CIVL 102
Practice problem for Ch. 6 (Variation of coordinates method)
The following (x, y) coordinates (in m) of three points on a circle were measured:
(9.4, 5.6), (7.6, 7.2) and (3.8, 4.8)
The equation for a circle with center (x0, y0) and radius r is
(
Chapter4
Traversing
Definitions
Traverse
Series of straight lines connecting survey stations
begins with 2 known points (baseline)
Traversing:
Determining (E, N) by measuring horizontal angles &
distances between stations
Classification: closed vs. open
CIVL 102
Least-squares leveling adjustment (100 marks)
Six level differences were observed as shown in the table below. The weight of each observation is
given as 1000 / d, where d = plan distance (in km) between the two stations involved. P is a benchmar
CIVL 102
Assignment 4
Use the AUTOPLOT program to plot your assigned coordinate data (see below) at 1:500 scale on A4 paper. You
plot must have a title, and the scale must be specified on it. Use the "X" point style and all stations must be
labelled. All
HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY
DEPT. OF CIVIL & STRUCTURAL ENGINEERING
CIVL 102 - SURVEYING
FINAL EXAMINATION
Answer ALL Questions
Note: some questions (in purple) are irrelevant to the now-revised 2003 syllabus
Name:
Student No:
Saturday,
Psychology 7291: Multivariate Statistics (Carey) 8/27/98
Matrix Algebra - 1
Introduction to Matrix Algebra
Definitions:
A matrix is a collection of numbers ordered by rows and columns. It is customary to enclose the elements of a matrix in parentheses, br
Formula sheet
(1) The most probable values of observed quantities are such that they minimize the total
weighted sum of square residuals, SSR = weight (residual)2
n
2
minimizes wi ri = (W1/2r)T(W1/2 r) where r = Ax k
(2) x = (ATWA)1ATWk
i
1
(3)
Q
river
a
(b)
Station
E (m)
N (m)
Back
station
S2
Given values
S2
S1
Adjusted
value
K
Solution to book Ch.3 Ex. 2 (30 points)
A
Ans. To (a): Use formula (3.2) in book, straightforward
(accept within 5mm)
3700.000 mE (within 5mm OK)(no decimal place shown: -5 points
CIVL 102
Fall 2005
Homework #3
Assigned: Nov. 16, 2005
Due:
5pm, Nov. 23, 2005 (in CIVL 102 collection box outside room 2126)
Suppose the following (x, y) coordinates (in m) of four points on a circle were measured:
(1.100, 6.200), (2.300, 1.400), (7.500,