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HomeMy WebLinkAboutDESIGN CALCULATIONSee✓�� cYr SCANNED BY St. Lucie Countv GENERAL NOTES: peals easyseals.com DESIGN CALCULATIONS FOR FLORIDA TURNPIKE FREESTANDING SIGNS Port St Lucie, FL 1. Design is in accordance with the Florida Building Code 5th Edition (2014) 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 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. Al, indemnifies and saves harmless this engineer for all costs & damages including legal fees & nnallatp fppc rocultina frnm 1.vA.ti.n frnm thic rlpcion Index: Pg 1 Cover Pg 2 Wind Loads Pg 3 Footing Design Pg 4-5 Primary Support(s) ,U,n„nq, lgi a � lew °ahseal valid V fe,,� ..L'y N3 *1I/ :* ChYfSj�efVR��# 67352 w Easy "Ruth # 31124 Federal Hwy, t1200 Sealts .com Page 1 Bocaoca Raton, Easyton, FL33432 1 `auyaCALCULATION'_ 'OR FREESTANDING SIGNSCOD-)EasySeaLs li ASCE 7-10 Design Wind Loads FREESTANDING SOLID SIGNS AND WALLS (AT GRADE) Building Specs V = 150 mph Basic wind speed Fxposure C Calculations a=9.5 3-sec gust speed power law exponent zs = 900' Nominal ht. of atmos. boundary layer G = 0.85 150 mph - UP "C" Monuments at grade W/Ht Ratio 5 0.5 DESIGN SIGN WIND HEIGHT PRESSURES 15 ft ± 32.9 psf 18 ft ± 34.1 psf 20 ft + 34.9 psf 30 ft ± 38.0 psf 35 ft ± 39.3 psf 40 ft ± 40.4 psf 45 ft + 41.4 psf 50 ft + 42.3 psf 55 ft + 43.2 psf 60 ft + 44.0 psf 70 ft ± 45.4 psf 80 It + 46.7 psf 90 ft ± 47.9 psf 100 ft ± 49.0 psf 110 ft + 50.0 psf 120 ft + 50.9 psf 130 ft + 51.8 psf 140 ft + 52.6 psf 150 ft + 53.3 psf 175 ft ± 55.1 psf 200 ft + 56.7 psf 250 ft ± 59.4 psf Risk Category 1 Structure ASD Load Combo Coeff: 0.6 N Y n t Y 4 � 0.85 24.9 0.88 25.9 0.90 26.5 0.98 28.9 1.01 29.8 1.04 30.7 1.07 31.4 1.09 32.1 1.12 32.8 1.14 33.4 1.17 34.5 1.21 35.5 1.24 36.4 1.27 37.2 1.29 37.9 1.32 38.6 1.34 39.3 1.36 39.9 1.38 40.5 1.42 41.8 1.46 43.0 1.53 45.1 Kd = 0.85 Directionalityfactor Kzt = 1.0 Topographic factor Cf = 1.55 Force Coefficient ...Width /Height ratio >_ 0.5 Page 2 0 EdsySeaL5 CALCULATIOI` :OR FREESTANDING SIGNS Footing Design for Freestanding Signs and Flagpoles Structure Dimensions & Loading Design wind pressure: P = Overturning Safety Factor: Q = Sign area 1: Al = Height of applied force above grade: hl = Sign area 2: A2 = Height of applied force above grade: h2 = Overturning Moment: 32.9 psf 1.5 ... FBC 1807.2.3 46.0 sq ft ... tributary area 1 for each footer (e.g. sign) 3.8 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*(Al*h1+A2*h2) Mn = 5.8 kip-ft Sq / Rect Footing dimensions: B = 3.5 ft Footing depth: d = 2.5 ft Superstructure weight: Dr= 200 lb Soil cover weight: Ds = 404 lb Footing weight: Df = 4594 lb Total weight: D = 5198 lb Soil Strength ...FBC Tables 1806.2,1819.6 Soil class: 4. Sand, silty sand, silty gravel Lateral bearing strength: Plat = 150 psf/ft Vertical bearing strength: Pbrg = 2000 psf Check Vertical Soil Bearing Pressures e= 1.12 ft ... = (P)*(Al*hl+A2*h2) / D gtoe= 2*D/[3*L*(B/2-e)) qtoe = 1560 psf Resisting moment due to Dead Load: My = D*13/2 My = 9.1 L = 3.5 ft Soil cover: ds = 0.33 ft ... = 100pcf*B*L*ds ... = 150pcf*B*L*d ...=Dr+Ds+of ...reaction below footer at toe kip-ft Total Resisting Moment: Mtot = My / O Mtot = 6.1 kip-ft ... > B/6 qtoe < Pbrg OK Mtot>Mn OK Page 3 Ea seals CALCULATIOIS" "OR FREESTANDING SIGNS wysealsmm - Hollow Structural Rectangular Tubing in Bending Allowable Stress Design per 2010 AISC Spec for Structural Steel Buildings Material Properties Yield Stress, A500 Grd B Steel: Fy = 46 ksi Safety Factor = 1.67 Per section 83.4 Modulus of Elasticity: E = 29000 ksi Member Properties Flange: b = 4 in Moment of Inertia: Ix = 8.3 in Flange Thickness: tf = 1/4" = 0.233" Section Modulus: S = 4.2 in Web: d = 4 in Deflection Limit: Defl = L / 80 Web Thickness: tw = 1/4" = 0.233" Support type: Cantilever Design wind pressure: P = 32.9 psf Sign area 1: A1= 46.0 sq ft ... tributary area 1 for each post (e.g. sign) Eccentricity of applied force: e1= 3.8 ft ... distance to area 1 centroid Sign area 2: A2 = 0.0 sq ft ... tributary area 2 for each post (e.g. post) Eccentricity of applied force: e2 = 0.0 ft ... distance to area 2 centroid Unbraced Length: Lc= 3.8 ft Check for Limiting Width -Thickness Ratios (Compact/Noncompact, per Table B4.1) Flanges Webs b/t = 15.2 = (b-2*t2)/t1 d/t = 15.2 = (d-2*t1)A2 1.12*J(E/Fy) = 28.1 Flange Compact Limit 2.42*v(E/Fy) = 60.8 Web Compact Limit 1.40*J(E/Fy) = 35.2 Flange NonCompact Limit 5.70*J(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 Mn = 191.4 kip -in (2): Flange Local Buckling Limit State This criteria applies to sections with noncompact flanges Mn= Mp-(Mp-Fy*S)(3.57*b/tf*V(Fy/E)-4.0) Mn= 191.4 kip -in This criteria applies to sections with slender flanges be = 1.92*tf*V(E/Fy)*[1-0.38/(b/tf)*V(E/Fy)] be = 4.00 in Effective width of compression flange Seff= 4.2 in Effective section modulus (use be) Mn = Fy*Seff Mn = 191.4 kip -in Mallow= Mn/1.67 Mallow = 114.6 kip -in Mallow = Mallow = N/A N/A Page 4 FdsySeals CALCULATION' ,"OR FREESTANDING SIGNS eaV�m (3): Web Local Buckling Limit State This criteria applies to sections with noncompact webs Mn = Mp-(Mp-Fy*S)(0.305*h/tw*J(Fy/E)-0.738) Mn= 191.4 kip -in Check Member Bending Allowable Moment: Mn = 114.6 kip -in Moment in member: Mmax = P*(A1*e1+A2*e2) Mmax = 69.6 kip -in Check Member Deflection: Allowable Deflection: 0.58 in Mallow = N/A Minimum of Mallow values above L/80 Deflection in member: Amax= P*(A1*e1A3+A2*e2A3) / (3*E*I) Omax= 0.20 in Mmax < Mn ... OK Amax < Aallow ... OK Page 5