University of the Philippines Los Baos
College of Engineering and Agro-industrial Technology
Department of Engineering Science
ENSC 21 3rd Long Exam Problem Set
Higher Order OLDE with Constant Coefficients
1. + = ( 3 ) cot
2. ( 2 1) = 2 sin( )
3. ( 2 3 +
Second Semester AY 2016-2017
Strength of Materials
The study of the internal effects of
applied forces on a body.
The body needs to be initially in
equilibrium condition before the
internal effects are considered,
hence a strong background in
Statics of
CHAPTER 3
TORSION
Strength of Materials
ENSC 13
Notes are based on Mechanics of Materials by RC Hibbeler, 9th Edition
and Strength of Materials by A. Pytel and F. L. Singer, 4th Edition
CHAPTER OBJECTIVES
1. To discuss the effects of applying a torsional
STRAIN
DEFORMATION,
Change in size or shape
Since the body is not assumed to be rigid, we now
consider the deformations
It is important in design that a material or structure
is not deformed beyond set limits.
Source: Callister, 2007
STRAIN
Unit defo
Problem Set: Strain and Thermal Stresses
1. The rectangular element is deformed as shown. Determine the
normal strains in the diagonals and the shear strains in the
upper and lower right hand corners. (Source: Pytel and
Kiusalaas, 2011).
2. A rectangular
DEPARTMENT OF ENGINEERING SCIENCE
College of Engineering and Agro-Industrial Technology
University of the Philippines Los Baos
ENSC 13 Strength of Materials
2ND Semester AY 2016-2017
PROBLEM SET 1 (STRESSES)
1.
The forged steel clamp exerts a force of N o
1. A circular aluminum tube subjected to torques T has an outer radius equal to 2 times the inner
radius . (a) If the maximum shear strain in the tube is measured as
, what is the
shear strain at the inner surface? (b) If the maximum allowable rate of twi
Two approaches:
1. Describing the detailed flow pattern at
every point in the field
2. Control Volume method
Working with finite region, making a
balance of flow in and flow out; and
determining gross flow effects
Systems versus Control Volumes
System arb
HYDROSTATIC
FORCES
fluid is at rest or moving in such a
way that there is no relative motion
between adjacent particles
no shearing stresses in the fluid
concerns with the variation of
pressure throughout a fluid and the
effect of pressure on submerged
Buoyancy, Flotation,
and Stability
Buoyant force the resultant force
acting on a body that is completely
submerged or floating in a fluid
Archimedes principle
the
buoyant force has a magnitude
equal to the weight of the fluid
displaced by the body and is
FLUID PRESSURE
Concerns to Explore:
1. Pressure at a Point
2. Variation of Pressure from Point to
Point
3. Pressure Measurement
Pascals law (Blaise Pascal)
The pressure at a point in a
fluid at rest, or in motion, is
independent of direction as long
as th
DEPARTMENT OF ENGINEERING SCIENCE
COLLEGE OF ENGINEERING AND AGRO-INDUSTRIAL TECHNOLOGY
UNIVERSITY OF THE PHILIPPINES LOS BAOS
ENSC 16 Fluid Mechanics
Problem Set 3
(Sources: Munson et al. and White)
PROBLEM 1
Air at 30 C and 100 kPa flows through a 15-cm
DEPARTMENT OF ENGINEERING SCIENCE
COLLEGE OF ENGINEERING AND AGRO-INDUSTRIAL TECHNOLOGY
UNIVERSITY OF THE PHILIPPINES LOS BAOS
ENSC 16 Fluid Mechanics
Problem Set 2
A. Hydrostatic Forces in Layered Fluids
PROBLEM 1
Determine the horizontal force exerted b
DIMENSIONAL ANALYSIS
AND SIMILARITY
Dimensional analysis
method of reducing the number
and complexity of experimental
variables which affect a given
phenomenon, by using a sort of
compacting technique
Benefits of Dimensional Analysis:
1.Enormous savings i
DEPARTMENT OF ENGINEERING SCIENCE
COLLEGE OF ENGINEERING AND AGRO-INDUSTRIAL TECHNOLOGY
UNIVERSITY OF THE PHILIPPINES LOS BAOS
ENSC 16 Fluid Mechanics
Problem Set 1
PROBLEM 1
A thin plate is separated from two fixed plates by very
viscous liquids with vis
FLUMECH
ASSIGNMENT 1 on Fluid Flow
I.
(a) The hypodermic needle contains some sort of serum (SG = 1.02).
If the plunger is pushed steadily at 0.8 in./s, what is the exit velocity
V2 in feet per second? Assume no leakage past the plunger. (b)
Assume that t
FLUMECH ASSIGNMENT
DIMENSIONAL ANALYSIS AND SIMILARITY
1)
Convection heat-transfer data are often reported as a heat-transfer coefficient h,
defined by Q = h A T
where Q = heat flow, J/s
A = surface area, m2
T = temperature difference, K
The dimensionless
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