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Differential Equations by (Shepley L. Ross)Descripción completa
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Department of Civil Engineering College of Engineering Visayas State University Baybay, Leyte GEng 111, Exercise 12
DIFFERENTIL LEVELIN! TITLE
Name: Joycelyn H. Uy 1"#1$, 2%12 &o'rse and (ear: )S&E#* 2%12
Date Performed: Setem!er Date S' S'!mitted: +c +cto!er , ,
I Intro"#$tion% Di-er Di-erent ential ial leeli leeling ng is t/e roce rocess ss 'sed 'sed to deter determin mine e a di-e di-errence ence in ele eleat atio ion n !et0 !et0ee een n t0o t0o oin oints ts.. eel eel is an instr'ment 0it/ a telescoe t/at can !e leeled 0it/ a sirit !'!!le. 3/e otical line of sig/t forms a /ori4ontal lane, 0/ic/ is at t/e same eleation as t/e telescoe cross/air. )y reading a grad' grad'at ated ed rod /eld /eld ert ertic ical ally ly on a oin ointt of 5no0 5no0n n ele eleat atio ion n 6)enc/ 7ar58 a di-erence in eleation can !e meas'red and a /eig/t of instr'ment 6H.9.8 calc'lated !y adding t/e rod reading to t/e t/e ele eleat atiion of t/e !enc !enc/ / mar5. ar5. +nce nce t/e t/e /ei /eig/t g/t of inst instrr'me 'ment is esta! sta!li lis/ s/ed ed,, rod readi eading ngs s can !e ta5 ta5en on s'!se' s'!se'ent ent oints oints and t/eir t/eir eleat eleation ions s calc'l calc'late ated d !y simly simly s'!tracting t/e readings from t/e /eig/t of instr'ment.
II
&b'e$tives% 1 3o learn learn /o0 to r'n r'n di-er di-erential ential leeling. leeling. 2 3o lear learn n /o0 /o0 to deter determi mine ne t/e elea eleati tion on of oin oints ts !y di-erential leeling. * 3o learn learn /o0 to ad;'st t/e di-er di-erentia entiall leelin leeling. g.
III III
Inst Instr# r#m ment ents% Stadia rod, engineer
IV
(ro$e"#re% 1. refere eference nce oint oint of 5no0n 5no0n eleati eleation on 0as design designate ated. d. 3/is oint 0as called as )71.
2. 3/e instr'ment 0as set ' and leeled at a conenient location. !ac5 sig/t 0as ta5en and recorded on )71. *. t'rning oint 6BM1 and TP1 are NOT necessarily to be in straight line8 0as esta!lis/ed, a foresig/t on 3P1 0as ta5en and recorded. 3/e !ac5 sig/t and foresig/t distance 0as 5et e'al to minimi4e error. >. 3/e instr'ment 0as transferred and leeled at any conenient distance !eyond 3P1. ?. !ac5 sig/t on 3P1 0as ta5en and recorded. @. not/er t'rning oint 63P28 0as esta!lis/ed at a conenient distance a/ead of t/e instr'ment. ". foresig/t to 3P2 0as ta5en and recorded. . Proced're > A" 0as reeated 'ntil )71 0as reac/ed 6t/is is ta5ing a foresig/t to )71.8
3/e ta!le a!oe s/o0s t/e res'lts in di-erential leeling. 3/e eleation at )71 is 5no0n to !e *%. meters, and 0e need to 5no0 t/e eleation of )72. 3/e leel is set ' at a oint near )71, and a rod reading ta5en. 3/e /eig/t of instr'ment 6H98 is calc'lated !y adding t/e eleation of t/e !enc/mar5 and t/e !ac5sig/t. nd t/en a rod reading to a t'rning oint 63P18 is ta5en. 3/e reading of t/e foresig/t is s'!tracted from t/e /eig/t of instr'ment to o!tain t/e eleation at 3P1. 3/e rod stays at 3P1, t/e leel moes a/ead and t/e rod at 3P1 no0 !ecomes t/e !ac5sig/t. 3/is roced're 0as reeated 'ntil t/e Bnal foresig/t to )72 0as o!tained 0/ic/ /as an aerage of 12.> meters.
VI
Con$l#sion% 9 concl'de t/at to r'n di-erential leeling, 0e /ae to 5no0 Brst t/e !enc/mar5s of t/e said eleation and need to get t/e !as5sig/ts and foresig/ts from t/e Brst !enc/mar5 do0n to t/e last and t/en calc'late t/e /eig/t of instr'ment !y adding t/e eleation of t/e station and t/e !ac5sig/t. 3/en Bnally, eleation is com'ted !y s'!tracting t/e foresig/t from t/e /eig/t of instr'ment.
