Question

Problem # 01: Given data: Chainage of First Tangent Point Registration Number (t) Chainage of Point of Interscction Registration Number 350 (f) Radius of Simple Circular Curve Registration Number/10 (ft) Required Data: 1. Determine all the elements of simple circular curve i.c., angle of intersection, angle of deflection, tangent lengths, length of the long chord, length of the curve, external ordinate, mid ordinate, and degrce of curve. 2. Chainage of the end of the curve. 3. Number of full chords and sub chords. 4. Lengths of sub chords. 5. Determine the offsets from long chord at 5m interval. 6. Dctermine the positions of points on the curve by successive bisection of chords 7. Dctermine the radial offsets from both the tangents at 7.5 m interval. 8. Determine the perpendicular offsets from both the tangents at 5 m interval. -9. Dctermine the offsets from chord produced. - 10. Determine the tangential angles by Rankin's Mcthod. (Use the exact formulae)

Take the registration number as 4954.

Answer 1

Given Chaingge hain age s Rotiuse 0 5304 ft fr-. c.ur ve.CR): yas-y 2 __. Ioー Tangco Chain aeP1-Chainage 5304 4954 - 3So we kn hajor simple circular curve 2. 350454

External distance oc 0, C. р.Т Long chosd CL. 57 l , 42 fr.. i 8o 1 86 609.91 fr-

2. -''External dish RUsec (T)-1] ce 12 5 29 St 1195, 너 Note : 100 chord length u used chain age. 아-p.T- Channa N umben ull chords con side vir0 loop- cha, d lena,h,

4 9 54 Chard ength 0 19 -'. Chai nage. ơ. kde : 49,5y → Take next integer lie 50 Lengthot first sub chordDoD 45 汀S Si mi larlh, 5563.4) L oo Chord Length 55. 634. Note: 55.634Toke previous imteger ie, 55 Chainage. f last full statu : Length f last sub chord Cen)553-11-55 00 : 63.415 Cnainage Last staton) Chosd leng th 5500-50o0 Lo o No. of fall chords

4. Length st sub chords These ore already caleulated in presi aus shep. n previous shep e.ou r s Sub Length of Last sub chord (Cn) 63y1 144o45 440) 힙 90-69 } 2

P.C am inter va ou 0 23 - Simlarty othor values Cam be calc uhhes

off sers from chood produced. I where e, 2. 2 ラ01 : 2-135-ft. 2- 2. R Loo 6 On- cwhere, Length ơf. Last-sub chord.

On P. c iduced