.MCAD 306000000 Z  docDocument<mcObjectI (d2_graph_format graphData axisFormatLLtrace2D      dim_formatCmasslengthtimecharge temperature luminosity substanceNumericalFormat@dii shpRectEmcDocumentObjectStateJ mcPageModel:????mcHeaderFooter99 |P ComputeEngine=BuiltInsBA SerialAnyvalH@B@H @C@HD@HMbP?E@H units_classA TextState0 TextStyle/@ ArialNormal/@ArialHeading 1/@ ArialHeading 2 /@ ArialHeading 3 /@ ArialParagraph /@ ArialList /@ ArialIndent /@Times New RomanTitle/@Times New RomanSubtitle font_style_list> font_style?  VariablesTimes New Roman?  ConstantsTimes New Roman? TextArial? Greek VariablesSymbol? User 1Arial? User 2 Courier New? User 3System? User 4Script? User 5Roman? User 6Modern? User 7Times New Roman? SymbolsSymbol? Current Selection FontArial? Undefined Font? HeaderArial? FooterArial? Rotated Math FontTimes New Roman, COleDocItemKDocItemL docRegion7shpBoxDEHࡱ>    !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~Root Entry Ff Ole CompObjMOle10Native D FPBrushPBrushPBrush9q      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~@BM66(JOle10ItemName TextRegion@DL rBDD CharacterMapRangeMap,3Enter Data (positive is as shown in diagram above): ChrPropMap(3 RangeElem-3 ChrPropData) RangeData.eArial ParPropMap*3-3 ParPropData+EmbedMap"-LinkMap 3-3LinkData!@NormalArial eqRegion3@Dp tree1 p1 1dkips151t10001lbf3@D7  1 p!1 "1d!klf#1!$15@#%1t$1000&1$lbf'1#(1d'ft)1K'*1)1+@D@#@ |0Enter Number of Point Loads:(,--)+mArial*.-/+"0- 1-2!@NormalArial 33@D+<841 p51 461d5n715483@D@+l<J891 p:1 9;1d:i<1:=1t<1>1<n?@D@C S@P0Enter Number of Uniform Loads:(@@-@A)?mArial*@B-@C+"@D- @E-@F!@NormalArial @G3@D[lh@H1 p@I1 @H@J1d@Im@K1@I1@L3@D@[nlJh@M1 p@N1 @M@O1d@Nj@P1@N@Q1t@P1@R1@Pm@S@D@{ @0Enter Number of Moment Loads:(@T-@U)@SmArial*@V-@W+"@X- @Y-@Z!@NormalArial @[3@D@\1 p@]1 @\@^1d@]p@_1@]1@`3@D@oM@a1 p@b1 @a@c1d@bk@d1@b@e1t@d1@f1@dp@g@D@@0^^6Enter in the Distance to Reactions and Length of Beam:(6@h-6@i)@gmArial*6@j-6@k+"@l- 6@m-6@n!@NormalArial @o3@D@p1 p@q1 @p@r1d@qL@s15@q@t1t@s20@u1@sft@v3@D@w1 p@x1 @w@y1d@xA@z15@x@{1t@z15@|1@zft@}@D@@0||Enter in ALL Loads:(@~-@)@}mArial*@-@+"@- @-@!@NormalArial @3@D!?8t@1 p@1 @@1@@@1d@P@1@i@1 @@1 @@@1 @@@15@@@1t@5@1@kips@15@@1t@10@1@kips@15@@1t@2@1@kips@15@@1t@4@1@kips@3@DX!{e8w@1 p@1 @@1@@@1d@a@1@i@1 @@1 @@@1 @@@15@@@1t@10@1@ft@15@@1d@17@1@ft@15@@1t@5@1@ft@15@@1t@7@1@ft@3@D!k8@1 p@1 @@1@@@1d@q@1@j@1 @@1@@@1t@1.4@1p@@15@@1t@2@1@klf@1@0@3@D!k8h@1 p@1 @@1@@@1d@b@1@j@1 @@15@@@1t@0@1@ft@15@@1t@0@1@ft@3@D !:k$8i@1 p@1 @@1@@@1d@c@1@j@1 @@1d@L@1@L@3@Dx!k8d@1 p@1 @@1@@@1d@M@1@k@1 @@1@@@15@@@1t@10@1@kips@1@ft@1@@15@@@1t@0@1@kips@1@ft@3@D!k8a@1 p@1 @@1@@@1d@d@1@k@1 @@1d@L@15@@1t@0@1@ft@@DcspBFinding the Reactions:(*@-@+"@- @-@!@NormalArial @3@D@~ @1 p@1,@@1,@@@1d@\SM.left@1@@1@@@1@@@1K@@@1@@@1@@A1t@1A1@nA1@A1dAiA1AA1@AA1dAPA1AiA1AA 1dAaA 1AiA 1@@A 1@A A 1tA 1A1A mA1A A1dAjA1AA1@AA1@AA1dAqA1AjA1pAA1AA1@AA1dAcA1AjA1AA1dAbA1AjA1pAA1AA 1@AA!1dA bA"1A jA#1AA$1p@A#A%1A$A&1@A%A'1dA&cA(1A&jA)1A%A*1dA)bA+1A)jA,1A#2A-1@@A.1@A-A/1tA.1A01A.pA11A-A21dA1kA31A1A41dA3MA51A3kA61@A71dA6R.rightA81A6AA91@0A:3@D"A;1 pA<1 A;A=1dA<R.rightA>1AA@1pA?AA1A@AB1@AAAC1K@ABAD1@ACAE1@ADAF1tAE1AG1AEnAH1ADAI1dAHiAJ1AHAK1@AJAL1dAKPAM1AKiAN1AJAO1dANaAP1ANiAQ1@ABAR1@AQAS1tAR1AT1ARmAU1AQAV1dAUjAW1AUAX1@AWAY1@AXAZ1dAYqA[1AYjA\1pAXA]1A\A^1@A]A_1dA^cA`1A^jAa1A]Ab1dAabAc1AajAd1pAWAe1AdAf1@AeAg1dAfbAh1AfjAi1AeAj1p@AiAk1AjAl1@AkAm1dAlcAn1AljAo1AkAp1dAobAq1AojAr1Ai2As1@AAAt1@AsAu1tAt1Av1AtpAw1AsAx1dAwkAy1AwAz1dAyMA{1AykA|1A>AA}3@D+A8 A~1 pA1A~A1dAR.rightA1AA1+@ASerial_DisplayNodeFA1AkipsA3@D@Fh%A1 pA1,AA1,@AA1dA \SF.verticalA1AA1@AA1@AA1dAR.leftA1AR.rightA1@AA1@AA1tA1A1AnA1AA1dAiA1AA1dAPA1AiA1@AA1@AA1tA1A1AmA1AA1dAjA1AA1@AA1dAqA1AjA1pAA1AA1@AA1dAcA1AjA1AA1dAbA1AjA1A0A3@D&A1 pA1 AA1dAR.leftA1KAA1pAA1AA1@AA1dAR.rightA1@AA1@AA1tA1A1AnA1AA1dAiA1AA1dAPA1AiA1@AA1@AA1tA1A1AmA1AA1dAjA1AA1@AA1dAqA1AjA1pAA1AA1@AA1dAcA1AjA1AA1dAbA1AjA3@D(A1 pA1AA1dAR.leftA1AA1+@A@FA1AkipsA@D+B%Writing the Equation for the Loading:(%*%A-%A+"A- %A-%A!@NormalArial A3@D@GV\8,A1 pA1,AA1@AA1dAqA1pAA1AxA1AA1@AA1@AA1@AA1K@AA1AR.rightA1AA1dA\DA1pAA1AA1@AA1dAxA1AftA1AAA1AA1dAR.leftA1AA1dA\DA1pAA1AA1dAxA1AftA1@AA1@AA1tA1A1AnA1AA1dAiA1AA1@AB1dAPB1AiB1AB1dB\DB1pBB1BB1dBxB1BB1dBaB 1BiB 1@AB 1@B B 1tB 1B 1B mB1B B1dBjB1BB1@BB1dBqB1BjB1pBB16BB1@BB1dB\FB1pBB1BB1@BB1dBxB1BftB1BB1dBbB1BjB 1KBB!1B B"1dB!\FB#1pB!B$1B#B%1@B$B&1dB%xB'1B%ftB(1B$B)1dB(cB*1B(jB+@Dk{x/BFinding the Shear Equation:(*B,-B-+"B.- B/-B0!@NormalArial B13@D@z ]0B21 pB31,B2B41@B3B51dB4VB61pB4B71B6xB81KB3B91CB8B:1dB9xB;1pB9B<16B;B=1@B1p@B=B?1B>B@1@B?BA1K@B@BB1BAR.rightBC1B@BD1dBC\DBE1pBCBF1BEBG1@BFBH1dBGxBI1BGftBJ1BFABK1B?BL1dBKR.leftBM1BKBN1dBM\DBO1pBMBP1BOBQ1dBPxBR1BPftBS1@B=BT1@BSBU1tBT1BV1BTnBW1BSBX1dBWiBY1BWBZ1@BYB[1dBZPB\1BZiB]1BYB^1dB]\DB_1pB]B`1B_Ba1dB`xBb1B`Bc1dBbaBd1BbiBe1@B1CC@1dC?qCA1C?jCB1pC>CC1CBCD1@CCCE1@CDCF1@CECG1p@CFCH1CGCI1@CHCJ1dCIxCK1CIftCL1CHCM1dCLbCN1CLjCO1CF2CP1CE2CQ1CDCR1dCQ\FCS1pCQCT1CSCU1@CTCV1dCUxCW1CUftCX1CTCY1dCXbCZ1CXjC[1CCC\1@C[C]1@C\C^1p@C]C_1C^C`1@C_Ca1dC`xCb1C`ftCc1C_Cd1dCccCe1CcjCf1C]2Cg1C\2Ch1C[Ci1dCh\FCj1pChCk1CjCl1@CkCm1dClxCn1ClftCo1CkCp1dCocCq1CojCr1@C6Cs1@CrCt1tCs1Cu1CspCv1CrCw1dCvkCx1CvCy1@CxCz1dCyMC{1CykC|1CxC}1dC|\FC~1pC|C1C~C1@CC1dCxC1CftC1CC1dCdC1CkC@DcspFB@WGraphing Shear And Moment(Use Trace Function out of Graph Palette to Pull off Values) :(W*WC-WC+"C- WC-WC!@NormalArial C3@D0C1 pC1CC1@CC1@CC1@CC1fC24C1KCC1C 29.810667C1CC1@CC1CC1 CC1@CC1@CC1dCVC1pCC1CxC1CkipsC1C0C1CC1@CC1@CC1@CC1dCLC1CftC1C0C1CC1tC4C1C8C1CxC> NLength Along BeamNShear and Moment Shear DiagramShear Zero Line     C3@D0 C1 pC1CC1@CC1@CC1@CC1fC 89.333333C1KCC1C400C1CC1@CC1CC1 CC1@CC1@CC1dCMC1pCC1CxC1CC1dCkipsC1CftC1C0C1CC1@CC1@CC1@CC1dCLC1CftC1C0C1CC1@CC1CC1CxC> NLength Along BeamNMomentMoment DiagramMoment Zero Line     C@D@  @ 0Maximum Moment and Shear:(C-C)CeArial*C-C+"C- C-C!@NormalArial C3@D C1 pC1 CC1dCM.maxC1CC15@CC1tC684.8C1CkipsC1CftC3@D   C1 pC1 CC1dCV.maxC15CC1tC85.6C1Ckips