8/16/12
Stress and Deformations for Various Types of Loads
Combined Loadings
M
z
= 0 = M y x dA
y
c
M x = 0 = T x dA
c
L
x = m
=
= E
= G
My
I
VQ
=
Ib
b =
Calculation of Internal Forces
Fx = 0 = P dA
=
L
= E
Tr
J
TL
=
JG
P
A
PL
=
AE
= G
a = E
=
a =
In
COMBINING OF RENEWABLE ENERGY PLANTS
TO IMPROVE ENERGY PRODUCTION STABILITY
by
Adam C. Broders
A Thesis
Submitted to the Faculty
of the
WORCESTER POLYTECHNIC INSTITUTE
in partial fulfillment of the requirements for the
Degree of Master of Science
in
Elect
37
Chapter 5
Load Data Generation
In order to characterize a simplified load a few assumptions were made. One of the most
prevalent assumptions was that the load would be modeled after the existing energy usage
in Worcester County, Massachusetts, USA base
Ma. Brida Lea D. Diola
Environment and Energy Engineering Group
UP Institute of Civil Engineering
Discussion Topics
Recall: Simple and Compound Interest
Economic Equivalence and Principles
Interest formulas for
Single Cash Flows
Equal Payment Seri
Introduction to
Engineering Economy
CE 22 Lecture 1
Ma. Brida Lea Diola
Institute of Civil Engineering
College of Engineering
University of the Philippines Diliman
Recall: General Objective of CE 22
to apply economic analysis as part of
engineering decis
MULTIPLE CHOICE
1.
Which of the following statements is incorrect?
a. The equations of equilibrium must be satisfied in order to prevent a body from translating with accelerated motion and from
rotating.
b. When a prismatic bar is made from homogeneous an
MECHANICS OF
DEFORMABLE BODIES
ES 13 LECTURE 1
Introduction
Mechanics
involves the analysis of stresses and deformations of
any load-bearing member
50kN
kN
200
kN
50
50
kN
50
50
kN
kN
3 Considerations in
design/analysis
STRENGTH
SERVICEABILITY
ECONOMIC
ES 13 WFQ/WFV
Problem Set 1b First Exam
1. Bar ABCD is subjected to the following loads as shown. Determine the maximum value of force P
that can be applied to the bar if allow used for design is based on ultimate strength and allow (of bar
ABCD) = 1.2 mm
University of the Philippines Diliman
Institute of Civil Engineering
ES 13: MECHANICS OF MATERIALS
Course Syllabus
First Semester, A.Y. 2016-2017
Course Description: Stresses and strains considering axial, torsional, flexural, and combined loading;
analys
MECHANICS OF
DEFORMABLE BODIES
ES 13 LECTURE 2
Meeting
No.
Topic
Lecture Objectives
(After the Lecture, the student must be able to do the following)
Suggested
Problems
Class Policies
1
Review of Statics
Equations of Equilibrium & Shear and
Bending Moment
ES 13 Homework (Flexure)
Consider the beam shown. The maximum allowable bending stress in
tension is 40 MPa and the maximum allowable bending stress in
compression is 70 MPa. The maximum allowable shear stress in the
cross section is 5 MPa.
1. Locate the
MECHANICS OF
DEFORMABLE BODIES
ES 13 LECTURE 3
Meeting
No.
Topic
Lecture Objectives
(After the Lecture, the student must be able to do the following)
Suggested
Problems
Class Policies
1
Review of Statics
Equations of Equilibrium & Shear and
Bending Moment
MECHANICS OF
DEFORMABLE BODIES
ES 13 LECTURE 6
Stresses and Deformations
Arising from Torsional
Loading
ES 13 LECTURE 6
Torsional Loading
Torque is a moment that acts along the longitudinal axis of the
member
-induces TWISTING of the member
CIRCULAR SHAFT
Problem Set 2
1. A hollow rod (G = 80 GPa) is bent as shown
to support a homogeneous plate weighing 300
N. If the rod has an outer diameter of 50 mm,
an inner diameter of 40 mm and a linear mass
density of 9 kg/m, determine:
a) the maximum shear stres
QUIZ!
TRUE OR FALSE
Consider a simply supported beam of rectangular cross
section with uniformly distributed load over its entire span.
1. Shear stress is maximum at the neutral axis at its
midspan.
2. Shear stress is minimum at the top fiber at the
suppo
Republic of the Philippines
Department of Education
Region 02
Division of Isabela
Benito Soliven District
VILLALUZ INTEGRATED SCHOOL
Benito Soliven
UNANG MARKAHANG PAGSUSULIT SA GMRC VI
Pangalan:_
Petsa: _
I.
Panuto: Basahin ang mga sumusunod na sitwasyon
Republic of the Philippines
Department of Education
Region IV-A CALABARZON
DIVISION OF BATANGAS
Name _
Grade and Section _
Date: _
Score: _
FIRST PERIODICAL TEST SCIENCE & HEALTH VI
Directions: Read each item carefully. Encircle the letter of the correct
CIRCUMSCRIBING A CIRCLE AROUND
TRIANGLE ABC
Given: Triangle ABC
A
B
C
CIRCUMSCRIBING A CIRCLE AROUND
TRIANGLE ABC
1. Draw a perpendicular bisector (Line DE) to
side AB.
A
D
B
E
C
CIRCUMSCRIBING A CIRCLE AROUND
TRIANGLE ABC
2. Draw a perpendicular bisecto
Republic of the Philippines
Department of Education
Region IV-CALABARZON
Division of Batangas
Balete District
Balete
S.Y. 2012-2013
Third Periodical Test in Science and Health V
Name: _
Date: _
Direction: Read carefully. Encircle the letter of the correct
NAT REVIEWER IN ENGLISH 6
Name_
Part I Reading
I. Choose the affix, which if added to the underlined word, completes the meaning of the sentence.
_1. Dad told me a story, the he _told the same story to my younger sister.
a. re
b. dis
c. mis
d. pre
_2. I l
Geometric Construction 2
Circles
Arcs
Polygon
DETERMINING THE CENTER
Arc
Circle
DETERMINING THE CENTER OF AN
ARC/CIRCLE
Given: an arc
DETERMINING THE CENTER OF AN ARC
1. Draw an arbitrary line with endpoints on the
circumference of the circle. Label the
ES 1: ENGINEERING DRAWING
Geometric Construction 1
Lines
Angles
LINES
Lines
- The shortest distance
between two points
A
- A set of points
organized that has
length and direction,
but no thickness
B
D
F
C
E
Transferring a Given Length
of a Line
Given: Li
Department of Community and Environmental Resource Planning
College of Human Ecology
University of the Philippines Los Baos
CERP 21 ENVIRONMENTAL HEALTH
First Semester, AY 2016-2017
Course Description
Nature of environmental hazards including pollution an
ES 1
ENGINEERING
DRAWING
DIMENSIONING
DIMENSIONING
The process of measuring the cubic space
that a package or object occupies.
Use:
Production
and Industry
Accessibility,
work
Accuracy, and Precision in the line of
LINES USED IN DIMENSIONING
Dimension L
Triangles
Squares and Rectangles
Polygons
MEMBERS: CORTEZ, DEFENSOR, EBRON, NUADA,
GEOMETRIC
BY GROUP TWO
CONSTRUCTION
2
VIEWS
Circles/Arcs
Determining the Center
Drawing a Circle through 3
Points
Rectifying an Arc Length
Setting off a Given Length
al
Lecture 4.2
ES 1 Supplementary
Welcome to the world of 3D
Engineering Science 1!
Some Definitions
Point
Line (line segment)
A set of points bounded by two end points such
that it is arranged in a straight manner
Plane
An single element in space
A set of l
Why is ES 1 important in
Engineering?
c
n
i
o
r
i
t
t
e c
u
m
r
o
t
e s
G on
C
1
d
n
a
s
e s
n
e
Li gl
an
LINES
The shortest distance between two points.
A set of points organized that have length and
direction, but no thickness.
E
A
C
B
G
D
F
Transferr
Isometric Drawing
Axonometric Projection
Parallel & normal
to picture plane
B
A
Line
of
sight
D
A
C
B
D
C
Axonometric Projection
Type of axonometric drawing
Axonometric axis
a
1. Isometric
A
b
All angles are equal.
c
B
B
Axonometric axis
a
A
C
D
D
2. Dime
SKEW LINES
Common Perpendiculars
Shortest Distance
Shortest Horizontal Distance
1
Definition
Skew lines are two lines
in space that do not
intersect but are not
parallel.
2
Common Perpendiculars (CP)
Project points
Find true length (TL)
Project ARP perpen