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{"sheet":"Inputs","index":0,"n_rows":322,"n_cols":9,"rows_kept":322,"cut":false,"hidden":false,"merged":[[307,3,307,5],[307,6,307,8],[71,3,71,6],[54,5,54,6],[61,1,61,7],[320,2,320,7],[321,2,321,7],[314,2,314,7],[275,7,275,8],[276,7,276,8],[277,7,277,8],[291,3,291,4],[294,3,294,4],[281,4,281,5],[284,4,284,5],[282,3,282,4],[319,2,319,7],[306,6,306,8],[88,0,88,8],[79,0,79,8],[73,0,73,8],[77,5,77,6],[113,1,114,1],[52,2,52,4],[69,2,69,4],[55,5,55,6],[43,5,43,6],[60,2,60,4],[60,5,60,6],[56,5,56,6],[69,5,69,6],[57,2,57,6],[58,2,58,6],[50,2,50,4],[62,1,67,3],[50,5,50,6],[51,5,51,6],[52,5,52,6],[51,2,51,4],[15,7,15,8],[17,7,17,8],[8,4,8,5],[5,0,6,3],[27,2,27,8],[18,7,18,8],[19,7,19,8],[23,0,23,8],[25,7,25,8],[0,0,0,7],[1,1,1,8],[13,7,13,8],[4,4,4,5],[5,4,5,5],[6,4,6,5],[2,3,2,5],[2,6,2,8],[2,0,2,2],[12,7,12,8],[309,1,309,2],[309,3,309,8],[306,1,306,2],[306,3,306,5],[287,4,287,5],[288,3,288,4],[304,6,304,8],[305,3,305,5],[308,1,308,2],[308,3,308,5],[308,6,308,8],[304,1,304,2],[304,3,304,5],[305,6,305,8],[305,1,305,2],[307,1,307,2],[230,5,230,7],[285,3,285,4],[128,7,128,8],[127,7,127,8],[113,6,113,7],[113,4,113,5],[175,2,175,3],[175,4,175,5],[154,7,154,8],[131,7,131,8],[207,0,207,8],[209,7,209,8],[210,7,210,8],[214,7,217,7],[125,0,125,8],[113,2,113,3]]}
["I. Reference"]
[null,"AASHTO 2009 Edition Standard Spefification for Structural Supports for Highway Signs, Luminaires and Traffic Signals with 2011 Interim"]
["Generates Standard Table (See Comment before Running)",null,null,"Designs most Efficient Shape with Known W, L, and H",null,null,"Checks Custom Shape with Known W, L, and H"]
[]
["II. Dimensions ",null,null,null,"Sign Width",null,"W = ",15]
["(Used for \"Custom Design\" and                \"Shape Check\" Programs Only)",null,null,null,"Post Length",null,"L = ",12]
[null,null,null,null,"Sign Height",null,"H = ",18]
[null,null,null,null,"Unbraced Length",null,"Lu = ",0]
["III. AISC Shape Database",null,null,null,"Custom Size",null,null,48]
[null,null,null,null,null,"Hinge Shim Plate Thickness","tshimH = ",1]
["IV. Material Properties"]
[null,"A. Post Strength (ASTM A36) or Optional Shim Plate for Custom Shape"]
[null,null,"Yield Strength",null,null,null,"Fypost = ",36000]
[null,null,"Modulus of Elasticity",null,null,null,"Es = ",29000000]
[null,"B. Hinge Strength (AISI 4130)"]
[null,null,"Yield Strength",null,null,null,"Fyhinge = ",90000]
[null,"C. Bracket and Sign Panel Strength (Aluminum 6061-T6 Table 6-1)"]
[null,null,"Tensile Ultimate Strength",null,null,null,"Ftu = ",42000]
[null,null,"Tensile Yield Strength",null,null,null,"Fty = ",35000]
[null,null,"Shear Yield Strength",null,null,null,"Fsy = ",20000]
[null,null,"Unit Weight of Aluminum",null,null,null,"Wa = ",165]
[null,"D. Coupling Strength"]
[null,null,"Coupling Yield Strength",null,null,null,"Fycoupling = ",130000]
["V. Loads"]
[null,"A. Dead Load (Section 3.5)"]
[null,null,"Weight of Sign",null,null,null,"Ws = ",3]
[null,"B. Ice Load (Section 3.7)"]
[null,null,"Ice loading has be Eliminated from this calcuation since it has been determined that it will not govern the design"]
[]
[null,"C. Wind Load (Section 3.8)"]
[null,null,"Height and Exposure Factor",null,null,null,"Kz = ","See Eqn. C3-1"]
[]
[null,null,null,"Height","Kz","Height","Kz"]
[null,null,null,16.399999999999999,0.87,114.8,1.3]
[null,null,null,24.6,0.94,131.19999999999999,1.34]
[null,null,null,32.799999999999997,1,147.6,1.37]
[null,null,null,41,1.05,164,1.4]
[null,null,null,49.2,1.0900000000000001,180.5,1.43]
[null,null,null,57.4,1.1299999999999999,196.9,1.46]
[null,null,null,65.599999999999994,1.1599999999999999,229.7,1.51]
[null,null,null,73.8,1.19,262.5,1.55]
[null,null,null,82,1.21,295.3,1.59]
[null,null,null,90.2,1.24,328.1,1.63]
[null,null,null,98.4,1.26]
[]
[]
[]
[]
[]
[]
[null,null,"Gust Effect Factor (Section 3.8.5)",null,null,"G = ",null,1.1399999999999999]
[null,null,"Basic Wind Speed (Table 3-2)",null,null,"V = ",null,100,"(*)"]
[null,null,"Importance Factor (Table 3-2)",null,null,"Ir = ",null,{"$f":"IF(H52=D56,E56,E57)","v":0.71}]
[]
[null,null,"Recurr. Interval","Velocity","Importance Factor","Description"]
[null,null,"10 Years",100,0.71,"Non-Hurricane Region"]
[null,null,"10 Years",120,0.54,"Hurricane Region"]
[null,null,"NOTE 1: Per Table 3-3, the recommended minimum design life of a roadside sign structure is 10 years."]
[null,null,"NOTE 2: Per Figure 3-2, the maximum wind velocity anywhere in CT is 120 mph along the coast.  Per Table 3-2, the design wind pressure for hurricane wind velocities greater than 100 mph should not be less than the design wind pressure using V=100 mph with the corresponding non-hurricane Ir value."]
[null,null,"(*) Wind Speed determination:  See \"Section XII - Explanatory Notes\"."]
[null,null,"Drag Coefficient (Section 3.8.6)",null,null,"Cd = ",null,"See Table 3-6"]
[]
[null,null,null,null,"L/W","Cd"]
[null,null,null,null,1,1.1200000000000001]
[null,null,null,null,2,1.19]
[null,null,null,null,5,1.2]
[null,null,null,null,10,1.23]
[null,null,null,null,15,1.3]
[]
[null,null,"Basic Wind Pressure (Section 3.8.1)",null,null,"Pw = ",null,"See Equation 3-1"]
[]
[null,null,null,"Pw = 0.00256·Kz·G·V2·I·Cd"]
[]
["VI. Post Design"]
[null,"1. Bending Analysis",null,null,null,null," p = ",{"$f":"PI()","v":3.1415926535897931}]
[null,null,null,null,null,null,"Cb = ",1]
[]
[null,"2. Compression Analysis",null,null,null,"K = ",null,1.65]
[null,null,null,null,null,"(refer to Part XI. Explanatory Notes below)"]
["VII. Hinge Design"]
[null,"1. Hinge Plate HI-1 (Type AI6)",null,null,null,null,"AAI6 = ",{"$f":"1*0.071","v":7.0999999999999994E-2}]
[]
[null,"2. Hinge Plate HI-2 (Type B525)",null,null,null,null,"AB525 = ",{"$f":"1.5*0.113-0.5*0.113","v":0.11300000000000002}]
[]
[null,"3. Hinge Plate HI-3 (Type B650)",null,null,null,null,"AB650 = ",{"$f":"1.5*0.113","v":0.16950000000000001}]
[]
[null,"4. Misc. Data",null,"Dist from Hinge to Bottom of Sign",null,null,"Spacing = ",3.25]
[]
["VIII. Bracket Design"]
[null,"1. Bracket Type B525"]
[null,null,"Horizontal Leg Thickness",null,null,null,"HB525 = ",1.25]
[null,null,"Vertical Leg Thickness",null,null,null,"VB525 = ",1.75]
[null,null,"Bracket Width",null,null,null,"WB525 = ",5.25]
[null,null,"Bracket Area",null,null,null,"AB525 = ",15.273999999999999]
[null,null,"Bracket #1 Eccentricity",null,null,null,"E1B525 = ",{"$f":"0.1+0.004","v":0.10400000000000001}]
[null,null,"Bracket #2 Eccentricity",null,null,null,"E2B525 = ",{"$f":"0.15+0.004","v":0.154}]
[null,null,"Bracket #3 Eccentricity",null,null,null,"E3B525 = ",{"$f":"0.2+0.004","v":0.20400000000000001}]
[]
[null,"2. Bracket Type B650"]
[null,null,"Horizontal Leg Thickness",null,null,null,"HB650 = ",1.25]
[null,null,"Vertical Leg Thickness",null,null,null,"VB650 = ",1.75]
[null,null,"Bracket Width",null,null,null,"WB650 = ",6.5]
[null,null,"Bracket Area",null,null,null,"AB650 = ",15.273999999999999]
[null,null,"Bracket #1 Eccentricity",null,null,null,"E1B650 = ",{"$f":"0.1+0.004","v":0.10400000000000001}]
[null,null,"Bracket #2 Eccentricity",null,null,null,"E2B650 = ",{"$f":"0.15+0.004","v":0.154}]
[null,null,"Bracket #3 Eccentricity",null,null,null,"E3B650 = ",{"$f":"0.2+0.004","v":0.20400000000000001}]
[]
[null,"3. Bracket Constants"]
[null,null,"Factor of Safety - Ultimate Strength",null,null,null,"Nu = ",1.95]
[null,null,"Factor of Safety - Yield Strength",null,null,null,"Ny = ",1.65]
[null,null,"Coefficient for Tension Members",null,null,null,"Kt = ",1]
[]
[null,"4. Eccentricity Bracket Selection Table:",null,null,null,"Let L' = Post Length + H/2"]
[null,"Post Depth","Bracket #1",null,"Bracket #2",null,"Bracket #3"]
[null,null,"Min L'","Max L'","Min L'","Max L'","Min L'","Max L'"]
[null,6,12,29,9,12," - ",9]
[null,8,14,29,10,14," - ",10]
[null,10,16,29,11,16," - ",11]
[null,12,18,29,13,18," - ",13]
[null,14,19,29,14,19," - ",14]
[null,16,21,29,15,21," - ",15]
[null,18,23,29,16,23," - ",16]
[null,21,25,29,18,25," - ",18]
[null,"5. Coupling Diameter at Critical Section",null,null,null,null,"Dcoupling = ",0.58499999999999996]
[]
["IX. Torsional Stiffness - Aluminum Sign Panels"]
[null,"1. Torsional Stiffness Variables"]
[null,null,"Torsional Stiffness Lower Limit",null,null,null,"T/f =  ",100]
[null,null,"Modulus of Rigidity (Aluminum Alloy 6061-T6)",null,null,null,"G =",{"$f":"3700000","v":3700000}]
[]
[null,"2. Edge Detail Type 1"]
[null,null,"Component","Quantity","h","t1","t2","J (in4)"]
[null,null,"A",2,0.312,0.188,0.188,{"$f":"D133*1/3*E133*(((F133+G133)/2)^3)","v":1.3820917759999999E-3}]
[null,null,"B",2,0.34399999999999997,8.4000000000000005E-2,0.17399999999999999,{"$f":"D134*1/3*E134*(((F134+G134)/2)^3)","v":4.9230734399999991E-4}]
[null,null,"C",2,0.73099999999999998,0.188,9.4E-2,{"$f":"D135*1/3*E135*(((F135+G135)/2)^3)","v":1.3661030340000001E-3}]
[null,null,"D",1,1.919,0.125,0.125,{"$f":"D136*1/3*E136*(((F136+G136)/2)^3)","v":1.2493489583333332E-3}]
[null,null,"E",1,12,8.1000000000000003E-2,8.1000000000000003E-2,{"$f":"D137*1/3*E137*(((F137+G137)/2)^3)","v":2.125764E-3}]
[null,null,"F",2,1.4810000000000001,8.1000000000000003E-2,8.1000000000000003E-2,null,{"$f":"D138*1/3*E138*(((F138+G138)/2)^3)","v":5.2470941400000002E-4}]
[null,null,"G",1,1.4810000000000001,{"$f":"2*0.081","v":0.16200000000000001},{"$f":"0.081","v":8.1000000000000003E-2},{"$f":"D139*1/3*E139*(((F139+G139)/2)^3)","v":8.8544713612499998E-4},{"$f":"-1*D139*1/3*E139*(((F139+G139)/2)^3)","v":-8.8544713612499998E-4}]
[null,null,"H",2,0.25,0.125,0.125,null,{"$f":"D140*1/3*E140*(((F140+G140)/2)^3)","v":3.2552083333333332E-4}]
[null,null,"I",1,0.25,{"$f":"2*0.125","v":0.25},0.125,{"$f":"D141*1/3*E141*(((F141+G141)/2)^3)","v":5.4931640625E-4},{"$f":"-1*D141*1/3*E141*(((F141+G141)/2)^3)","v":-5.4931640625E-4}]
[null,null,"J",2,0.26400000000000001,0.188,0.188,null,{"$f":"D142*1/3*E142*(((F142+G142)/2)^3)","v":1.169462272E-3}]
[null,null,"K",1,0.26400000000000001,0.188,0.188,{"$f":"D143*1/3*E143*(((F143+G143)/2)^3)","v":5.8473113600000001E-4},{"$f":"-1*D143*1/3*E143*(((F143+G143)/2)^3)","v":-5.8473113600000001E-4}]
[null,null,null,null,null,null,"Je = SJ = ",{"$f":"SUM(H133:H143)","v":8.6351097907083323E-3},{"$f":"SUM(I133:I143)","v":1.9784095833341817E-7}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"3. Edge Detail Type 2"]
[null,null,"Component","Quantity","h","t1","t2","J (in4)"]
[null,null,"A",2,0.13900000000000001,0.125,0.125,{"$f":"D156*1/3*E156*(((F156+G156)/2)^3)","v":1.8098958333333335E-4}]
[null,null,"B",2,0.45300000000000001,7.8E-2,7.8E-2,{"$f":"D157*1/3*E157*(((F157+G157)/2)^3)","v":1.43314704E-4}]
[null,null,"C",2,0.68700000000000006,7.8E-2,7.8E-2,{"$f":"D158*1/3*E158*(((F158+G158)/2)^3)","v":2.17344816E-4}]
[null,null,"D",1,1.875,7.8E-2,7.8E-2,{"$f":"D159*1/3*E159*(((F159+G159)/2)^3)","v":2.9659499999999997E-4}]
[null,null,"E",1,12,0.125,0.125,{"$f":"D160*1/3*E160*(((F160+G160)/2)^3)","v":7.8125E-3}]
[null,null,"F",2,1.75,7.8E-2,7.8E-2,null,{"$f":"D161*1/3*E161*(((F161+G161)/2)^3)","v":5.5364399999999995E-4}]
[null,null,"G",1,1.75,{"$f":"2*0.078","v":0.156},{"$f":"2*0.078","v":0.156},{"$f":"D162*1/3*E162*(((F162+G162)/2)^3)","v":2.2145759999999998E-3},{"$f":"-1*D162*1/3*E162*(((F162+G162)/2)^3)","v":-2.2145759999999998E-3}]
[null,null,"H",2,0.217,0.125,0.125,null,{"$f":"D163*1/3*E163*(((F163+G163)/2)^3)","v":2.8255208333333333E-4}]
[null,null,"I",1,{"$f":"2*0.217","v":0.434},0.125,0.125,{"$f":"D164*1/3*E164*(((F164+G164)/2)^3)","v":2.8255208333333333E-4},{"$f":"-1*D164*1/3*E164*(((F164+G164)/2)^3)","v":-2.8255208333333333E-4}]
[null,null,null,null,null,null,"Je = SJ = ",{"$f":"SUM(H156:H164)","v":1.1147872186666666E-2},{"$f":"SUM(I161:I164)","v":-1.6609319999999999E-3}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"4. Comparison Table - Indicates Limiting Widths for Torsional Stiffness"]
[null,null,"Type 1",null,"Type 2"]
[null,null,"H","W","H","W"]
[null,null,0,0,0,0]
[null,null,{"$f":"1+C178","v":1},{"$f":"($H$144*C179+$I$144)*$H$129/($H$128*12*3/5*12)","v":3.6979905367091046},{"$f":"1+E178","v":1},{"$f":"($H$165*E179+$I$165)*$H$129/($H$128*12*3/5*12)","v":4.0626942929012335}]
[null,null,{"$f":"1+C179","v":2},7.3958963498596644,2,8.8366673358024688]
[null,null,3,11.093802163010222,3,13.610640378703705]
[null,null,4,14.791707976160779,4,18.384613421604939]
[null,null,5,18.489613789311342,5,23.158586464506172]
[null,null,6,22.187519602461897,6,27.932559507407404]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
["X. Torsional Stiffness - Aluminum Channels"]
[null,"1. Torsional Stiffness Variables"]
[null,null,"Torsional Stiffness Lower Limit",null,null,null,"T/f =  ",100]
[null,null,"Modulus of Rigidity (Aluminum Allow 6061-T6)",null,null,null,"G =",{"$f":"3700000","v":3700000}]
[]
[null,"2. Typical Channel Section"]
[null,null,"Component","Quantity","ds","t","ds/t","W"]
[null,null,"A",1,{"$f":"13/16","v":0.8125},7.8E-2,{"$f":"D215*E215/F215","v":10.416666666666666},1.145]
[null,null,"B",2,{"$f":"3/8","v":0.375},8.3000000000000004E-2,{"$f":"D216*E216/F216","v":9.0361445783132517}]
[null,null,"C",2,{"$f":"5/8","v":0.625},8.3000000000000004E-2,{"$f":"D217*E217/F217","v":15.060240963855421}]
[null,null,"D",1,{"$f":"1+3/8","v":1.375},9.6000000000000002E-2,{"$f":"D218*E218/F218","v":14.322916666666666}]
[null,null,null,null,null,"Jeff = ","4W2/∫ ds/t = ",{"$f":"(4*H215^2)/SUM(G215:G218)","v":0.10738191789270801}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"3. Typical Sign Section"]
[null,null,"Component","Sign Height","Sign Thickness"]
[null,null,"Sign","H","0.08","-"]
[null,"* Note:"]
[null,"i. Maximum Channel Spacing is estimated based on Allowable Bending Stress of Sign Panel"]
[null,"ii. Limit values of Channel Spacing for adequate Torsional Stiffness is shown in the chart"]
[null,"below. Sign thickness is taken as ",null,null,{"$f":"E231","v":"0.08"}," for plotting this chart."]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,24.219952576813725]
[]
[]
[]
[]
[]
[]
["XI. Bending Strength - Aluminium Sign Panel"]
[null,"1. Analysis data:"]
[null,null,"Minimum Section Modulus",null,null,null,"Smin   =",0.60499999999999998]
[null,null,"Design Wind Pressure",null,null,null,"Pz   =",23.080190102610729]
[null,null,"Spacing between supporting posts",null,null,null,"(3/5)W  =",{"$f":"H5*3/5","v":9}]
[null,"2.Sign Panel Strength: Aluminum Alloy 6063-T6"]
[null,null,"Tensile Ultimate Strength",null,null,null,"Ftu = ",30000]
[null,null,"Tensile Yield Strength",null,null,null,"Fty = ",25000]
[null,null,"Shear Yield Strength",null,null,null,"Fsy = ",14000]
[null,"3. Sign Panel's Bending Strength check:"]
[null,null,"Allowable Bending Stress of Sign Panel is the SMALLER of:"]
[null,null,"Fb1","=  1.3  x        Fty   /       Ny   "]
[null,null,null,{"$f":"1.3","v":1.3},{"$f":"H277","v":25000},null,{"$f":"H110","v":1.65}]
[null,null,null,{"$f":"D282*E282/G282","v":19696.9696969697}]
[null,null,"Fb2","=  1.42  x        Ftu   /   ( Kt  x   Nu  )"]
[null,null,null,{"$f":"1.42","v":1.42},{"$f":"H276","v":30000},null,{"$f":"H111","v":1},{"$f":"H109","v":1.95}]
[null,null,null,{"$f":"D285*E285/(G285*H285)","v":21846.153846153848}]
[null,null,"Therefore, Allowable Bending Stress, Fb:"]
[null,null,null,"=   1.33   x",{"$f":"MIN(D283,D286)","v":19696.9696969697}]
[null,null,null,{"$f":"1.33*E288","v":26196.969696969703}]
[null,null,"Allowable Bending Moment based on minimum Section Modulus (conservative):"]
[null,null,"Mallowable","=   Fb  x   S"]
[null,null,null,{"$f":"D289*H272","v":15849.16666666667}]
[null,null,"Maximum Bending Moment due to Wind Load on Sign Panel:"]
[null,null,"Mmax","=   1/8 x  (Wind Pressure  *  1') x (Post Spacing )2        (2 pinned supports)"]
[null,null,null,{"$f":"12*(1/8)*H273*H274^2","v":2804.2430974672034}]
[]
[null,null,"Combined Stress Ratio for Bending:",null,null,null,"CSR  =",{"$f":"D295/D292","v":0.17693315720914052},{"$f":"IF(H297<1.004, \"< 1.0 : OK!\", \"> 1.0:  NOT OK!\")","v":"< 1.0 : OK!"}]
[]
[]
["XII. Explanatory Notes:"]
[null,"1. K-value determination:"]
[null,"The K-value is determined in the reference of Table C-C2.1, Section C-C2, AISC Manual of"]
[null,"Steel Construction, Ninth Edition."]
[]
[null,"Direction",null,"Perpendicular to Traffic",null,null,"Parallel to Traffic"]
[null,"End condition",null,"Rotation fixed and translation free Case (c)",null,null,"Rotation free and translation free Case (e)"]
[null,"Buckling shape"]
[null,"Theorectical K-value",null,1,null,null,2]
[null,"Design value",null,1.2,null,null,2.1]
[null,"Average K-value"]
[null,"* Designers may use a less conservative value of K (less than the average value), but"]
[null,"it should never be less than 1.2"]
[]
[null,"2. Wind speed determination:"]
[null,"a.  ","From Table 3-2 of AASHTO Sign Support Standard Specifications, the Wind Importance Factor Ir can be determined as below:"]
[null,null,null,"V","Ir",null,"V2Ir"]
[null,null,null,"100 mph",0.71,null,7100]
[null,null,null,"110 mph",0.54,null,"6534 (<7100)"]
[null,null,null,"115 mph",0.54,null,"7140 (~7100)"]
[null,null,"It can be observed that the combination of wind velocity V = 100 mph and Ir = 0.71 produces the control wind pressure for areas that have wind velocity of up to 115 mph."]
[null,"b.  ","According to the wind map in the 2009 Code, the maximum wind velocity for 90%+ of Connecticut can be taken to be 115 mph, except for a small area on the coast line at the border with Rhode Island that has V = 120 mph."]
[null,null,"Considering the overall cost of all the side mounted sign supports in Connecticut, in terms of post sizes, the value V = 100 mph was determined to be the appropriate wind speed for design."]

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[null,"W (lb/ft)","A (in2)","D (in)","Bf (in)","Tw (in)","Tf (in)","Ix (in4)","Sx (in3)","Rx (in)","Iy (in4)","Sy (in3)","Ry (in)","Rt (in)"]
["W6 x 9",9,2.68,5.9,3.94,0.17,0.215,16.399999999999999,5.56,2.4700000000000002,2.2000000000000002,1.1100000000000001,0.90500000000000003,{"$f":"SQRT((E3^3*G3/12)/(E3*G3+(C3-2*E3*G3)/6))","v":1.0409058876305588},1]
["W8 x 10",10,2.96,7.89,3.94,0.17,0.20499999999999999,30.8,7.81,3.22,2.09,1.06,0.84099999999999997,{"$f":"SQRT((E4^3*G4/12)/(E4*G4+(C4-2*E4*G4)/6))","v":1.0063125257733465},2]
["W6 x 12",12,3.55,6.03,4,0.23,0.28000000000000003,22.1,7.31,2.4900000000000002,2.99,1.5,0.91800000000000004,1.0563217744409876,3]
["W10 x 12",12,3.54,9.8699999999999992,3.96,0.19,0.21,53.8,10.9,3.9,2.1800000000000002,1.1000000000000001,0.78500000000000003,0.97447988439430067,4]
["W8 x 13",13,3.84,7.99,4,0.23,0.255,39.6,9.91,3.21,2.73,1.37,0.84299999999999997,1.0150384378451045,5]
["W12 x 14",14,4.16,11.9,3.97,0.2,0.22500000000000001,88.6,14.9,4.62,2.36,1.19,0.753,0.95408708328194658,6]
["W6 x 15",15,4.45,5.99,5.99,0.23,0.26,29.3,9.77,2.56,9.32,3.11,1.45,1.6174632293234417,7]
["W8 x 15",15,4.4400000000000004,8.11,4.01,0.245,0.315,48,11.8,3.29,3.41,1.7,0.876,1.0343422089556382,8]
["W10 x 15",15,4.41,9.99,4,0.23,0.27,68.900000000000006,13.8,3.95,2.89,1.45,0.81,0.99483200674761396,9]
["W6 x 16",16,4.74,6.28,4.03,0.26,0.40500000000000003,32.1,10.199999999999999,2.6,4.43,2.2000000000000002,0.96699999999999997,1.0845138470591427,10]
["W12 x 16",16,4.71,12,3.99,0.22,0.26500000000000001,103,17.100000000000001,4.67,2.82,1.41,0.77300000000000002,0.97031578701228516,11]
["W10 x 17",17,4.99,10.1,4.01,0.24,0.33,81.900000000000006,16.2,4.05,3.56,1.78,0.84499999999999997,1.0171719837008191,12]
["W8 x 18",18,5.26,8.14,5.25,0.23,0.33,61.9,15.2,3.43,7.97,3.04,1.23,1.3995198879383703,13]
["W10 x 19",19,5.62,10.199999999999999,4.0199999999999996,0.25,0.39500000000000002,96.3,18.8,4.1399999999999997,4.29,2.14,0.874,1.0352530789547945,14]
["W12 x 19",19,5.57,12.2,4.01,0.23499999999999999,0.35,130,21.3,4.82,3.76,1.88,0.82199999999999995,1.0044700778269318,15]
["W6 x 20",20,5.89,6.2,6.02,0.26,0.36499999999999999,41.5,13.4,2.66,13.3,4.41,1.5,1.6469293813022363,16]
["W8 x 21",21,6.16,8.2799999999999994,5.27,0.25,0.4,75.3,18.2,3.49,9.77,3.71,1.26,1.4163595335927677,17]
["W10 x 22",22,6.49,10.199999999999999,5.75,0.24,0.36,118,23.2,4.2699999999999996,11.4,3.97,1.33,1.5221160728410574,18]
["W12 x 22",22,6.48,12.3,4.03,0.26,0.42499999999999999,156,25.4,4.91,4.66,2.31,0.84799999999999998,1.0214230924112198,19]
["W14 x 22",22,6.49,13.7,5,0.23,0.33500000000000002,199,29,5.54,7,2.8,1.04,1.2599114256988546,20]
["W8 x 24",24,7.08,7.93,6.5,0.245,0.4,82.7,20.9,3.42,18.3,5.63,1.61,1.7726145862527141,21]
["W6 x 25",25,7.36,6.38,6.08,0.32,0.45500000000000002,53.6,16.8,2.7,17.100000000000001,5.61,1.52,1.6658475328729045,22]
["W10 x 26",26,7.61,10.3,5.77,0.26,0.44,144,27.9,4.3499999999999996,14.1,4.8899999999999997,1.36,1.5423751148728209,23]
["W12 x 26",26,7.65,12.2,6.49,0.23,0.38,204,33.4,5.17,17.3,5.34,1.51,1.7220321461783863,24]
["W14 x 26",26,7.69,13.9,5.03,0.255,0.42,245,35.299999999999997,5.65,8.91,3.55,1.08,1.2867805216130319,25]
["W16 x 26",26,7.68,15.7,5.5,0.25,0.34499999999999997,301,38.4,6.26,9.59,3.49,1.1200000000000001,1.3709419488483034,26]
["W8 x 28",28,8.24,8.06,6.54,0.28499999999999998,0.46500000000000002,98,24.3,3.45,21.7,6.63,1.62,1.7853204792145778,27]
["W10 x 30",30,8.84,10.5,5.81,0.3,0.51,170,32.4,4.38,16.7,5.75,1.37,1.5546364869235105,28]
["W12 x 30",30,8.7899999999999991,12.3,6.52,0.26,0.44,238,38.6,5.21,20.3,6.24,1.52,1.7346317325294653,29]
["W14 x 30",30,8.85,13.8,6.73,0.27,0.38500000000000001,291,42,5.73,19.600000000000001,5.82,1.49,1.747538730668263,30]
["W8 x 31",31,9.1199999999999992,8,8,0.28499999999999998,0.435,110,27.5,3.47,37.1,9.27,2.02,2.1984843263788196,31]
["W16 x 31",31,9.1300000000000008,15.9,5.53,0.27500000000000002,0.44,375,47.2,6.41,12.4,4.49,1.17,1.4044166105048417,32]
["W10 x 33",33,9.7100000000000009,9.73,7.96,0.28999999999999998,0.435,171,35,4.1900000000000004,36.6,9.1999999999999993,1.94,2.157783672288371,33]
["W14 x 34",34,10,14,6.75,0.28499999999999998,0.45500000000000002,340,48.6,5.83,23.3,6.91,1.53,1.771903396115293,34]
["W8 x 35",35,10.3,8.1199999999999992,8.02,0.31,0.495,127,31.2,3.51,42.6,10.6,2.0299999999999998,2.208348704189889,35]
["W12 x 35",35,10.3,12.5,6.56,0.3,0.52,285,45.6,5.25,24.5,7.47,1.54,1.7508011616097077,36]
["W18 x 35",35,10.3,17.7,6,0.3,0.42499999999999999,510,57.6,7.04,15.3,5.12,1.22,1.4963369908693369,37]
["W16 x 36",36,10.6,15.9,6.99,0.29499999999999998,0.43,448,56.5,6.51,24.5,7,1.52,1.8016142801391757,38]
["W14 x 38",38,11.2,14.1,6.77,0.31,0.51500000000000001,385,54.6,5.87,26.7,7.88,1.55,1.7825242097148448,39]
["W10 x 39",39,11.5,9.92,7.99,0.315,0.53,209,42.1,4.2699999999999996,45,11.3,1.98,2.1801555079814734,40]
["W8 x 40",40,11.7,8.25,8.07,0.36,0.56000000000000005,146,35.5,3.53,49.1,12.2,2.04,2.2230555026161123,41]
["W12 x 40",40,11.7,11.9,8.01,0.29499999999999998,0.51500000000000001,307,51.5,5.13,44.1,11,1.94,2.1662482084617674,42]
["W16 x 40",40,11.8,16,7,0.30499999999999999,0.505,518,64.7,6.63,28.9,8.25,1.57,1.8272280998586017,43]
["W18 x 40",40,11.8,17.899999999999999,6.02,0.315,0.52500000000000002,612,68.400000000000006,7.21,19.100000000000001,6.35,1.27,1.5307033084316706,44]
["W14 x 43",43,12.6,13.7,8,0.30499999999999999,0.53,428,62.6,5.82,45.2,11.3,1.89,2.1424253705089171,45]
["W21 x 44",44,13,20.7,6.5,0.35,0.45,843,81.599999999999994,8.06,20.7,6.37,1.26,1.5816588560249347,46]
["W10 x 45",45,13.3,10.1,8.02,0.35,0.62,248,49.1,4.32,53.4,13.3,2.0099999999999998,2.195034700196973,47]
["W12 x 45",45,13.1,12.1,8.0500000000000007,0.33500000000000002,0.57499999999999996,348,57.7,5.15,50,12.4,1.95,2.1780415076463817,48]
["W16 x 45",45,13.3,16.100000000000001,7.04,0.34499999999999997,0.56499999999999995,586,72.7,6.65,32.799999999999997,9.34,1.57,1.8369589980682479,49]
["W18 x 46",46,13.5,18.100000000000001,6.06,0.36,0.60499999999999998,712,78.8,7.25,22.5,7.43,1.29,1.5460203494119589,50]
["W8 x 48",48,14.1,8.5,8.11,0.4,0.68500000000000005,184,43.2,3.61,60.9,15,2.08,2.2427469733457479,51]
["W14 x 48",48,14.1,13.8,8.0299999999999994,0.34,0.59499999999999997,484,70.2,5.85,51.4,12.8,1.91,2.1536405079449152,52]
["W21 x 48",48,14.1,20.6,8.14,0.35,0.43,959,93,8.24,38.700000000000003,9.52,1.66,2.0314048981754915,53]
["W10 x 49",49,14.4,9.98,10,0.34,0.56000000000000005,272,54.6,4.3499999999999996,93.4,18.7,2.54,2.7583864218368519,54]
["W12 x 50",50,14.6,12.2,8.08,0.37,0.64,391,64.2,5.18,56.3,13.9,1.96,2.1872488671101942,55]
["W16 x 50",50,14.7,16.3,7.07,0.38,0.63,659,81,6.68,37.200000000000003,10.5,1.59,1.8502617416620353,56]
["W18 x 50",50,14.7,18,7.5,0.35499999999999998,0.56999999999999995,800,88.9,7.38,40.1,10.7,1.65,1.9444678420275416,57]
["W21 x 50",50,14.7,20.8,6.53,0.38,0.53500000000000003,984,94.5,8.18,24.9,7.64,1.3,1.6117066953108312,58]
["W12 x 53",53,15.6,12.1,9.99,0.34499999999999997,0.57499999999999996,425,70.599999999999994,5.23,95.8,19.2,2.48,2.7258561374173711,59]
["W14 x 53",53,15.6,13.9,8.06,0.37,0.66,541,77.8,5.89,57.7,14.3,1.92,2.164579282146331,60]
["W10 x 54",54,15.8,10.1,10,0.37,0.61499999999999999,303,60,4.37,103,20.6,2.56,2.7588740708147337,61]
["W18 x 55",55,16.2,18.100000000000001,7.53,0.39,0.63,890,98.3,7.41,44.9,11.9,1.67,1.9553611589808588,62]
["W21 x 55",55,16.2,20.8,8.2200000000000006,0.375,0.52200000000000002,1140,110,8.4,48.4,11.8,1.73,2.084457713244948,63]
["W16 x 57",57,16.8,16.399999999999999,7.12,0.43,0.71499999999999997,758,92.2,6.72,43.1,12.1,1.6,1.8633801390718399,64]
["W21 x 57",57,16.7,21.1,6.56,0.40500000000000003,0.65,1170,111,8.36,30.6,9.35,1.35,1.6486252626194295,65]
["W8 x 58",58,17.100000000000001,8.75,8.2200000000000006,0.51,0.81,228,52,3.65,75.099999999999994,18.3,2.1,{"$f":"SQRT((E68^3*G68/12)/(E68*G68+(C68-2*E68*G68)/6))","v":2.2679401833684909},66]
["W12 x 58",58,17,12.2,10,0.36,0.64,475,78,5.28,107,21.4,2.5099999999999998,2.7407548393101266,67]
["W10 x 60",60,17.600000000000001,10.199999999999999,10.1,0.42,0.68,341,66.7,4.3899999999999997,116,23,2.57,2.787841664551606,68]
["W18 x 60",60,17.600000000000001,18.2,7.56,0.41499999999999998,0.69499999999999995,984,108,7.47,50.1,13.3,1.68,1.9718412892681729,69]
["W14 x 61",61,17.899999999999999,13.9,9.99,0.375,0.64500000000000002,640,92.1,5.98,107,21.5,2.4500000000000002,2.7133174791085612,70]
["W21 x 62",62,18.3,21,8.24,0.4,0.61499999999999999,1330,127,8.5399999999999991,57.5,14,1.77,2.1119630038072548,71]
["W18 x 65",65,19.100000000000001,18.399999999999999,7.59,0.45,0.75,1070,117,7.49,54.8,14.4,1.69,1.9789135274448881,72]
["W8 x 67",67,19.7,9,8.2799999999999994,0.56999999999999995,0.93500000000000005,272,60.4,3.72,88.6,21.4,2.12,2.2886156342771211,73]
["W12 x 65",65,19.100000000000001,12.1,12,0.39,0.60499999999999998,533,87.9,5.28,174,29.1,3.02,3.2951980018215861,74]
["W16 x 67",67,20,16.3,10.199999999999999,0.39500000000000002,0.66500000000000004,970,119,6.97,119,23.2,2.44,2.7361389466542914,75]
["W10 x 68",68,20,10.4,10.1,0.47,0.77,394,75.7,4.4400000000000004,134,26.4,2.59,2.7859157740895339,76]
["W14 x 68",68,20,14,10,0.41499999999999998,0.72,722,103,6.01,121,24.2,2.46,2.7160723812755561,77]
["W21 x 68",68,20,21.1,8.27,0.43,0.68500000000000005,1480,140,8.6,64.7,15.7,1.8,2.1309788763480269,78]
["W18 x 71",71,20.8,18.5,7.64,0.495,0.81,1170,127,7.5,60.3,15.8,1.7,1.99116017530879,79]
["W12 x 72",72,21.1,12.3,12,0.43,0.67,597,97.4,5.31,195,32.4,3.04,3.2968082745435412,80]
["W21 x 73",73,21.5,21.2,8.3000000000000007,0.45500000000000002,0.74,1600,151,8.64,70.599999999999994,17,1.81,2.1429810048260434,81]
["W14 x 74",74,21.8,14.2,10.1,0.45,0.78500000000000003,795,112,6.04,134,26.6,2.48,2.7489585034759334,82]
["W18 x 76",76,22.3,18.2,11,0.42499999999999999,0.68,1330,146,7.73,152,27.6,2.61,2.9438118726629865,83]
["W10 x 77",77,22.6,10.6,10.199999999999999,0.53,0.87,455,85.9,4.49,154,30.1,2.6,2.8188487281200874,84]
["W16 x 77",77,22.9,16.5,10.3,0.45500000000000002,0.76,1120,136,7,138,26.9,2.46,2.7675783242503416,85]
["W12 x 79",79,23.2,12.4,12.1,0.47,0.73499999999999999,662,107,5.34,216,35.799999999999997,3.05,3.3282359158314221,86]
["W14 x 82",82,24,14.3,10.1,0.51,0.85499999999999998,881,123,6.05,148,29.3,2.48,2.7429402192589261,87]
["W21 x 83",83,24.3,21.4,8.36,0.51500000000000001,0.83499999999999996,1830,171,8.67,81.400000000000006,19.5,1.83,2.161271081962421,88]
["W18 x 86",86,25.3,18.399999999999999,11.1,0.48,0.77,1530,166,7.77,175,31.6,2.63,2.9750902788251254,89]
["W12 x 87",87,25.6,12.5,12.1,0.51500000000000001,0.81,740,118,5.38,241,39.700000000000003,3.07,3.3273973041371296,90]
["W10 x 88",88,25.9,10.8,10.3,0.60499999999999998,0.99,534,98.5,4.54,179,34.799999999999997,2.63,2.8479646216560379,91]
["W16 x 89",89,26.4,16.8,10.4,0.52500000000000002,0.875,1310,157,7.05,163,31.4,2.48,2.7993629848626469,92]
["W14 x 90",90,26.5,14,14.5,0.44,0.71,999,143,6.14,362,49.9,3.7,3.9988582054630952,93]
["W21 x 93",93,27.3,21.6,8.42,0.57999999999999996,0.93,2070,192,8.6999999999999993,92.9,22.1,1.84,2.1760196681670632,94]
["W12 x 96",96,28.2,12.7,12.2,0.55000000000000004,0.9,833,131,5.44,270,44.4,3.09,3.3660312519866893,95]
["W18 x 97",97,28.5,18.600000000000001,11.1,0.53500000000000003,0.87,1750,188,7.82,201,36.1,2.65,2.976989086972647,96]
["W14 x 99",99,29.1,14.2,14.6,0.48499999999999999,0.78,1110,157,6.17,402,55.2,3.71,4.0321888419837713,97]
["W10 x 100",100,29.4,11.1,10.3,0.68,1.1200000000000001,623,112,4.5999999999999996,207,40,2.65,2.8460980793434376,98]
["W16 x 100",100,29.7,17,10.4,0.58499999999999996,0.98499999999999999,1500,177,7.1,186,35.700000000000003,2.5,2.7997364105451892,99]
["W21 x 101",101,29.8,21.4,12.3,0.5,0.8,2420,227,9.02,248,40.299999999999997,2.89,3.2806520462352182,100]
["W12 x 106",106,31.2,12.9,12.2,0.61,0.99,933,145,5.47,301,49.3,3.11,3.362219066930288,101]
["W18 x 106",106,31.1,18.7,11.2,0.59,0.94,1910,204,7.84,220,39.4,2.66,3.0032039566693287,102]
["W14 x 109",109,32,14.3,14.6,0.52500000000000002,0.86,1240,173,6.22,447,61.2,3.73,4.0342630385553377,103]
["W21 x 111",111,32.700000000000003,21.5,12.3,0.55000000000000004,0.875,2670,249,9.0500000000000007,274,44.5,2.9,3.2783504515485098,104]
["W10 x 112",112,32.9,11.4,10.4,0.755,1.25,716,126,4.66,236,45.3,2.68,2.8776380839648761,105]
["W18 x 119",119,35.1,19,11.3,0.65500000000000003,1.06,2190,231,7.9,253,44.9,2.69,3.0351849585911403,106]
["W12 x 120",120,35.299999999999997,13.1,12.3,0.71,1.1100000000000001,1070,163,5.51,345,56,3.13,3.3891854213860353,107]
["W14 x 120",120,35.299999999999997,14.5,14.7,0.59,0.94,1380,190,6.24,495,67.5,3.74,4.0600179357767345,108]
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["Coupling Design",null,null,null,null,null,"Analysis Result (Coupling Design)"]
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["Actual Coupling Shear",null,null,"fv,act =",3070.8997488229629,null,"Allowable Coupling Tension",null,null,null,"Ft,allow = ",103740]
["Allowable Coupling Shear",null,null,"Fv,allow =",57057.000000000007,null,"Combined Stress Ratio",null,null,null,"CSR = ",0.8419433216105221]
["Safety Check",null,null,null,null,null,"Torsional Stiffness and Bending Strength"]
["OK",null,null,null,null,null,"Torsional Stiffness Check",null,null,null,null,"OK"]
["Post Unit Weight < 18 lb/ft (for Clearance < 7 ft.)",null,null,null,null,"N/A","Aluminum Panel Bending Capacity check:",null,null,null,null,"OK",null,0]
["Post Unit Weight ≤ 45 lb/ft (for Clearance ≥ 7 ft.)",null,null,null,null,"OK",null,null,null,null,null,null,null,1]
["Total Weight below Hinge ≤ 600 lbs.",null,null,null,null,"OK",null,null,null,null,null,null,null,0.93159985532407408]

{"sheet":"Merritt","index":5,"n_rows":39,"n_cols":256,"rows_kept":39,"cut":false,"hidden":false,"merged":[[22,0,23,0],[22,1,22,19],[0,0,0,19],[21,0,21,19],[1,0,2,0],[1,1,1,19]]}
["SPACING REQUIREMENTS"]
["W","H"]
[null,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22]
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[21,3.5918384410455459,3.5948824949469906,3.5768050864458218,3.5589890092718828,3.5416801802737776,3.5249751415293207,3.5089019003282762,3.5023879759782806,3.5032518130762811,3.5023325121770856,3.5000771710208145,3.496812621663461,3.4927819039883161,3.4881683990521499,3.4831122061232964,3.4777215042051819,3.4720805886339856,3.4662556544849772,3.4502498436684292]
[22,3.5895984417999021,3.5938821102066107,3.5759739478064039,3.558279128141999,3.5410613840464156,3.524427232123426,3.5084106982680088,3.4930107490412148,3.4945696391009444,3.494253303003259,3.4925257551665236,3.4897268745209176,3.4861099171816736,3.481866373310377,3.4771428577670327,3.472052842728313,3.4666849667435948,3.4611090211274256,3.4553803295412866]
[null,"NOTE : ","Result = \"-NA-\" = No Spacing Restriction"]
[null,null,"Result = \"Number\" = Spacing Req'd"]
[]
["SPACING REQUIREMENTS"]
["W","H"]
[null,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22]
[8,3.6091522339562387,3.6491286264747278,3.6567291553209027,3.6573650552620673,3.6538745950067182,3.6210399387137371,3.5894658160521402,3.5590470427052701,3.5296918244955138,3.5013195454134034,3.4738589953354033,3.4472469365894973,3.4214269344972976,3.4082154771881483,3.395480461516124,3.3831891295820777,3.3713119461137122,3.3598221920445468,3.348695619946346]
[9,3.6078891885163515,3.6273425892174429,3.6382139520200258,3.6412886475229782,3.6396847371487664,3.6351571070233657,3.604904449949716,3.5757669799125176,3.5476547487715013,3.5204888417895961,3.4941996233456165,3.4687253184489104,3.4440108558141733,3.4200069167073548,3.3966691471683319,3.3844389102824892,3.3726224658701547,3.3611931084458777,3.3501266031252857]
[10,3.6066274681810317,3.6059421511823557,3.6199771757659529,3.625422390578112,3.6256589249112792,3.6226003955578636,3.617399823464893,3.5893139327801209,3.5622242340962877,3.5360530581074006,3.5107319206931247,3.4862001157882077,3.462403567947415,3.4392938891897651,3.4168275980147587,3.3949654682634662,3.373671982766842,3.3622910506464252,3.3512727114404757]
[11,3.605367070634879,3.6049325075531056,3.6020119175984457,3.6097617454834787,3.6117940216396973,3.6101729133207425,3.6061481637869428,3.600513067428698,3.5742791728971723,3.5489421208205516,3.5244342997581861,3.5006958128895924,3.4776733380310119,3.4553191907448997,3.4335905486645899,3.4124488048854382,3.3918590255048122,3.3717894918250639,3.3522113118541843]
[12,3.6041079935681499,3.6039237115329184,3.5843115062162987,3.5943023093681141,3.5980869740070607,3.597872458776894,3.5950008475836621,3.5903277200995265,3.5844189923413907,3.5597913519074709,3.5359763377173441,3.5129146835930389,3.4905536537430311,3.4688461109206377,3.4477497450184074,3.4272264300957609,3.4072416850367504,3.3877642184426464,3.3687655424663401]
[13,3.6028502346767457,3.6029157619364933,3.5834751250344037,3.5790398102337497,3.5845348091893059,3.5856968825430822,3.5839562720278066,3.5802283253530747,3.5751208729377812,3.5690496025284553,3.5458317557414905,3.5233542747612829,3.5015648913582686,3.4804169041405193,3.4598684106614992,3.4398816674354333,3.4204225531525334,3.4014601157742272,3.3829661882755713]
[14,3.6015937916621898,3.601908657580847,3.5826393290755054,3.5639701019953445,3.5711346321567254,3.5736440858102299,3.5730128685512756,3.5702136810497938,3.5658947391752456,3.5605009684503326,3.5543451695703356,3.5323769637337623,3.5110864993948763,3.4904274294029602,3.4703581823122032,3.4508413248980632,3.4318430275106002,3.4133326130087891,3.3952821740938472]
[15,3.600338662231616,3.6009023972853114,3.5818041176574478,3.563257236681284,3.5578836230759703,3.5617120188236426,3.5621691019093498,3.5602826084577157,3.5567396669726592,3.5520134689685734,3.5464378290312326,3.5402529533637157,3.5194016951716112,3.4991734474326157,3.4795269121148387,3.4604249120383663,3.441833858044236,3.4237232994888056,3.4060655429251567]
[16,3.5990848440977445,3.599896979871525,3.5809694900991853,3.5625447989581414,3.54477903481733,3.549898679418686,3.5514234692759725,3.5504339516696937,3.5476547487715013,3.5435863788779778,3.5385830290685778,3.5329003951604681,3.5267261603163984,3.5068803879869819,3.4876094477719044,3.4688763769467479,3.4506477876052042,3.4328934184944324,3.4155857548542046]
[17,3.5978323349788699,3.5988924041634278,3.5801354457207832,3.5618327883986258,3.5441586131735101,3.538202111609531,3.5407744993688777,3.5406665770382646,3.5386390931579546,3.5352189849602613,3.5307801904020377,3.5255934578756221,3.5198581379068385,3.5137230879335952,3.4947880682959891,3.4763852038660477,3.4584812773404252,3.4410461878829843,3.4240525719695838]
[18,3.5965811325988386,3.5978886689872578,3.5793019838434148,3.5611212045760428,3.5435385171818563,3.5266204042287197,3.5302207516034003,3.5309793726275331,3.5296918244955138,3.5269105857305063,3.5230287426535316,3.5183316716736273,3.5130300846527187,3.5072817936299141,3.5012064172629223,3.4831008136912835,3.4654893519583396,3.4483420686515536,3.4316317297069912]
[19,3.5953312346870363,3.5968857731715409,3.5784691037893599,3.560410047064293,3.5429187465575827,3.5260717273830458,3.5197608152738682,3.5213712476814543,3.5208120825677618,3.5186604911901482,3.5153281241721093,3.5111145734653122,3.5062416143777777,3.5008757941387354,3.4951437176194862,3.4891426236331085,3.4717959801996674,3.4549094516873464,3.4384559159691315]
[20,3.5940826389783687,3.5958837155470884,3.5776368048820011,3.5596993154378755,3.5422993010162531,3.5255233065495895,3.5093933087615139,3.5118411321079464,3.5119990222309809,3.5104680225862772,3.5076777818630123,3.5039417067838436,3.4994923461093017,3.4945047683055477,3.4891124038631172,3.4834180215434682,3.4775014827836634,3.4608522908655188,3.4446326197433019]
[21,3.5918384410455459,3.5948824949469906,3.5768050864458218,3.5589890092718828,3.5416801802737776,3.5249751415293207,3.5089019003282762,3.5023879759782806,3.5032518130762811,3.5023325121770856,3.5000771710208145,3.496812621663461,3.4927819039883161,3.4881683990521499,3.4831122061232964,3.4777215042051819,3.4720805886339856,3.4662556544849772,3.4502498436684292]
[22,3.5895984417999021,3.5938821102066107,3.5759739478064039,3.558279128141999,3.5410613840464156,3.524427232123426,3.5084106982680088,3.4930107490412148,3.4945696391009444,3.494253303003259,3.4925257551665236,3.4897268745209176,3.4861099171816736,3.481866373310377,3.4771428577670327,3.472052842728313,3.4666849667435948,3.4611090211274256,3.4553803295412866]

{"sheet":"Design Basis","index":6,"n_rows":429,"n_cols":11,"rows_kept":429,"cut":false,"hidden":false,"merged":[[383,1,383,11],[187,1,187,11],[418,1,418,11],[385,1,385,11],[343,8,343,9],[340,8,340,9],[341,8,341,9],[342,8,342,9]]}
["A. Post Design"]
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[null,"1. Variables"]
[null,null,"Pw --->","Pressure Due to Wind Load (psf)"]
[null,null,"FD --->","Axial Load Due to Dead Load (lbs)"]
[null,null,null,"Includes Ws (Sign Weight) and g (Post Weight)"]
[null,null,"Mw --->","Moment at the Base of the Column Due to Wind Load (ft-lb)"]
[]
[null,"2. Bending Analysis"]
[null,null,"Cb --->","Bending Coefficient"]
[null,null,null,"(Per Section 5.7.1.2 Commentary, Cb = 1.0 for cantilevers)"]
[null,null,"fb ----->","Actual Bending Stress in Post (psi)"]
[null,null,"Fb ----> ","Allowable Bending Stress in Post (psi)"]
[null,null,null,"(Calculated for the tension and Compression Flange)"]
[null,null,"Actual Bending Stress:"]
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[null,null,"Allowable Bending Stress:"]
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[null,"3. Compression Analysis",null,null,"(Section 5.10)"]
[null,null,"K ----->","Effective Length Factor"]
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[null,null,"fa ----->","Actual Compression Stress in Post (psi)"]
[null,null,"Fa ----> ","Allowable Compression Stress in Post (psi)"]
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[null,"4. Combined Stress Ratio"]
[null,null,"CSR ->","Combined Stress Ratio"]
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["B. Hinge Design"]
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[null,"1. Variables"]
[null,null,"Pw --->","Pressure Due to Wind Load (psf)"]
[null,null,"FW --->","Resultant Force Due to Wind Load (lbs)"]
[null,null,"RA --->","Resulting Compression Load in Hinge Plate (lbs)"]
[null,null,"RB --->","Resulting Tension Load in Hinge Plate (lbs)"]
[]
[null,"2. Tension Analysis"]
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["Note:","1. Apply a 33% Increase in Allowable Load for Wind Load per Table 3-1"]
[null,"2. Shear Stress is not included in the CSR calculation because shear force is relatively negligible compared to axial tension. The hinge will unlikely to fail due to shear."]
["C. Bracket Design"]
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[null,"1. Variables"]
[null,null,"Pw --->","Pressure Due to Wind Load (psf)"]
[null,null,"P2 --->","Resultant Force due to Wind Load on Sign Panel (lbs)"]
[null,null,"P3 --->","Resultant Force due to Wind Load on Post Flange (lbs)"]
[null,null,"RA --->","Resulting Tension Load in Bracket at Centerline of Boss(lbs)"]
[null,null,"RB --->","Resulting Compression Load in Bracket at Centerline of Boss (lbs)"]
[null,null,"E ---->","Bracket Eccentricity (in) - distance from Boss-Centerline to outer face of vertical leg"]
[null,null,"D ----> ","Post Depth (in)"]
[null,null,"V ---->","Bracket Vertical Leg Thickness (in)"]
[null,null,"H ---->","Bracket Horizontal Leg Thickness (in)"]
[]
[null,"2. Constants and Factor of Safety - Aluminum Design"]
[]
[]
[]
[null,null,"Nu ---> ","Factor of Safety on Ultimate Strength (See Section 6.4)"]
[null,null,"Ny --->","Factor of Safety on Yield Strength (See Section 6.4)"]
[null,null,"Kt  --->","Coefficient for Tension Members (See Table 6-6)"]
[]
[null,"3. Section Properties"]
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[null,"4. Bending and Shear Analysis"]
[null,null,"Ws -->","Weight of Sign (psf)"]
[null,null,"Wp -->","Weight of Post (plf)"]
[null,null,"fb ---->","Actual Bending Stress in Bracket (psi)"]
[null,null,"Fb --->","Allowable Bending Stress in Bracket (psi)"]
[null,null,"Refer to \"Bracket Detail\" on Sheet 9 for Additional Variables"]
[]
[null,"Reactions:"]
[null,null,"Gravity Load:"]
[]
[]
[]
[null,null,"Wind Load:"]
[]
[]
[null,null,null,null,null,null,"(Bf: Post Flange Width)"]
[]
[null,null,"Bracket Loads:"]
[]
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[null,null,null,"RBracket = Max (|+RBracket|, |-RBracket|)"]
[null,null,"Actual Bending Stress:"]
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[null,null,null,null,null,null,null,null,null,"(Section 6.4.2.c)"]
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["D. Coupling Design"]
[]
[null,null,null,null,null,null,null,null,"Eccentricity: CLBoss _ CLCoupling"]
[]
[null,null,null,null,null,null,null,null,"Bracket No.",null,"E0 (in)"]
[null,null,null,null,null,null,null,null,"Bracket # 1",null,0.1]
[null,null,null,null,null,null,null,null,"Bracket # 2",null,0.15]
[null,null,null,null,null,null,null,null,"Bracket # 3",null,0.2]
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[null,"2. Tensile Stress in a single coupling:"]
[]
[null,"Actual Tensile stress:"]
[]
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[]
[null,null,null,null,"T   =  0.5 x RB",null,null,"(Calculated from Section C - Bracket Design)"]
[null,null,null,null,"FH = Horizontal force acting on one single post"]
[null,null,null,null,"     = P2 + P3"]
[null,null,null,null,"P2 = PW x 0.5 x W x H",null,null,"(Wind Force acting on Sign Panel)"]
[null,null,null,null,"P3 = PW x L x Bf",null,null,"(Wind Force acting on Post Flange)"]
[null,"Note: Mnet is close to zero, therefore bending stress component (Mnet / S) is negligible, and bending stress is combined with axial tension stress in calculation of coupling tensile stress."]
[null,"3. Calculate Optimum Eccentricity for Bracket Selection:"]
[null,"Compute desired Eccentricity of Boss to make MNet = 0 and minimize Tensile Stress at critical section of Coupling due to Bending: "]
[null,"For    MNET   =   0:"]
[]
[null,null,null,null,"and"]
[]
[]
[null,"Thus,","T x EOptimum = (FH / 4 couplings ) x 2.8"]
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[]
[null,null,null,null,null,null,null,null,null,"D1 = Post Depth D + 2 x E"]
[null,null,null,null,null,null,null,null,null,"(Section C - Bracket Detail)"]
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[null,null,null,null,null,null,null,null,null,"(PW drops out)"]
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[null,"Compare Eoptimum to boss eccentricities available and select Bracket Number with boss eccentricity E0 closest to Eoptimum. Then use that E0 value to compute Actual Tensile Stress sT,ctual (part 2 above)."]
[]
[null,"4. Combined Stress Ratio:"]
[]
[null,null,"Allowable Tensile Stress:"]
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[null,null,"Actual Shear Stress:"]
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[null,null,"Allowable Shear Stress:"]
[]
[null,null,"Combined Stress Ratio:"]

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