VELOCIDAD DE PUNTO.
VÍAS II
JOSÉ DAVID LÓPEZ ÁLVAREZ JUAN DIEGO PÉREZ CABARCAS ROBINSON RAFAEL RUIZ VERGARA
Dalmiro Pa!"o E#$"iali#%a "& '(a# %"rr"#%r"#
UNIVERSIDAD DE SUCRE FACULTAD DE INGENIERÍAS DEPARTA)ENTO DE INGENIERÍA CIVIL *+,-,/-*0
1
TABLA DE CONTENIDO
Pág. 1. INTRODUCCION
2
2. OBJETIVOS
3
3. JUSTIFICACIÓN
4
4. PROCEDIMIENTO
5
5. DATOS Y RESULTADOS
6
6. ANALÍSIS DE RESULTADOS
16
. COMENTARIOS T!CNICOS
1
". CONCLUSIONES
1"
#. PRE$UNTAS Y ASPECTOS RE REFERENTES A LA PR%CTICA
1#
1&. PLANOS Y ES'UEMAS
23
11.BIBLIO$RAFIA
24
2
*. INTRODUCCIÓN. L( )*+,-/(/ *0 , /* +,0 (-,*0 á0 7,(*0 * *+ (07,* **0*8 *0á (0,-(/( -, +( -(+/(/ /*+ )(9* /*7*/*/, /*+ *7, /* *-,/,. P*/* 0* 7*-:/( 7, *+ -,/-, ; 7, +,0 /*á0 0(,0 /*+ 00*(8 -,0( <* , 0-*/* -, ,,0 7(á*,0 <* /*0-:* *+ á0,8 -,, +( /*0/(/ , ),+*8 <* 0=+, 7*/* 0* /0g/,0 7, +,0 g**,0. L( )*+,-/(/ *0 +( *+(-= ** +( /0(-( *-,/( ; *+ *7, <* 0* /*,( * *-,* /->( /0(-(. S* *?7*0( * @+=*,0 7, >,( @>. L( )*+,-/(/ 7(+ 0* /** -,, +( )*+,-/(/ 0(á*( <* )*>-+, 7,0** (+ 7(0( 7, /**(/, 7, /* +( -(**(. E *+ 0g** ,* 0* >(á *0/, /* )*+,-/(/ /* 7,8 */*,0 +(0 -((-*0-(0 /* +( )*+,-/(/ * +( -(++* 3"8 ** ( +( U/(/ /* M*/-( L*g(+ * S-*+*9,8 :(9, +(0 -,/-,*0 /* á0, ; (,0-(0 * 7*,/, /* >,( ; */(8 /*0/* +(0 43& 7 ( +(0 6&& 7. S* ,(á *+ *7, <* (/( -(/( )*>-+, * *-,* (, /* +( -(**(8 +( *0( 0*á , *,0 /* 1&& )*>-+,08 /* (*( <* 0* 7,/G-( /(,0 7(( /**( ( )*+,-/(/ -,)*** <* -:( +( (;,( /* -,/-,*0 ; 0* /**(á +( /0:-= /* +(0 )*+,-/(/*0 /* 7,.
3
/. OBJETIVOS. OBJETIVO GENERAL. D**( +( /0:-= /* +(0 )*+,-/(/*0 /* +,0 )*>-+,0 <* (()*0( +( 0*--= /* )( -(++* 3" ** ( +( U/(/ /* M*/-( L*g(+ * S-*+*9, -, ( C,,G(+HS(7*0.
OBJETIVOS ESPECÍFICOS. • • •
T,( *+ *7, <* /*,( -(/( )*>-+, * *-,* *+ (,. D**( +( )*+,-/(/ 7(( -(/( )*>-+,. C(+-+( 7(á*,0 -,, )*+,-/(/ 7,*/,8 )*+,-/(/ */((8 )*+,-/(/ ,/(+8 /*0)(-= *0á/(.
4
1. JUSTIFICACIÓN. L( 0g** 7á--( ,0 7** ((G( +,0 -,,-*,0 (/</,0 * -+(0*8 -,,-* +( (*( -,*-( /* :-(,0 ; /* *-,,-* *+ **, 7(( ( (/*-(/( 0*+*--= /* +( *0( ; ( :*( ,( /* /(,0 )(+/,0 <* g((-* *0/, **-), /* )*+,-/(/*0 /* 7,. A+ -,,-* *+ 0g-(/, /* -(/( )(+, -(+-+(/, * *+ 7,-*/*, /* ,-(8 7,/*,0 0* --,0 ; ((+G( +(0 -((-*0-(0 /* +9, <* 0* 7*0*( * *+ (, /* +( )( 7*0*(/,. F(+(G(,0 -, *0* 7, /* *0/,0 ,0 0)* 7(( -,,-* 00 7,0 /* (7+-(-,*0 ; +(0 *9,(0 <* 7,/*,0 *(+G( 0 0* *0á 7*0*(/, 7,:+*(0 /* +9,.
5
+. PROCEDI)IENTO. +.*.
PROCEDI)IENTO DE CA)PO.
S* 0*+*--,= ( 0*--= /* +( )( <* -,*07,/* ( +( C(++* 3" ** ( +( U/(/ /* M*/-( L*g(+8 0* ,= ( /0(-( /* /,0 7,0*0 -,, +( /0(-( <* 0*( *-,/( 7, -(/( )*>-+,. N,0 :-(,0 /* (+ (*( <* 7(0á(,0 /*0(7*-:/,0 (* +,0 -,/-,*0 7(( <* , 0* )*( (*-(/, *+ *0/,. U( )*G */(0 +(0 -,/-,*0 /* (:(9,8 0* 0*+*--,(, )*>-+,0 (+ (G( 7(( */ *+ *7, <* /*,(:( -(/( , * *-,* +( /0(-( *0(:+*-/(8 0* :-= ( 7*0,( * *+ 7* 7,0* <* ()0(:( -(/, +( 7(* /*+(*( /*+ -(, 7(0(:( *+ 7,0* 7(( <* +( ,( 7*0,( :-(/( * *+ 0*g/, 7,0* (-)(( *+ -,,*, ; +, /*0(-)(( -(/, +( 7(* /*+(*( /*+ )*>-+, 7(0(( *+ 0*g/, 7,0*. S* ,= ( *0( /* 13& )*>-+,0 ; ,0 7*-((,0 /* <* -(/( , , >:*0* */-/, 0 )*+,-/(/ /*:/, ( +( *0*--= <* 0* *-,(:( *,0 (á0.
+./.
PROCEDI)IENTO DE OFICINA.
S* -,0g= *+ *7, <* -(/( )*>-+, (/= * *-,* +( 0*--= /* +( )(8 **/, +( /0(-( *-,/( 0* -(+-+(, +(0 )*+,-/(/*0. L*g, 0* -(+-+= +( )*+,-/(/ 7,*/,8 +( )*+,-/(/ */((8 +( )*+,-/(/ ,/(+ ; /*0)(-= *0á/(. S* /**(, +,0 7*-*+*0 P158 P5&8 P"58 P#"8 7(( ,:** *+ +* *, /* )*+,-/(/8 7(( */ +( -(+/(/ /* +9,8 *0(:+*-* *+ +* á?, /* )*+,-/(/ ; 7(( *0(:+*-* +( )*+,-/(/ /* /0*, /*+ 7,;*-, *07*-)(**.
6
2. DATOS 3 RESULTADOS. S* -,0g(, +,0 /(,0 ,:*/,0 * -(7, * +( 0g** (:+( ; (: 0* -(+-+(, +(0 )*+,-/(/*0 ; 0* */,/*(, (+ **, á0 -*-(,. TIEMPO(s) DESCRIPCIÓN 4,59 3,41 4,11 3,6 3,57 3,45 3,41 3,92 4,48 3,69 3,47 3,34 5,27 2,85 3,79 3,71 3,67 3,79 4,01 4,08 3,52 3,97 4,71 4,3 4,54 3,29 4,56 3,78 3,51 4,95 4,23 5 4,21 3,08 3,89
Bus Automovil Automovil Automovil Automovil Automovil Automovil Bus Bus Automovil Automovil Automovil Camión Camión Camión Automovil Automovil Automovil Bus Bus Automovil Automovil Automovil Automovil Automovil Automovil Automovil Automovil Automovil Camión Automovil Camión Automovil Automovil Automovil
Distancia recorrida(m) 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60
Velocidad (Km/h) 47 63 53 60 61 63 63 55 48 59 62 65 41 76 57 58 59 57 54 53 61 54 46 50 48 66 47 57 62 44 51 43 51 70 56 7
3,07 5,03 4,11 3,47 3,19 3,44 3,73 3,14 3,02 4,51 3,32 3,99 4,24 4,14 4,22 4,63 4,18 6,66 4,39 4,26 3,4 5,37 5,56 4,37 2,81 4,77 4,2 4,45 3,4 4,33 4,2 3,92 3,66 4,53 3,08 3,92 5,56 4 4,54 3,9 3,79 4,01 4,08
Automovil Bus Camión Automovil Automovil Automovil Automovil Automovil Automovil Camión Automovil Bus Camión Automovil Automovil Automovil Automovil Camión Bus Automovil Automovil Camión Bus Automovil Automovil Automovil Automovil Camión Automovil Automovil Automovil Automovil Automovil Automovil Automovil Automovil Automovil Bus Bus Automovil Automovil Automovil Camión
60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60
70 43 53 62 68 63 58 69 72 48 65 54 51 52 51 47 52 32 49 51 64 40 39 49 77 45 51 49 64 50 51 55 59 48 70 55 39 54 48 55 57 54 53 8
3,52 3,97 4,71 4,3 4,54 3,29 4,56 3,78 3,51 4,95 4,23 5 4,21 3,08 3,89 4,71 4,3 4,54 3,29 4,56 3,78 3,51 4,95 4,23 5 4,21 3,08 3,89 3,07 5,03 3,45 3,41 3,92 4,48 3,69 3,47 3,85 3,69 3,81 3,77 3,89 4,01 4,08
Camión Camión Automovil Automovil Automovil Bus Bus Automovil Automovil Automovil Automovil Automovil Automovil Automovil Automovil Automovil Camión Automovil Camión Automovil Automovil Automovil Automovil Bus Camión Automovil Automovil Automovil Automovil Automovil Automovil Camión Automovil Bus Camión Automovil Automovil Automovil Automovil Camión Bus Automovil Automovil
60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60
61 54 46 50 48 66 47 57 62 44 51 43 51 70 56 46 50 48 66 47 57 62 44 51 43 51 70 56 70 43 63 63 55 48 59 62 56 59 57 57 56 54 53 9
3,52 4,51 3,32 3,99 4,24 4,14 4,22 4,63 4,18
Camión Bus Automovil Automovil Automovil Automovil Automovil Automovil Automovil
60 60 60 60 60 60 60 60 60
61 48 65 54 51 52 51 47 52
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15
0. ANÁLISIS DE RESULTADOS. A+ /*07+(G(,0 (+ -(7, ; *+(-,(,0 -, +( G,( 7/,0 /*-( +,0 *0 7,0 /* )*>-+,0 <* 7,/( 0* *0/(/,0 (,=)+*08 :0*08 -(,*0. E0,0 0, )*>-+,0 <* 7*/* 7*0*( )*+,-/(/*0 0+(*0 7*, <*8 * (+g(0 ,-(0,*0 7, ,),0 /*+ 0*)-, <* 7*0( , 7, *0-,g*-( , *0(/, /* á, /*+ -,/-,8 *0(0 )*+,-/(/*0 7*/* *g0( )(+,*0 ; (+*9(/,0 /* +, <* 0*( ( V*+,-/(/ 7,*/,. L,0 7,-*/*,0 *(+G(/,0 * ,-( ,0 7** /**( +(0 -((-*0-(0 7-7(+*0 /* +( )*+,-/(/ /* 7, /* *0/, /* +( 0*--= /* )(.T(0( -, ( )*+,-/(/ 7,*/, /* -(0 55@> +* 7** (+ -,/-, ** -*, g(/, /* 0*g/(/ 7*, , g((G( ++*g( (+ /*0, * *+ *, *7, 7,0:+*8 <* *0 ( /* +(0 -((-*0-(0 , :**-,0 <* /*:* ,*-* ( )( , -(**(. L( )*+,-/(/ <* +,0 -,/-,*0 á0 *-*( *0 /* 54@> ; 7(*-* 0* <* +( (;,( /* 0(,0 (-,0:( -,/- ( )*+,-/(/*0 , ( (+(08 *0, 7*/* /*:*0* (+ (+, ),+* )*>-+( <* 0* (*9( * +( G,(. Má0 0 *:(g,8 (+g,0 -/(/(,0 7*** /*07+(G(0* * 00 (,=)+*0 /* (*( á0 á7/( 7*0*(/, )*+,-/(/*0 >(0( /*@>8 *(0 <* ,,0 )*>-+,0 -,, :0*0 ; -(,*0 */* ( ,)*0* 7,-, á0 +*, -, )*+,-/(/*0 :(9(0 >(0( /* 32@>. S, *0,0 )(+,*0 ( (+,0 ; ( :(9,0 <* 7,/-* ( /07*0= /* +,0 /(,0 /* )*+,-/(/ *g0(/,0 ; 0* -(+-+( ( /*0)(-= *0á/( 0 /* "86#@>. P, ,, +(/, +,0 )(+,*0 /* +,0 7*-*+*0 -(+-+(/,0 ,0 7** *0(:+*-* +, 0g**. P154685@> V*+,-/(/ ( /* --+(-=.
P5&54@> P** */ +( -(+/(/ /*+ +9, )*>-+(.
P"564@> V*+,-/(/ á?( /* --+(-=.
16
P#"4@> V*+,-/(/ /* /0*, /*+ 7,;*-,.
. CO)ENTARIOS TÉCNICOS. E+ "5 /* +,0 )*>-+,0 *g0(, ( )*+,-/(/ *, , g(+ ( 64@>8 *0 /*- <* +( (;,( /* +,0 )*>-+,0 , 0* *-,(:( --+(/, ( )*+,-/(/*0 ; (+(0. L( 7á--( ,= *,0 /* /,0 >,(0 7,<* +( (+( /*(/( )*>-+( ,0 7*= ,( ( *0( *7*0*()( /* )*>-+,0 * 7,-, *7,8 0* *+(, /(,0 ,(/,0 /* (:+(-(08 /*:/, ( <* 7*0*( )*+,-/(/*0 ; (+*9(/(0 /* +,0 7,*/,0 7(( /0*, /* -(**( ; <* 0, ,-(0,*0 *07*-(+*0 /,/* *+ -,/-, /*:* /0 *+ *7, /* *-,/,. A+ ,*, /* *0-,g* +,0 )*>-+,0 7(( *+ *0/,8 ,0 7*-((,0 /* <* 0 )*+,-/(/ , *( (*-(/( 7, +( *0*--= <* 0* *-,(:( *,0 (á0 ; <* /(* *+ *-,/, /* +( 0*--= , >(;( ,0(/, +( *0= /* 7((. L(0 ,,--+*(0 0, )*>-+,0 <* 0* /*07+(G( ( (;, )*+,-/(/ ; (+ ** * -*( *0,0 /(,08 0* g**(( ( (;, /07*0=. L(0 ,,0 * ->(0 ,-(0,*0 ,:0;*, *+ 7(0, /* +,0 )*>-+,0 /* -(, */(08 /-+(/, *+ /*0(,++, /* +( 7á--( L( -(++* 3" *0 -(7(G /* 0(0(-* +( /*(/(8 -+0, * >,(0 7-,.
17
@. CONCLUSIONES. *,0 7,//, -,7*/* +, 7,(* <* *0 *(+G( *0/, /* )*+,-/(/ /* 7,8 +,0 )(+,*0 (< -(+-+(/,0 ,0 7** /*-( 7,0:+*0 7,:+*(0 /* )*+,-/(/*0 * +( G,(8 /* +( -(+/(/ /* 0*)-, /* +( )(8 -,,-* +( /0:-= /* )*+,-/(/*0 /* +,0 )*>-+,0. P/,0 ,:0*)( <* ( ( (;, /*(/( )*>-+(8 0* 7*0*(:( ( /0-= * +(0 )*+,-/(/*08 7*, ( (0 0* -,0*)(:( +( -(7(-/(/ /* 0*)-, /* +( -(**(. E0* *0/, ,0 7** -,,-* *+ -,7,(*, /* +,0 -/(/(,0 ; /*á0 7*0,(0 <* (0( 7, +( )(. L(0 )*+,-/(/*0 <* á0 *-*( ; +( -(/(/ , 7,-*(9* /* 7*0,( <* --+( -, )*+,-/(/*0 :(9(08 */(0 , (+(0. P, ,, +(/,8 *0 K+ *0* *0/, 7(( *+ /0*, /* *),0 7,;*-,0 7(( +( -,0--= /* *)(0 )(0 (+ -,,-* +( *-*0/(/ /*+ 0(, /* /*07+(G(0* /* (*( á7/( ; /* ++*g( (+ /*0, * *+ *, *7, 7,0:+*.
18
. PREGUNTAS 3 ASPECTOS REFERENTES A LA PRÁCTICA. a? C6:l"# #o& la# $ri&i$al"# a$liaio&"# 6" %i"&" 6& "#%65io 5" '"loi5a5 5" $6&%o L(0 -((-*0-(0 /* )*+,-/(/*0 /* 7, 0, 0(/(0 * ->(0 (-)/(/*0 /* +( g**( /* á0,8 ** +(0 -(+*0 0* *-*( •
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)*+,-/(/*0 *(+*0 * +(0 -((-*0-(0 /*+ 7,;*-,. E *0* 0*/,8 *0á /*-(** *+(-,(/,0 -, +( )*+,-/(/ ; )(( (7*-(:+*** -, *++(8 +,0 *+**,0 $*,-,0 (+*0 -,, +( +,g/ /* +,0 -(+*0 /* -(:, /* )*+,-/(/8 +( -)((8 *+ 7*(+*8 +(0 /0(-( /* )0:+/(/8 •
*-. E0/,0 /* )*0g(-= (+g,0 -(0,0 * +,0 -(+*0 *-**** 0* +G( /(,0 0,:* )*+,-/(/ 0, 1 E0/,0 /* -(7(-/(/ * *+(-= -, +(0 )*+,-/(/*0 7,*/,. 2 Aá+00 /**-(+ /* )*+,-/(/*0. 3 I+*-( * +( )*+,-/(/ 7,),-(/( 7, ,:0--,*0 +(*(+*0 , /0(--,*0. 4 E0/,0 0,:* *,( /* +9, )*>-+(.
4? 6 #" $6"5" i&9"rir al %omar la m6"#%ra 56ra&%" 6& $"rio5o 5" !ora $io = o%ro $"rio5o 5" m:ima 5"ma&5a A+ ,( ( *0( /* )*+,-/(/*0 * ( >,( 7-, 0* 7*/* * <* +(0 )*+,-/(/*0 <* 0* *g0* 0*á *,*0 ( +(0 <* 0* ,* * ( >,( /* :(9( /*(/(8 **/, * -*( <* * >,( 7-, +,0 )*>-+,0 (*9( :(9(0 (0(0 /* )*+,-/(/*0 (+ 7*0*(0* -,g*0,*0 ; /*,(08 +, <* , 0-*/* * -(0, -,(, /,/* +,0 )*>-+,0 --+( ( (+(0 )*+,-/(/*0.
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9? 6 #o$or%" &o# $6"5" o9r""r "l "#%65io 5" '"loi5a5 5" $6&%o $ara la #"aliai7& 5" 6&a arr"%"ra o 6& %ramo 5" "#%a 21
E+ 0,7,* <* ,0 ,*-* *0 *+ /* /**( *+ **-, , +( *-*0/(/ /* /)*0, /07,0),0 7(( *+ -,,+ /*+ á-,8 (+*0 -,, 0*(+*0 7*)*)(0 ; *0-)(0 /* )*+,-/(/.
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*-.GRÁFICOS 3 ESUE)AS.
Gr:9io +. )a$a 5" la all" 1@.
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**.BIBLIOGRAFÍA. 1* RAFAEL CALL Y MAYOR8 JAMES C%RDENAS $RISALES Ig**( /* Tá0, "Q */-= A+(,*g( */,*0.
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