8/11/14. Sheet 1. Colonial Flag 9390 So 300 West Sandy, UT

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Ralph Davis
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1 8/11/14 Sheet So 00 West Sandy, UT

2 Street Banner Sign Cloth Tension Calculations for Simple Span with Uniform Loads. Sign Cloth Span Sign Cloth Length Stretched Sign Cloth Sag Sign Cloth Cross Sectional Area per Inch Sign Cloth Modulus of Elasticity l 0 L to e determined f to e determined A 0.16in E psi Sign Cloth Load per lin Distance Between Tie Downs q q w 1in d q 0.14 lf Calculate f ( q l) f l f 7.4in 64EA 1 8 f L l1 L 65.57in l T ql 8f 1 16 f l.5 T lf T σ ten σ ten 59.psi Tensile Load per Inch σ ten A 86.7lf 1A Tensile Strength Faric 150 lf / in ( TL ) ΔL ΔL 5.91in EA ΔL Δf Δf 1.8in 16 f f l L α atan 4 ( f Δf) l α 8.68deg V Tsin( α) V 497.7lf H Tcos( α) H 909.lf

3 Street Banner

4 Street Banner Loads On Top & Bot Cale P v d V P v lf (Edge of Panel) P h d H P h 164lf Find Take up Cales with load Capacity to Handle T*d/ T d lf

5 0 Ft Flag Pole ATP Building X DESIGN LOADS: WIND LOAD Shape Factor C q MPH EXPOSURE "C" lf w w C q.86 Ice on Pole d i 0.0in DESIGN PARAMETERS: ALLOWABLE STRESSES Steel SHELL FLANGE MODULUS OF ELASTICITY Steel Tapered Pole Two SECTIONS DIAMETERS f yshell f shell f yflng f flng 65000psi.6f yshell 65000psi.6f yflng E stl psi ELEVATION WIND COEFFICIENTS C e C e C e C e C e C e d ind in d in WALL THICKNESS C e C e t 0.5in t 1 0.5in t 0.5in SECTION LENGTHS L 15 L 1 15 L 0 Flags Exposed Areas. A Exposed Area to Match Load calculated on Drag Force Calculation HEIGHT OF Pole: H 0 1

6 0 Ft Flag Pole ATP Building X Loads on Pole Pole Section 1 Pole Section d d 1 P w w d i C e15 L P 1 w w d i P 19.51lf P lf Elevation of Load a 7.5 a 1.5 d 1 d C e0 L 1 Cale Load P 1600lf P lf P 1600lf P lf Elevation of Load a 0 Elevation of Load a 4 7 Moment of Inertia: I d 4 ( d t) 4 4 I d 1 Area of cross-section: π d ( d t) A πd 1 A 1 4 I I 1 S d S 1 d 1 d 1 t 1 4 d 1 t 1 4

7 0 Ft Flag Pole ATP Building X Now compute the deflection and stress at points along the eam: Points along the H H eam: i 0 x i i H Reactions: R 1 P 1 P P P P 4 P 5 R lf Shear Diagram Shear Stress v max R 1 v max σ shear σ shear 9.01psi A Side view of eam (vertical dimension greatly exaggerated) v i lf Deflection: y H 14.in y i in x i Stress and ending moment: x i Moment diagram for eam M 0 M 5 M lf lf 1100lf M i lf STRESS AT BOTTOM OF EACH SECTION M 0 M 15 S 0 S 15 S S x i S psi S psi S f shell <1.0 S <1.0 f shell

8 Drilled Sha Foundation for Sign & Signal Structures Florida Department of Transportation SUBJECT Street Banner Pier Foundation DESIGNED BY JCG DATE 7/1/14 CHECKED BY JCG DATE 7/1/14 Input SoilType Sand Clay WaterElevation Below Bottom of Sha Aove Top of Sha γ soil.dry 110pcf dry soil density γ water 6.4pcf γ soil γ soil.dry if WaterElevation = "Aove Top of Sha" γ water 0 pcf γ soil 110pcf water density 110pcf sha diameter Offset 0.0 groundline to top of foundation ϕ soil 0deg Applied Loads soil friction angle (sand) c soil.0 kip soil shear strength (clay) M x M z 100.8kip V x.9kip Torsion.05kip 0kip V z 0kip Axial 1.5kip Sha Depth Required to Resist Overturning SF ot Safety Factor against Overturning SM Vol M total M total SF ot M x V x M z SF ot 01.6kip 7.8kip short free-head pile in cohesionless soil using Broms method K p ϕ soil tan 45deg e sand Offset Guess value L otsand 8 Given γ soil L otsand K p V z e sand L otsand M total = 0kip Temp Find L otsand L otsand Temp L otsand 8.1 L otsand (round up to next foot) L otsand ceil L otsand 9 8/11/014 0 Pole Drilled Sha Steel.xmcd v.0 1

9 short free-head pile in cohesive soil using Modified Broms method for L < (see reference file for derivation) c soil if c soil = 0ksf 0.1ksf c soil Slope 8 c soil M total e clay Offset nforce( MN) Slope( M N) c soil N mforce( M) c soil MSlopeM M MSlope m_arm( M) e clay MSlope c soil c soil c soil n_arm( MN) e clay M N NSlope MSlope c soil MSlope Slope( M N) c soil c soil Guess value M 4.0 N 4.0 Given nforce( MN) = mforce( M) mforce( M) m_arm( M) = nforce( MN) n_arm( MN) M N Find( MN) L ot1clay M N L ot1clay 6.74 L ot1clay (round up to next foot) L ot1clay ceil L ot1clay 7 short free-head pile in cohesive soil using Regular Broms method for L > f clay M maxtemp e clay f clay 9c soil g M maxtemp.5c soil L otclay 1.5 g L otclay 8.84 f clay L otclay (round up to next foot) L otclay ceil L otclay 9 L otclay if L ot1clay L otclay 7 L ot1clay L otclay (If L ot <, use Modified Broms method) L reqdot if SoilType = "Sand" L otsand L otclay L reqdot 9 8/11/014 0 Pole Drilled Sha Steel.xmcd v.0

10 Sha Depth Required to Resist Torsion SF tor 1. Safety Factor against Torsion 1.0 for Mast Arm signal structures 1. for Overhead Cantilever sign structures SM Vol coefficient of friction ω fdot 1.5 load transfer ratio SM Vol μ tanϕ soil etween sha and soil μ 0.58 γ concrete 150pcf γ concrete γ concrete if WaterElevation = "Aove Top of Sha" γ water CohesionFactor 0.55 f se CohesionFactorc soil short free-head pile in cohesionless soil Guess value L torsand L reqdot γ concrete 0pcf 150pcf 150pcf Given Torsion = π L torsand γ soil L torsand ω fdot π SF tor L torsand γ concrete μ Temp Find L torsand L torsand Temp L torsand 0.1 L torsand (round up to next foot) L torsand ceil L torsand 1 short free-head pile in cohesive soil Guess value L torclay L reqdot Given f se ( π) L torclay 1.5 f se π = TorsionSF tor Temp Find L torclay L torclay Temp L torclay 1 L torclay (round up to next foot) L torclay ceil L torclay L reqdtor if SoilType = "Sand" L torsand L torclay L reqdtor 1 L emedded if L reqdtor L reqdot L reqdtor L reqdot L emedded 9 L sha.length L emedded Offset L sha.length 9 8/11/014 0 Pole Drilled Sha Steel.xmcd v.0

11 Unfactored Maximum Moment in Sha short free-head pile in cohesionless soil using Broms method SF ot f sand f sand 1.6 γ soil K p M maxsand f sand SF e sand f sand ot M total M maxsand 105kip SF ot SF ot short free-head pile in cohesive soil using Modified Broms method for L < (see reference file for derivation) Guess value f mod 4.0 Given SF ot f mod = f mod c soil f mod Slope Find f mod f mod 0.5 M modbroms c e clay f mod soil f mod f mod Slope M modbroms 101.9kip SF ot 6 short free-head pile in cohesive soil using Regular Broms method for L > M Broms e clay f clay M Broms 118.6kip SF ot M maxclay if L ot1clay M maxclay 101.9kip M modbroms M Broms (If L ot <, use Modified Broms method) M max if SoilType = "Sand" M maxsand M maxclay (this is a Service moment) M max 105kip 8/11/014 0 Pole Drilled Sha Steel.xmcd v.0 4

2/23/ WIND PRESSURE FORMULA 2. PERCENT OF ALLOWABLE STRESS 3. FATIGUE DESIGN

2/23/ WIND PRESSURE FORMULA 2. PERCENT OF ALLOWABLE STRESS 3. FATIGUE DESIGN Original Title Presented by Northwest Signal copyright 2010 Designing & Building Structural Steel Products since 1976 Primary Users Traffic Signal Strain & Mast Arm Poles Cantilever & Bridge Sign Structures