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HomeMy WebLinkAboutG Dir CALCSDESIGN CALCULATIONS FOR 7-ELEVEN #38944 Sign G: Directionals Indrio Rd & Kings Hwy – Ft Pierce 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 Mar 17 2020 Christian Langley GENERAL NOTES: 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. 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 7-10 Design Wind Loads FREESTANDING SOLID SIGNS (ELEVATED) Building Specs V =150 mph Basic wind speed Risk Category 1 Structure Exposure C ASD Load Combo Coeff:0.6 Calculations α =9.5 3-sec gust speed power law exponent Kd =0.85 Directionality factor zg =900'Nominal ht. of atmos. boundary layer Kzt =1.0 Topographic factor G =0.85 Cf =1.85 Force Coefficient …Width / Height ratio = 0.2 to 10 SIGN HEIGHT DESIGN WIND PRESSURES Kh = K z qz 15 ft ± 39.2 psf 0.85 24.9 18 ft ± 40.7 psf 0.88 25.9 20 ft ± 41.7 psf 0.90 26.5 30 ft ± 45.4 psf 0.98 28.9 35 ft ± 46.9 psf 1.01 29.8 40 ft ± 48.2 psf 1.04 30.7 45 ft ± 49.4 psf 1.07 31.4 50 ft ± 50.5 psf 1.09 32.1 55 ft ± 51.5 psf 1.12 32.8 60 ft ± 52.5 psf 1.14 33.4 70 ft ± 54.2 psf 1.17 34.5 80 ft ± 55.8 psf 1.21 35.5 90 ft ± 57.2 psf 1.24 36.4 100 ft ± 58.5 psf 1.27 37.2 110 ft ± 59.6 psf 1.29 37.9 120 ft ± 60.8 psf 1.32 38.6 130 ft ± 61.8 psf 1.34 39.3 140 ft ± 62.8 psf 1.36 39.9 150 ft ± 63.7 psf 1.38 40.5 175 ft ± 65.8 psf 1.42 41.8 200 ft ± 67.6 psf 1.46 43.0 250 ft ± 70.9 psf 1.53 45.1 150 mph - Exp ''C'' Elevated Signs W/Ht Ratio = 0.2 to 2.0 Page 2 CALCULATIONS FOR FREESTANDING SIGNS Footing Design for Freestanding Signs and Flagpoles Structure Dimensions & Loading Design wind pressure:P =45.4 psf Overturning Safety Factor:Ω =1.5 … FBC 1807.2.3 Sign area 1:A1 =1.5 sq ft … tributary area 1 for each footer (e.g. sign) Height of applied force above grade:h1 =3.0 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 =0.2 kip-ft Round Footing Diameter:B =1 ft Footing depth:d =2.08 ft Soil cover:ds =0 ft Superstructure weight:Dr =200 lb Soil cover weight:Ds =0 lb … = 100pcf*π*B^2/4*ds Footing weight:Df =245 lb … = 150pcf*π*B^2/4*d Total weight:D =445 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 Lateral Soil Bearing Pressures (Empirical Method)…FBC Sect 1807.3.2.1 Unconstrained (No rigid floor or pavement at ground surface) Allowable lateral soil bearing pressure at 1/3 depth: S1 =2*Plat * (d+ds)/3 S1 =208 psf Total applied lateral load:Ptot =0.07 kips Equiv ht of applied load:heq =2.98 ft As =2.34*Ptot/(S1*B) As =0.8 ft dreq =As/2 * [ 1 + √(1+4.36*heq/As) ] dreq =2.01 ft dreq < d OK 4. Sand, silty sand, silty gravel Page 3 CALCULATIONS FOR FREESTANDING SIGNS ALUMINUM DESIGN MANUAL Specifications for Aluminum Structures (Buildings) Design Check of 2''x2''x0.125''/0.125'' 6063-T6 Aluminum Tube Alloy:6063 Temper:T6 Welded:N SECTION PROPERTIES b 2.000''Flange width tb 0.125''Flange thickness h 2.000''Web height th 0.125''Web thickness Ix 0.55 in^4 Moment of Inertia about axis parallel to flange Iy 0.55 in^4 Moment of Inertia about axis parallel to web Sc 0.55 in^3 Section modulus, compression side (about X-axis) rx 0.77 in Radius of gyration about centroidal axis parallel to flange ry 0.77 in Radius of gyration about centroidal axis parallel to web J 0.82 in^4 Torsion constant A 0.94 in^2 Cross sectional area of member MEMBER SPANS L 10.0 ft Unsupported member length (between supports) Lb 8.0 ft Unbraced length for bending (between bracing against side-sway) k 1.0 Effective length factor MATERIAL PROPERTIES Ftu 30 ksi Tensile ultimate strength Fty 25 ksi Tensile yield strength Fcy 25 ksi Compressive yield strength Fsu 19 ksi Shear ultimate strength E 10,100 ksi Compressive Modulus of Elasticity ALLOWABLE STRESSES Fb =14.99 ksi Allowable bending stress Fac =2.09 ksi Allowable axial stress, compression MEMBER LOADING Design wind pressure:P =45.4 psf End Supports:Cantiliever Sign area:A1 =1.5 sq ft … trib area for each post (e.g. sign+post) Eccentricity of applied force:e1 =3.0 ft … dist to area centroid (weighted avg h1,h2) Bending Moments Mz 0.2 kip-ft Bending moment developed in member Ma =0.69 kip-ft fb =4.44 ksi Bending stress developed in member Fb =14.99 ksi Allowable bending stress of member fb < Fb OK b h th tb Page 4