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HomeMy WebLinkAboutDESIGN CALCULATIONSSeals easyseals.com DESIGN CALCULATIONS FOR BURGER KING DIGITAL MENU BOARD 6598 US Hwy 1— Port St Lucie 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, 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 I` Boca Raton, FL 33432 Easy Seals .com SCANNED BY St. Lucie County Index: Pg 1 Cover Pg 2 Wind Loads Pg 3 Footing Design Pg4 PrimarySupport(s) Pg 5 Cast -In Anchors Bolts run valid No.63812 _ Chrrist aliV K G4, RE # 67382 EasySeAl9nnnrrG Auth#31124 File COPY Page 1 EasySeats CALCULATIONS FOR FREESTANDING SIGNS eazyseaismm '/SCE 7-10 Design Wind Loads FREESTANDING SOLID SIGNS AND WALLS (AT GRADE) Building Specs V = 150 mph Basic wind speed Exposure C Calculations a= 9.5 3-sec gust speed power law exponent zg = 900' Nominal ht. of atmos. boundary layer G = 0.85 150 mph - Exp "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 ft + 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 L.Z50 ft ± 59.4 psf Risk Category 1 Structure ASD Load Combo Coeff: 0.6 N Y n 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 Directionality factor Kzt = 1.0 Topographic factor Cf = 1.55 Force Coefficient Width / Height ratio >_ 0.5 Page 2 Fj twsySeals CALCULATIONS FOR FREESTANDING SIGNS ls essysa Footing Design for Freestanding Signs and Flagpoles Structure Dimensions & Loading Design wind pressure: P = Overturning Safety Factor: 4 = Sign area 1: A1= Height of applied force above grade: h1= Sign area 2: A2 = Height of applied force above grade: h2 = Overturning Moment: 32.9 psf I 1.5 ... FBC 1807.2.3 24.3 sq ft ... tributary area 1 for each footer (e.g. sign) 3.4 ft ... height of area 1 centroid 4.9 sq ft ... tributaryarea 2 for each footer (e.g. post) 0.7 ft ... height of area 2 centroid Mn= P*(A1*h1+A2*h2) Mn = 2.8 kip-ft Sq / Rect Footing dimensions: B = 3 ft Footing depth: d = 2 ft Superstructure weight: Dr= 200 lb Soil cover weight: Ds = 0 lb Footing weight: Df = 2700 lb Total weight: D = 2900 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 = 0.97 ft ... = (P)*(Al*hl+A2*h2) / D qtoe = 2*D/[3*L*(B/2-e)) qtoe = 1228 psf Resisting moment due to Dead Load: My = D*B/2 My = 4.4 L= 3 ft Soil cover: ds= 0 ft ... = 100pcf*B*L*ds ... = 150pcf*B*L*d ...=Dr+Ds+of ...reaction below footer at toe kip-ft Total Resisting Moment: Mtot = My / () Mtot = 2.9 kip-ft ... > B/6 qtoe < Pbrg OK Mtot >Mn OK Page 3 lwsySeals CALCULATIONS FOR FREESTANDING SIGNS ... easyseaL5 '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 B3.4 Modulus of Elasticity: E = 29000 ksi Member Properties Flange: b = 4 in Moment of Inertia: Ix = 6.5 in Flange Thickness: tf= 3/16" = 0.175" Section Modulus: S= 3.3 in Web: d = 4 in Deflection Limit: Defl = L/ 80 Web Thickness: tw = 3/16" = 0.175" End Supports: Cantilever Design wind pressure: P = 32.9 psf Sign area: A1= 29.2 sq ft ... tributary area for each post (e.g. sign+post) Eccentricity of applied force: e1 = 3.0 ft ... distance to area centroid (weighted avg hl,h2) Unbraced Length: Lc = 3.0 ft Check for Limiting Width -Thickness Ratios (Compact/Noncompact, per Table 134.1) Flanges Webs b/t = 20.9 = (b-2*t2)/tl d/t = 20.9 = (d-2*tl)/t2 1.12*V(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*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*5 Mallow = Mn / 1.67 Mn = 150.4 kip -in Mallow = 90.0 kip -in Check Member Bending Allowable Moment: Mn = 90.0 kip -in Minimum of Mallow values above Moment in member: Mmax = P*Al*e1 Mmax= 33.9 kip -in Check Member Deflection: Allowable Deflection: Deflection in member: Darrow= 0.44 in Amax= P*(A*e"3)/(3*E*I) Amax= 0.07 In L/80 Mmax < Mn ... OK Amax < Aallow ... OK Page 4 rdr,51PIN, �fwcTklSemis CALCULATIONS FOR FREESTANDING SIGNS 4 easyseatec,m ' Cast -in -Place Concrete Anchor [colts ACI 318-11, Appendix "D" Required Strength: Wind pressure: W= 32.9 psf Tributary area: A= 29.2 sgft Dead load: D = 0 lb Load eccentricity: e = 3.0 ft ASCE 7-10, 2.3.2: U= (1.2)D + (1.0)W Mu= 4.71 kip-ft ... = [(1.2)D+(1.0)W]*A*e Anchor & Concrete Specs: Concrete: fc= 2500 psi Anchor bolt size: 5/8" da = 0.625 in nt = it threads/in Anchor material: SAE Grade 2 / A307 futa = 74 ksi Embedment: hef= 18 in Edge distance: ED= 14 in Qty anchors in group: Q= 2 anchors Anchor group offset: a = 8 in Anchor Strength: Tension: U <_ 0.75 4) Nn Steel Strength: Ase = 7E/4*(da-0.9743/nt)Z Ase = 0.23 in' Concrete Breakout: Anc= [ED+s+1.5*hef]*[ED+1.5*hef] Anc = 1681 in' Nb= kc*A*Vfc*hefA1.5 Nb= 91.6 kips Limit=J6*A*✓fc*hef^(513) = 98.9kips kc = 24 ...cast -in anchors X = 1.0 ... normal weight concrete Concrete breakout strength: Steel: Conc, no suppl reinf: Nsa = Ase*futa Nsa = 16.7 kips 4)s = 0.75 (�c = 0.70 4)s*Nsa = 12.5 kips Anco = 9*hefA2 Anco = 2916 in' Cracked Concrete: 4ic= 1.0 Cast -in anchors: Wcp = 1.0 Wed=0.7+0.3*ED/(1.5*hef) Wed= 0.86 No eccentricity between anchors: Wec = 1.0 Ncb= (Anc/Anco)*Wc*Wcp*Wed*Wec*Nb Ncb = 45.2 kips dtc*Ncb = 31.6 kips Concrete Pullout: - Headed Stud / Bolt: Head diameter: dh = 1 in Np = 8*Abrg*f'c Abrg = 0.8 in' Np = 15.7 kips Cracked Concrete: Wc,p = 1.0 Concrete pullout strength: Npn = Wc.p*Np Npn = 15.7 kips 4)c*Npn = 11.0 kips Concrete Blowout: Headed Stud / Bolt: Nsb = 160*ED*dAbrg*X*Vfc Concrete blowout strength: Nsb = 99.3 kips (bc*Nsb = 69.5 kips Critical Anchor Strength: (�Nn= min((�s*Nsa,(�c*Ncb,(�c*Npn,4)c*Nsb) o�Nn= 11.0 kips (�Mn = Q*4)Nn*a 4)Mn = 14.7 kip-ft Mu < 0.75 (� Mn 4.71 kip-ft < 11.0 kip-ft OK Page 5 :s LLasy Seals a .� easyseals.com DESIGN CALCULATIONS FOR BURGER ICING DIGITAL MENU BOARD 6598 US Hwy 1— Port St Lucie 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 Index: specified herein and/or in accompanying engineering drawings. The Pg 1 Cover existing host structure (if any) is assumed to be in good condition, Pg 2 Wind Loads capable of supporting the loaded system, subject to building department Pg 3 Footing Design approval. No warranty, either expressed or implied, is contained herein. Pg 4 Primary Support(s) 4. System components shall be as noted herein. All references to named Pg 5 Cast -in Anchors Bolts 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 tur' Y Engi�,et: si�r�t��r (�+p�hc�sealvalid required or a separate site -specific engineering evaluation performed. ..`. Y ag'd.{ t . 6. Aluminum components in contact with steel or embedded in concrete ` �` F l� `: shall be protected as prescribed in the 2015 Aluminum Design Manual, N®. 67 82 Part 1-A. Steel components in contact with, but not encased in, concrete -0c shall be coated, painted, or otherwise protected against corrosion. = 7. Engineer seal affixed hereto validates structural design as shown only. '. o azz CTAT%E* V29 8' . � � Use of this specification by contractor, et. Al, indemnifies and saves Chi?Sia 4: 67382 harmless this engineer for all costs & damages including legal fees & 1•., L ,,, apeliate fees resulting from deviation from this design. Easy Sea19.i,ittoaYt Auth #31124 N Federal Hwy, #200 Easy Seals .com Page i Bacaoca Raton, FL 33432 „� Easyseals CALCULATIONS FOR FREESTANDING SIGNS eazysealsmm ASCE 7-10 Design Wind Loads FREESTANDING SOLID SIGNS AND WALLS (AT GRADE) Building Specs V = 150 mph Basic wind speed Exposure C Calculations a = 9.5 3-sec gust speed power law exponent zg = 900, Nominal ht. of atmos. boundary layer G = 0.85 1S0 mph - Exp "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 ft + 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 u Y q= 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 Directionolityfactor Kzt = 1.0 Topographic factor Cf = 1.55 Force Coefficient ...Width/Height ratio >_0.5 Page 2 -Edsyr.Sea(S CALCULATIONS FOR FREESTANDING SIGNS anyuvl Footing Design for Freestanding Signs and Flagpoles Structure Dimensions & Loading Design wind pressure: P = Overturning Safety Factor: 4 = Sign area 1: Al = Height of applied force above grade: h1= Sign area 2: A2 = Height of applied force above grade: h2 = Overturning Moment: 32.9 psf 1.5 ... FBC 1807.2.3 24.3 sq ft ... tributary area 1 for each footer (e.g. sign) 3.4 ft ... height of area 1 centroid 4.9 sq ft ... tributaryarea 2 for each footer (e.g. post) 0.7 ft ... height of area 2 centroid Mn = P*(A1*hl+A2*h2) Mn = 2.8 kip-ft Sq / Rect Footing dimensions: B = 3 ft L = Footing depth: d = 2 ft Soil cover: Superstructure weight: Dr = 200 lb Soil cover weight: Ds = 0 lb ...= 1oopcf*B*L*ds Footing weight: Df= 2700 lb ... = 150pcf*B*L*d Total weight: D= 2900 lb ... =Dr+Ds+Df 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 = 0.97 ft ... = (P)*(A1*h1+A2*h2) / D gtoe= 2*D/[3*L*(B/2-e)) ... reaction belowfooter attoe qtoe = 1228 psf Resisting moment due to Dead Load: My = D*B/2 My = 4.4 kip-ft Total Resisting Moment: Mtot = My / 4 Mot = 2.9 kip-ft 3 ft ds = 0 ft ... > B/6 qtoe < Pbrg OK Mtot>Mn OK Page 3 ter'EasySea1s CALCULATIONS FOR FREESTANDING SIGNS auysa�lsmm *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 e3.4 Modulus of Elasticity: E = 29000 ksi Member Properties Flange: b = 4 in Moment of Inertia: Ix = 6.5 in" Flange Thickness: tf= 3/16" = 0.175" Section Modulus: S = 3.3 in' Web: d = 4 in Deflection Limit: Defl = L / 80 Web Thickness: tw = 3/16" = 0.175" End Supports: Cantilever Design wind pressure: P = 32.9 psf Sign area: A1= 29.2 sq ft ... tributary area for each post (e.g. sign+post) Eccentricity of applied force: e1 = 3.0 ft ... distance to area centroid (weighted avg hl,h2) Unbraced Length: Lc = 3.0 ft Check for Limiting Width -Thickness Ratios (Compact/Noncompact, per Table 134.1) Flanges Webs b/t = 20.9 = (b-2*t2)/tl d/t = 20.9 = (d-2*tl)/t2 1.12*J(E/Fy) = 28.1 Flange Compact Limit 2.42*v(E/Fy) = 60.8 Web Compact Limit 1.40*d(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 Mallow= Mn/1.67 Mn= 150.4 kip -in Mallow = 90.0 kip -in Check Member Bending Allowable Moment: MIn = 90.0 kip -in Minimum of Mallow values above Moment in member: Mmax = P*A1*e1 Mmax = 33.9 kip -in Check Member Deflection: Allowable Deflection: Aaliow= 0.44 in L/so Deflection in member: Ama.= P*(A*eA3)/(3*E*I) Omax = 0.07 in Mmax < Mn ... OK Amax <Aallow ... OK Page 4 'r(� . Eas Seals y.� � c sysrzis.wm CALCULATIONS FOR FREESTANDING SIGNS ' Cast -in -Place Concrete Anchor Bolts ACI 318-11, Appendix "D" Required Strength: Wind pressure: W = 32.9 psf Tributary area: A = 29.2 sqft Dead load: D = 0 lb Load eccentricity: e = 3.0 ft ASCE 7-10, 2.3.2: U = (1.2)D + (1.0)W Mu = 4.71 kip-ft ... _ [(1.2)D+(1.0)W]*A*e Anchor & Concrete Specs: Concrete: fc= 2500 psi Anchor bolt size: 5/8" da = 0.625 in nt = 11 threads/in Anchor material: SAE Grade 2 / A307 futa = 74 ksi Embedment: hef = 18 in Edge distance: ED = 14 in Qty anchors in group: Q= 2 anchors Anchor group offset: a = 8 in Anchor Strength: Tension: U < 0.75 (� Nn Steel Strength: Ase = ri/4*(da-0.9743/nt)1 Ase = 0.23 in' Concrete Breakout: Anc= [ED+s+1.5*hef]*[ED+1.5*hef) Anc = 1681 in' Nb = kc*X*Jfc*hefA1.5 Nb = 91.6 kips Limit=16*A*i/fc*nef^(513) = 98.9kips kc = 24 ...cast -in anchors X = 1.0 ... normal weight concrete Concrete breakout strength: Steel: Conc, no suppl reinf: Nsa = Ase*futa Nsa = 16.7 kips (�s = 0.75 # = 0.70 cl�s*Nsa = 12.5 kips Anco = 9*hefA2 Anco = 2916 in' Cracked Concrete: We = 1.0 Cast -in anchors: Wcp = 1.0 4jed=0.7+0.3*ED/(1.5*hef) Wed= 0.86 No eccentricity between anchors: Wec = 1.0 Ncb= (Anc/Anco)*Wc*Wcp*Wed*Wec*Nb Ncb = 45.2 kips 4)c*Ncb = 31.6 kips Concrete Pullout: Headed Stud / Bolt: Head diameter: dh = Np = 8*Abrg*f'c Abrg = Np = 15.7 kips Cracked Concrete: Wc,p = Concrete pullout strength: Non = Wc.p*Np Npn = 15.7 Concrete Blowout: Headed Stud / Bolt: Nsb = 160*ED*dAbrg*X*Vfc Concrete blowout strength: Nsb = 99.3 kips Critical Anchor Strength: 4)Nn= min(4)s*Nsa4c*Ncb,4)c*Npn,�c*Nsb) cl�Nn= 1 in 0.8 in 1.0 kips 4)c*Npn = 11.0 kips 4)c*Nsb = 69.5 kips 11.0 kips (�Mn = Q*(�Nn*a 4)Mn = 14.7 kip-ft Mu 5 0.75 (� Mn 4.71 kip-ft < 11.0 kip-ft OK Page 5