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> Closure - > IBS - IFS Elm W 21 > BM u![ -BM known - - PDF document

Oct 25, 2023 281 likes •344 views

FE Review-Surveying Ex 1. Azimuths & Bearings Determine the Azimuth and Bearing for each of the following: (a) (b) N N 70 w W 55 (C) (d) N N 45 W W 80 s S 1 FE Review-Surveying Ex. 2 Area Calculation Boundary and

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SLIDE 1

FE Review-Surveying 1

Ex 1. Azimuths & Bearings

  • Determine the Azimuth and Bearing for each of the following:

(a)

N

(b)

w

N

70° W 55°

(C) 45 N

(d)

N W W

s 80°

S

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SLIDE 2

FE Review-Surveying 2

  • Ex. 2 Area Calculation

Boundary and traverse lines bounding an irregular area are shown below. Estimate the total area using all 3 methods.

j

  • 34'

21' 23' 29' 31'

V

>

,

Traverse Line ^

t \

>

  • V

3D'

30' 30' 30' 30'

So

21

23

2S

31'

v Traverse Line ^

30 30

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SLIDE 3

FE Review-Surveying 3

  • Ex. 2 Area Calculation

Boundary and traverse lines bounding an irregular area are shown below. Estimate the total area using all 3 methods.

So. Wis*

21

23 29' 31'

' laveise Lih6

30' 3u

: 237

Area by Coordinates

X

v Plus

Minus

A B C D

E F

G H

I

J

K L

A Sum Area Area by Coordinates

X

v Plus

Min

us A

  • B

34 C 30

21

1020 D 60 23 1260 690

E

90 29 2070 1740

F

120 31 3430 2790 G 150 23 4650 2760 H 150 3450

I

120

J

90

K

60

L

30 A Sum 15930 7930 Area 3975

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SLIDE 4

Station BS= HI FS- Elevation Adjusted Elevation BM1 5.51 100.000 100.000 TP1 6.53 3.250 BM2 4.32 10.500 TP2 3.277 6.670 BM1 7.890

FE Review-Surveying 4

Determine differential elevation between 2 points by taking backsights and foresights on rod

> HI -

BM + BS

> Elev = HI -

FS > Closure -

> IBS -

IFS

> BMu![-BMknown

  • Distribute errors

Elm

W 21

SM Bock

Eev 820.00

Oktuio Mv 0,00

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SLIDE 5

Station Distance (ft) Bearing (ϴ) Departure Lsin(ϴ) Latitude Lcos(ϴ) Easting (X) Northing (Y) B 8,755.32 11,250.61 487.52 N18°22'E C 789.16 S87°10'E D 825.97 S78°37'E K

FE Review-Surveying 5 Objective is to measure the boundaries of a (typically closed) area

  • Measure boundary angles and lengths in the field
  • Calculate departures AX & latitudes AY

» Calculate coordinates

  • Compare calculated and known coordinates
  • P. 170

LATITUDES AND DEPARTURES * Lititufr

  • Qfntei

* Oeparfrre

  • Latitude

m

A (T&sgjf traverse is run from Point B to Point K. The known coordinates of Point K are I

l,5N.I5N and IO.507.23E. Find the linear closure error.

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SLIDE 6

Station (ft) Cut Area (ft2) Fill Area (ft2) Cut Volume (ft3) Fill Volume (ft3) 20+00

  • 173.21

20+10.50

  • 43.56

20+21.50 14.32 9.63 20+28.45 64.73

  • 20+40

187.42

  • Average End Volume

𝑊 = 𝑀 𝐵1 + 𝐵2 2 Pyrimid/Cone Volume 𝑊 = ℎ 𝐶𝑏𝑡𝑓 𝐵𝑠𝑓𝑏 3

FE Review-Surveying 6