Tutorial 2
Problem
Calculate the quantities of ingredients required for casting a beam and cubes in the lab
having a total volume of 0.05 m3. The concrete mix should have a slump of 10 to 30 mm,
and a characteristic 28-day strength of 30 N/mm2 (with defec
Tutorial 3 - Suggested Solution
1.Covalent bonds are directional in nature. However, ionic or metallic bonds are nondirectional. The atoms cannot be densely packed together in covalently bonded
materials and lower mass densities are thus yielded.
2.
3.
4.
LECTURE 11
Corrosion and Degradation
Phase Diagrams
1
11
11.1:CORROSION AND DEGRADATION
AND DEGRADATION
ISSUES TO ADDRESS.
Why does corrosion occur?
Why does corrosion occur
What metals are most likely to corrode?
How do temperature and environment a
CSE 251
CSE 251
Materials Science and Technology
LECTURE 4
Ir. CL KWAN
Department of Civil and Environmental Engineering
The Hong Kong Polytechnic University
Hong Kong Polytechnic University
Concrete
Mix Design
Concrete mix design can be defined as the p
CSE 19251
CSE 19251
Materials Science and Technology
LECTURE 1
Ir. CL KWAN
Department of Civil and Structural Engineering
The Hong Kong Polytechnic University
Hong Kong Polytechnic University
Subject Lecturer:
Subject Lecturer:
Ir. CL Kwan
CL Kwan
Room T
LECTURE 10
Dislocations & Strengthening
Mechanisms
Mechanical Failure
1
10.1: Dislocations Strengthening
10.1: Dislocations & Strengthening
Mechanisms
ISSUES TO ADDRESS.
Why are dislocations observed primarily in metals
and alloys?
How are strength an
LECTURE 12
Phase Transformations
Applications and Processing of Metal
Alloys
Alloys
1
12
12.1:Phase Transformations
Transformations
ISSUES TO ADDRESS.
Transforming one phase into another takes time.
Fe
(Austenite)
C
FCC
Fe C
3
Eutectoid
transformation
Lecture 8: The Structure of Crystalline Solids
Lecture 8: The Structure of Crystalline Solids
ISSUES TO ADDRESS.
How do atoms assemble into solid structures?
(for now, focus on metals)
How does the density of a material depend on
its structure?
When do
Rocks
Rocks
1
A rock is a solid aggregate of mineral grains,
or a solid, naturally occurring mass
composed of mineral grains, glass, altered
organic matter and combinations of these
components.
2
Based
Based on the mode of origin, rock can be
divided into
Question 1
Question2
45
Calculate the quantities of ingredients required for casting a
beam and cubes in the lab having a total volume of 0.05 m3.
The concrete mix should have a slump of 60 to 180 mm, and a
characteristic 28-day strength of 45 N/mm2 (with
The Hong Kong Polytechnic University
Higher Diploma in Civil Engineering
Material Science and Technology
Creep Test
Objective:
To determine the creep behaviour of different materials at room temperature
under various stress levels.
Apparatus:
Creep measur
The Hong Kong Polytechnic University
Higher Diploma in Civil Engineering
Material Science and Technology
Assignment 2
Due Date for submission: 6 May 2013
1. A cylindrical specimen of cold-worked 1040 steel has a Brinell hardness of 250.
(a) Estimate its d
Lecture
Lecture 4
Analysis of Statically Determinate
Ri
Rigid-jointed Frames and Arches
Department of &
Department of Civil Civil &
Structural Engineering
Environmental Engineering
8/03/2013
CL Kwan
Page 1
CHAPTER OUTLINE
CHAPTER OUTLINE
1. Shear and Mome
CSE19100 - Mechanics of Materials
Assignment 1
Due Date for submission: 8 March 2013
1. Determine the resultant internal loadings acting on the cross sections located through
points D and E of the frame, where AD=1m and CE=1.25m.
D
E
2. Determine the forc
CSE 251
CSE 251
Materials Science and Technology
LECTURE 3
Ir. CL KWAN
Department of Civil and Structural Engineering
The Hong Kong Polytechnic University
Hong Kong Polytechnic University
Properties of Concrete
Properties of Fresh Concrete
Co
Fresh concr
CSE 19251
CSE 19251
Materials Science and Technology
LECTURE 5
Ir. CL KWAN
Department of Civil and Environmental Engineering
The Hong Kong Polytechnic University
Hong Kong Polytechnic University
Concrete
Qua
Quality Compliance ()
Co
Strength
Sampling
Sel
CSE 19251
CSE 19251
Materials Science and Technology
LECTURE 6
Ir. CL KWAN
Department of Civil and Environmental Engineering
The Hong Kong Polytechnic University
Hong Kong Polytechnic University
Concrete
Assessment of in-situ Concrete Quality
()
Common r
Solution to Assignment 4
1.
Using these values, we can find the principal centroidal moments of inertia and the
angles to the corresponding principal axes are
2: using stress transformation equations
Using Mohrs circle
Tutorial 6
Plane Stress
Department of Civil &
Structural Engineering
11/04/2017
Y. Xia
Page 1
The transformation equations for the plane stress
x1 =
x + y
2
x1 y1 =
y1 =
+
x y
2
x y
2
x + y
2
cos 2 + xy sin 2
sin 2 + xy cos 2
x y
2
cos 2 xy sin 2
Tutorial 4: Section properties
11/04/2017
Y. Xia
Page 1
First moment and centroid of area
Coordinates of the centroid:
Y
x=
x
x
dA
y
y
X
Sy
A
xdA
=
dA
Sx
y=
=
A
A
ydA
dA
A
S y = x A; S x = yA
Second moment of area (moment of inertia)
I x = dI x = y dA
Tutorial 5
Normal Stress and Shear Stress in Beams
Department of Civil &
Structural Engineering
11/04/2017
Y. Xia
Page 1
The wood beam has a rectangular cross section in
the proportion shown. Determine its required
dimension b if the allowable bending str
Assignment 3
1. Determine the coordinates of the centroid of the area shown in Q1
Q1
2. Determine the smallest allowable diameter of the shaft which is subjected to the
concentrated forces. The sleeve bearings at A and B support only vertical forces, and
1. The state of stress at a point on a body is shown on the element. Using the
transformation equations for plane stresses to
(1) Determine the stress components acting on the inclined plane AB.
(2) Determine the principal stresses and the maximum shear s
Example 6: determine the internal forces of
member 1-6, 2-6 and 2-3 in the simply truss below.
6 kN
3
6 kN
4
6 kN
2
3 kN
3 kN
1
30
2m
30
2m
5
6
8m
Department
Department
of Civilof&Civil &
StructuralEngineering
Engineering
Environmental
13/02/2017
CL Kwan
The wood beam has a rectangular cross section in the proportion shown. Determine its
required dimension b if the allowable bending stress is allow = 10 MPa.
Shear center
A cross section in the shape of a semi-circle has a constant thickness t, as shown in
Assignment 4
1. Determine the orientation of the principal centroidal axes and the magnitudes of the
principal centroidal moments of inertia for the Z-section shown in Q2. Height h = 200
mm, width b = 90 mm, and constant thickness t =15 mm.
2. The state o
Teaching Plan
Programme: Higher Diploma in Civil Engineering (Code: 31363)
Subject: CSE19100 Mechanics of Materials
Lecturer: CL Kwan and Y Xia
1. Subject Objectives
(1)
(2)
(3)
To enable students to acquire basic concepts of equilibrium, internal forces,
Section properties
1. Locate the centriod C of the cross-sectional area for the T-beam shown in Figure
Q1.
Figure Q1
Figure Q2
2. Determine Ix, Iy, and Ixy of the Z-section shown in Figure Q2.
3. Determine the moment of inertia of a circle of diameter d w