MFRS 4.5 kips

Original wt to MFRS 18.8 kips

# PV panels trib to MFRS 11.00 panels

PV system weight 0.7 kips

% weight increase 3.5%

IEBC §1103.2

FURTHER ANALYSIS REQUIRED (see page 9)

Lateral force increase <10%, existing MFRS is O.K.

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Solar Panel Support Frame

Maximum span length 48 in

Rail span 48 in

The mounting system is adequate for the proposed fastener spacing.

Wind uplift on Mounting System

Governing Load Case: 0.6D + 0.6W (ASD Load Case 7, ASCE 7-16 §2.4.1) Attachment spacing Sattach 48 in.

Attachment spacing Sperp 39 in.

Mounting point trib area Atrib 13.0 sf Atrib = Sattach Sperp

Pressure Coeff. GCp (up) -2.8 psf ASCE 7-16 29.4.4, fig. 30.3-2B, zone 2r

Array edge factor γE 1.5 ASCE 7-16 29.4.4

Pressure equal. factor γa 0.4 ASCE 7-16 fig. 29.4-8 Velocty Pressure Coeff. (qh) 23.7 ASCE 7-16 29.4.4

Array trib area 102.9 sf = module area * # modules in array

Mean roof height hr 14.5 ft

Bldg ht adjust factor λ 1.00 N/A, used only in ASCE 7-10 Topographic factor Kzt 1.0 ASCE 7-16, Figure 26.8-1 Design wind pressure P -40.3 psf ASCE 7-16, Eqn. 29.4-7

Dead load 2.7 psf

Wind load -40.3 psf

Net Uplift (0.6D + 0.6W) 22.6 psf (upward)

Uplift on attachment Puplift 293 lbs Puplift = Net Uplift Atrib

Attachment screws used: Use (1) 4-1/2" x 5/16" lag screw

Min. embedment depth 3.0 inches

Pull-out capacity per inch 133 lbs Pull-out capacity per manufacturer, see page R-1

Tensile capacity 399 lbs

Attachment is O.K.

SnapNrack Bin span charts, Exp. C, 96 mph, zone 2, UR-40 rail0 psf snow,see allowable rail span chart.

Attachment spacing is O.K.

Structural Calculations Rev 7.00 1/6/17 Page 7

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1555 Freedom Blvd Provo, UT 84604 Phone: 844.357.2258

Email: [email protected]

Lateral Force Supplement

Lateral wind force

ASCE 7-16 Fig. 28.5-1 Exposure C, wind category II

Surface Ps30 Area I wind λ force

A 17.5 psf 0 sf 1 1.21 0.00 k

B -9.1 psf 0 sf 1 1.21 0.00 k

C 11.6 psf 0 sf 1 1.21 0.00 k

D -5.4 psf 0 sf 1 1.21 0.00 k

Total lateral wind force 0.00 k

Seismic force

Original weight: 18.836907

PV system weight: 0.6556

Total 19.49 k

Site class D

S1 0

Sds 0

Sd1 0

Seismic Design category: A

Shear resistant construction type: Wood shear walls with wood sheathing Response Modification Coefficient R 6.5 ASCE 7-16 Table 12.2-1 Assumes short structure (1-2 stories), hn < 30', T = 0.38s < TL, also assumes ρ = 1.4

Importance Factor Ie 1

Cs 0.000 ASCE 7-16 12.8-2

Cs Max 0.000 ASCE 7-16 12.8-3

Cs Min 0.000 ASCE 7-16 12.8-4,5

Seismic response coeff. Cs 0.000 Seismic Force E = ρ Cs W 0.00 k

Seismic force less than wind + 10%, existing structure O.K.

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Existing Rafter Analysis

Beam properties, size, spacing and span Douglas fir-larch #1 & BTR assumed

Rafter span L 8.00 feet

Rafter spacing 24 inches

Rafter size 2 x 4 Additional point loads may be considered - see Section modulus 3.06 in3 next sheet, "Point Loads for Rafter Analysis"

Allowable stress Fb 1200 psi

Size factor CF 1.50

Repetitive use factor Cr 1.15 Cd shown for individual load cases below All other adjustment factors = 1

Loads on roof and solar panels

Roof dead load 8.2 psf

Panel dead load 2.73 psf

Roof live load 20.0 psf

Wind uplift -39.3 psf

Wind downforce 16.0 psf

Snow load on panels 0.0 psf Assumes slippery panels

Snow load on roof, no panels 0.0 psf Assumes non-slippery roof (except metal roofs)

Loads prior to installation: w (plf) Cd w/Cd Point loads from solar not applied prior to install

D + Lr 56.4 1.25 45.1 45.1

0.6 D + 0.6 W up -37.3 1.60 -23.3 23.33039

D + 0.6 W dn 35.6 1.60 22.3 22.3

D + S 16.4 1.15 14.3 14.3

D + Lr 56.4 1.25 45.1 Governing load case is determined by max w/Cd

Total load before install: 451 lbs =wL Rafter end conditions Continuous at one end

Moment at center span 361 ft lbs = wL^2 / 10 Check member for adequacy prior to install:

Stress (=(M/S)*12"/ft): 1416 psi O.K.

Adjusted allowable stress F'b 2588 psi = Fb * adjustment factors given above

Loads after install

Point loads applied from solar panels - where the point load is outside the span, load = 0

Beam Load Diagram

w2 P3 P1 P2 w2

w1

X1 X2 X3 X4

L/2 L/2

Structural Calculations Rev 7.00 1/6/17 9

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Job # P-171300-21 Zapata Residence April 3, 2021

Points listed as "staggered" are on a different rafter, and therefore have no load applied

Point load

load location on rafter

span (ft) trib (sf) D + Lr

0.6 D + 0.6

W up D + 0.6 W dnD + S

Moment (ft lbs)

1 4.0 13.0 35.5 -285.3 160.3 35.5 -1141.1

Staggered 7.2 0.0 0.0 0.0 0.0 0.0 0.0

3 0.0 0.0 0.0 0.0 0.0 0.0

Staggered 0.0 0.0 0.0 0.0 0.0 0.0

5 0.0 0.0 0.0 0.0 0.0 0.0

Staggered 0.0 0.0 0.0 0.0 0.0 0.0

7 0.0 0.0 0.0 0.0 0.0 0.0

Staggered 0.0 0.0 0.0 0.0 0.0 0.0

9 0.0 0.0 0.0 0.0 0.0 0.0

Staggered 0.0 0.0 0.0 0.0 0.0 0.0

11 0.0 0.0 0.0 0.0 0.0 0.0

Staggered 0.0 0.0 0.0 0.0 0.0 0.0

13 0.0 0.0 0.0 0.0 0.0 0.0

Staggered 0.0 0.0 0.0 0.0 0.0 0.0

15 0.0 0.0 0.0 0.0 0.0 0.0

Staggered 0.0 0.0 0.0 0.0 0.0 0.0

Distributed loads on rafter span where not covered by solar panels

w1 1.4 5.7 159.8 -105.8 100.9 46.5 -149.8

w2 8.0 0.0 0.0 0.0 0.0 0.0

Roof dead load 4.0 0.0 0.0 0.0 0.0 0.0

Governing load case 0.6 D + 0.6 W up

Total load (lbs) -391 195 -391 261 82 -1291

Cd 1.60 1.25 1.60 1.60 1.15

Load/Cd 244 156 244 163 71

Reaction on right -161 lbs = moment / rafter span Reaction on left -230 lbs = total load - reaction on left

Max moment -645 ft lbs

Reduced moment -538 ft lbs Applies reduction in moment due to continuity.

Stress (=M/S/12"/ft): 2109 psi O.K.

Adjusted allowable stress F'b 3312 psi =Fb * adjustment factors above.

= reaction on left * span/2 - sum (moments from point loads left of center)

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Attachment Pull-out Capacity

R- 1

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R- 2

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References

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