Homework Assignment #$2$

Course Topic$($s$)$: Surveying $-$ Introduction to Surveying; Distance Measurements; Leveling

Due Date: Wednesday $-$ Nov. $6^{th},2024[$Electronic submission on Moodle$]$

Note: Group study is encouraged, but assignment questions must be solved individually by each student. quad ruled, or engineering$).$ Course code, homework number, and your name must be written on top of your homework. Solutions must be neatly written to get full credit. Up to $50$ points can be deducted for unorganized, unclear, illegible, carelessly prepared homework solutions. For late submissions, $10$ points will be deducted per business day and no homework will be accepted after $2$ business days from due date.

If hardcopy of your homework is requested, it must be stapled; unstapled or homework in a plastic folder will not be accepted. If electronic copy of your homework is requested, it must be scanned properly with a scanner or a scanning app and submitted as a single pdf file via link provided on Moodle. Name the pdf file as CE$309\_$HW$2\_$Name$\_$Lastname.pdf$.$

Q$1.$ Compute the error due to curvature and refraction for the following distances: $(20$ pt$)$

a$.300$ m

b$.,10km$

Q$2.$ Determine the reduced levels $($elevations$)$ for each station based on the rod readings given below for a differential leveling survey. Use both the height of collimation method and the rise and fall method. Show the arithmetic check. If there is any closure error $($misclosure$)$ at BM$2$ elevation, distribute it equally to each station. $(40$ pt$)$

$($Elevation $=$

$250\mathrm{.}000m$

Q$3.$ Determine the reduced levels $($elevations$)$ for each station based on the rod readings $($BS$,$ FS$,$ IS$)$ given below for a profile leveling survey. Use both the height of collimation method and the rise and fall method. Show the arithmetic check. If there is any closure error $($misclosure$)$ at BM$2$ elevation, distribute it equally to each station. Plot the profile of the distance surveyed using Excel or a high$-$level programming language $($Python$/$Matlab$).(40$ pt$)$