AMERICAN UNIVERSITY OF BEIRUT
MECH 320-MECHANICS OF MATERIALS
Spring term 2011- quiz I (grade from 100)
Instructor: Dr Mohamad Nassereddine
Student Name:
ID:
-Problem 1. Strain (15 PTS). A belt and a pulley system in a VCR (Video Casette recorder) has
the
MECH 320Mechanics of Materials
AMERICAN UNIVERSITY OF BEIRUT
STUDENT NAME:
ID:
Spring semester 2009-2010
Instructors: Shehadeh M., and Nasser-Eddin M.
TIME ALLOWED: 2H Problem 1. (25pts).
The two-bar truss ABC shown in the gure belo
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1. The barAB is considered to be absolutely rigid and is horizontal before the load of 14D kN is applied,
(Fig. 1). The connection atA is a pin, and AB is supported by the steel rod EB (E=300 GPa) and the
copper rod CD (E=i 20 GPa). The length of CD is 1
Part I
Stress strain curve,
Creep, fatigue
Stress-Strain Testing
Typical tensile test
machine
extensometer
Typical tensile
specimen
specimen
Adapted from
Fig. 6.2,
Callister 7e.
gauge
length
Adapted from Fig. 6.3, Callister 7e. (Fig. 6.3 is taken from H
MECH 331
Chapter 2
Kinematics Fundamentals
All figures taken from Design of Machinery, 3rd ed. Robert Norton 2003
1
2.1 Degrees of Freedom (DOF) or
Mobility
DOF: Number of independent parameters
(measurements) needed to uniquely define
position of a syst
MECH 331
Chapter 3
Graphical Linkage Synthesis
All figures taken from Design of Machinery, 3rd ed. Robert Norton 2003
1
Introduction
Synthesis: to design or create a
mechanism to give a certain motion
Analysis: to determine the motion
characteristics of
MECH 331
Chapter 4
Position Analysis
All figures taken from Design of Machinery, 3rd ed. Robert Norton 2003
1
Coordinate Systems
Cartesian (Rx, Ry)
Polar (RA, q)
Converting between the two
R A Rx 2 R y 2
q arctan R y Rx
Rx RA cos q
R y RA sin q
Posit
MECH 331
Chapter 6
Velocity Analysis
All figures taken from Design of Machinery, 3rd ed. Robert Norton 2003
1
1
Velocity Analysis
Definitions
Linear Velocity
dR
V
R
dt
d
Angular Velocity
dt
Velocity of a point
i
RPA pe
VPA VP RPA
i
i
pe i pe i
2
L
Problem1: 25 points
The yoke and rod connection is subjected to a tensile force of 5 kN. Determine the average
normal stress in each rod and the average stress in the pin at A. Assuming that the rods are made
of steel having a yield stress of 200 MPa, wha
AMERICAN UNIVERSITY OF BEIRUT
QUIZ II IN MECH 320-SUMMER 2009 (1H15)
Formulas:
Problem 1-20 pts (5 pts for part 1)
Part II-solution
Problem 2-20 pts A single axial load of P=60 kN is attached at the end C of the brass rod ABC.
Knowing that E=105 Gpa, dete
Exam II-solution
4 problems
SOLUTION:
Based on the cross section
geometry, calculate the location of
the section centroid and moment
of inertia.
yA
2
Y=
A
)
Apply the elastic flexural formula
to find the maximum tensile and
compressive stresses.
m =
A ca
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Determine the reactions at A and B for the steel
bar and loading shown, assuming a close fit at
both supports before the loads are applied.
SOLUTION:
Consider the reaction at B as redun
Problem.1
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SOLUTION:
Treating the entire beam as a rigid
body, determine the reaction forces
For the timber beam and loading
shown, draw the shear and bendmoment diagrams and determine t
4312]. "the 30mni-diameter shaIt is subjected to the
vertical and horizontal loadings of two pulleys as shown. It
is supported on twojournal bearings at A and B which offer
no resistance to axial loading. Furthermore. the coupling to
the motor at C can be
AMERICAN UNIVERSITY OF BEIRUT
MECHANICS OF MATERIALS (MECH320)
QUIZ 2-(Spring 2011)-2H
STUDENT NAME:
ID:
Problem 1. (20 pts) The preliminary design of a large shaft connecting a motor to a generator
calls for the use of a hollow shaft with inner and outer
AMERICAN UNIVERSITY OF BEIRUT
Mechanical Engineering Department
MECH 320
Quiz1 March 12th, 2009
Time Allowed: 15 minutes
A stepped steel bar has a circular cross section and subjected to an axial loading P. The bar and
its stress-strain diagram are shown