Thick Walled Cylinders
Consider a thick walled cylinder having an inner radius = a; outer radius = b. Let the cylinder is
subjected to internal pressure pi and outer pressure po. For the purpose of analysis, thick walled
cylinder can be considered to cons
AREAMOMENTMETHOD
AREAMOMENT METHOD
The area-moment method of determining the deflection at any specified point
along a beam is a semi graphical method utilizing the relations between
successive derivatives of the deflection y and the moment diagram. For
p
STRAIN ENERGY Impact Loading
Consider a rod BC of length L and uniform cross-sectional area A, which is attached at B to a
fixed support, and subjected at C to a slowly increasing axial load P. By by plotting magnitude P
of the load against the deformatio
WORK AND ENERGY UNDER SEVERAL LOADS
Consider an elastic beam AB subjected to two concentrated loads P1 and P2. The strain energy of
the beam is equal to the work of P1 and P2 as they are slowly applied to the beam at C1 and C2,
respectively. However, in o
Statically Indeterminate Beams and Shafts
A member of any type (Beam or Shaft) is classified as statically
indeterminate if the number of unknown reactions exceeds the
available number of equilibrium equations.
The additional support reactions on the be
Theories of Failure
Strength of a material or failure of the material is deduced
generally from uni-axial tests from which stress strain
characteristics of the material are obtained.
The typical stress-strain curves for ductile and brittle materials
are s
STRAIN
In engineering the deformation of a body is specified using the concept of normal
strain and shear strain whenever a force is applied to a body, it will tend to change the
bodys shape and size. These changes are referred as Deformation.
Deformation
FACULTY OF ENGINEERING AND APPLIED SCIENCE
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
ENGI 5931
Problem set # 1
-1.
The bracket is subjected the force of 3 kip. Determine the principal stress and maximum iplane shear stress at points A and B on the cross section
ELASTICBUCKLING
So far we have discussed:
(1) the strength of the structure, i.e., its ability to support a specified load without
experiencing excessive stress;
(2) the ability of the structure to support a specified load without undergoing
unacceptable
DISCONTINUOUS/SINGULARITYFUNCTIONSFORBEAMDEFLECTIONS
Th i
Theintegrationmethodbecomesextremelytediousandtimeconsuming
i
h db
l
di
d i
i
whenseveralintervalsandseveralsetsofmatchingconditionsare
required.
The labor involved in solving problems of this ty
Equilibrium of Deformable Body
Review Static Equilibrium
If a body is in static equilibrium under the action applied
external forces, the Newtons Second Law provides us
six scalar equations of equilibrium
F 0; F 0; Fz 0
M 0; M 0; M 0
x
y
x
y
z
The sum o