AREAS
Factors affecting choice of methods
the shape of the area
the accuracy required
For geometric figures:
Why do we need areas?
building development and land utilization
projects, land transactions, architectural
design, and the preparation of bills fo
Angular Measurement
Horizontal and vertical angles are fundamental
measurements in surveying
Theodolite is the instrument used to perform
accurate angular measurements in surveying
AngularMeasurement_ELS0506: 1
Angular Measurement
Vertical angle is the
Teaching Plan
Course
: Higher Diploma in Infrastructure and Environmental Engineering
Class
: 51315/1E1 & 1E2
Module
: Elementary Land Surveying (CBE6003)
Hour
: 30 ( 10 hours of lectures, 5 hours of tutorials and 15 hours
of laboratory sessions )
Teachin
Assessment Plan
Course
Class
Module
Hour
: Higher Diploma in Infrastructure and Environmental Engineering
: 51315/1E1 & 1E2
: Elementary Land Surveying (CBE6003)
: 30 ( 10 hours of lectures, 5 hours of tutorials and 15 hours of laboratory sessions )
Asses
Hong Kong Institute of Vocational Education
Construction Discipline
Department of Construction
Module Syllabus
Module Title:
Module Code:
Class-Contact Hours:
Module Value
Elementary Land Surveying
CBE6003
Lecture
10 hours
Laboratory
5 hours
Tutorial
15 h
Applications of differentiation (II)
Reference:
Croft & Davison Chapter 12 p.675-685
http:/www.sosmath.com
Maximum and minimum
D
B
X1
C
X2
A
Referring to the figure, indicate the type of maximum
and minimum for the points from x1 to x2.
V-01
Page 1
The fi
Applications of differentiation (I)
Reference:
Croft & Davison Chapter 12 p.669-674
http:/www.sosmath.com
Tangents and normals
The derivative gives the
rate at which the function is
changing. Alternatively, it
can be interpreted as the
gradient of a tange
Parametric differentiation & Logarithmic differentiation
Reference:
Croft & Davison Chapter 12 p.661-667
http:/www.math.utep.edu/sosmath
Parametric differentiation
If x and y depend upon a third variable, say t, we call t a
parameter.
y = (5 + t )2 and x
Implicit differentiation
Reference:
Croft & Davison Chapter 12 p.654-659
http:/www.sosmath.com
Implicit differentiation
Whenever y is equated to an equation involving only x
terms then y is said to be expressed explicitly in terms
of x . We write y =f (x)
Differentiation - The chain rule
Reference:
Croft & Davison Chapter 12 p.648-653
http:/www.sosmath.com
Composite function
Suppose y is a function of z, that is y = y(z), and that z is
a function of x, that is z = z(x). So
y = y( z ) = y( z( x )
Hence y ma
DIFFERENTIATION - The product rule and the quotient rule
Reference: Croft & Davison Chapter 12 p.642-647
http:/www.sosmath.com
Form of product function y( x ) = u( x )v( x )
Form of quotient function y( x ) =
e.g.1
u( x )
v( x )
y( x ) = x 2 cos x
This is
Differentiation-Table of derivatives & Higher derivatives
Reference:
Croft & Davison Chapter 11 p.626-639
http:/www.sosmath.com
Table of derivatives
Function f ( x )
constant k
x
kx
kx
n
ln x
ln kx
Table of derivatives &
Derivative
0
1
k
df ( x )
dx
knx n
Differentiation - Interpretation of a derivative
Reference:
Croft & Davison Chapter 11 p.616-625
http:/www.sosmath.com
Introduction
Differentiation is a technique for analyzing the way in
which functions change (i.e. the rate at which some
variable is cha
4a Precast Concrete
Precasting means casting a concrete member at a place other than where it will be
used and then moving it to the place where it will be installed.
1.
Precast yard
Most precast units are produced in factories or casting yards. Fundament
3 - Basement
0B
1
Quick Revision
1.1 Problems arising from basement construction
a.
Excavation method.
b.
Surface and ground water control
c.
Lateral stability of basement excavation.
d.
Stability of adjoining building.
1.2 Methods of ground water control
2B
Quality Control of Piles
As the design and construction of buildings become more complex, it is
necessary to exercise closer supervision during construction to ensure quality of
the building works.
The foundation of a building is a fundamental structur
2 - Foundation
The British Standard Code of Practice BS8004 defines a foundation as 'that part of
the structure designed and constructed to be in direct contact with and transmitting
loads to the ground'
1
Shallow Foundation (quick revision)
1.1
Pad footi
1 - Earthwork
1
Site Formation
Site formation works include:
site clearance
reshaping of land profile - cut and fill
road works
road drainage works and laying of services & utilities
1.1 Site clearance
This may involve:
felling trees, grubbing out of bush
From Start to Finish: Model, Design and Optimize
a Multi-Story Concrete Structure using ETABS
Presented by
Seminar Topics
General Modeling
Import DXF or DWG file from AutoCAD
Model Creation (Concrete Beams, Columns and Floors)
Meshing of Concrete Floor Sy
Chapter:
123B
BUILDING (CONSTRUCTION) REGULATIONS
Empowering section
Gazette Number Version Date
30/06/1997
(Cap 123, section 38)
[28 December 1990]
(Originally L.N. 439 of 1990)
Part:
I
Regulation: 1
GENERAL
30/06/1997
Citation
30/06/1997
These regulatio