{VERSION 6 0 "IBM INTEL NT" "6.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "restart;#member forc es (normalized by k)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 62 "Tab :=(-2*ux+5*uz)/sqrt(29);Tac:=(3*ux+5*uz)/sqrt(35);Tad:=Tac;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$TabG,$*(\"#H!\"\",&*&\"\"#\"\"\"%#uxGF,F( *&\"\"&F,%#uzGF,F,F,F'#F,F+F," }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$Ta cG,$*(\"#N!\"\",&*&\"\"$\"\"\"%#uxGF,F,*&\"\"&F,%#uzGF,F,F,F'#F,\"\"#F ," }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$TadG,$*(\"#N!\"\",&*&\"\"$\"\" \"%#uxGF,F,*&\"\"&F,%#uzGF,F,F,F'#F,\"\"#F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 63 "#sum forces in x-dir\nFx:=2*Tab/sqrt(29)-3*(Tac+Ta d)/sqrt(35)=0;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#FxG/,&*(\"$i'\"\" \"\"%:5!\"\"%#uxGF)F+*(\"$/\"F)\"$.#F+%#uzGF)F+\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 70 "#y-dir should give zero by symmetry: chec k it:\nFy:=(Tad-Tac)/sqrt(35);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#F yG\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 68 "#z-dir. p=P/k\nF z:=-5*Tab/sqrt(29)-5*Tac/sqrt(35)-5*Tad/sqrt(35)+p=0;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#FzG/,(*(\"$/\"\"\"\"\"$.#!\"\"%#uxGF)F+*(\"$l%F )F*F+%#uzGF)F+%\"pGF)\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "usols:=solve(\{Fx,Fz\},\{ux,uz\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&usolsG<$/%#uxG,$*(\"#_\"\"\"\"$D\"!\"\"%\"pGF+F-/%#uzG,$*(\"$ J$F+\"$D'F-F.F+F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "evalf( usols);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<$/%#uzG,$*&$\"++++'H&!#5\" \"\"%\"pGF+F+/%#uxG,$*&$\"++++gTF*F+F,F+!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "assign(usols);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 3 "ux;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*(\"#_\"\"\" \"$D\"!\"\"%\"pGF&F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 105 "Ta b:=simplify(Tab);Tac:=simplify(Tac);Tad:=simplify(Tad);tab:=evalf(Tab) ;tac:=evalf(Tac);tad:=evalf(Tad);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#> %$TabG,$**\"\"$\"\"\"\"#D!\"\"%\"pGF(\"#H#F(\"\"#F(" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%$TacG,$*(\"#D!\"\"%\"pG\"\"\"\"#N#F*\"\"#F*" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%$TadG,$*(\"#D!\"\"%\"pG\"\"\"\"#N#F* \"\"#F*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$tabG,$*&$\"+ox>ik!#5\"\" \"%\"pGF*F*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$tacG,$*&$\"+8>VmB!#5 \"\"\"%\"pGF*F*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$tadG,$*&$\"+8>Vm B!#5\"\"\"%\"pGF*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} }{MARK "10 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }