SOLUTIONS OF THE MID-TERM EXAM
_
AUTUMN SEMESTER 2011
SUBJECT NAME
:
MECHANICS OF SOLIDS
SUBJECT NO
:
48331
DAY/DATE
:
WEDNESDAY, 20th APRIL 2011
TIME ALLOWED :
2 Hours 30 Min
START/END TIME :
9:00 am 11:30 am
NOTES/INSTRUCTIONS TO CANDIDATES :
There are
ASSIGNMENT NO.1-SOLUTION
Assignment problem #1 (15 out of 100)
A solid circular post ABC supports a load P = 2500kN at the
1
top. A second load P2 is uniformly distributed around the
shelf at B. The diameters of the upper and lower parts of the
post are d
Lecture 61
Outline:
-Combined bending and axial load
-Composite sections under bending
1. Combined bending and axial load
Recall that under axial (normal) force the stress distribution is uniform across the cross-section, i.e.
N
Fig. 1 Beam under axial (n
EQUIVALENT FORCE-COUPLE SYSTEMS
Todays Objectives:
Students to learn to:
1) Determine the effect of moving a
force.
2) Find an equivalent force-couple
system for a system of forces and
couples.
In-Class Activities:
Pre Lecture quiz
Applications
Equival
Mechanics of Solids
Lecture 12
by
Dr Emre Erkmen
Lecturer, School of Civil and Environmental Engineering, The University of Technology Sydney
Office: 2.520
Phone:9514 9769
Email: emre.erkmen@uts.edu.au
Lecture hours: Tuesdays 11:00-14:00, Wednesdays 15:00
Lecture 121
Outline:
Energy methods
Conservation of Energy
Castiglianos theorem
Principle of Virtual work
1. Conservation of Energy
If a load is applied to an elastic body slowly, then the body deforms and the external work done by the
load on the associa
Mechanics of Solids
Lecture 11
by
Dr Emre Erkmen
Lecturer, School of Civil and Environmental Engineering, The University of Technology Sydney
Office: 2.520
Phone:9514 9769
Email: emre.erkmen@uts.edu.au
Lecture hours: Tuesdays 11:00-14:00, Wednesdays 15:00
Lecture 111
Outline:
-Shear Centre
-External Work and Strain Energy
1. Shear Centre
Shear center is the point through which when a force is applied it will cause the beam to bend but not
twist. The beam in Fig. 1 below twists and bends at the same time un
Mechanics of Solids
Lecture 10
by
Dr Emre Erkmen
Lecturer, School of Civil and Environmental Engineering, The University of Technology Sydney
Office: 2.520
Phone:9514 9769
Email: emre.erkmen@uts.edu.au
Lecture hours: Tuesdays 11:00-14:00, Wednesdays 15:00
Lecture 101
Outline:
-Inelastic bending
-Partially Plastic Section
-Fully Plastic Section
-Shape Factor
- Biaxial bending and axial load
1. Inelastic bending
The kinematic assumptions imposed in Lecture 4 are still valid which only concern the strain
dist
Mechanics of Solids
Lecture 9
by
Dr Emre Erkmen
Lecturer, School of Civil and Environmental Engineering, The University of Technology Sydney
Office: 2.520
Phone:9514 9769
Email: emre.erkmen@uts.edu.au
Lecture hours: Tuesdays 11:00-14:00, Wednesdays 15:00-
Lecture 91
Outline:
-Stress transformations
-Maximum and minimum stresses
-Mohrs circle
1. Stresses on inclined planes
When a body is in Equilibrium under acting forces, any piece cut from the body is also in equilibrium.
As shown in Fig.1. a cube cut fro
Mechanics of Solids
Review Lecture
by
Dr Emre Erkmen
Lecturer, School of Civil and Environmental Engineering, The University of Technology Sydney
Office: 2.520
Phone:9514 9769
Email: emre.erkmen@uts.edu.au
Lecture hours: Tuesdays 11:00-14:00, Wednesdays 1
Course introduction
Outline:
-How to get prepared for the exams
-Class rules according to UTS Legislation, Rules & Policies
-Subject outline
How to get prepared for the exams
In both mid-term and final exams at least 70% of the questions will be testing y
Mechanics of Solids
Lecture 8
by
Dr Emre Erkmen
Lecturer, School of Civil and Environmental Engineering, The University of Technology Sydney
Office: 2.520
Phone:9514 9769
Email: emre.erkmen@uts.edu.au
Lecture hours: Tuesdays 11:00-14:00, Wednesdays 15:00-
Lecture 81
Outline:
-Deflection of beams
-Buckling of slender columns
-Torsion of circular bars
1. Deflection of beams
Similar to axially loaded bars, beams deflect under vertical loading. Determining the beam deflections is
very important for design cons
ASSIGNMENT NO.6
Assignment problem #1 (25 out of 100)
Note that the distance between A and B is 0.5m and the distance
between B and C is 2m
Solution
The moment of inertia of the columns
40 32
4
I=
= 7.41 404 mm 4
64
(5pts)
Critical load for column BD
70
ASSIGNMENT NO.6
Assignment problem #1 (25 out of 100)
Note that the distance between A and B is 0.5m and the distance
between B and C is 2m
Assignment problem #2 (25 out of 100)
Assignment problem #3 (25 out of 100)
Assignment problem #4 (25 out of 100)