Surveying

SURVEYING Compound Curve: Given a compound curve I 1 = 24°, I2 = 3°, !1 = ° and !2 = 4°" !e#ermine #$e %o&&o'in(: a" )$e &en( &en(#$ #$ o% #$e #$e commo common n #an(en #an(en#" #" *" )$e )$e &en &en(# (#$ $ o% o% )+ and )R uin( #ravere me#$od" c" )$e #a#i #a#ionin onin( ( o% -) -) i% -C -C i &oca# &oca#ed ed a# 1. 1. / 42." 42." 0 compound curve i &aid ou# 4.m %rom #$e -C #o #$e -CC $avin( a radiu o% 3"4m" )$en %rom #$e -CC ano#$er curve 'a &aid ou# #o #$e -) 25.m &on( 'i#$ a radiu o% 2."5m" I% #$e #a#ionin( o% #$e poin# o% in#erec#ion o% #$e #an(en# i 1. / 432"25" a" !e#ermine !e#ermine #$e #$e &en(#$ &en(#$ o% #$e #$e common common #an(en #an(en#" #" *" !e#ermine !e#ermine #$e #$e &en(#$ &en(#$ o% #$e #$e &on( &on( c$ord" c$ord" c" !e#ermine !e#ermine #$e #a#ionin #a#ionin( ( o% -)" -)"  )$e cen#re&ine cen#re&ine o% a ne' rai&'a6 i #o *e e# ou# a&on( a&on( a va&&e6" va&&e6" )$e 7r# #rai($# #rai($# &ine 0I $a an a8imu#$ o% 5°, '$i&e #$e connec#in( econd #rai($# &ine I9 $a an a8imu#$ o% 12.°" !ue #o i#e condi#ion i# $a *een decided #o oin #$e #'o #rai($# &ine 'i#$ a compound curve" )$e 7r# curve $a 5.. m radiu commence a# -C i i#ua#ed 3.. m %rom %rom I on #$e &ine 0I, and de;ec# #$rou($ #$rou($ an an(&e o% 25< *e%ore  oinin( #$e econd curve" a" Ca&cu&a# Ca&cu&a#e e #$e radiu radiu  o% #$e #$e econd econd curve" curve" *" )$e di#ance di#ance o% #$e #$e #an(en #an(en## poin# poin# ) +" c" 0# '$a# '$a# #a#ion did #$e #'o curve curve mee# i% #$e #an(en# in#erec#ed a# #a#ion #a#ion 1./...

Simp&e Curve • •

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-ro*&em 1:  )$e an(&e o% in#erec#ion in#erec#ion *e#'een *e#'een #'o #an(en# #an(en# 'a %ound %ound #o *e I = °24>, °24>, #$e &oca#ion o% #$e poin# o% in#erec#ion i a# #a#ion  / 1.5, and #errain condi#ion re?uire a minimum radiu permi##ed *6 #$e peci7ca#ion o% 3"44m" In order #o &a6ou# #$i curve #$e %o&&o'in( re?uiremen# re?uiremen# mu# *e o*#ained" 0" )$e de;ec#ion an(&e on eac$ #a#ion" 9" )$e c$ord di#ance %rom -C #o #$e #a#ion" C" Comp&e#e #$e curve da#a"

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-ro*&em 2: 0 imp&e curve $a #an(en# 09 and 9C in#erec#in( a# a common poin# 9"  )$e #an(en# 09 $a an a8imu#$ o% 14°1> and #$e #an(en# 9C $a a *earin( o% N53°3.>E, #$e radiu o% #$e curve i "m" @ind #$e %o&&o'in(: 0" !e(ree o% Curve *ae on arc de7ni#ion" 9" EA#erna& !i#ance" C" )$e #a#ion o% -#" C i% -#" 9 i &oca#ed a# /112"

-ro*&em 3:  )$e oBe# di#ance $or#e# di#anceD o% #$e imp&e curve %rom #$e -) #o #$e #an(en# &ine pain( #$ru -C i e?ua& #o 12."2.m" )$e #a#ionin( o% -C i a# 2 / 54."2" )$e imp&e curve $a an an(&e o% in#erec#ion o% 5.°" 0" Comp&e#e #$e curve da#a"

Samp&e -ro*&em 1:

0 #a#ion $a *een e# a %ar a #a#ion 1./... a# C" )$e direc#ion o% #$e #an(en# CV and V $a *een 7Aed *6 #aFe, *u# #$e #an(en# di#ance $ave no# *een meaured" )$e de(ree o% curve !a i #o *e 15° accordin( #o arc de7ni#ion" I# i deired #o #aFe a %u&& #a#ion on #$e curve uin( me#er a #$e uni# o% meauremen#"  )$e an(&e o% in#erec#ion *e#'een #an(en# are .°, and #$e di#ance %rom poin# C #o V i 3"1.3 m" a" !e#ermine #$e de;ec#ion an(&e a# eac$ %u&& #a#ion %rom #$e #an(en# #$ru -C" *" !e#ermine #$e c$ord di#ance per #a#ion"

Samp&e -ro*&em No"2:

 )an(en# 09 o% a imp&e curve $a a direc#ion '$ic$ i due nor#$ and #$e #an(en# 9C $a a *earin( o% N 5.° E" -oin# 0 i &oca#ed a# #a#ion 2. / 13."4" )$e de(ree o% curve i 4°" a" Compu#e #$e &on( c$ord" *" Compu#e #$e #a#ionin( o% poin# ! on #$e curve a&on( a &ine oinin( #$e cen#er o% #$e circ&e '$ic$ maFe an an(&e o% 54° 'i#$ #$e #an(en# &ine pain( #$ru -C" c" !e#ermine #$e #a#ion o% -)"

Samp&e -ro*&em No" 2:

 )$e de;ec#ion an(&e o% #'o in#ermedia#e poin# R and S on #$e curve meaured %rom #$e #an(en# pain( #$rou($ -C are  o15> and 12 o15> repec#ive&6" )$e c$ord di#ance *e#'een R and S i 2. m, '$i&e #$e &on( c$ord i 1.. m" a"

Compu#e #$e radiu o% #$e curve"

*"

Compu#e #$e an(&e o% in#erec#ion o% #$e curve"

c"

Compu#e #$e #an(en# di#ance

Samp&e -ro*&em No" 3:

0 imp&e curve $avin( a radiu o% 22"1m $a a *acF #an(en# o% N2°E, and a %or'ard #an(en# o% N°E" 0 proper#6 &ine runnin( para&&e& #o #$e *acF #an(en# croe #$e cen#er&ine o% #$e curve a# a di#ance o% 1.m %rom i#" I% #$e -C o% #$e curve i a# 1./12."." a" $a# i #$e de;ec#ion an(&e a# #$e poin# o% in#erec#ion o% #$e proper#6 &ine and #$e curve meaured %rom #$e #an(en# a# #a#ion 1./12."." *" $a# i #$e #a#ionin( a# #$e poin# o% in#erec#ion o% #$e proper#6 &ine and #$e curve c" Compu#e #$e c$ord di#ance %rom -C #o #$e poin# o% in#erec#ion o% #$e proper#6 &ine and #$e curve