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HomeMy WebLinkAboutDESIGN CALCULATIONSEasySeals easyseals.com SCANNED BY St. Lucie County DESIGN CALCULATIONS FOR REVIEWED (O A CODE r ;iilMP I,.+r,CS Sr,LUCRE COUNTY iY .rl 1 COURTYARD BY MARRIOTT FREESTANDING SIGNS 10928 S AlA —Jensen Beach 1. Design is in accordance with the Florida Building Code 6th Edition (2017) for use within and outside the High Velocity Hurricane Zone (HVHZ). 2. Wind loads have been calculated per the requirements of ASCE 7-10 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) is assumed to be in good condition, capable of supporting the loaded system, subject to building department approval. 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. S. Where site conditions deviate from those noted herein, revisions maybe 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 2015 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. Al, indemnifies and saves harmless this engineer for all costs & damages including legal fees & apellate fees resulting from deviation from this design. Index: Pg 1 Cover Pg 2 Wind Loads Pg 3 Footing Design Pg 4 Primary Support(s) 1200 N Federal Hwy, #200 Boca Raton, FL33432 Easy Seals .com Page i Easy' seals CALCULATIONS FOR FREESTANDING SIGNS ASCE 7-10 Design Wind Loads FREESTANDING SOLID SIGNS AND WALLS (AT GRADE) Building Specs V = 150 mph Basic wind speed Exposure D Calculations a=11.5 3-sec gust speed power law exponent k = 700' Nominal ht. of atmos. boundary layer G = 0.85 ' 150 mph - UP "D" Monuments at grade W/Ht Ratio 5 0.5 DESIGN SIGN WIND HEIGHT PRESSURES 15 ft t 39.9 psf ± 41.2 psf 18 ft 20 ft' ± 41.9 psf 30'ft ± 45.0 psf 35 ft ± 46.2 psf 40 ft ± 47.3 psf 45 ft ± 48.3 psf 50 ft ± 49.2 psf 55 ft ± 50.0 psi 60 ft ± 50.7 psf 70 it ± 52.1 psf 80ft ± 53.3 psf 90 ft ± 54.5 psf 100 ft ± 55.5 psf 110 ft ± 56.4 psf 120 ft ± 57.2 psf 130 ft + 58.0 psf 140 ft ± 58.8 psf 150 ft ± 59.5 psf 175 ft ± 61.1 psf 200 ft ± 62.6 psf 250 ft ± 65.0 psf Risk Category 1 Structure ASD Load Combo Coeff: D.6 Y n Y q. 1.03 30.3 1.06 31.2 1.08 31.8 1.16 34.1 1.19 35.1 1.22 35.9 1.25 36.6 1.27 37.3 1.29 37.9 1.31 38.5 1.35 39.6 1.38 40.5 1.41 41.3 1.43 42.1 1.46 42.8 1.48 43.4 1.50 44.1 1.52 44.6 1.54 45.2 1.58 46.4 1.62 47.5 1.68 49.4 Kd= 0.85 Directionalityfactor Kzt= 1.0 Topographicfactor Cf= 1.55 Force Coefficient ...Width/Heightratio z0.5 Page 2 eEass Seals CALCULATIONS FOR FREESTANDING SIGNS Footing Design for Freestanding Signs Structure Dimensions & Loading Design wind pressure: P = Overturning Safety Factor: O = Sign area 1: A1= Height of applied force above grade: h1= Sign area 2: A2 = Height of applied force above grade: h2 = Overturning Moment: (Sq /� Rect i Footing dimensions: Footing depth: Superstructure weight: Soil cover weight: Footing weight: Total weight: 39.9 1.5 ... FBC 1807.2.3 U 9E CO YY• l . 86.7 jsq ft ... tributary area 1 for each Tooter (e.g. sign) 4.3 ft ... height of area 1 centroid 0_0 sq ft ... tributary area 2 for each footer (e.g. post) 0:0 ft ... height of area 2 centroid Mn = P*(A1*hl+A2*h2) Mn = 15.0 kip-ft ft d = 3 ft Dr=[ 200 lb Ds = 1200 lb Df = 10800 lb D = 12200 lb Soil Strength ...FBC Tables 1806.2, 1819.6 Soil class: 4. Sand,silty sand, silty gravel j Lateral bearing strength: Plat = 150 psf/ft Vertical bearing strength: Pbrg = 2000 psf Check Vertical Soil Bearing Pressures e = 1.23 ft ... = (P)*(Al*hl+A2*h2) / D qtoe = D*(1+e)/(B*L) qtoe = 977 psf Resisting moment due to Dead Load: My = D* B/2 My = 48.8 L= ft Soil cover: ds =1 0..5 —eft ... = 100pcf*B*L*ds ... = 150pcf*B*L*d ...=Dr+Ds+Df ...reaction below footer at toe kip-ft Total Resisting Moment: Mtot = My / () Mot = 32.5 kip-ft ... 5 B/6 qtoe < Pbrg OK Mtot>Mn OK Page 3 iEasySeals CALCULATIONS FOR FREESTANDING SIGNS REVIEWED FOR • Hollow Structural Rectangular Tubing in BendingCODE COMPLIANCE Allowable Stress Design per 2010 AISC Spec for Structural Steel Buildings STa LUCIE COUNTY BO Material Properties Yield Stress, A500 Grd B Steel: Fy = 46 ksi T^ 4 Safety Factor = 1.67 Per section a3.4 Modulus of Elasticity: E =L 29000 ksi Member Properties Flange: b = 6 in Moment of Inertia: Ix = 29.8 in' Flange Thickness: tf = 1/4" = 0.233" Section Modulus: S = 9.9 in' Web: d = 6 in Deflection Limit: DO = EiT80 Web Thickness: tw = 1/4" = 0.233" End Supports: Cantilever Design wind pressure: P = . 39.9 psf Sign area: Al = 86.7 sq ft ... tributary area for each post (e.g. sign+post) Eccentricity of applied force: el = 4.3 Ift ... distance to area centroid (weighted avg hl,h2) Unbraced Length: Lc= 4.3 ft Check for Limiting Width -Thickness Ratios (Compact/Noncompact, per Table 84.1) Flanges Webs b/t = 23.8 = (b-2*t2)/t1 d/t = 23.8 = (d-2*t1)A2 1.12*V(E/Fy) = 28.1 Flange Compact Limit 2.42*V(E/Fy) = 60.8 Web Compact Limit 1.40*V(E/Fy) = 35.2 Flange NonCompact Limit 5.70*V(E/Fy) = 143.1 Web NonCompact Limit Flanges are compact Webs are compact (1): Yielding Limit State This criteria applies to all members, compact and noncompact Mn = Fy*S Mallow = Mn / 1.67 Mn= 456.7 kip -in Mallow = 273.5 kip -in Check Member Bending Allowable Moment: Mn = 273.S kip -in Minimum of Mallow values above Moment in member: Check Member Deflection: Allowable Deflection: Deflection in member: Mmax= P*A1*el Mmax = 179.8 kip -in hallow= 0.65 in Amax= P*(A*e"3) / (3*E*I) Amax = 0.19 in L/80 Mmax < Mn ... OK Amax < hallow ... OK Page 4