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Simple Curves
Strigtion 2.
R368 Da = 4°
Re NGS gle
 
S> aro att (296-4199 (86)
uoUCUTté«Ce tm
360
R= 286.47 9m
T= Rtan® . ape -arotan tH - 95 opt
ek Be
«> (oS -E ete stones arate los
= E+ 147m
T (Rie) =e
C#ansin > apes aarsin ir 1 064m
(i= Ws) = 296 479 (IF IF) 7 Hoa
 
 
& am (sors X27 99) ono den
260 oe
MOK ok
2
+r
Ts 23-39
 
Te Rtn
A= 526M
Givation 3
 
 
(eredord -% so ee
(200+ #7005 $0 = 200 waa
Een, ee
ae Sra ni ro 09
* 200 (1- 0539)
M > 26-79
oem 08
 
 
Conese
t
* a(rg.19 sin Meso!
2
66-71Simple Cunes
Sitwation 4
% 36° Da = 4°
Re NgS gle
a 4
R = 286.47 9m
Givation 3
S> aWre _ ast (296-479) (86)
a = lo m
 
 
300
 
Pa. aa
To Ran = 2% -angtan 4 - 92 osm
 
wee
; erelosd ~« s+
wd, OF A, Beart asieren oe -
Rg 2 RFE Sze (2002)
= peek (200+¥)%5 30 = 206 glad
T  (Rre)oe -» SEP ae S60
E80 -Shen 74149
C= arsin® > 2) Hsin = MT-oS4en me 2C1 ~ 5
$ > Ages anpsie ® Toga 2) gra ava
Me eC1= sf) = 256429 (1 si) wen 200 (1~ 030) a pean 28
——4 agm
Sitwabion 2.
42 2020)
Boo
Re 229.19
 
= al (229.10) (6°?
360 ~
Ss zum
  
Coresin®
2
ce am (s00tt8X7-59) _ aa. a36¢m * 2(229.199stn se
260
 
 
F
e
tow owed
om 7:
Ts 23-39
Te tg
R= 152-6und = Cune,
ser
sta 3Dt120. 50
 
    
 
 
     
 
ge las 4
E 3 1gg-16 22 %in Ze
= 381.92 aa 20-6* 2osine 9: Zz
2 469 -10m Re 406 09S
Peat ped? bee a
a
ns nrg site Law
Tie 391 -g72tan ra a i;
= Os 236 m ren tte Let 139.6?+ 9-H ee H)
- 2 g6-236t 79-448 cog Who - ie ~
27 2o6 4rgtan st oe 2 2
> 7g -44Em .
4 cin! 2 fn Les 26,755 m
oe 4-094
7 104 G64 REVERSED CURVE
The 9¢-226+104-Ible 109 - 19% sivahion | |
STA Re = (304129 -56)~ 200-197 + 2 (201 $r2Vb8)
C 360
5 SRC= DorlOb - 9 T r
——a
4m
S255 a 4 yr
= artery gai 18) yo
Bo
a 13479
2_318.30M oes
—=— R= 629-6;
i 5 118-30 ten
cmer? 4% EN :
sat
te 14. Ate= WS aU
7
 
> 196.49°
= 38l.g72 28°
Deze pita nt
A a
Tis 39! a72tan ry
2 95-256 m Ten 42
Ta? 296 449 tan Sh nearest
z 2 ph OFM
= 7g 448m
sind! = sini2)
2 4084
A? 104-964
The 9¢-226H104-Jble 209 - 19%
360
SH AC ZorlOe -9eg9m
 
SESS e
‘
= artery ga 18)
eo
2_a1G.30m
STH PT 7 lar Ups +2 '8-°
= lat Goo 30°
6m pee = (304129 -58)~ 200-197 + 2 (201-97-Vb8)
Sitchin 2
  
    
eT
pe
139.16 22 Mein 2
\20-6* eosin hee 7
Q\= 469 -t0m Re 400 .easm
sng sine Law
Le in9.c2#139-tb"~ 26130-69013 14)
os (iBO- Se ~ 22)
See
Les 261,755 m
REVERSED CURVE
silvahon 1
vr
ge= RAN sare
R= 629-62
no
Fe
Da cae ot
te 4 aeSPIRAL CURVE
  
Bit Wo-72°45L 47st mt ONS
   
   
  
 
 
: & yt
ae eet Saen
Bes i960 -an°gi ants? o
= gat! w\/ = 6om zy i? ut
0
Tees ee aoa
Tie Wotan Ss ios. sas 25
2 3h $09
The 2@0.5- bz.3e5 + IPS
Rae OS aa
ton wh
*
PT= sto Pl, -T, +4, 452
aa ay)
ke a
* (erszs37)- rset
+ om (1s Me) (yp ')
340
PT = tay on6-luton 2
yar 25°87
   
R=180
Bi o-m24sLartLt
> sara!
Bes ige -aregi avis!
2 gat!
Te 260-5
sarge!
Ti= Wotan [~ = ws. 15
ferbeee-g-be.ses * 1-85
Ree BS yy ain,
ton Wh
7
pre sto PLT, ratte
. (iers2s-3%) 5 REee
+ om Cb at) (4 wD
C14 2) (
S60
PT = ioe gg let
fees
2mtit
x
eo
o> (satay)
SOIRAL CURVE
Go"
pee 1oom 2
or oa
rt dt
Xp * erin
a oo ut
§, 36909 40591000)
xp e ide
Pies
Oa L zoom
ae ude
5
2 3h, 408
a 7 9. ons wad x
- &
ve arr 0K)
- 245e
 
c 2xs #00! ov?
re by . &
% 4 8.75
‘ Ino 2 036"
oy Xs > S0gim Taras
b
sin p> £095 ve 4b-9n EP
sw a
= 38.466m Sievalion &
(s= 2.919°
2 fu x if
a Sit qegn 009" > 32.077 2Gws2IN 1
Yor segl 1 [le (e) > £038
tant OT RLs nave
aid ‘Bs ey Noy S20 5 ceravtan B
» Na Ge as) * “a
+0 pase, xP «(te
4 tes ® a(wecHen)
Lrz \oo- 33.077 = 66.923 a hss ¥ 1544
ean 4
Pe Xe SON ang in 7 0-199
| 4 4
tee 52:
= bo - 20d= 60-2(6-4) #42-5° 528 + (org gt ro Yond
 
= gt: O4g6 m
L= 2000 + amt 329. 446 G29, Gas, gcsm 98 OMG
Bon Sta. Ts > lat 072) ~ 92.9486
2 Pee 7 3t or9.06
s30 em
a Se > thas OSt 12-7
rel eeu aos )an5!
2 IAHR = 4b gt-76
ean Lears
Th ets Sree : :
252-109 + 200 (300)(14.932")
= LO want) tar se fa
Ta rae Xe a
> 239.264 m Tes 25-8 (cart) 4-382"
— Soo. eee7 Py 4 g.76¢
$
ur Xs» 609lm
is
sin p> £-09S
sw
ST 33.466
 
 
(s2 2.919%
a> Sige -c09" > 32.077
a sus
2oeMs2I 1
 
 
” ace
Ys 5098 yee (og o >) lhe sv7im $033
— * 1 @
tan2.917 [' apls made
* 999 ('% ( v ) = SD + (e+e yan 2
, 2 (S24: 8)(00) ae 1
Emory, eee ver Ba . {22
4 {2s © z(yeowsen)
brs \o0- 33.077 = 66,923 = bse re
oe 4
pe Xe S08 aa m 7 0-299
4 ei eer et
te 29 4 (0199+ 200 Yost
 
|
| = to - d= 60-2(6-) =
L= 21106 a 4642, Gs. e6gm wots m
f Stu Ts > lat 072) ~ 92.9406
Pre = gee - 06
00530 ° en gree
Sta So > tH OP9-OS+ 12-7)
bac 317-4053!
 
4 2 Ase “Ab one
ane +
Tee : 7 Ee, A 2 ( 300)(14.933)
00 4) ~-£ : i
7 silratsere) tan se 5 oT 183 Shy
tan 30 ree aa
Tes 2as-¢ (test) 14-933"z t
DE ares al
USO)
i ° USING CoLcuTECH
= 0-694 i
SUMMETRICAL PARABOLIC CURVE ° 0-082
= smooth trangition of grade 500 0.026
08 = 30
Hr summit soo +36
320 * BHIO
 
Eley somme « (00 ~9-49 S12
oan pe a
4, © 407. yraxtipx 4c — Siahon 4
  
a Togerthe y's zaxtb “Linear
ogerthe y's 2
se a.
ay PE ,den've a 2
Summit x Wiese
5t0-* basen
i ar 4 (0-042)
     
8? 6 SK
by.
wD Ae L(-oosey?)
Spe = Se | y2-¥s 427
ae! a = 3K
42 b
6  -2-6-52 — -2
—s Si abet
fad . 7 He Sy dbs
L= stom br 0-67 72.24m
=o sme
5e0-*
= en" «+320 Bev, PCa 00 +t p0(0.04rat
 
32 26
Acumna > S+i00r3? > 54D Bevir = ort t 4 (-b-om re)
 
16
. fo 032) +978 ae
as 19? : Ceding = WL - 06-1
Chew cummir = 1009-294 5 0-03270520) = eek
295 Oe sy se wee
2
O naer, EdR= iste? Arex -4
giey PT ~ 10 - Wolo e)= 4246 a?2 (es
9 Uso)
=0-694m
SUMMETRICAL PARABOLIC CURVE
= smooth transihion of grade
0
 
aL
   
     
Summit
 
Sloge = bree ya-¥e
ru
6:2 -2-6-42
~ L
Ls 580m
2 50% xo 320
32 a6
Strcumma > S+100r30 = SFBD
ae 190 (0-032) = 928
= 100-9.29 4 4.C0-0320(520)
78:9
00 - WO (0 -O26)= 42.46
Elev summit
giev PT *
USING CALCuTECH
iw
° 0-032
500 -0 026
08 « 220
eC An summit 400 +30
* SH36
Ps 300
TS AtBx = Suz
h os 6
” Elev summer s (00 ~ 9-99 FSI
we. 7 Gt sons
“4 > 0407. yeartipete — Sibahon 4
i Togerthe y's 2axtb "Linear :
ste 2 “A. we
3a fee! 447, 3
x? IS) gFm
ar 146 (0-042)
25K
AeL (00h ty?)
 
n42y
at ob 7 oe
WSi'67 abe?
We 5. 4e-se
be 0-67. 234
 
elev, Ps 00 + polo 047 4h
Bevie = orto + L(-b-om mirror?
 
3 rts
tev ings = 2-25 -O0-!
= We-bp
ni oe ee Wr bes
Oe” d= ister Later -4
20 37WORKS
  
 
 
bain Sitvatvon 2
— Cut
Ril 60°
ie DS
STH o-000 78 oFot6, sete ae,
Go
Slope = 1:2, 9.02227. 29
er a * t
\ i
G0 See:
ab oe 63% 43 42
¢ >(0+000)t20 a a
: tae iy ght. Ss
STA¢ = 0020 re ae) Feo dd
ahs Se
rs < 10m bab ~ 4o-
ies
a fog x
Mes 7 ° Be ses OE
Di
Osa Ss Cole for orca ah Sty 204 200
Y= 0.84 ne
Fb 4 +
a . rons
: ee
2.-necizonall A= Loot, wilo-tt) Aad (24 G4 LE OAET
- vertical L 7
tvertica’ A= S01@ +4490
—— 1b om?
method %
2 Tans etand
tts a8 a
AS +3 anny
Ny?! ath me
use meted %
63 ge te de -B* 4 (y(E St 2m
2 9 A y s(rreHeY)
s
yeh sem
—nt ASitvohion 2
24
 
     
STH O+000
M4
 
2 -horizomal
I-vertica!
Go
Slope = 12, 02227.
© sare
ja 7 2 xe tom
HA, ={04006)}20
+020
°
C
*
g
a
2
x? 168
As Lote Wyl0-£4)
A= 99a?
 
a
Cole for oa at Sy 204 200
method 4
40-0139
BL (ayadt LUO) HEHE
+ 4490?
=Ib- om?
Mephod 2
fonts
24 2 12
N 37
Use metoed %
63 _» 120
2 y 20
3
A-L [ewe cto)
+3 4H
=tk-omt
We = 4 (y(6347-2m
+ 3(220428))
Ieee,
aaaSTAG]
Asit B2m
J
 
A
Az. Fm?
cmnoichl Correchor .
Sou tron 4: End Area Methacl / Prizmoical Correct'o B= Sts =m
Mv
Ven = 3s wid, juga
 
pce £ eey-G)O-b2)
v
 
Ci = Distance Fromend trend of #204200 Laas s ew)
cet MH oF sta 20t #0 a
5 S4q 2042
Dee ver treat he gh of CeAter OF a un)
Wey Sa etme he 4-26 SHO) t HF
= We?
V2 Veq~ B.C rer i00.5- wast “1.2K
veq = (Weep ly-$2) (20) = 336-4 mé ee
cade 735
Dve2 02,438
VL ug D (20)
Per 20 (yea ts SIH Pos 5ao-8
2
2-20
3
ye 36-2 -f2-R)s 33637 mMSolu tron 4: Grd Area Method! w/ Prismeidal Corrector
   
SA
 
Ar? Sm?
Veq = dy, 2) “> end ovens
Va
Pee Ley. on bed
v7
Ci Distance Frmend te tnd of 44a 204200
C2
yt ME of at 204220
Di - velo! teyh of Comer of S4q,. 204200
Da.
veq
Vv
’ od geo 26 $200
= Veq~ ¥.C
a4 ( \oep4 lo 2)(20) = 386-4 m3
cate (4,735
Dve2 Das r3h
Pct 2 (y-4-1t “GC 1-1 38)
Ta
ve
>
3
-247
sho -(2-8)* 338-37m*
Sissi oa a
ete B2m
 
Sitvation 2
 
Ay? E(a4SH45 BO)
a
38
" 5 Ceaceesre)t 50427)
= Wed
Pe=_28-(20.5 - Ws Ilt “1.2
e¢
Ve L(ggor le 2) (207
2
= 54m?
Pot 542-8
= 534m5P46 clat= 0-8Q edepe-127
Gort Let = ~193.94~ Jeo 030
(26-81
= -\44 w
Corr oep = 1-62 ~ thO-S3 (427)
Ae O
s - 6F
corr LS (a4 r- 99 1%
> 159-44m
a4
7 6189) © apy!
fe we (are = 25°l2
S 25°12'w
See
Tronsit Rule
LIne © Logi Bearng = bet dep
4 S20-G NN ABT2O'E
Be 5q2 NN OFtO'E
DO 565-6 5 SAE
pE 155-4 5 s0%on'w
EA 499-20 N4BTIZM
clot coer
{
torr lot» Lat - 22 cetat
+ | TotalLat|
= oep - ibep!
ee iste?ae
Core Lot = -143-94— 30)
2 -194-%
Core ep = - 1.62 ~.1b0-$3 (427)
de
2 - 6F 84
cor b= S44 yel-69- 99 J
= 159-44m
ox tet (2188, 5 etn!
144-2
 
f 25°2'w
Tronsit Rule.
LINE © Lag Beary Lett bep
MB S2H- NN AB*29'E
Be a2 N 97%00'E
DO 5656 5 1 s0'E
DE 7583-4 5 90° o0'n
EA 499-20 Nae?’
 
cot der
Gore Lat = Lat - +24 Celat)
« | TotatLot
tor Dep= OCP - ef! —(c4en)
Tota! DeptOF CLOSED TRAVER SE
Lot Dep = DMD DA
Qo-lb qoi2 ~4o 12 -32|h-02
40-8 36-2 “IF 06 Aogt 2
70-13 +$0-32 103-56 -7267 94
=30- 14 t30 gb -2-6S 049 60
60-20 57-34 -44°6 -4100 SF
40-24 40-60 -40-6 O11-122
——r ——s
|- 90-0881
Ae 990-086
: *
A= 490-04 ™fe OF CLOSED TRAVER SE
Lines Lot Dep «= DMD OA
1-2 Goth ju 40-31-02
£3 4-8-3592 -1F-06 4097-6?
$4 Toy F532 103-56 7267-04
4-5-3014 t3RbE - RAD 039 60
5+ fom «52-34 -44G¢  -2700-47
ca 40-27 49-00 -4%-6 017-122
— eT
|- 90-0581
Ae 90086
2
A= 4g0-04 mm”Simple Canes
Sitertion 4
Da=4°
Re as gle
4
R > 286.47. 9m
> amre ast (296-479 80)
tho 00
Me eis) =
itwahion ZSimple Cuwes
station 4
Da=4°
Rs NAS-g1e
A
R = 286.47 9m
449) (86)
an (agar G56)
(260
26-419 tan tH » 95q
as 4° nl
F ar
S136
- a : > 95-236t 19-448
26 44g ban sh > ip 6AM
= 7g 44% m
sins! = Saad
e 174-694
07 104-966
96-246 4104-9 bbe 100 -19F
 
Shit = 20+106 969m.
25aeS 4
= aartloty INH MB) 5 2
Boo
2_318.30m
Ar os +3195?
Teer *
tyt Gos: 30Bet sta 3dtl20- 50
pr
“= WAS A
ay
was OM,
\ > 196-49"
9S “156 m
296 44g tan Sh
79-448.
27 104-964
96-7 4 +104-Jeb= 109 - 19%
Sth re = (20-4129 56) = 2008)
ice 9658.
arte2g ga)
Bee
2_s1G.30m,
19-30
cree 7 ar msThe 290.5 -(0z.365 7 19FI8S
Ro- OF 5 yaaie
con Wh
7
pT se Pl, -T, +5458
+ (ersesty)- pian mqner 6
+ om (14 me) C99" 4D
AE
‘S60
PT « jor o79-le4
2 eeeSPIRAL CURVE
 
Bie Wo-72°45 LATE Me ods
> sara! #e.
Ben iyo -aregi seins’
= gat
+2 280-5
 
sate
Ti= Wotan — = WS. 365
th 299.5 - bz.365 7 (FB
= waa,
 
ton at
7
pre sta Pl, -T, +o) 452
+ (ersas-37)- ps5
+ om (14 Me Cor
ne ( (a
540
PT = voy eng let
aT= 33.466m
 
(sz 2.99?
a Srv ares" > 32.077
 
. e (' 4.
Ys sett m2 fie y
tan 2.007 ,?* \ants | a
ws (2
1 Nee aio
+10 ‘-<@
er 4
2 bs
Lz \00- 33.077 > 66.628
 
O, (an 1A
ve
 
(d= 60-2(6-8) 42-5
Le 2uw0) + at (a9. 46 G2, 64a, 965m
Boo
ere
; es ‘ 0530? Stn
ie aS ee (evs77-408)
BATS
Esa
   
 
     
  
2 2ts
> 1 amt?) tom
ota
> 230-164 m
ais= 2-919?
a> Snag aecs” > 33.077
 
rode
Yor 09h yee (ee -)
tan a9tt } \aRLs al
> 399 fof 7
as (tem
“ \ =
+10 Vv pee 3
Lrz oo- 33.077 = 66.928
Ke 5-098
=, Super
&= 60 - 20> 60-2(6-26) =H
L= 20000) + rit (329. 46 ERD, 445, 965m
     
    
  
 
  
Bun
Eye SA Cos a,
g Oe
Cai Pra qa0” esr
= Att
ee
 
 
2 2ts
= 1? nme)
2 tan 30
    
> 139-264u
aN aRn”
J), maar ucI"6 COMCAREH
= 0-6gHm
xk
METRICAL PARABOLIC CURVE
gmootn tranyinion of gpade
C Eley 100
q ere
¢7
To Ger the
SHO PC , denive
Six cymme > SHOOTSE
a= 190 0 032) #9
lew cumaitUSING CALOUTECH
x
SYMMETRICAL PARABOLIC cuRVE g
gmootn transition of grade *
Eley 190
aN Pe 54100
te
Togerthe y
SPC deve
Sumit
sto-*
5eo-*
26
> SH100739
Scammer
as 190 fo 082) #
lev summit =THWORES
Ay atvon 4 Sitvaihven 2
a Cat ais
Rill oe
eau 1 24
oie * e 2630
= —
NS a |
ST 0+000 4B oF 066
Go
Slope = 12, 9-227
¢o 4
 
x= gon
 
5, =(.0+000)t20
sway = OF 020
 
 
wom
% a
mn A
-
per ¥ o
@ 2
ova
E 92 0.84 feat
at
2. herizomal A= Lote i
i vertical 2
A> 98a?12. em?
1 prismeidel Coreech¥OP
Sou tron 4: Ed Area Methecl wi
vO
~ Distance fevers te emma =O
ae of sta 20t 20,
>. - ve antes cender oF Ste, 20420
wom sha
V=Veq- BC
veq> + ( \o-p4 l-$2)(20 = 386s
cae (2845
Dre2 Ore 38
V7 a = 15 SUID,
2-2
ye 3562 Beach w/ Prismeidel Correckon
Solu tron 4: End Area Meth
aaa Vi
Veq = Ws WO, }oe
a
LEGG OPs Pay
srance Frmend te tad of thea 204200
ae: MH oF sha aot 220,
De ver tnt fe gh of Conder of Sto 20126
veel wo go
V=Veq~ B.C
veq = 4 (ibe le -82)(20) = 31
cite (785
Dre2 Ors 438
20 (4-13 SAVED
2-24
ye 356-2 -—-BYveniofior [ep |
[he [os 07 [name |oo — [50-44 |
[140-33 [euros | Tlao-$2 |
Pop {sas {sane I-59.1
[y so" ET
P= 4% 97
(ore Lot = - 143-94 00%
4-8
wre op
Tronsit @ule
Line ° Lagi — Bearng
Go S0n-G = NABTDO'E
Be 502 N 9900!
CO 565-6 5 Peale
1534P= 4 97
Core Lot = -143-94~
HO
-\44- 26
Corr oep = --62 ~ 10-53 (4a)
ee
- 64 @
wr bt Sonar ree
2 150-44m
gut (22 cit
. (jam) = 5"
Long Beary
s2n-G  NAB*20'E
502
1534
4n9-10 Nab?"OF CLOSED TRAVER SE
Lot ep «= OMI
Qo-lb 40.12 AU
—40-B  -36-92
Joy +8032
-30-14  +30-be
Go «= - S23
40-24 48-60