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lrt Yiii -\'' <br /> ierr <br /> amn Subject:Project: Compensation Staples Rockery Plate Design Replacement Project Number: 81175122 , <br /> By: FSM Date: 3-12-19 .' <br /> Reviewed By: ZLK Date: 3-12-19 <br /> Objective <br /> Design a compensation plate for a W18X76 so the new section modulus is equal to, or <br /> greater than, the original section modulus of the wide flange section <br /> Given t N 1 <br /> Section Properties: ,s1 & rililii <br /> 1 0 's /- <br /> tf =068 ' i.68 in bf:=11 in <br /> t =0.425 in d =18.2 in <br /> w <br /> IS, =146 in3 ki :=(1 ±1 -16) .in <br /> , <br /> h:=d - 2 t =16 84 in <br /> f • ler C) hi <br /> 1)3.7,.._1 01 <br /> E:=29000 ksi Fy:=50 ksi 1-----1 4.4 <br /> dp <br /> Assumptions Spreadsheet was originally set up to assess <br /> Cutout Size: Np:=8.5 in square cut outs. Diamater of XS pipe is treated as <br /> Added Plate Size:bp:=0.75 in dp:=10 in a square cut out instead of circular(cons.) <br /> Compensation plate yields completely (conservative for connection design). <br /> Neglect curvatures between web and flange. <br /> Calculations <br /> Section Modulus <br /> Al :=bp•dp=7.5 in2 A2:=(),- Np).t,=1.7 in2 A3:=tw•h =7.157 in2 <br /> t, b d tf b <br /> ( <br /> A2•—+A-1 . tf-F--1 -FA3• -- +A2• d - — +Al • d 1--- - <br /> 2 <br /> 2 • 2 2 2 2) <br /> yo := -9.52 in <br /> 2 Al +2 A2+A3 <br /> .13, 3 <br /> Yc2:=d +bp- Ycl =9d.43 in Moll P P -0.352 in4 <br /> 12 <br /> / \ <br /> t,•h3 kbe- Np) .t3 <br /> f 4 <br /> Mo13:= =169.135 in4 Mo12:= =0.066 in <br /> 12 12 <br /> 2 2 <br /> I A1 :=A1 •(yo tf <br /> - - -L313 =537.377 in 4 I A2:=A.2. yo - L =143.252 in 4 <br /> 2 2 <br /> 2 2 <br /> ( <br /> IA3.-A3. -- yei -1.26 in4 1A4.-A2. bp +--- Ya -118.254 in4 <br /> 2 2 <br /> bP <br /> IA5:=A1 •(y,2- -- =614.995 in 4 <br /> 2 <br /> Page 1 of 2 <br /> CF.FXS,- '.. ` , ,,,,..,1 ,.,- C *:',„ -tn <br />