Laboratorio De Estatica N_1

Transcript

UNIVERSIDAD NACIONAL TECNOLOGICA DEL CONO SUR DE LIMA (UNTECS) LABORATORIO DE ESTÁTICA Y DINÁMICA INFORME DE LABORATORIO Nº 1 CARRERA: INGENIERÍA MECÁNICA Y ELÉCTRICA TITULO: TRIANGULO DE FUERZAS – CENTROIDES DOCENTE: CUMPA MORALES, JORGE ALUMNOS: FECHA DE LABORATORIO: 06/11/2012 FECHA DE ENTREGA: 27/11/2012 LIMA-PERÚ 2012 PRIMERA PRÁCTICA DE LABORATORIO TRIANGULO DE FUERZAS – POLGONO DE FUERZAS I! OB"ETIVOS ! L "#$%#&& &' '()' '*+'#-'$). '( .-+. ' )'( "'3( .+%$#(, $. +%'%(, 4 '$ '#%##. (' +'&'$ '+'('$) +. $ )#$5%. &' "'3(, +. '% % &.( &' %( "'3( (' +'&'$ '$.$)  $&. (' .$.' % )'', '$ '% (. ' (' .$.3 % &#'#$ . % %$' &' #$ &' %( "'3(8 ! S' +%# &'#&-'$)' '% &#5- &' "'3( 4 % &'(.-+.(##$ &' 9').'(8 II! MARCO TE#RICO M$TODOS PARA HALLAR LA RESULTANTE M%&'' * +,,**'.,/' E()' -:).&. +'-#)' (.%-'$)' (- 9').'( &'  +'(8 C.$(#()' '$ &#(+.$' 5;"#-'$)' %.( &.( 9').'( &' -$' ' %.( .5'$'( &' -.( .#$#&$ '$ $ +$)., )3$&. ')( +%'%(  & $. &' %.( 9').'(, '$ '% '*)'-. &'% .). 4 &' #5% %.$5#)&, ".-$&. ( $ +%'%.5-.  <9' 5;"#.  % &''=!8 E% '(%)&. &' % (- '( % &#5.$% &' &#=. +%'%.5-. ' +)' &'% .#5'$ .->$ &' -.( 9').'(8 M%&'' * T0,.2*' ' P'*0.',* C.$(#()' '$ &#(+.$' 5;"#-'$)' $ 9').  .$)#$#$ &' .).? '( &'#, '% .#5'$ &' & $. &' %.( 9').'( (' %%'9 (.' '% '*)'-. &'% .).8 E% 9'). '(%)$)' '( :% ' $' '$ '% .#5'$ &'% +#-' 9'). 4 )'-#$ '$ '% '*)'-. &'% >%)#-.8 E$ "$#$  '().( -:).&.( '( .-. (' $%#3 %.( 9%.'( ' (' .)'$5 '$ '% %.).#., +. .$(#5#'$)' & +(. ('; "$&-'$)%8 LEYES TRIGONOM$TRICAS L3  *'4 S'4 L %'4 &' %.( ('$.( '()%'' ' '$ %#' )#$5%. % '%#$ &' %#' &' (( %&.( % ('$. &'% ;$5%. .+'(). '( .$()$)'8 E(#) .-. ".-%, % %'4 &' %.( ('$.( '( % (#5#'$)'@ L3  C'4'4 E% )'.'- &'% .('$. '( $ 5'$'%#3#$ &'% )'.'- &' P#);5.( '$ %.( )#;$5%.( $. ');$5%.( ' '%#.$ $ %&. &' $ )#;$5%. .$ %.( .).( &.( 4 .$ '% .('$. &'% ;$5%. ".-&. +. '().( &.( %&.(8 C.-. (' &' (()'$). '$ '% (. &' %'4'(  (, 4 ( & $ -4.  $;%#(#( 4 +'#(#$ (' ).- .-. '"''$# %( &.( %'4'( $)'( -'$#.$&(8 E'-+%. III! MATERIALES E$(4. NB 181 P%'%.5-. &' "'3( E$(4. NB 182 T#$5%. &' "'3( • 1 )%'. &' &#. E22 • 2 ).$#%%.( P10 •  +.%'( P7 •  )'( P11 •  5$=.( &' +'(. P • 1 .$$). &' +'(( • 1 $#%%. .$ )'( '&( • 1 =. &' ++'% .#'$)' • 1 D#$--'). E4,3' Nº 5: P'*6.''  728,4 • • • • • 1 )%'. &' &#. E22 2 ).$#%%.( P10  +.%'( P7  )'( P11  5$=.( &' +'(. P • • • • IV! 1 .$$). &' +'(( 1 $#%%. .$ )'( '&( 1 =. &' ++'% .#'$)' 1 D#$--'). PROCEDIMIENTO E$(4. NB 1 P%'%.5-. &' "'3( E$(4. NB 182 T#$5%. &' "'3( 1B S#) '% )%'. 4 "#%. .$ ).$#%%.( 4 )'(  )9:( &' %( +'".#.$'( &'% +$'% 2B F# %( )'( +.%'( B C.%. $ =. '$ '% )%'. B P( &.( &' %( '&( &'% $#%%. (.' %( +.%'( (+'#.'(8 B C.%. %.( 5$=.( +'9#-'$)' +'(&.( 6B E$5$= .). 5$=. &' +'(.(  % )'' '& 4 &' ' '%5' (.' '% $#%%. 7B S') '% $#%%. (.' '% )%'. 4 &# +'(.( HB S.%) '% $#%%. .$) '% )%'. &' &#.( 4 &# +'(.( B S.%) '% $#%%. 4 +.$' '% (#()'- '$ -.9#-#'$).@ (# 4 % +'( &'% '$). (.%-'$)' 10B M %( +.(##.$'( &' %( )'( '&( .$ +$).( &' %;+#3 (.' '% ++'% 4 - %.( ;$5%.(, ( .-. - '% '(+#. '$)' %( "'3(8 11B A$.) %.( +'(.( (.+.)&.( +. & '&, )'$#'$&. '% +'(. &' %.( 5$=.(8 FIGURA@ P,,**'.,/'  728,4 T0,.2*'  728,4 E4,3' Nº 5: P'*6.''  728,4 M.$) '$ '% +$'% %( +.%'(, '% $#%%., %( '&(, %( +'(( ')8 )% .-. (' #$&# '$ % "#5 C.%. $ =. &' ++'% (.' '% )%'.8  A&# +'(.  % #$) '& &' ".- ' '%5' %#'-'$)' &'% $#%%. #$%4'$&. '% +'(. &'% 5$=.8 P.$' '% (#()'- '$ -.9#-#'$). )#$&. '% +'(. &'% '$)., &'$&. ' '% $#%%. 9'%9  ( +.(##$ &' '#%##.8 M .$ $ %;+#3 %( +.(##.$'( &' %( #$. '&( <Á$5%.(! 4 $.)  %.( +'(.( .'(+.$&#'$)'( &# '% &#5- &' "'3(8 F#5@ V! DATOS E9PERIMENTALES T% &'% E*+'#-'$). N 181 ! M,4, (.) L'.0&2  *, 2, (/) 1 5 , V&' 1 11 5 ,7 V&' 5 17 5 7,0 R42*&,& F28, (N) 1, N 1,1 N 1,70 N A.2*' ;2 <, ' * E= 9 H  0 Á.2*' ;2 <, ' * E= 9 +'40&0>' H 17 270 ! M,4, (.) V&' 1 V&' 5 R42*&,& 11 5 17 5 160 5 L'.0&2  *, 2, (/) ,7 H,H H,0 - F28, (N) 1,1 N 1,7 N 1,60 N A.2*' ;2 <, ' * E= 9 12 1 0 Á.2*' ;2 <, ' * E= 9 +'40&0>' 12 12 270 T% &'% E*+'#-'$). N 182 M,4, (.) 20 5 10 5 170 5 V&' 1 V&' 5 V&' ? L'.0&2 L'.0&2  *,  *, 2, 2, R20 R,* , (/) (/) ,0 21, 2,6 1 2, 12,6 - T% &'% E*+'#-'$). N 2 M,4, (.) L'.0&2 L'.0&2  *,  *, 2, 2, R20 R,* , (/) (/) 1H0 5 , 27, V&' 1 20 5 ,6 ,2 V&' 5 120 5 2, 1H, V&' ? 10 5 2, 1,H V&' @ VI! F28, (N) 2, N 1, N 1,7 N F28, (N) 1,H N 2, N 1,2 N 1, N A.2*' Á.2*' ;2 <, ;2 <, ' * ' * E= 9 E= 9 +'40&0>' 1H 1H 2 1  221 A.2*' Á.2*' ;2 <, ;2 <, ' * ' * E= 9 E= 9 +'40&0>' 21 21 20 160 6 22 21  ANÁLISIS DE DATOS 18 L.( &).( ' (' .)9#'.$ '*+'#-'$)%-'$)', % (' .-+.&.( $%)#-'$)' (' '$.$) ' $. '$ 100K .').(, +'( = $ 9##$ +'' 4 ' (' +.*#-$  %.( &).( '*+'#-'$)%'(8 28 ' %.( &).( '*+'#-'$)%'(, $. =$ (#&. -'&#&. .')-'$)', 4 ' '( 9##$ -.&#"# ).&. '% (#()'- % -.-'$). &' '9% %.( &).( $%)#-'$)'8 8 L( ##.$'( &' %.( &).( +'&'$ (' .(#.$&.(@ P. '. =-$.8 I$()-'$).( %#&.( '#9.&-'$)' M% (. &' %.( #$()-'$).( &' -'&##$ • • • M% -$#+%#$ &'% (#()'- &' +.%'( % -.-'$). &' -'&#  8 F#$%-'$)' %.( &).( '*+'#-'$)%'( (' .-+..$ )$). 5;"#-'$)' .-. $%)#-'$)' <($&. %'4 &' ('$.( 4 &'(.-+.(##$!8 • VII! CUESTIONARIO !1! TRIANGULO DE FUERZAS #8 : #$&#$ %( "%'=( '$ '% &#5- &' "'3( I$&#$ % &#'#$ 4 ('$)#&. &' %( "'3( '+'('$)&( +.  %.( +'(.( 1, 2 4 8 ##8 C.-+. 5;"#-'$)' '% '(%)&. &' % "'3 '(%)$)', ($&. $ '(% +.+#&8 ###8 R'(.%9' '$ ".- $%)# %.( '(%)&.( &'% '$(4. VII!5! POLGONO DE FUERZAS #8 C.$(#&'$&. '% -:).&. &'% +.%5.$. &' "'3( + ). . -( "'3( '$ '#%##. '$ $ +$)., &')'-#$ $)( "'3( &'(.$.#&( (' +'&' '$.$)8 S.%. $, ' 9'$&  (' '% 9'). '(%)$)' ##8 ' #$&#$ %( "%'=( '$ '% &#5- &' "'3( I$&#$ % &#'#$ 4 ('$)#&. &' %.( 9').'( "'3 '+'('$)&.( +. %.( +'(.( (&.( '$ '% '*+'#-'$).8 ###8 +.&'-.( '$.$) % &#'#$ &' 2 "'3( +. '()' -:).&. (# (' .$.'$ '% '(). &' %.( &).( P. : VIII! CONCLUSIONES Y RECOMENDACIONES S' .$%4', ' .$ '% )#$5%. &' "'3( (' +'&' .-+. '% -.&%. &' %( "'3(, .$.#'$&. ( &#'#$ 4 5"#$&.8 ' .$ '% +.%5.$. &' "'3(, (' +'&' =%% % '(%)$)' &'  . -;( 9').'(8 ' .$ '% &#5- &' "'3( &' $ .'). (' +'&' =%% % '(%)$)', )-#:$ ($&. &'#&-'$)' % &'(.-+.(##$ &' 9').'( (' =%% % '(%)$)', &'-;( %.( &).( ' (' .)#'$'$ )$). '$ .$ &#5- &' "'3( ' &'(.-+.$#'$&. (.$ (# % -#(- -5$#)& +.&;$ 9#( $( -#%:(#-(8 S' .-+' &' #5% -$' ' % .$&##$ &' '#%##. < f  x + f  y =0 ∑ ¿¿  + $ (#()'- &' "'3( .$'$)'( (' -+%' '$ '% '*+'#-'$).8 S' '.-#'$& '  % =. &' -'&#, ).- %( +'#.$'( .'(+.$&#'$)' + )'$' &).( '*+'#-'$)%'( -( +*#-.(, 4 ( .)'$' -'$.( +.(##%#&& &' % 9##$8 M$#+% #&&.(-'$)' '% &#$--'). $. (.'+( ( +'(. . '*#5#  -( &' %. .$('&., 4 ' +.&; & ( (#()'-8 I9! BIBLIOGRAFA J8L8 M'#-, QE();)#? E&#).#% R'9'):, '%.$, 1668 ''J.=$().$, QM';$# ').#% + #$5'$#'.(@ E())#? 10- E&##$8 M:*#., D8F8 @ MG #%%, 20128 R4-.$& A8 S'4, QF(# I? )'*). (&. '$ ;%%.,  '&##$, M:*#., D8F8 @ I$)'$)#.$% T=.-(.$ E&#).'(, 200 P% E8 T#++'$(, QF(#, .$'+).( 4 +%##.$'(,7 '&##$88M:*#., D8F8 @ MG #%%, 2007 S8 $. &' E#%%, QF(# 5'$'%, 2 '&##$8 M:*#., D8F8@ T: , 2006,  A8 C.-' , QF(# '$ % #'$# 4 '$ % #$&()#, '%.$@ R'9'):, 20068 9! ANE9OS E*+'#-'$). N1 E*+'#-'$). N1 <.$ .) +.(##$ &' %( +.%'(! E*+'#-'$). N2