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HomeMy WebLinkAboutDESIGN CALCULATIONSDESIGN CALCULATIONS FOR BEACH FRONT MANN REALTY FREESTANDING SIGN 10535 S Ocean Dr – Jensen Beach Index: Pg 1 Cover Pg 2 Wind Loads Pg 3 Footing Design Pg 4 Primary Support(s) PE # 67382 Easy Seals Cert Auth # 31124 Engineer's signature and seal valid for pages 1 through 4 Jan 26 2022 Christian Langley GENERAL NOTES: 1.Design is in accordance with the Florida Building Code 7th Edition (2020) for use within and outside the High Velocity Hurricane Zone (HVHZ). 2.Wind loads have been calculated per the requirements of ASCE 7-16 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. 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 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. 1200 N Federal Hwy, #200 Boca Raton, FL 33432 Easy Seals .com Page 1 CALCULATIONS FOR FREESTANDING SIGNS ASCE 7-16 Design Wind Loads FREESTANDING SOLID SIGNS AND WALLS (AT GRADE) Building Specs V =170 mph Basic wind speed (Vult)Risk Category 1 Structure Exposure D ASD Load Combo Coeff:0.6 Calculations α =11.5 3-sec gust speed power law exponent Kd =0.85 Directionality factor zg =700'Nominal ht. of atmos. boundary layer Kzt =1.0 Topographic factor G =0.85 Ke =1.0 Ground elevation factor Cf =1.55 Force Coefficient …Width / Height ratio ≥ 0.5 SIGN HEIGHT DESIGN WIND PRESSURES Kh = Kzqz 15 ft ± 51.2 psf 1.03 38.9 18 ft ± 52.9 psf 1.06 40.1 20 ft ± 53.8 psf 1.08 40.9 30 ft ± 57.8 psf 1.16 43.9 35 ft ± 59.3 psf 1.19 45.0 40 ft ± 60.7 psf 1.22 46.1 45 ft ± 62.0 psf 1.25 47.1 50 ft ± 63.1 psf 1.27 47.9 55 ft ± 64.2 psf 1.29 48.7 60 ft ± 65.2 psf 1.31 49.5 70 ft ± 66.9 psf 1.35 50.8 80 ft ± 68.5 psf 1.38 52.0 90 ft ± 69.9 psf 1.41 53.1 100 ft ± 71.2 psf 1.43 54.1 110 ft ± 72.4 psf 1.46 55.0 120 ft ± 73.5 psf 1.48 55.8 130 ft ± 74.6 psf 1.50 56.6 140 ft ± 75.5 psf 1.52 57.3 150 ft ± 76.4 psf 1.54 58.0 175 ft ± 78.5 psf 1.58 59.6 200 ft ± 80.4 psf 1.62 61.0 250 ft ± 83.5 psf 1.68 63.4 170 mph - Exp ''D'' Signs at grade W/Ht Ratio ≤ 0.5 Page 2 CALCULATIONS FOR FREESTANDING SIGNS Footing Design for Freestanding Signs Structure Dimensions & Loading Design wind pressure:P =51.2 psf Overturning Safety Factor:Ω =1.5 … FBC 1807.2.3 Sign area 1:A1 =77.9 sq ft … tributary area 1 for each footer (e.g. sign) Height of applied force above grade:h1 =3.6 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 =14.5 kip-ft Sq / Rect Footing dimensions:B =5 ft L =5 ft Footing depth:d =3 ft Soil cover:ds =0 ft Superstructure weight:Dr =200 lb Soil cover weight:Ds =0 lb … = 100pcf*B*L*ds Footing weight:Df =11250 lb … = 150pcf*B*L*d Total weight:D =11450 lb … = Dr + Ds + Df Soil Strength …FBC Tables 1806.2, 1819.6 Soil class: Lateral bearing strength:Plat =150 psf/ft Vertical bearing strength:Pbrg =2000 psf Check Vertical Soil Bearing Pressures e =1.26 ft … = (P)*(A1*h1+A2*h2) / D ... > B/6 qtoe =2*D/[3*L*(B/2-e))…reaction below footer at toe qtoe =1235 psf qtoe < Pbrg OK Resisting moment due to Dead Load:Mv =D*B/2 Mv =28.6 kip-ft Total Resisting Moment:Mtot =Mv / Ω Mtot =19.1 kip-ft Mtot > Mn OK 4. Sand, silty sand, silty gravel Page 3 CALCULATIONS FOR FREESTANDING SIGNS Hollow Structural Pipe in Bending Allowable Stress Design per 2016 AISC Spec for Structural Steel Buildings Material Properties Yield Stress, A53 Grd B Steel:Fy =35 ksi Safety Factor =1.67 Per Section B3.4 Modulus of Elasticity:E =29000 ksi End Supports:Cantilever Member Properties ANSI 6" Schedule 40 steel pipe Nominal size:6"diam -Sch 40 Outside Diameter d =6.625 in Moment of Inertia:Ix =28.1 in4 Wall Thickness t =0.28 in Section Modulus:S =8.50 in3 Deflection Limit:Defl =L / 60 Design wind pressure:P =51.2 psf Sign area:A1 =77.9 sq ft … tributary area for each post (e.g. sign+post) Eccentricity of applied force:e1 =3.6 ft … distance to area centroid (weighted avg h1,h2) (1): Yielding Limit State Mn =Fy*S Allowable Moment:Mallow = Mn / 1.67 Mn =297.4 kip-in Mallow = 178.1 kip-in Check Member Bending Moment in member:Mmax =P*A1*e1 Mmax =173.6 kip-in Mmax < Mallow …OK Check Member Deflection: Allowable Deflection:∆allow =0.72 in L / 60 Deflection in member:∆max =P*(A*e^3) / (3*E*I) ∆max =0.13 in ∆max < ∆allow …OK Page 4