Chapter 3 Analysis of Pin Jointed Frames
A pin jointed frame (PJF) consists of rod members sustaining only uniform uniaxial stress.
They are joined together by frictionless pin joints. Since the entire truss is in equilibrium, each
pin must be in equilibr
Semester 2, 2014
page 1 of 1
THE UNIVERSITY OF SYDNEY
AMME2301MECHANICS OF SOLIDS 1
/AMME 5301 FOUNDATIONS OF MECHANICS OF SOLIDS 1
Duration: 40 minutes
Reading time: 5 minutes
SID 

FIRST NAME  

LAST NAME  

The assembly has the diameters and m
Assignment Guidelines
(1) No late submission of assignment problems will be accepted unless previously arranged with
the lecturer.
(2) Each assignment question will be marked as follows:
0 for totally incorrect solution
19 for partially incorrect/correct
Post D is made of Red Brass C83400 and has a cross sectional area of 2500 mm2. Bar C is made of A36 steel and has a crosssectional area of 600 mm2. Member AB and the bearing block on post D are
to be considered rigid. The clearance between Post D and me
AMME2301/AMME5301
Mechanics of Solids: Introduction
Lecturer: Dr Li Chang
Room s503, Building J07
Tel: 93515572
email: li.chang@sydney.edu.au
General Information: AMME 2301/AMME 5301
Websites
http:/web.aeromech.usyd.edu.au/AMME2301/Documents/mos/
Assess
Chapter 9 Deflection of Beams and Shafts
Displacement of Beams
Deflection of Beams
P
P
Curvature, R ()
O
Deflection, v
v
R
x
v
Slope,
Sign Convention
P
Distributed load
a
L
v
Internal shear force & internal moment
v
+
+R
x
+
Curvature of beams
P
EI: Fle
AMME2301/AMME5301
Axial Load
Lecturer: Dr Li Chang
Room s503, Building J07
Tel: 93515572
email: li.chang@sydney.edu.au
Stress & Strain: Hookes Law
= E
Axial Load Stress: Stress Concentration & Saint Venants Principle
a
F
F
a
Stressconcentration fa
AMME2301/AMME5301
Mohrs Circle Plane Stress
Lecturer: Dr Li Chang
Room s503, Building J07
Tel: 93515572
email: li.chang@sydney.edu.au
Mohrs Circle Plane Stress
sn
s
y
nn
n
[
]2 [
]2
[ ]2 [
]2
x
[c, 0]
sn
nn
Mohrs Circle Plane Stress Transformation
[
Assignment Guidelines
(1) No late submission of assignment problems will be accepted unless previously arranged with
the lecturer.
(2) Each assignment question will be marked as follows:
0 for totally incorrect solution
19 for partially incorrect/correct
Assignment Guidelines
(1) No late submission of assignment problems will be accepted unless previously arranged with
the lecturer.
(2) Each assignment question will be marked as follows:
0 for totally incorrect solution
19 for partially incorrect/correct
Assignment Guidelines
(1) No late submission of assignment problems will be accepted unless previously arranged with
the lecturer.
(2) Each assignment question will be marked as follows:
0 for totally incorrect solution
19 for partially incorrect/correct
AMME2301/AMME5301
Stress
Lecturer: Dr Li Chang
Room s503, Building J07
Tel: 93515572
email: li.chang@sydney.edu.au
Stress
Stress: the intensity of the internal force on a specific plane passing through a point
The material is continuous (no voids) a
Assignment Guidelines
(1) No late submission of assignment problems will be accepted unless previously arranged with
the lecturer.
(2) Each assignment question will be marked as follows:
0 for totally incorrect solution
19 for partially incorrect/correct
Chapter 9 Stress transformation
Plane Stress
State of Stresses Caused by Combined Loads
Example: The 25 mm diameter rod is subjected to the loads shown. Determine the principal
stresses and the maximum shear stress at point B (week 9)
Fx= 375N
y
Step 1: I
Chapter 12 Deflection of Beams and Shafts
Deflection of Beams
Double Integration Method
Slope,
The equation can be integrated ONCE to give an equation
for the slope ()
v
P
x
a
L
Deflection, v
The equation can be integrated TWICE to give an equation for t
Chapter 12 Deflection of Beams and Shafts
Method of Superposition
Method of Superposition
w
P
1. The loading can be separated into three parts:
M
A
2. For each part, the displacement and slope at A can be
found using the table in Appendix C (pp. 808809)
Chapter 12 Deflection of Beams and Shafts
Statically Indeterminate Beams
Statically Indeterminate Beams
Equilibrium conditions:
C
P
FA_y
B
Compatibility Conditions
FA_x
L/2
L/2
Superposition Method
P
FB_y
C
B
(Example 12.22 p.644)
FB_y
A
MA
Statically Ind
The Beams Maximum Deflection  Double Integration Method
Step 1 Moment functions
P
Step 2 Double integration for the elastic equation
2.1 Integrate once
3/2L
2.2 Integrate twice
2.3 Integration constants (Boundary Conditions)
M
At x=3/2L, =0
At x=3/2L, v=
Chapter 12 Deflection of Beams and Shafts
Method of Superposition
Double Integration Method
Slope,
Deflection, v
Step 1 Moment functions
A
P
C
B
Step 2 Double integration for the elastic equation
Integrate once
v
Integrate twice
Boundary Conditions
Step
Double Integration Method
Step 1 Moment functions
P
Step 2 Double integration for the elastic equation
2.1 Integrate once
3/2L
2.2 Integrate twice
2.3 Integration constants (Boundary Conditions)
M
At x=3/2L, =0
At x=3/2L, v=0
2.4 The elastic equation
Step
Mechanics of Solids
Closed book examination
Formulas Sheet will be provided
Stress & Strain
Mechanics of materials: studies the internal effects of stress and strain in a solid body that
subjects to external loadings.
Stress: the intensity of the intern
Assignment Guidelines
(1) No late submission of assignment problems will be accepted unless previously arranged with
the lecturer.
(2) Each assignment question will be marked as follows:
0 for totally incorrect solution
19 for partially incorrect/correct
Assignment Guidelines
(1) No late submission of assignment problems will be accepted unless previously arranged with
the lecturer.
(2) Each assignment question will be marked as follows:
0 for totally incorrect solution
19 for partially incorrect/correct
AMME2301/AMME5301
Energy Methods Castiglianos
Second Theorem
Lecturer: Dr Li Chang
Room s503, Building J07
Tel: 93515572
email: li.chang@sydney.edu.au
Energy Methods Strain Energy
y
Internal Work Strain Energy
Total Strain Energy inside deformable b
MECH2400 9400:
Mechanical Design 1
Lectorial Week 2:
Part 1: Family Trees
Draw a Family Tree of the Silver Block group of drawings and specifications found in the Blackboard Week 2, Readings
Paul Briozzo
1/08/2016
MECH2400 9400:
Mechanical Design 1
Lector
MECH2400 9400: Mechanical Design 1
Tutorial Week 2: Max and Min Limits of Size:
The component with the hole (shown sectioned) is to be assembled onto the component with the pin
Determine;
1. The maximum and minimum distance X.
2. The maximum and minimum d
MECH2400 9400: Mechanical Design 1
Tutorial Week 2 Detail Drawings
To follow on from last Thursdays Lectorial, draw the Top View (TV), Front View (FV) and Right Side View from the isometric view given. Use the black dot as a starting point for the Top Vie
Assignment 1 of Mechanics of Solid
Jinyuan Li
Master of Professional Engineering( Biomedical) Semester 2,
2016
Student number: 460451130
The assignment is due by midnight, i.e. 11:59pm, 06 August 2016.