ME108: Mechanical Behavior of Engineering Materials
Fall 2015 - Homework 2
Assigned: 09/11/2015, Due: 09/18/2015
Note: Homework may be submitted on plain, lined or graph paper (8.5 x 11 is preferred). Paper
must have clean edges (not be torn from spiral b
The American University in
Cairo
MENG 215
Mechanical Engineering Drawing
Mechanical Engineering
Department
2nd Lecture
The American University in
Cairo
Lecture Overview
Introduction
Types of joints
Permanent
Mechanical
Thread
Dimensioning
Production
As
The American University in
Cairo
MENG 215
Mechanical Engineering
Department
4th Lecture
The American University in
Cairo
Lecture Overview
Introduction
Shaft Gear-Bearing
Gears
Spur
Bevel
Worm
Spiral
Keys
The American University in
Cairo
Shafts in a gea
The American University In Cairo
HW1 in Derivatives
Problem 1. By the definition of the derivative, find the derivative for the
following functions and determine the domain of the derivative in each case
(i) f (x) =
1
(ii) f (x) =
x
2x + 3
(iii) f (x) =
Math 131
Final Exam
Summer 2011
Name, Last _ First_
UID: _
Show all work for full credit.
CELL PHONES OFF
Problem 1
Points
12
Score
2
12
3
6
4
25
5
10
6
10
7
8
8
12
9
10
Total
105
NO Graphing Calculators.
Good Luck!
Page 1 of 13
1. (12 points)
a. State th
AMERICAN UNIVERSITY IN CAIRO
School of Sciences & Engineering
Mathematics and Actuarial Science Department
Spring 2010
MATH-131
Solutions of the Final Exam
Question 1:
a) Find each of the following limits. Show all your work.
x 2 3x 2
i) lim
x 1 2 x 2 x 3
AMERICAN UNIVERSITY IN CAIRO
School of Sciences & Engineering
Mathematics and Actuarial Science Department
Spring 2010
Instructors: Prof. Salwa Ishak
Prof. Zeinab Ashour
Dr. Amani Elgammal
Dr. Wafik Lotfallah
Final Exam
MATH-131
Date: Friday, May 28th, 20
Introduction to Materials Science and Engineering Materials
Materials:
Are Substances used for the different applications surrounding us.
Materials Science:
Is primarily concerned w/ the search for basic knowledge about the internal
structure, properties
Bond type relation to
Physical & Mechanical Properties
What are the types of Bonding?
Primary & Secondary
Ionic
Covalent
Metallic
Wan Der Wall
Fluctuating bonds
Bond type relation to Physical &
Mechanical Properties
Force Interatomic Spacing
Energy-Intera
Lab 4: Fracture Toughness
Michael Rogers
Torfan Ghahramani Sanan
Xianxin Zhang
Tian Cheng
Date Submitted: 28 Sept. 2015
Date Performed: 21 Sept. 2015
Lab Section: 102, Group: 14
Lab GSI: Jingyi Wang
Abstract
This experiment investigated the different frac
S. Govindjee
CE 133/ME 180
UNIVERSITY OF CALIFORNIA BERKELEY Structural Engineering,
Department of Civil Engineering
Mechanics and Materials
Spring 2010
Professor: S. Govindjee
CE 133/ME 180
Final Exam
May 13, 2010
3 hours
Closed Book
2 Note Sheets
Calcul
CE C133 / ME C180
HW #5 Solutions
Problem 1
a) Let xij denote the i direction coordinate of node j and let A = 1 be the area of the
element. The shape functions for this element are
1
1
(x12 x23 x13 x22 ) + (x22 x23 )x + (x13 x12 )y = (2 x y)
2A
2
1
1
N
CE C133 / ME C180
HW #4 Solutions
Problem 1
a) The heat flux is given by
q = kT = k
kTd
(T0 + Td r/R)
er =
er
r
R
b) The total energy per time moving through the surface of the sphere S is
Z
Z 2 Z
q dS =
qr (R)R2 sin dd = 4kTd R 445 W
S
0
0
The negative
ME 180 / CE 133, Homework #2
Problem 1
In order to find the weak form, one multiplies the strong form by a test function w:
Z 1
Z 1
00
(w0 )0 w0 0 + wx dx = 0
w( + x) dx = 0
0
0
Because the boundaries at x = 0 and x = 1 are both essential, w(0) = w(1) =
Chapter 2
Torsion Stresses in Thin-Walled
Multi-Cell Box-Girders
2.1 Torsion of Uniform Thin-Walled Two-Cell Box-Girders
The thin-walled box section with uniform thickness t as shown in Fig. 2.1, is
subjected to a torsion moment T.
The shear flow and angl
Homework 3 Solutions
Section 3.8, p.218
CHAPTER
4
Higher Order Linear Equations
4.1
1. The differential equation is in standard form. Its coefficients, as well as the
function g(t) = t , are continuous everywhere. Hence solutions are valid on the
entire r