×
Log in to StudySoup
Get Full Access to Clemson - CE 2550 - Study Guide
Join StudySoup for FREE
Get Full Access to Clemson - CE 2550 - Study Guide

Already have an account? Login here
×
Reset your password

CLEMSON / Civil Engineering / CE 2550 / Illustrate the precision of an angle measurement.

Illustrate the precision of an angle measurement.

Illustrate the precision of an angle measurement.

Description

School: Clemson University
Department: Civil Engineering
Course: Geomatics
Professor: Sarasua
Term: Fall 2016
Tags: Geomatics
Cost: 50
Name: Geomatics Study Guide 2
Description: These notes cover what will be on the second exam in Geomatics taught by Dr. Sarasua
Uploaded: 10/03/2016
33 Pages 54 Views 3 Unlocks
Reviews


.lst-kix_mqoom2qxjm76-8 > li{counter-increment:lst-ctn-kix_mqoom2qxjm76-8}.lst-kix_r6epxow7vqax-2 > li:before{content:"■ "}ol.lst-kix_mqoom2qxjm76-3.start{counter-reset:lst-ctn-kix_mqoom2qxjm76-3 0}.lst-kix_r6epxow7vqax-3 > li:before{content:"● "}.lst-kix_r6epxow7vqax-0 > li:before{content:"● "}.lst-kix_r6epxow7vqax-1 > li:before{content:"○ "}ul.lst-kix_8zv88nfgch9p-1{list-style-type:none}ul.lst-kix_8zv88nfgch9p-0{list-style-type:none}ul.lst-kix_8zv88nfgch9p-7{list-style-type:none}ul.lst-kix_8zv88nfgch9p-6{list-style-type:none}ul.lst-kix_8zv88nfgch9p-8{list-style-type:none}ul.lst-kix_8zv88nfgch9p-3{list-style-type:none}ul.lst-kix_8zv88nfgch9p-2{list-style-type:none}ul.lst-kix_8zv88nfgch9p-5{list-style-type:none}ul.lst-kix_8zv88nfgch9p-4{list-style-type:none}.lst-kix_mqoom2qxjm76-6 > li{counter-increment:lst-ctn-kix_mqoom2qxjm76-6}.lst-kix_a01gndbiwdp3-0 > li:before{content:"● "}.lst-kix_r6epxow7vqax-7 > li:before{content:"○ "}.lst-kix_a01gndbiwdp3-1 > li:before{content:"○ "}.lst-kix_r6epxow7vqax-5 > li:before{content:"■ "}.lst-kix_r6epxow7vqax-6 > li:before{content:"● "}.lst-kix_a01gndbiwdp3-3 > li:before{content:"● "}.lst-kix_a01gndbiwdp3-4 > li:before{content:"○ "}.lst-kix_r6epxow7vqax-4 > li:before{content:"○ "}.lst-kix_a01gndbiwdp3-2 > li:before{content:"■ "}.lst-kix_a01gndbiwdp3-7 > li:before{content:"○ "}.lst-kix_a01gndbiwdp3-5 > li:before{content:"■ "}.lst-kix_a01gndbiwdp3-8 > li:before{content:"■ "}.lst-kix_r6epxow7vqax-8 > li:before{content:"■ "}.lst-kix_a01gndbiwdp3-6 > li:before{content:"● "}.lst-kix_mqoom2qxjm76-2 > li{counter-increment:lst-ctn-kix_mqoom2qxjm76-2}ul.lst-kix_538yvlrcf7my-8{list-style-type:none}.lst-kix_8zv88nfgch9p-1 > li:before{content:"○ "}ul.lst-kix_538yvlrcf7my-6{list-style-type:none}ul.lst-kix_538yvlrcf7my-7{list-style-type:none}.lst-kix_8zv88nfgch9p-3 > li:before{content:"● "}ul.lst-kix_538yvlrcf7my-0{list-style-type:none}ul.lst-kix_538yvlrcf7my-1{list-style-type:none}ul.lst-kix_538yvlrcf7my-4{list-style-type:none}ol.lst-kix_mqoom2qxjm76-7.start{counter-reset:lst-ctn-kix_mqoom2qxjm76-7 0}ul.lst-kix_538yvlrcf7my-5{list-style-type:none}ul.lst-kix_538yvlrcf7my-2{list-style-type:none}ul.lst-kix_538yvlrcf7my-3{list-style-type:none}.lst-kix_8zv88nfgch9p-7 > li:before{content:"○ "}.lst-kix_8zv88nfgch9p-5 > li:before{content:"■ "}.lst-kix_2537cqopogqu-2 > li:before{content:"■ "}.lst-kix_2537cqopogqu-6 > li:before{content:"● "}.lst-kix_2537cqopogqu-4 > li:before{content:"○ "}.lst-kix_io4krld961gp-1 > li:before{content:"○ "}ol.lst-kix_mqoom2qxjm76-8.start{counter-reset:lst-ctn-kix_mqoom2qxjm76-8 0}.lst-kix_o4x62mmkzvrq-2 > li:before{content:"■ "}.lst-kix_io4krld961gp-3 > li:before{content:"● "}.lst-kix_o4x62mmkzvrq-0 > li:before{content:"● "}.lst-kix_2537cqopogqu-8 > li:before{content:"■ "}.lst-kix_sin7syw3kmbc-5 > li:before{content:"■ "}.lst-kix_io4krld961gp-7 > li:before{content:"○ "}.lst-kix_mqoom2qxjm76-1 > li:before{content:"" counter(lst-ctn-kix_mqoom2qxjm76-1,lower-latin) ". "}.lst-kix_mqoom2qxjm76-3 > li:before{content:"" counter(lst-ctn-kix_mqoom2qxjm76-3,decimal) ". "}.lst-kix_sin7syw3kmbc-7 > li:before{content:"○ "}.lst-kix_io4krld961gp-5 > li:before{content:"■ "}.lst-kix_sin7syw3kmbc-3 > li:before{content:"● "}.lst-kix_mqoom2qxjm76-1 > li{counter-increment:lst-ctn-kix_mqoom2qxjm76-1}.lst-kix_mqoom2qxjm76-5 > li:before{content:"" counter(lst-ctn-kix_mqoom2qxjm76-5,lower-roman) ". "}.lst-kix_sin7syw3kmbc-1 > li:before{content:"○ "}.lst-kix_mqoom2qxjm76-7 > li:before{content:"" counter(lst-ctn-kix_mqoom2qxjm76-7,lower-latin) ". "}.lst-kix_mqoom2qxjm76-7 > li{counter-increment:lst-ctn-kix_mqoom2qxjm76-7}.lst-kix_2537cqopogqu-0 > li:before{content:"● "}ol.lst-kix_mqoom2qxjm76-6.start{counter-reset:lst-ctn-kix_mqoom2qxjm76-6 0}.lst-kix_dpzr8m5zr5py-1 > li:before{content:"○ "}.lst-kix_dpzr8m5zr5py-3 > li:before{content:"● "}.lst-kix_l93v09awcse5-4 > li:before{content:"○ "}.lst-kix_l93v09awcse5-6 > li:before{content:"● "}.lst-kix_dpzr8m5zr5py-2 > li:before{content:"■ "}.lst-kix_dpzr8m5zr5py-6 > li:before{content:"● "}.lst-kix_l93v09awcse5-5 > li:before{content:"■ "}.lst-kix_dpzr8m5zr5py-7 > li:before{content:"○ "}.lst-kix_l93v09awcse5-8 > li:before{content:"■ "}.lst-kix_l93v09awcse5-0 > li:before{content:"● "}.lst-kix_dpzr8m5zr5py-0 > li:before{content:"● "}.lst-kix_dpzr8m5zr5py-8 > li:before{content:"■ "}.lst-kix_l93v09awcse5-7 > li:before{content:"○ "}ul.lst-kix_r6epxow7vqax-2{list-style-type:none}ul.lst-kix_sin7syw3kmbc-8{list-style-type:none}ul.lst-kix_r6epxow7vqax-1{list-style-type:none}ul.lst-kix_sin7syw3kmbc-7{list-style-type:none}ul.lst-kix_r6epxow7vqax-4{list-style-type:none}ul.lst-kix_sin7syw3kmbc-6{list-style-type:none}ul.lst-kix_r6epxow7vqax-3{list-style-type:none}ul.lst-kix_sin7syw3kmbc-5{list-style-type:none}ul.lst-kix_r6epxow7vqax-6{list-style-type:none}ul.lst-kix_r6epxow7vqax-5{list-style-type:none}ul.lst-kix_r6epxow7vqax-8{list-style-type:none}ul.lst-kix_r6epxow7vqax-7{list-style-type:none}ul.lst-kix_sin7syw3kmbc-0{list-style-type:none}ul.lst-kix_sin7syw3kmbc-4{list-style-type:none}ul.lst-kix_sin7syw3kmbc-3{list-style-type:none}ul.lst-kix_r6epxow7vqax-0{list-style-type:none}ul.lst-kix_sin7syw3kmbc-2{list-style-type:none}ul.lst-kix_sin7syw3kmbc-1{list-style-type:none}ul.lst-kix_2537cqopogqu-8{list-style-type:none}.lst-kix_o4x62mmkzvrq-7 > li:before{content:"○ "}ul.lst-kix_2537cqopogqu-7{list-style-type:none}.lst-kix_o4x62mmkzvrq-6 > li:before{content:"● "}ul.lst-kix_2537cqopogqu-2{list-style-type:none}ul.lst-kix_2537cqopogqu-1{list-style-type:none}ul.lst-kix_2537cqopogqu-0{list-style-type:none}.lst-kix_o4x62mmkzvrq-3 > li:before{content:"● "}.lst-kix_o4x62mmkzvrq-5 > li:before{content:"■ "}ul.lst-kix_2537cqopogqu-6{list-style-type:none}ul.lst-kix_2537cqopogqu-5{list-style-type:none}ul.lst-kix_2537cqopogqu-4{list-style-type:none}.lst-kix_o4x62mmkzvrq-4 > li:before{content:"○ "}ul.lst-kix_2537cqopogqu-3{list-style-type:none}.lst-kix_538yvlrcf7my-7 > li:before{content:"○ "}.lst-kix_538yvlrcf7my-4 > li:before{content:"○ "}.lst-kix_538yvlrcf7my-8 > li:before{content:"■ "}.lst-kix_dpzr8m5zr5py-5 > li:before{content:"■ "}.lst-kix_538yvlrcf7my-5 > li:before{content:"■ "}.lst-kix_o4x62mmkzvrq-8 > li:before{content:"■ "}.lst-kix_dpzr8m5zr5py-4 > li:before{content:"○ "}.lst-kix_538yvlrcf7my-6 > li:before{content:"● "}.lst-kix_538yvlrcf7my-1 > li:before{content:"○ "}.lst-kix_538yvlrcf7my-0 > li:before{content:"● "}ol.lst-kix_mqoom2qxjm76-0{list-style-type:none}.lst-kix_mqoom2qxjm76-0 > li{counter-increment:lst-ctn-kix_mqoom2qxjm76-0}.lst-kix_538yvlrcf7my-3 > li:before{content:"● "}ol.lst-kix_mqoom2qxjm76-3{list-style-type:none}ol.lst-kix_mqoom2qxjm76-4{list-style-type:none}ol.lst-kix_mqoom2qxjm76-1{list-style-type:none}ol.lst-kix_mqoom2qxjm76-2{list-style-type:none}.lst-kix_538yvlrcf7my-2 > li:before{content:"■ "}ol.lst-kix_mqoom2qxjm76-7{list-style-type:none}ol.lst-kix_mqoom2qxjm76-8{list-style-type:none}ol.lst-kix_mqoom2qxjm76-5{list-style-type:none}ol.lst-kix_mqoom2qxjm76-6{list-style-type:none}.lst-kix_mqoom2qxjm76-5 > li{counter-increment:lst-ctn-kix_mqoom2qxjm76-5}ol.lst-kix_mqoom2qxjm76-5.start{counter-reset:lst-ctn-kix_mqoom2qxjm76-5 0}ol.lst-kix_mqoom2qxjm76-0.start{counter-reset:lst-ctn-kix_mqoom2qxjm76-0 0}ul.lst-kix_dpzr8m5zr5py-0{list-style-type:none}ul.lst-kix_dpzr8m5zr5py-1{list-style-type:none}ul.lst-kix_dpzr8m5zr5py-2{list-style-type:none}ul.lst-kix_dpzr8m5zr5py-3{list-style-type:none}ul.lst-kix_dpzr8m5zr5py-4{list-style-type:none}ul.lst-kix_dpzr8m5zr5py-5{list-style-type:none}ul.lst-kix_io4krld961gp-0{list-style-type:none}ul.lst-kix_dpzr8m5zr5py-6{list-style-type:none}.lst-kix_l93v09awcse5-1 > li:before{content:"○ "}ul.lst-kix_io4krld961gp-1{list-style-type:none}ul.lst-kix_dpzr8m5zr5py-7{list-style-type:none}.lst-kix_l93v09awcse5-2 > li:before{content:"■ "}ul.lst-kix_io4krld961gp-2{list-style-type:none}ul.lst-kix_dpzr8m5zr5py-8{list-style-type:none}ul.lst-kix_io4krld961gp-3{list-style-type:none}ul.lst-kix_io4krld961gp-4{list-style-type:none}ul.lst-kix_io4krld961gp-5{list-style-type:none}ul.lst-kix_io4krld961gp-6{list-style-type:none}ul.lst-kix_io4krld961gp-7{list-style-type:none}ul.lst-kix_io4krld961gp-8{list-style-type:none}.lst-kix_l93v09awcse5-3 > li:before{content:"● "}.lst-kix_mqoom2qxjm76-3 > li{counter-increment:lst-ctn-kix_mqoom2qxjm76-3}.lst-kix_mqoom2qxjm76-0 > li:before{content:"" counter(lst-ctn-kix_mqoom2qxjm76-0,decimal) ". "}.lst-kix_8zv88nfgch9p-0 > li:before{content:"● "}.lst-kix_8zv88nfgch9p-2 > li:before{content:"■ "}.lst-kix_8zv88nfgch9p-8 > li:before{content:"■ "}.lst-kix_8zv88nfgch9p-6 > li:before{content:"● "}.lst-kix_8zv88nfgch9p-4 > li:before{content:"○ "}ol.lst-kix_mqoom2qxjm76-4.start{counter-reset:lst-ctn-kix_mqoom2qxjm76-4 0}.lst-kix_2537cqopogqu-1 > li:before{content:"○ "}.lst-kix_2537cqopogqu-3 > li:before{content:"● "}ol.lst-kix_mqoom2qxjm76-1.start{counter-reset:lst-ctn-kix_mqoom2qxjm76-1 0}.lst-kix_2537cqopogqu-5 > li:before{content:"■ "}ul.lst-kix_o4x62mmkzvrq-1{list-style-type:none}.lst-kix_io4krld961gp-0 > li:before{content:"● "}ul.lst-kix_o4x62mmkzvrq-0{list-style-type:none}.lst-kix_o4x62mmkzvrq-1 > li:before{content:"○ "}ul.lst-kix_o4x62mmkzvrq-7{list-style-type:none}ul.lst-kix_o4x62mmkzvrq-6{list-style-type:none}.lst-kix_io4krld961gp-2 > li:before{content:"■ "}.lst-kix_io4krld961gp-4 > li:before{content:"○ "}ul.lst-kix_o4x62mmkzvrq-8{list-style-type:none}.lst-kix_2537cqopogqu-7 > li:before{content:"○ "}ul.lst-kix_o4x62mmkzvrq-3{list-style-type:none}ul.lst-kix_o4x62mmkzvrq-2{list-style-type:none}ul.lst-kix_o4x62mmkzvrq-5{list-style-type:none}.lst-kix_sin7syw3kmbc-8 > li:before{content:"■ "}ul.lst-kix_o4x62mmkzvrq-4{list-style-type:none}.lst-kix_mqoom2qxjm76-2 > li:before{content:"" counter(lst-ctn-kix_mqoom2qxjm76-2,lower-roman) ". "}ul.lst-kix_a01gndbiwdp3-0{list-style-type:none}ul.lst-kix_a01gndbiwdp3-1{list-style-type:none}.lst-kix_io4krld961gp-6 > li:before{content:"● "}.lst-kix_io4krld961gp-8 > li:before{content:"■ "}.lst-kix_mqoom2qxjm76-4 > li{counter-increment:lst-ctn-kix_mqoom2qxjm76-4}ul.lst-kix_a01gndbiwdp3-2{list-style-type:none}ul.lst-kix_a01gndbiwdp3-3{list-style-type:none}ul.lst-kix_a01gndbiwdp3-4{list-style-type:none}.lst-kix_sin7syw3kmbc-6 > li:before{content:"● "}ul.lst-kix_a01gndbiwdp3-5{list-style-type:none}ul.lst-kix_a01gndbiwdp3-6{list-style-type:none}ul.lst-kix_a01gndbiwdp3-7{list-style-type:none}ul.lst-kix_l93v09awcse5-2{list-style-type:none}ul.lst-kix_a01gndbiwdp3-8{list-style-type:none}ul.lst-kix_l93v09awcse5-3{list-style-type:none}ul.lst-kix_l93v09awcse5-4{list-style-type:none}ul.lst-kix_l93v09awcse5-5{list-style-type:none}.lst-kix_mqoom2qxjm76-4 > li:before{content:"" counter(lst-ctn-kix_mqoom2qxjm76-4,lower-latin) ". "}ul.lst-kix_l93v09awcse5-6{list-style-type:none}.lst-kix_sin7syw3kmbc-4 > li:before{content:"○ "}ol.lst-kix_mqoom2qxjm76-2.start{counter-reset:lst-ctn-kix_mqoom2qxjm76-2 0}ul.lst-kix_l93v09awcse5-7{list-style-type:none}ul.lst-kix_l93v09awcse5-8{list-style-type:none}ul.lst-kix_l93v09awcse5-0{list-style-type:none}ul.lst-kix_l93v09awcse5-1{list-style-type:none}.lst-kix_mqoom2qxjm76-6 > li:before{content:"" counter(lst-ctn-kix_mqoom2qxjm76-6,decimal) ". "}.lst-kix_sin7syw3kmbc-2 > li:before{content:"■ "}.lst-kix_mqoom2qxjm76-8 > li:before{content:"" counter(lst-ctn-kix_mqoom2qxjm76-8,lower-roman) ". "}.lst-kix_sin7syw3kmbc-0 > li:before{content:"● "}

PRECISION OF AN ANGLE MEASUREMENTWe also discuss several other topics like Does the supreme court have original jurisdiction and appellate jurisdiction?

ANGULAR ERROR                ANGULAR PRECISION

  • 5’                                        1/688
  • 1’                                        1/3440
  • 30”                                        1/6880
  • 10”                                        1/20,600
  • 1”                                        1/206,00

  • Able to find values trig: TAN!

        Example: Find angular precision with an error of 30’

  • tan .5o = 1/x

If you want to learn more check out How did the protestant upper class behave during the age called american exceptionalism?

Traverse Adjustment (Chapter 12)

Don't forget about the age old question of Why must government find it prudent to heed public opinion?
If you want to learn more check out Describe the process of cellular respiration.

Latitudes and Departures

  • The latitude of a line is its projection on the north-south meridian
  • Latitude = y-value = latitude of a line
  • The departure of a line is its projection on the east-west reference parallel
  • Longitude = x -value = departure of a line

We also discuss several other topics like What are the requirements for moral judgement?
Don't forget about the age old question of What are the diseases caused by mosquitoes?

Traverse Adjustment Overview

  1. Balancing field measured angles
  2. Calculate bearings or azimuths from corrected angles
  3. Calculate unbalanced latitudes and departures
  4. Calculate the error of closure and precision
  5. Compute balanced latitudes and departures
  6. Compute balanced angles and distances
  7. Compute coordinates of traverse vertices

  • With no error,
  • ∑ latitudes = 0
  • ∑ longitudes or departures = 0

Calculate Bearings and Azimuths from Corrected Angles

  • distribute angular error

Table 12-1 Balanced Angles and Bearings

 

Point

Measured Angle

Corrected Angle

Calculated bearing from corrected angles

Calculate Azimuths from corrected angles

A

36o 44’ 20”

36o 44’ 23”

S 6o 15’ 00” W

186o 15’ 00”

B

215o 51’ 55”

215o 51’ 58”

S 29o 36’ 58” E

160o 23’ 02”

C

51o 40’ 25”

51o 40’ 28”

N 81o 17’ 26” W

278o 42’ 34”

D

111o 06’ 30”

111o 06’ 33”

N 12o 23’ 59” W

347o 36’ 01”

E

124o 36’ 35”

124o 36’ 38”

N 42o 59’ 23” E

42o 59’ 23”

∑ = 539o 59’ 45”

∑ = 540o 00’ 00”

Calculate unbalanced latitudes and departures

Departure = L sin 𝞪

Latitude = L cos 𝞪

Error of Closure

Figure 12-4: Error of Closure.

  • The error of closure can be easily calculated as follows:

 

and the precision of the measurements can be obtained by the expression

  • Precision: give answer as 1/x, not as decimal

Table 12-2 Computing Latitudes and Departures

Side

Bearing

Length

Latitude = Length

* cosine of bearing

Departure = Length

* sine of bearing

+N

-S

+E

-W

AB

S 6o 15’ 00” W

89.531

---

188.403

---

20.634

BC

S 29o 36’ 58” E

175.18

---

152.293

86.571

---

CD

N 81o 17’ 26” W

197.78

29.949

---

---

195.499

DE

N 12o 23’ 59” W

142.39

139.069

---

---

30.575

EA

N 42o 59’ 23” E

234.68

171.590

---

159.952

---

∑ = 939.46

+340.607

-340.696

+246.523

-246.708

EL = -0.089 or too much south

ED = -0.185 or too much west

Eclosure =

  • Clat = [Etot (course length) ] / ∑ length → Etot : latitude error
  • Ex: EA: Clat = [0.089 * (234.58) ] / 939.46 = .020
  • Cdep = [Etot (course length) ] / ∑ length → Etot : departure error

Earthwork

Average End Area Method

  • Assumes volume between two consecutive cross sections is the average of their areas multiplied by the distance between them
  • V = L (A1 + A2) / (2 * 27) → cubic ft → cubic yds.
  • V = volume (yd3)
  • A1 and A2 = end areas of cross-sections 1 and 2 (ft2)
  • L = distance between cross-sections (feet)

Shrinkage

  • Material volume increases during excavation
  • Decreases during compaction
  • Varies with soil type and depth of fill
  • Ex: how much cut do you need for the fill section of 47 yd3 if shrinkage is 10%?

Page Expired
5off
It looks like your free minutes have expired! Lucky for you we have all the content you need, just sign up here