Tercer Parcial Caminos 2000-II (1)

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TEMA Nº 02 A I1 = POSITIVO / I2 = NEGATIVO

SOLUCION 5 CALCULO DE LAS ORDE

1 Cálculo de la diferencia de pendientes R

I1 = 4.00% Cot !"# P$to A 104&1.00 Para X1 = 0.00 m

I2 = '4.00%

D(). = *.00%

Para X2 = 6.75 m

2 Se calcula la Longitud de la Cura! para una

"isi#ilidad de Parada! para lo cual se de#e

$sar el grafico %&'2001 S("!o Para X( = 26.75 m

L+ = *0.00 V = 50.00 ,-/

Se calcula las odenadas Para X) = )6.75 m

m = *rdenadas del punto medio +P,"-

m =

L C#+$#o !" # +ot !" #

/00 6"!("t" !" +! t-o

P"!("t" D(t+(

m = /.00 /0.00

).00

00.00 =/00 06.75 =

26.75 =

m = 0./00 )6.75 =

P," =

4 Se calcula las odenadas a cada 20.00 m.

').00

5(.25 =

n = *rdenadas en un punto cualesuiera ((.25 =

1(.25 =

n = X3 0.00 =

200 L

7 C#+$#o !" # +ot +o"

P"!("t" D(t+(

).00

00.00 =

06.75

26.75 =

)6.75 =

P," =

').00

5(.25 =

((.25

1(.25 =

00.00 =



ADAS

MAL IZQUIERDA RAMAL DEREC9A

/.00 0.003 1 = 0.000 m Para X1 = 0.00 m /.00 0.003

200 /0.00 200 /0.00

/.00 6.753 2 = 0.02( m Para X2 = 1(.25 m /.00 1(.253

200 /0.00 200 /0.00

/.00 26.753 ( = 0.(5/ m Para X( = ((.25 m /.00 ((.253

200 /0.00 200 /0.00

/.00 )6.753 ) = 1.04( m Para X) = 5(.25 m /.00 5(.253

200 /0.00 200 /0.00

$3t" t"("!o " +$"t #

Cot Po8"(: Po8"(: 0

10505./0 m 01 16 1(.25 m.0117(.25 6.75 6.7510506.60 m 01 1/ 00.00 m.0121/.00 20.00 26.75

10507.)0 m 01 20 00.00 m.01220.00 20.00 )6.75

1050/.20 m 01 22 00.00 m.01222.00 1(.25 60.00

10504.00 m 01 22 1(.25 m.012((.25 0

1050/.2 m 01 2) 00.00 m.0122).00 6.75 60.00

10507.) m 01 26 00.00 m.01226.00 20.00 5(.25

10506.6 m 01 2/ 00.00 m.0122/.00 20.00 ((.25

10505./ m 01 2/ 1(.25 m.0124(.25 1(.25 1(.25

0

8(! !" # $3t".

Cot Co"8. Po8"(: Po8"(:

10505./00 m 01 16 1(.25 m.0117(.25

10506.600 m 01 1/ 00.00 m.0121/.00

10507.(77 m 01 20 00.00 m.01220.00

10507./)2 m 01 22 00.00 m.01222.00

1050/.200 m 01 22 1(.25 m.012((.25

10507.6)7 m 01 2) 00.00 m.0122).00

10507.(12 m 01 26 00.00 m.01226.00

10506.600 m 01 2/ 00.00 m.0122/.00

10505./00 m 01 2/ 1(.25 m.0124(.25

1 = 1 =

2 = 2 =

( = ( =

) = ) =

6.75

26.75

)6.75

60.00

m 0

1 0 2 2 0 0 . 0

0

m 0

1 0 2 0 0 0 . 0

0

m 0

1 0 1 / 0 0 . 0

0

m 0

1 0 1 6 0 0 . 0

0

m 0

1 0 1 6 1 ( . 2

5



1 = 0.000 m

2 = 0.0// m

( = 0.55( m

) = 1.)1/ m

m 0

1 0 2 2 1 ( . 2 5

m 0

1 0 2 ) 0 0 . 0

0

m 0

1 0 2 6 0 0 . 0

0

m 0

1 0 2 / 0 0 . 0

0

m 0

1 0 ( 0 0 0 . 0

0

m 0

1 0 2 / 1 ( . 2

5

1(.25

((.25

5(.25

60.00



&; 4< 40<<

44; 1< 10<<

"d. =

CALCULO DE LOS ELEMENTOS DE CURVA

C$: NºANGULO R T L+ C E P

8! -( "8 GRAD RAD S +m- +m- +m- +m- +m- +m- +-

1 (48 )69 )099 (4.77/ 0.64)( % 2(4.422 /6.74/ 166.566 16(.2)1 15.21/ 1).(10 (.70

2 ))8 (19 1099 )).514 0.7770 % 2(4.422 4/.202 1/6.)22 1/1.767 14.(20 17.//0 (.70

POLIGONAL POR DEEL>IONES. CALCULO DE LAS COORDENADAS D

PI L!o D(t.ANGULO AZIMUT

G! M( S"8 GRAD S"t(!o G! M( S"8 GRAD

' P,1 250.00 5; 20< 25<< (5.()08

P,1 (48 )69 )099 (4.77/8 D

P,1 ' P,2 45.00 75° 079 0599 75.11/8

P,2 ))8 (19 1099 )).5148 D

P,2 ' P,( 40.00 119° (/9 1599 114.6(/8

P,(

I1 =

I2 =



45.00 m:;.

L6 S/A P+- = <á 10.00

+m- +m- S: +m- = <>lt. 0.(0

(6.00 0.))1 n = 02 Carril

(6.00 0.241 L = 6.00 m

LOS PI

PRO?ECCIONES COORDENADAS

RAD Et" Not" ESTE NORTE

1000.000 2000.000

0.617 1)).60/ 20(.4((

11)).60/ 220(.4((

1.(11 41./1( 2).(44

12(6.)21 222/.((1

2.0// 7/.225 ')).506

1(1).6)7 21/(./25



TEMA Nº 02 @ I1 = NEGATIVO / I2 = POSITIVO

SOLUCION 5 CALCULO DE LAS ORDENADAS

1 Cálculo de la diferencia de pendientes RAMAL IZQUIERDA

I1 = '5.50% Cot !"# P$to A 20&.7 Para X1 = 0.00 m 4.75 0.003 1 = 0.000 m

I2 = 4.25% 200 120.00

D(). = '&.75%

Para X2 = 6.75 m 4.75 6.753 2 = 0.014 m

2 Se calcula la Longitud de la Cura! para una 200 120.00


$sar el grafico %&'2001 S("!o Para X( = 26.75 m 4.75 26.753 ( = 0.241 mL+ = 120.00 V = 40.00 ,-/ 200 120.00

Se calcula las odenadas Para X) = )6.75 m 4.75 )6.753 ) = 0./// m

m = *rdenadas del punto medio +P,"- 200 120.00

m =

L C#+$#o !" # +ot !" # $3t" t"("!o " +$"t #

/00 6"!("t" !" +! t-o

P"!("t" D(t+( Cot Po8"(:

m ='4.75

120.00

'5.50

00.00 = 2(1).16 m 01 16 1(.25

/00 06.75 = 2(1(.06 m 01 1/ 00.00

26.75 = 2(11.46 m 01 20 00.00

m = '1.)6( )6.75 = 2(10./6 m 01 22 00.00

P," = 2(04.76 m 01 22 1(.25

4 Se calcula las odenadas a cada 20.00 m.

).25

5(.25 = 2(10.61 m 01 2) 00.00

n = *rdenadas en un punto cualesuiera ((.25 = 2(11.)6 m 01 26 00.00

1(.25 = 2(12.(1 m 01 2/ 00.00

n = X3 0.00 = 2(1(.16 m 01 2/ 1(.25

200 L

7 C#+$#o !" # +ot +o"8(! !" # $3t".

P"!("t" D(t+( Cot Co"8. Po8"(:

'5.50

00.00 = 2(1).160 m 01 16 1(.25

06.75 2(1(.060 m 01 1/ 00.00

26.75 = 2(11.474 m 01 20 00.00

)6.75 = 2(11.151 m 01 22 00.00

P," = 2(0/.24/ m 01 22 1(.25

).25

5(.25 = 2(11.054 m 01 2) 00.00

((.25 2(11.5(1 m 01 26 00.00

1(.25 = 2(12.(10 m 01 2/ 00.00

1 =

2 =

( =

) =



00.00 = 2(1(.160 m 01 2/ 1(.25



RAMAL DEREC9A

Para X1 = 0.00 m 4.75 0.003 1 = 0.000 m

200 120.00

Para X2 = 1(.25 m 4.75 1(.253 2 = 0.071 m

200 120.00

Para X( = ((.25 m 4.75 ((.253 ( = 0.))4 m

200 120.00

Para X) = 5(.25 m 4.75 5(.253 ) = 1.152 m

200 120.00

Po8"(: 0

m.0117(.25 6.75 6.75

m.0121/.00 20.00 26.75

m.01220.00 20.00 )6.75

m.01222.00 1(.25 60.00m.012((.25 0

m.0122).00 6.75 60.00

m.01226.00 20.00 5(.25

m.0122/.00 20.00 ((.25

m.0124(.25 1(.25 1(.25

0

1(.25

Po8"(: 6.75

m.0117(.25 6.5

m.0121/.00

m.01220.00

m.01222.00

m.012((.25m.0122).00

m.01226.00

m.0122/.00

1 =

2 =

( =

) =

1(.25

26.75 ((.25

)6.75 5(.25

60.00

20.00 20.00 20.00 20.00 20.00 20.00 20.00

60.00

m 0

1 0 2 2 1 ( . 2

5

m 0

1 0 2 ) 0 0 . 0

0

m 0

1 0 2 6 0 0 . 0

0

m 0

1 0 2 / 0 0 . 0

0

m 0

1 0 ( 0 0 0 . 0

0

m 0 1

0 2 2 0 0 . 0

0

m

0 1 0 2 0 0 0 . 0

0

m 0

1 0 1 / 0 0 . 0

0

m 0

1 0 2 / 1 ( . 2

5

m 0

1 0 1 6 0 0 . 0

0

m 0

1 0 1 ) 0 0 . 0

0

m 0

1 0 1 6 1 ( . 2

5

6.75



m.0124(.25



TEMA Nº 0 A I1 = POSITIVO / I2 = NEGATIVO

SOLUCION 5 CALCULO DE LAS OR

1 Cálculo de la diferencia de pendientes

L1 = 5.50% Cot !"# P$to C 20&.7 Para X1 = 0.00 m

L2 = '4.25%

%if. = 4.75

Para X2 = ).75 m



$sar el grafico %&'2001 S("!o Para X( = 2).75 m

L+ = 1*0.00 V = 40.00 ,-/

Longitud de los ramales +i?uierda! derec;a- Para X) = )).75 m

#1 = *0.00

#2 = 100.00

Para X5 = 6).75 m

Se calcula las odenadas


m = +L1 L2-

200 +L1 L2-

5 Cálculo de las cotas de l

m =4.75 /000.00 pendiente de cada tram

200 1/0.00

P"!("t" D(t+(

m = 2.167

5.50

00.00

0).75

4 Se calcula las odenadas a cada 20.00 m. 2).75

n@ = *rdenadas en un punto cualesuiera )).75

6).75

n@ =X3

mIB$("! P,"

L13

').25

45.25

75.25

Se calcula las odenadas a cada 20.00 m. 55.25

nA = *rdenadas en un punto cualesuiera (5.25

15.25

nA =X3

mD""+ 00.00

L23

Cálculo de las cotas cor

P"!("t" D(t+(

5.50

00.000).75

2).75

)).75

6).75

P,"

').25

45.25

75.25

55.25

(5.25

15.25

00.00



ENADAS

RAMAL IZQUIERDO RAMAL DEREC9O

0.00 2.17 1 = 0.000 Para X1 = 0.00 m 0.00 2.17

6)00 10000

22.56 2.17 2 = 0.00/ Para X2 = 15.25 m 2(2.56 2.17

6)00 10000

612.56 2.17 ( = 0.207 Para X( = (5.25 m 12)2.56 2.17

6)00 10000

2002.56 2.17 ) = 0.67/ Para X) = 55.25 m (052.56 2.17

6)00 10000

)142.56 2.17 5 = 1.)14 Para X5 = 75.25 m 5662.56 2.17

6)00 10000

Para X6 = 45.25 m 4072.56 2.1710000

la su#rasante! teniendo en cuenta la C#+$#o !" # +ot !"#

siBCot !" C = 20&.

Cot Po8"(: Po8"(:

= 2((2.67 m 01 20 15.25 m.00215.25 L +C- = 625.0

= 2((2.4( m 01 22 00.00 m.00220.00 ,2 = ').25

= 2(((.7/ m 01 2) 00.00 m.002)0.00

= 2(().6( m 01 26 00.00 m.00260.00 D()""+( !" A#t$

= 2((5.)/ m 01 2/ 00.00 m.002/0.00 si

= 2((6.(2 m 01 2/ 15.25 m.00245.25 100 su#e ).25

= 2((6.12 m 01 (0 00.00 m.00(00.00 625 D

= 2((5.27 m 01 (2 00.00 m.00(20.00

= 2(().)2 m 01 () 00.00 m.00()0.00D =

2656.25= 26.

= 2(((.57 m 01 (6 00.00 m.00(60.00 100

= 2((2.72 m 01 (/ 00.00 m.00(/0.00

= 2((2.07 m 01 (/ 15.25 m.00(45.25 COTA DE @ 2.

regidas de la su#rasante.

Cot Co"8. Po8"(: Po8"(:

= 2((2.67 m 01 20 15.25 m.00215.25= 2((2.4( m 01 22 00.00 m.00220.00

= 2(((.5/ m 01 2) 00.00 m.002)0.00

= 2(((.46 m 01 26 00.00 m.00260.00

= 2(().06 m 01 2/ 00.00 m.002/0.00

= 2(().16 m 01 2/ 15.25 m.00245.25

= 2(().15 m 01 (0 00.00 m.00(00.00

2(().0) m 01 (2 00.00 m.00(20.00

2(((.76 m 01 () 00.00 m.00()0.00

2(((.(0 m 01 (6 00.00 m.00(60.00

2((2.67 m 01 (/ 00.00 m.00(/0.00

2((2.07 m 01 (/ 15.25 m.00(45.25

1 = 1 =

2 = 2 =

( = ( =

) = ) =

5 = 5 =

6 =

m 0

1 0 2 ) 0 0 . 0

0

m 0

1 0 2 2 0 0 . 0

0

m 0

1 0 2 0 0 0 . 0

0

m 0

1 0 2 0 1 5 . 2

5

)!75

2)!75

))!75



6



1 = 0.000

2 = 0.050

( = 0.264

) = 0.661

5 = 1.227

6 = 1.466

P(:

si si

100 su#e ).25 100 su#e ).25

0 20.00 ;2 L +- = 5)5.00 20.00 ;2

,1 = 5.50

;1 =/5

= 0./5 ;1 =/5

= 0.C 100 D()""+( !" A#t$ @A 100

si si si si

100 su#e ).25 100 su#e ).25 100 su#e 5.50 100 su#e 5.50

).75 ;1 15.25 ;2 15.25 ;1 ).75 ;2

6 ;1 =20.2

= 0.20 ;1 =6)./

= 0.65 ;1 =/(./75

= 0./) ;1 =26.1

= 0.100 100 100 100

2

m 0

1 0 ( 0

0 0 . 0

0

m 0

1 0 ( 2 0 0 . 0

0

m 0

1 0 ( ) 0 0 . 0

0

m 0

1 0 ( 6 0 0 . 0

0

m 0

1 0 ( / 0 0 . 0

0

m 0

1 0 ) 0 0 0 . 0

0

m 0

1 0 2 / 0 0

. 0 0

m 0

1 0 2 6 0 0 . 0

0

15!25

(5!25

55!25

m 0

1 0 2 /

1 5 . 2

5

m 0

1 0 ( / 1 5 . 2

5



!75 75!25

/0 45!25

100



/5

26



TEMA Nº 0 A I1 = NEGATIVO / I2 = POSITIVO

SOLUCION 5 CALCULO DE LAS OR

1 Cálculo de la diferencia de pendientes

L1 = '.20% Cot !"# P$to C 104.&4 Para X1 = 0.00 m

L2 = 4.0%

%if. = '7.50

Para X2 = ).75 m



$sar el grafico %&'2001 S("!o Para X( = 2).75 m

L+ = 10.00 V = 50.00 ,-/

Longitud de los ramales +i?uierda! derec;a- Para X) = )).75 m

#1 = 0.00

#2 = 100.00

Para X5 = 6).75 m

Se calcula las odenadas


m = +L1 L2-

200 +L1 L2-

5 Cálculo de las cotas de

m ='7.50 6000.00 pendiente de cada tram

200 160.00

P"!("t" D(t+(

m = '1.)06

'(.20

00.00

0).75

4 Se calcula las odenadas a cada 20.00 m. 2).75

n@ = *rdenadas en un punto cualesuiera )).75

6).75

n@ =X3

mIB$("! P,"

L13

).(0

45.25

75.25

Se calcula las odenadas a cada 20.00 m. 55.25

nA = *rdenadas en un punto cualesuiera (5.25

15.25

nA =X3

mD""+ 00.00

L23

Cálculo de las cotas cor

P"!("t" D(t+(

'(.20

00.000).75

2).75

)).75

6).75

P,"

).(0

45.25

75.25

55.25

(5.25

15.25

00.00



ENADAS

RAMAL IZQUIERDO RAMAL DEREC9O

0.00 '1.)1 1 = 0.000 Para X1 = 0.00 m 0.00 '1.)1

(600 10000

22.56 '1.)1 2 = '0.004 Para X2 = 15.25 m 2(2.56 '1.)1

(600 10000

612.56 '1.)1 ( = '0.2(4 Para X( = (5.25 m 12)2.56 '1.)1

(600 10000

2002.56 '1.)1 ) = '0.7/2 Para X) = 55.25 m (052.56 '1.)1

(600 10000

)142.56 '1.)1 5 = '1.6(/ Para X5 = 75.25 m 5662.56 '1.)1

(600 10000

Para X6 = 45.25 m 4072.56 '1.)110000

la su#rasante! teniendo en cuenta la C#+$#o !" # +ot !"#

siBCot !" C = 104.

Cot Po8"(: Po8"(:

= 1247.42 m 01 20 15.25 m.00215.25 L +C- = 560.0

= 1247.77 m 01 22 00.00 m.00220.00 ,2 = ).(0

= 1246.41 m 01 2) 00.00 m.002)0.00

= 1246.05 m 01 26 00.00 m.00260.00 D()""+( !" A#t$

= 1245.14 m 01 2/ 00.00 m.002/0.00 si

= 124).70 m 01 20 00.00 m.00200.00 100 su#e ').(0

= 124).40 m 01 22 00.00 m.00220.00 560 D

= 1245.76 m 01 2) 00.00 m.002)0.00

= 1246.62 m 01 26 00.00 m.00260.00D =

'2)0/'= 2).

= 1247.)/ m 01 2/ 00.00 m.002/0.00 100

= 124/.() m 01 (0 00.00 m.00(00.00

= 1244.00 m 01 (/ 15.25 m.00(45.25 COTA DE @ 12*0.

regidas de la su#rasante.

Cot Co"8. Po8"(: Po8"(:

= 1247.42 m 01 20 15.25 m.00215.25= 1247.7/ m 01 22 00.00 m.00220.00

= 1247.15 m 01 2) 00.00 m.002)0.00

= 1246./( m 01 26 00.00 m.00260.00

= 10)70.76 m 01 2/ 00.00 m.002/0.00

= 10)64.1( m 01 20 00.00 m.00200.00

= 1246.1/ m 01 22 00.00 m.00220.00

1246.56 m 01 2) 00.00 m.002)0.00

1247.05 m 01 26 00.00 m.00260.00

1247.66 m 01 2/ 00.00 m.002/0.00

124/.(/ m 01 (0 00.00 m.00(00.00

1244.00 m 01 (/ 15.25 m.00(45.25

1 = 1 =

2 = 2 =

( = ( =

) = ) =

5 = 5 =

6 =

0 . 0

0

)!7

1 5 . 2

5



m 0

1 0 2 2 0 0 . 0

0

m 0

1 0 2 0

m 0

1 0 2 0



1 = 0.000

2 = '0.0((

( = '0.175

) = '0.)24

5 = '0.746

6 = '1.276

P(:

4 si si

100 su#e ').(0 100 su#e

0 20.00 ;2 L +- = (20.00 20.00

,1 = '(.20

;1 ='/6

'= 0./6 ;1 ='/6

C 100 D()""+( !" A#t$ @A 100

si si si si

100 su#e ').(0 100 su#e ').(0 100 su#e '(.20 100 su#e

).75 ;1 15.25 ;2 15.25 ;1 ).75

/ ;1 ='20

'= 0.20 ;1 ='66

'= 0.66 ;1 =')/./

'= 0.)4 ;1 ='15.2

100 100 100 100

0

0 0 . 0

0

0 ) 0 0 0 . 0 0

( / 1 5 . 2

5

(5!25

55!25

75!25

(5!25

45!25

))!75

100

6)!75

/0

15!25



m 0

1 0 2

/ 0 0 . 0

0

m 0

1 0 2 6 0 0 . 0

0

m 0

1 0 2 ) 0 0 . 0

0

m 0

1

0 ( 0 0 0 . 0

0

m

0 1 0 ( 2 0 0 . 0

0

m 0

1 0 ( ) 0 0 . 0

0

m 0

1 0 ( 6 0 0 .

m 0

1 0 ( /

m 0

1

m 0

1

m 0

1 0 2

/ 1 5 . 2

5



').(0

;2

'= 0./6

'(.20

;2

'= 0.15

Tercer Parcial Caminos 2000-II (1)

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Transcript of Tercer Parcial Caminos 2000-II (1)