Centroid
Centroid or center of gravity is the point within an object from which the force
of gravity appears to act.
Centroid of 3D objects often (but not always) lies somewhere along the lines
of symmetry.
Centroidal axis
or Neutral axis
Centroid of Area
Spherical Pressure Vessels
Pressure vessels are closed structures containing liquids or gases under
pressure. Examples include tanks, pipes, pressurized cabins, etc.
Shell structures : When pressure vessels have walls that are thin in
comparison to their
Torsion
Torsion is the twisting of a straight bar when it is loaded
by twisting moments or torques that tend to produce
rotation about the longitudinal axes of the bar.
For instance, when we turn a screw driver to produce
torsion our hand applies torque T
Shear Forces and Bending Moments
Planar (2-D) Structures:
All loads act in the same plane and all deflections
occurs in the same plane (x-y plane)
Associated with the shear forces and bending
moments are normal stresses and shear stresses.
Types of Beams,
3D Stress Components
The most general state of stress at a point may
be represented by 6 components
Normal Stresses
x
y
z
Shear Stresses
From equilibrium principles:
xy = yx , xz = zx , zy = yz
xy
yz
xz
Normal stress () : the subscript identifies the f
Constitutive Equations (Linear Elasticity)
Equations that characterize the physical properties of the
material of a system are called constitutive equations. It is
possible to find the applied stresses knowing the strains and
viceversa.
x =
Poissons rati
MECHANICS OF MATERIALS II
(INGE 4012)
Pablo G. Caceres (B.Sc., Ph.D. U.K.)
GENERAL INFORMATION
Course Number
INGE 4012 (GEEG 4012)
Course Title
Mechanics of Materials II
Credit Hours
3
Instructor
Dr. Pablo G. Caceres
Office
Terrat T-205 Phone Ext. 3498
Of
COURSE POLICIES AND GENERAL INFORMATION
Course Number
Course Title
Credit Hours
Instructor
Office
Office Hours
e-mail
Web-site
INGE 4012 (GEEG 4012)
Mechanics of Materials II
3
Dr. Pablo G. Caceres
Terrat T-205. Phone Ext: 3498
Tu-Th from 9:15am to 12:15p
* 11.4. ECCENTRIC LOADING; THE SEGANT FORMULA
In this section we shall approach the problem of column buckling in a
different way, by observing that the load P applied to a column is never
perfectly centric. Denoting by e the ecentricity of the load, i.e.
LECTURE
Third Edition
ADVANCED TOPICS IN
MECHANICS-I
A. J. Clark School of Engineering Department of Civil and Environmental Engineering
28
by
Dr. Ibrahim A. Assakkaf
SPRING 2003
ENES 220 Mechanics of Materials
Department of Civil and Environmental Engin
Mechanical Eng. Dept.
Machine Design I (Lecture 6&7)
Third Class-All Branches
1. Maximum normal stresses: Principle stresses, [Ref.1]:
The combination of the applied normal and shear stresses that produce the
maximum normal stresses is called the max. & m
Bending Stress p375
Bending-Stress-2 Page 1
Bending Moment 6.
Bending Stress: Shaft Diameter
Friday, 13 May 2011
11:11 AM
A classic problem is to find the diameter of a shaft. The
problem is, we cant find the stress or even Ixx until we
know the diameter.
ENGINEERING COUNCIL
DIPLOMA LEVEL
MECHANICS OF SOLIDS D209
TUTORIAL 5 - COMPLEMENTARY SHEAR STRESS
You should judge your progress by completing the self assessment exercises.
On completion of this tutorial you should be able to do the following.
Define t
Definition
A shaft is the component of a mechanical
device that transmits rotational motion and
p
power.
Design of Shafts
E. Evans
MET 210W
Resultant Bending Moments in Shaft
Shaft from Last Time
B
A
69#
C
E
B
A
255.75#
C
D
D
197#
315#
Horizontal Plane
1