Topografía II -Presentación

7/25/2019 Topografa II -Presentacin

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CTEDRA : TOPOGRAFA IITEMA: TRAZO DE GRADIENTE VERTICAL, REPLANTEO DE CURVAS YMOVIENTO DE TIERRAS ( CORTE Y RELLENO) .


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DATOS DE LA ESTACI N TOTALPTO E N Z

AnguloHoriz.

SEXAGESIMALES

Distancia(d)

1 53!".#"5 !5!3!!! Z#$1: 1%5.""!"53148.462421614827'44.71" 17.611" 53%%3.%5 !5!3&"#.5 Z#$": 3%.3&13!!16.299286421617'57.43" 34.4993 53%#3."5 !5!3&3%.!%5 Z#$3: 31.'53'%!13.237196971314'13.9" 49.820

' 53%31.%5 !5!3&5!.!%5 Z#$': 3%.533#% 16.15700483169'25.21" 87.5295 53%"".1"5 !5!3&.& Z#$5: 3&.15"35114.538323031432'17.96" 101.9196 53%1."3% !5!'!.& Z#$#: 315.%'55'7.950120916757'0.43" 143.1757 53##".&%! !5!'5#.5! Z#$%: 31%.5'3#''6.14703009968'49.3" 204.7058 53#3.3 !5!'.1% Z#$!: 31!.!3&'"5.606732207536'24.23" 256.1679 535&'.% !5!'11%.#5 Z#$&: 315.#!'%'58.00592968580'21.34" 296.433! 535%3.%5 !5!'135.5# Z#$1: 315.3"5##&8.365005724821'54.02" 323.450 535"#. !5!'1&5.%' Z#$11: 31#.#""!' 7.06783480874'4.2" 399.2441" 535."5 !5!'"1!.3%5 Z#$1": 31#.11"1.578478763734'42.52" 434.058

13 53'!5.3%5 !5!'"3".3%5 Z#$13: 315.&!'"'17.706433406742'23.16" 454.4611' 5353.%5 !5!'"3&."5 Z#.5$1': "'#.53"!'"91.09194121915'30.98" 43.28015 535"".1"5 !5!'"'!.1"5 Z#.5$15: "'&.11&"& 88.505492278830'19.77" 22.8241# 5353% !5!'"5'."5 Z#.5$1#: "5".#&15!84.933274348455'59.78" 6.756

1% 5353!.%5 !5!'"!5.%5 Z#.5$1%: 35.&''5!3 -

13.31980051-13-19'-11.28"

29.862

1! 535"'.%5 !5!'"!&."5 Z#.5$1!: 33.'53%#&7.171014004710'15.65" 37.9211& 53'%&."5 !5!'"&!. Z#.5$1&: 33.31'134.594641793435'40.71" 76.576" 53'%.5 !5!'31.5 Z#.5$": 31.!515335.819629733549'10.66" 85.839"1 53'#3.5 !5!'313.%5 Z#.5$"1: 35.%1!&'#31.905836913154'21.01" 98.474"" 53'&1.5 !5!'353.#"5 Z#.5$"": 331.&1%'355.707347982542'26.45" 110.357"3 53'&5 !5!'3#.1 Z#.5$"3: 33'.&!%332.637749291238'15.89" 114.587"' 53'&1.5 !5!'3#&.3%5 Z#.5$"': 335.33""3%2.292545816217'33.16" 124.474"5 53'%".# !5!''3.!5 Z#.5$"5: 33'.35#!'&3.267934052316'4.56" 163.715"# 53'#5.# !5!''1#.1 Z#.5$"#: 33'.31#"3 3.5931596 335'35.37" 177.790"% 53'#!.&"5 !5!''"! Z#.5$"%: 33#.5'"& 1.0827739 14'57.98" 187.213

"8 535'."# !5!'5#!.&" Z#.5$"!: 35".!555!! -

15.23080511

-15-13'-

50.89"

315.107

"9 53'!!.3" !5!'5!#.!' Z#.5$"&: 35.53"5% -

12.90727396-12-54'-26.18"

335.145


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DATOS

PTO VARIACION (cm) E N ESTE NORTE

1 0.15 -6.4 2.625 -112 530802.625 8583888

2 -1.5 -4.2 -26.25 -73.5 530773.75 8583926.5

3 -2.1 -3.55 -36.75 -62.125 530763.25 8583937.875

4 -3.9 -2.35 -68.25 -41.125 530731.75 8583958.875

5 -4.45 -1.72 -77.875 -30.1 530722.125 8583969.9

12 -5.7 1.05 -99.75 18.375 530500.25 8584218.375

13 -6.55 1.85 -114.625 32.375 530485.375 8584232.375

14 -5.5 2.23 -96.25 39.025 530503.75 8584239.025

15 -4.45 2.75 -77.875 48.125 530522.125 8584248.12516 -3.6 3.1 -63 54.25 530537 8584254.25

17 -3.5 4.9 -61.25 85.75 530538.75 8584285.75

18 -4.3 5.1 -75.25 89.25 530524.75 8584289.25

19 -6.9 5.6 -120.75 98 530479.25 8584298

20 -7.4 5.8 -129.5 101.5 530470.5 8584301.5

21 -7.8 6.5 -136.5 113.75 530463.5 8584313.75

22 -6.2 -2.65 -108.5 -46.375 530491.5 8584353.62523 -6 -2.28 -105 -39.9 530495 8584360.1

24 -6.2 -1.75 -108.5 -30.625 530491.5 8584369.375

25 -7.28 0.22 -127.4 3.85 530472.6 8584403.85

26 -7.68 0.92 -134.4 16.1 530465.6 8584416.1

27 -7.49 1.6 -131.075 28 530468.925 8584428

30 -0.22 2.7 -3.85 47.25 530396.15 8584647.25

31 -0.8 3.25 -14 56.875 530386 8584656.87532 -0.65 4 -11.375 70 530388.625 8584670


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DATOS DE LA ESTACIN TOTAL

COORDENADAS ESTE NORTE

B-6 530801.16 8583905.55

B-6.5 530543.45 8584256.26

-257.71 350.71

R6-6.5! -36.3093255

"6-6.5! 323.6906745

COORDENADAS ESTE NORTE

B-6.5 530543.45 8584256.26

B-7 530379.41 8584654.74

-164.04 398.48

R6.5-7! -22.3752172

"6.5-7! 337.6247828


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TRAZO DE GRADIENTE


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REPLANTEO DE CURVAS


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DIST. POR ESTACA (c): 10

RADIO: 25

ANGULO PRINCIPAL (): 17 38' 31"

AI!UT: 38 35' 52"

ACISA DEL PC (E# $%): 5&&5.&

ETERNA: 0.2&&231283

CUERDA LARGA: 7.*7

COORD. !EDIA: 0.2&5*&2071

LONGITUD DE CUERDA: 7.*&775025

GRADO DE CUR+ATURA: 23 ' 2*"

ACISA DEL PC: , 5-&&5.&

ACISA DEL PT: , *-003.1&TANGENTE: 3.87&575173

#$$%DE&ADA DEL '#

: 530802.*25

: 8583888

#$$%DE&ADA DEL 'I

: 530805.053

: 85838&1.88

ESA#I*& A+S#ISA DE,LEXI*&PC , 5-&&5.& 0 0' 0"

, *-000.00 5 10' 5"

PT , *-003.1& 8 &' 1*"


RADIO: 12


AI!UT: 32 2&' 23"

ACISA DEL PC (E# $%): *2.37

ETERNA: 12.33&2333

CUERDA LARGA: 20.88

COORD. !EDIA: *.087**122

LONGITUD DE CUERDA: 25.3280357

GRADO DE CUR+ATURA: & 1' 55"

ACISA DEL PC: , *-2.37

ACISA DEL PT: , *-*7.70TANGENTE: 21.1808072

#$$%DE&ADA DEL '#

: 53073.3*2

: 858230.327

#$$%DE&ADA DEL 'I

: 530*1.033

: 858251.508

ESA#I*& A+S#ISA DE,LEXI*&PC , *-2.37 0 0' 0"

, *-50.00 18 12' 55"

, *-*0.00 2 5' 1&"

PT , *-*7.70 *0 27' 58"

CURVA I CURVA 2


8/26


RADIO: 20

ANGULO PRINCIPAL (): &* 0&' "

AI!UT: 53 27' "

ACISA DEL PC (E# $%): *&0.32

ETERNA: &.&3**287

CUERDA LARGA: 2&.7*

COORD. !EDIA: *.*38202

LONGITUD DE CUERDA: 33.5**&788

GRADO DE CUR+ATURA: 28 57' 18"

ACISA DEL PC: , *-&0.32

ACISA DEL PT: , *-523.8&

TANGENTE: 22.27558*1

#$$%DE&ADA DEL '#

: 530557.*152

: 8582*&.*8

#$$%DE&ADA DEL 'I

: 530575.5128

: 8582&1.&55

ESA#I*& A+S#ISA DE,LEXI*&PC , *-&0.32 0 0' 0"

, *-500.00 13 51' 5*"

, *-510.00 28 11' 22"

, *-520.00 2 30' 8"PT , *-523.8& 8 ' 52"


RADIO: 20

ANGULO PRINCIPAL (): &5 27' 21"

AI!UT: 32 &' 51"

ACISA DEL PC (E# $%): *512.1*

ETERNA: &.73305078

CUERDA LARGA: 2&.*0

COORD. !EDIA: *.5*&58851

LONGITUD DE CUERDA: 33.320371*


ACISA DEL PC: , *-512.1*

ACISA DEL PT: , *-55.8

TANGENTE: 22.00123871

#$$%DE&ADA DEL '#

: 5305*1.32*5

: 858278.23*

#$$%DE&ADA DEL 'I

: 53055.831&

: 858300.237

ESA#I*& A+S#ISA DE,LEXI*&PC , *-512.1* 0 0' 0"

, *-520.00 11 13' 8"

, *-530.00 25 33' 1"

, *-50.00 3& 52' 0"PT , *-55.8 7 3' 0"

CURVA 3 CURVA 4


9/26


RADIO: 12

ANGULO PRINCIPAL ( ): 132 42' 17"

AZIMUT: 34 21' 37"

A!CISA DEL PC (E #$): %70.&

ETERNA: 17.&1%&200

CUERDA LARGA: 21.&

COORD. MEDIA: 7.1%%702&3

LONGITUD DE CUERDA: 27.7&3%1203

GRADO DE CURATURA: 4& 14' "

A!CISA DEL PC: * %+70.&

A!CISA DEL PT: * %+73%.%

TANGENTE: 27.404722

COORDENADA DEL PC:

: 3042.247

,: 440%.%2

COORDENADA DEL PI:

: 30422.72%

,: 4434.07

ESTACIN ABSCISA DEFLEXIN

PC * %+70.& 0 0' 0"

* %+710.00 2 3' %0"

* %+720.00 2% 31' 23"

* %+730.00 0 23' 47" PT * %+73%.% %% 21' "


RADIO: 20


AI!UT: 331 08' 51"

ACISA DEL PC (E# $%): *&&2.23*

ETERNA: 1&.10558*2

CUERDA LARGA: 3.37

COORD. !EDIA: &.771013558

LONGITUD DE CUERDA: 1.35703107


ACISA DEL PC: , *-&&2.2

ACISA DEL PT: , 7-033.5&

TANGENTE: 33.*0307285

#$$%DE&ADA DEL '#

: 5303&1.552*

: 858*82.*85

#$$%DE&ADA DEL 'I

: 530375.3372

: 85871*.288

ESA#I*& A+S#ISA DE,LEXI*&PC , *-&&2.2 0 0' 0"

, 7-000.00 11 7' 1*"

, 7-010.00 25 2*' 2"

, 7-020.00 3& *' 8"

, 7-030.00 5 5' 35"PT , 7-033.5& 5& 1' 23"

CURVA 6CURVA 5


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TRAZO DE CURVA VERTICAL


11/26

CURVA VERTICAL

INFORMACION DE LACURVA

A#$c%$& (m) ! K6+918.30 PIV

C'& (m) ! 3637.360

P*+%* + E*,&+& () ! 12

'*/%+ + E*,&+& (m) ! 24.900

P*+%* + S&%+& () ! 9.83

'*/%+ + S&%+& (m) ! 24.900

I*c,m*' * A#$c%$&+' (m) ! 10

ELEMENTOS DE LACURVA

'*/%+ T'& (m) ! 49.800

E,*& (m) ! -0.135

E*,&+& ! 22.949

S&%+& ! 22.949

A!"#!$ %&' C()$ %&'

PCV ! 6893.40 3634.372PIV ! 6918.30 3637.360PTV ! 6943.20 3639.808

C'& *%m& ! 6893.40 3634.372C'& %m& ! 6943.20 3639.808


12/26

C((*,$$!

T#( , P/)( A!"#!$ C()$ T$,), C(**,""# C()$

PCV 6893.400 3634.372 0.000 3634.372

6900 3635.164 -0.009 3635.155

6910 3636.364 -0.060 3636.304PIV 6918.300 3637.360 -0.135 3637.225

6920 3637.527 -0.117 3637.410

6930 3638.510 -0.038 3638.472

6940 3639.493 -0.002 3639.491

PTV 6943.200 3639.808 0.000 3639.808


13/26

CURVA VERTICAL 1

INFORMACIONDE LA CURVA

A#$c%$& (m) ! K6+109.74 PIV

C'& (m) ! 3626.190

P*+%* + E*,&+& () ! -0.51

'*/%+ + E*,&+& (m) ! 75.000

P*+%* + S&%+& () ! 7.02

'*/%+ + S&%+& (m) ! 75.000

I*c,m*' * A#$c%$&+' (m) ! 20

ELEMENTOS DE

LA CURVA

'*/%+ T'& (m) ! 150.000

E,*& (m) ! 1.412

E*,&+& ! 19.920

S&%+& ! 19.920

A!"#!$ %&' C()$ %&'

PCV ! 6034.74 3626.573PIV ! 6109.74 3626.190PTV ! 6184.74 3631.455

C'& *%m& ! 6040.00 3626.553C'& %m& ! 6184.74 3631.455


14/26

C((*,$$!

T#( , P/)( A!"#!$C()$

T$,),C(**,""# C()$

PCV 6034.740 3626.573 0.000 3626.573

6040 3626.546 0.007 3626.553

6060 3626.444 0.160 3626.604

6080 3626.342 0.514 3626.856 6100 3626.240 1.069 3627.309

PIV 6109.740 3626.190 1.412 3627.602

6120 3626.910 1.052 3627.962

6140 3628.314 0.502 3628.817

6160 3629.718 0.154 3629.872

6180 3631.122 0.006 3631.128

PTV #1!'.%' 3#31.'55 . 3#31.'55


15/26

CURVA VERTICAL 2


A#$c%$& (m) ! K6+317.58 PIV

C'& (m) ! 3640.770

P*+%* + E*,&+& () ! 7.02

'*/%+ + E*,&+& (m) ! 42.990P*+%* + S&%+& () ! -4.62

'*/%+ + S&%+& (m) ! 42.990

I*c,m*' * A#$c%$&+' (m) ! 10

ELEMENTOS DE

LA CURVA

'*/%+ T'& (m) ! 85.980

E,*& (m) ! -1.251

E*,&+& ! 7.387

S&%+& ! 7.387

A!"#!$ %&' C()$ %&'

PCV ! 6274.59 3637.752PIV ! 6317.58 3640.770PTV ! 6360.57 3638.784

C'& *%m& ! 6274.59 3637.752C'& %m& ! 6330.00 3639.564


16/26

C((*,$$!

T#( , P/)( A!"#!$ C()$ T$,), C(**,""# C()$

PCV 6274.590 3637.752 0.000 3637.752 6280 3638.132 -0.020 3638.112 6290 3638.834 -0.161 3638.673

6300 3639.536 -0.437 3639.099 6310 3640.238 -0.849 3639.389

PIV 6317.580 3640.770 -1.251 3639.519 6320 3640.658 -1.114 3639.544 6330 3640.196 -0.633 3639.564 6340 3639.734 -0.286 3639.448 6350 3639.272 -0.076 3639.197

6360 3638.810 0.000 3638.810PTV 6360.570 3638.784 0.000 3638.784


17/26

CURVA VERTICAL 3


A#$c%$& (m) ! K6+646.30 PIV

C'& (m) ! 3625.600

P*+%* + E*,&+& () ! -4.62

'*/%+ + E*,&+& (m) ! 26.180

P*+%* + S&%+& () ! -0.5

'*/%+ + S&%+& (m) ! 26.180

I*c,m*' * A#$c%$&+' (m) ! 5

ELEMENTOS DELA CURVA

'*/%+ T'& (m) ! 52.360

E,*& (m) ! 0.270

E*,&+& ! 12.709

S&%+& ! 12.709

A!"#!$ %&' C()$ %&'

PCV ! 6620.12 3626.810PIV ! 6646.30 3625.600PTV ! 6672.48 3625.469

C'& *%m& ! 6672.48 3625.469C'& %m& ! 6620.12 3626.810


18/26

C((*,$$!

T#( , P/)( A!"#!$ C()$ T$,), C(**,""# C()$

PCV 6620.120 3626.810 0.000 3626.810 6625 3626.584 0.009 3626.593 6630 3626.353 0.038 3626.391

6635 3626.122 0.087 3626.209 6640 3625.891 0.155 3626.047 6645 3625.660 0.244 3625.904

PIV 6646.300 3625.600 0.270 3625.870 6650 3625.582 0.199 3625.780 6655 3625.557 0.120 3625.677 6660 3625.532 0.061 3625.593 6665 3625.507 0.022 3625.529

6670 3625.482 0.002 3625.484PTV 6672.480 3625.469 0.000 3625.469


19/26

CURVA VERTICAL


A#$c%$& (m) ! K6+816.78 PIV

C'& (m) ! 3625.160

P*+%* + E*,&+& () ! -0.5

'*/%+ + E*,&+& (m) ! 28.550

P*+%* + S&%+& () ! 12

'*/%+ + S&%+& (m) ! 28.550

I*c,m*' * A#$c%$&+' (m) ! 10

ELEMENTOS

DE LA CURVA

'*/%+ T'& (m) ! 57.100

E,*& (m) ! 0.892

E*,&+& ! 4.568

S&%+& ! 4.568

A!"#!$ %&' C()$ %&'

PCV ! 6788.23 3625.303PIV ! 6816.78 3625.160PTV ! 6845.33 3628.586

C'& *%m& ! 6790.00 3625.297C'& %m& ! 6845.33 3628.586


20/26

C((*,$$!

T#( , P/)( A!"#!$ C()$ T$,), C(**,""# C()$

PCV 6788.230 3625.303 0.000 3625.303

6790 3625.294 0.003 3625.297

6800 3625.244 0.152 3625.396

6810 3625.194 0.519 3625.713

PIV 6816.780 3625.160 0.892 3626.052

6820 3625.546 0.702 3626.249

6830 3626.746 0.257 3627.004

6840 3627.946 0.031 3627.977PTV 6845.330 3628.586 0.000 3628.586


21/26

CURVA VERTICAL 5

INFORMACION DE LACURVA

A#$c%$& (m) ! K6+918.30 PIV

C'& (m) ! 3637.360

P*+%* + E*,&+& () ! 12

'*/%+ + E*,&+& (m) ! 24.900

P*+%* + S&%+& () ! 9.83

'*/%+ + S&%+& (m) ! 24.900

I*c,m*' * A#$c%$&+' (m) ! 10

ELEMENTOS

DE LA CURVA

'*/%+ T'& (m) ! 49.800

E,*& (m) ! -0.135

E*,&+& ! 22.949

S&%+& ! 22.949

A!"#!$ %&' C()$ %&'

PCV ! 6893.40 3634.372PIV ! 6918.30 3637.360PTV ! 6943.20 3639.808

C'& *%m& ! 6893.40 3634.372C'& %m& ! 6943.20 3639.808


22/26

C((*,$$!

T#( , P/)( A!"#!$ C()$ T$,), C(**,""# C()$

PCV 6893.400 3634.372 0.000 3634.372

6900 3635.164 -0.009 3635.155

6910 3636.364 -0.060 3636.304

PIV 6918.300 3637.360 -0.135 3637.225

6920 3637.527 -0.117 3637.410

6930 3638.510 -0.038 3638.472

6940 3639.493 -0.002 3639.491

PTV 6943.200 3639.808 0.000 3639.808


23/26

CLCULO DE VOLUMEN DEMOVIMIENTO DE TIERRAS

Corte y relleno de voluen de t!err#


24/26

'LA&ILLA DE EX'LA&A#I$&ES

PROGRESIVA

M

AREA O SUPERFICIESDISTANCIA

ENTRESECCIONES

TIP.

VOLUMENVOLUMEN

ACUMULADO(*3)

DES!ONTE TERRAPLEN DES!ONTE TERRAPLEN DES!ONTE TERRAPLEN

6-!! 1.!' "."!

6-!"! .5& ".&& 1 1".15 "#.35 1".15 "#.356-!! .5" 3.&5 " 11.1 #&.' "3."5 &5.%56-!6! .#% 3.'" " 11.& %3.% 35.15 1#&.'56-!8! .#! 3.51 " 13.5 #&.3 '!.#5 "3!.%56-!! 5.% 1.! " 5%.5 '5.& 1#.15 "!'.#56-! #.' .!" 1 5%.35 &.5 1#3.5 "&'.156-"! 1".1" .'' 1 &".# #.3 "5#.1 3.'5

6-! 11.!5 .#& " "3&.% 11.3 '&5.! 311.%56-7! .& '." 3 1&1."5 %3.35 #!%.5 3!5.16-8! .1% 11.1% 1 5.35 %#.!5 #&".' '#1.&56-"!! . 1&.3& " 1.% 35.# #&'.1 %#%.556-""! .' "".& " .' '"".& #&'.5 11&.'56-"! .1 "3.#" " .5 '#5." #&5 1#55.#56-"6! . 1!.% " .1 '1#.& #&5.1 "%".55

6-"7! .%" 3.3' 1 3.# 1%.5 #&!.% "1%&.#6-"8! 1."1 1.'" 1 &.#5 "3.! %!.35 ""3.'6-/!! 1.'% 1."! " "#.! "%. %35.15 ""3.'6-/"! . #.15 " 1'.% %'.3 %'&.!5 "3'.%6-/! 1%.1& . " 1%1.& #1.5 &"1.%5 "3##."6-/6! ".5 .1 " 3%".' .1 1"&'.15 "3##.36-/8! 1!.&1 .# " 3!&.# .% 1#!3.%5 "3#%6-!! 1%.&! .% " 3#!.& 1.3 "5".#5 "3#!.36-"! !.5 .1" " "#'.! 1.& "31%.'5 "3%."

PLANILLA DE EPLANACIN


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Topografía II -Presentación

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