Ve216 spring 2016
Midterm 2 Review
Class
Qin Yulei
Zhao Yuhong
2016/4/13
Ve216 spring 2016
Chapter 3 & 6
Review On Fourier Series
Magnitude-Phase of FT
representation
Ideal Frequency-Selective Filters
Review on Fourier Series
1. Some Preliminary Knowledge
Vm335 Heat Transfer
Homework 3
Name:
Student ID:
Date Due: 10:00 a.m., Wednesday, June 3, 2015
Note: Before you work on this homework, you should read Section 3.3-3.6.2.
Find the problems below in the 6th edition of the textbook and solve them.
1. Problem
FORMULA SHEET
Conservation Laws
.
.
.
.
.
.
.
Control Volume Energy Balance: Ein Eout Egen Est ; Est mC p dT
dt
.
; Egen qV
.
Surface Energy Balance: Ein Eout 0
Conduction
T "
T
"
; qcond ,n k
; qcond qcond
A
n
x
T T T
Heat Flux Vector: q" q"x i q"y j q"
Vm335 Heat Transfer
Homework 9
Name:
Student ID:
Date Due: 10:00 a.m., Wednesday, July 23, 2014
Note: Before you work on this homework, you should read Section 12.5-12.8, 13.1
Find the problems below in the 6th edition of the textbook and solve them.
1. P
Vm335 Heat Transfer
Homework 10
Name:
Student ID:
This is the last homework and you dont have to submit it. But I highly recommend
you to work on this because this will be part of the final exam.
Solutions will be uploaded next week so that you can check
Vm335 Heat Transfer
Homework 5
Name:
Student ID:
Date Due: 10:00 a.m., Wednesday, June 18, 2014
Note: Before you work on this homework, you should read Section 5.4-5.8 & 5.10-5.11.
Find the problems below in the 6th edition of the textbook and solve them.
Vm335 Heat Transfer
Homework 1
Name:
Student ID:
Date Due: 10:00 a.m., Wednesday, May 20, 2015
Note: Before you work on this homework, you should read Section 1.1-1.7 & 2.1.
Find the problems below in the 6th edition of the textbook and solve them.
1. Pro
Vm335 Heat Transfer
Homework 7
Name:
Student ID:
Date Due: 10:00 a.m., Wednesday, July 9, 2014
Note: Before you work on this homework, you should read Section 8.1-8.5, 9.1-9.6, 10.110.4 & 10.6-10.9
Find the problems below in the 6th edition of the textboo
Mid-Term Exam Vm335
BASIC EQUATION SHEET
Conservation Laws
.
.
.
.
.
.
.
Control Volume Energy Balance: Ein Eout + Egen =
Est ; Est = mC p dT
dt
.
; Egen = qV
.
Surface Energy Balance: Ein Eout =
0
Conduction
T
T "
"
; qcond ,n = k
; qcond = qcond
A
n
x
Vm335 Heat Transfer
Homework 6
Name:
Student ID:
Date Due: 10:00 a.m., Wednesday, July 1, 2015
Note: Before you work on this homework, you should read Section 6.1-6.7.2 & 7.1-7.5.
Find the problems below in the 6th edition of the textbook and solve them.
Quiz 2
2015615
9:24
A rectangular metallic slab with thickness ta = 40 mm
is mounted on an electric insulating substrate with
thickness tb = 10 mm and thermal conductivity kb = 10
W/mK. The side surfaces of the slab and the substrate
are adiabatic such th
2015524
20:07
A square glass window of width W = 1m is composed of three layers, as shown in the figure. The
interior layer and outer layer are glass with thickness tg = 5 mm, while the intermediate layer is an air
gap with thickness ta = 5 mm. Heat trans
Quiz 4
Cold air flows axially over a hot cylindrical rod, causing it to cool in a transient fashion.
Convection on the ends of the rod and axial conduction are negligible, so that rod
temperature is a function only of time t and radial position r. You are
2
Greenhouse effect is a process related to the thermal radiative heat change between the sun, the
earth, and the atmosphere. Global warming, a recent warming of the Earth's surface and lower
atmosphere, is believed to be the result of a strengthening of
PROBLEM 3.3]
KNOWN: Temperature dependence of the thermal conductivity, k.
FIND: Heat ux and form oftemperature distribution for a plane wall.
SCHEMATIC:
_ k = kc, + 37' T a 1, O
75 t. H 7.; a=0
(rbif'rary a < O
T. collection)
" I 7i
x
lrx i O L
ASSUMPTIO
PROBLEM 4.3
KNOWN: Temperature distribution in the two-dimensional rectangular plate of Problem 4.2.
FIND: Expression for the heat rate per unit thickness from the lower surface (0 x 2, 0) and result
based on first five non-zero terms of the infinite seri
Vm 240: Introduction to Dynamics and Vibrations
Homework #2
Problem 1
Figure 1 depicts a disk rotating in a vertical plane at a constant angular speed,
= , around inertial point O. Mass m is free to slide in a radial slot on the
i2
disk and is connected
Vm 240: Introduction to Dynamics and Vibrations
Homework #3
Problem 1
The particle of mass m is sliding on a circular track under the effect of
gravity forces, as depicted in fig. 1. The particle is connected to fixed
i2
m
point A by means of a spring of
Vm 240: Introduction to Dynamics and Vibrations
Homework #6
Problem 1
A satellite is released from a launch vehicle, as depicted in
fig. 1. The satellite is composed of a rigid body and of two
solar panels of length L = 5 m. During release, force F (t) im
Vm 240
Introduction to Dynamics
and Vibrations
May 12, 2014
1
General information
Here is where to find more information about
The mandatory homework format, see section 7
The statement of academic honesty, see section 8
Lectures: Monday 16:00 to 17:40
UM-SJTU Joint Institute
Course: Mechanics of Materials - VM 382
Instructor: Roberto Dugnani
Phone: +86-21-3420-7210
Office: Room 203 North Law School Building
Email: roberto.dugnani@sjtu.edu.cn
Office Hours: Monday and Wednesday: 10:00-12:00 and by appoin
Vm 382: Mechanical Behavior of Materials
UM-SJTU-Joint Institute
Instructor: Roberto Dugnani
Spring 2014
Calendar
midterm
University of Michigan - Shanghai Jiao Tong University Joint Institute
Mechanical Testing
Objectives
Become familiar with the basic
Vm 382: Mechanical Behavior of Materials
UM-SJTU-Joint Institute
Instructor: Roberto Dugnani
Spring 2013
Homogeneous/Isotropic Approximations
Homogeneous material: a material that has the same properties at all points
within the solid.
Isotropic material:
Vm 382: Mechanical Behavior of Materials
UM-SJTU-Joint Institute
Instructor: Roberto Dugnani
Spring 2014
Stress-Strain Relationship
REVIEW
Objectives
Develop and employ 3 basic criteria for predicting
failure under multi-axial stresses
o Maximum normal s
Vm 382: Mechanical Behavior of Materials
UM-SJTU-Joint Institute
Instructor: Roberto Dugnani
Spring 2013
Stress-Strain Relationship
REVIEW
Objectives
Develop equations for transformation of axes and
apply them to determine the principal stresses.
Explor
Vm 382: Mechanical Behavior of Materials
UM-SJTU-Joint Institute
Instructor: Roberto Dugnani
Spring 2014
A Survey of Engineering Materials
Objectives
Become familiar with the four major classes of materials
used to resist mechanical loading: metals and a
Vm 382: Mechanical Behavior of Materials
UM-SJTU-Joint Institute
Instructor: Roberto Dugnani
Spring 2014
Fracture of Cracked Members
Objectives
Understand the effects of cracks on materials
Understand the meaning of fracture toughness, KIc
Use linear-e
Vm 382: Mechanical Behavior of Materials
UM-SJTU-Joint Institute
Instructor: Roberto Dugnani
Spring 2014
Features of Fracture
Objectives
Introducing students to the basic tools and principles
of fractography and Failure Analysis (FA)
The Science and Engi
Vm 382: Mechanical Behavior of Materials
UM-SJTU-Joint Institute
Instructor: Roberto Dugnani
Spring 2014
Imperfections in the Atomic and Ionic
Arrangements
Objectives
Learn the basic mechanisms of dislocation motions
Learn about ductility of metals base