3.ll The torques shown are exerted on pulleys A, B. and e. Knowing that both shafts are
solid, detennine the maximum shearing stress in (a) shaft AB, (b) shaft BC.
3.17 Shaft AB is made of a steel with an allowable shearing stress of 90 MPa and shaft
BC i

Problem 10.4
f
10.4 Two rigid bars AC and BC are connected as shown to a spring of constant k.
Knowing that the spring can act in either tension or compression, determine the
critical load Pcr for the system.
t:(~
S b~ +~.e de.r;ec.4iu"l of \':>0\ c.
\
Le

7.1 throagla 7.4 For the given state of stress, determine the norm8I and shearing
stresses exerted on the oblique face of the shaded triangular element shown. Use a
method of analysis based on the equilibrium of that element, as was done in the
derivation

Chapter 4
Pure Bending
Ch 2 Axial Loading
Ch 3 Torsion
Ch 4 Bending
- for the designing of beams and girders
4.1 Introduction
A. Eccentric Loading
B. Pure Bending
4.2 Symmetric Member in Pure Bending
M = Bending Moment
Sign Conventions for M:
- concave u

Chapter 3 Torsion
Introduction
- Analyzing the stresses and strains in machine
parts which are subjected to torque T
Circular
- Cross-section
Non-circular
Irregular shapes
- Material
(1) Elastic
(2) Elasto-plastic
- Shaft
(1) Solid
(2) Hollow
3.1 Introduc

Chapter 2
Stress and Strain
- Axial Loading
Statics deals with undeformable bodies (Rigid bodies)
Mechanics of Materials deals with deformable bodies
- Need to know the deformation of a boy under
various stress/strain state
- Allowing us to computer force

I
EMA 3702 Mechanics of Materials Second Hour Exam
Date:
10/26/05
Name:
PI#:
l.(a)Write the equations for the internal shear force Vy and the internal bending
moments Mz as a function of x for the entire beam shown in figure below. And also
draw the shear

1.7 Knowing that the central portion of the link BD has a uniform cross-sectional area of
800 mm2, determine the magnitude of the load P for which the normal stress in that
portion of BD is 50 MPa.
1.10 Two horizontal 5-kip forces are applied to pin B of

Problem 11.12
11.12 Rods AB and BC are made of a steel for which the yield strength is qy
= 300 MPa and the modulus of elasticity is E
= 200
GPa.
Determine the maximum
strain energy that can be acquired by the assembly without -causing permanent
deformati

Problem 3.9
3.9 Knowing that each of the shafts AB, BC, and CD consist of solid circular rods,
determine (~ the shaft in which the maximum shearing stress occurs. (b) the magnitude
of that stress.
T
ShA.-tt AS ':
c. ,. tel
800III' in,
~
'(,
:IT
-=
J
7rc.S

Problem 6.9 through 6.12 For the beam and loading shown, consider section nn and
determine (a) the largest shearing stress in that section, (b) the shearing stress at point
a.
V T 45 kips
I = ZAJI+ 23
: 25.02 -t 2/.45é
286.73é m
= (6.003013) + (o.375)(4

MECHANICS OF MATERIALS - EXAM 1
Name:
PID: #
.
I) The Concrete pier in the figure is loaded at the top with a uniformly distributed load of
20 kN/m2.Investigate the state of stress at a level of I m above the base. Concrete weighs
approximately 25 kN/m3.(

Problem 5-9 5.9 and 5.10 Draw the shear and bendingmoment diagrams for the beamand
loading shown, and detennine the maximum absolute value (a) of the sheen, (b) of the
bending moment.
3 Idpsi'ft'
R eM+lonS
97%: 0 -6A +(35(I87-(8)(303=0
= e was amps;
5°?

EMA 3702 Mechanics and Materials Science
(Fall 2006)
Instructor:
Office:
Class Hours:
Office Hours:
Dr. K. Wu
Phone: (305) 348-3146
EC 3444
E-mail: wu@ fiu.edu
T, TH, F: 5:40 - 6:55 pm
Classroom: EC 1107
M, W: 8:30 -10 am (Other times by appointment)
Srin

4.5 A beam of the cross section shown is extruded from aluminum alloy for which y=
250 MPa and u= 450 MPa. Using a factor of safety of 3.00, determine the largest couple
that can be applied to the beam when it is bent about the z axis.
4.10 Two equal and

EMA 3702 Mechanics of Materials First Hour Exam
Date: seems
Name:
SS#:
1. Thejeint is subjected tc the axial member farce cf 6 hip. Determine the average normal stress acting
on sections AB and BC. Assume the member is smooth and is |.5 in thick. {313%}
<

2.10 A block of 250-mm length and 50x40 mm cross section is to support a centric
compressive load P. The material to be used is a bronze for which E =95 GPa. Determine
the largest load which can be applied, knowing that the normal stress must not exceed 8

5.5 For the beam and loading shown, (0) draw the shear and bending-moment
Problem 5.5
diagrams,
(b) determine
the equations
of the shear and bending-moment
curves.
w
B
A
CQ.PCcJP~+e
f"eo.c,+iol-"S ~kV'
J\~+~,'buted
JoruJ by C411te'UIVt:A."~",t
c:o ce~t f'

Problem 9.3
9.1 through 9.4 For the loading shown, determine (a) the equation of the elastic
curve for the cantilever beam AB, (b) the deflection at the free end, (c) the slope at
the free end.
Wo
YI
A
I
x
LJ.se ~Neeo.boi t
+.:>L MJ" -:.0:
[)(":L.) j-=-O]

" Problem 4.13
J
I
~I.
m.
.O.3in.
1
z
03'
.
4.13 Knowing that a beam of the cross section shown is bent about a horizontal axis
and that the bending moment is 8 kip . in., determine the total force acting on the
shaded portion of the beam.
J
The. s+V'ess

Chapter 1
Introduction
Concept of Stress
Road Map:
Statics Mechanics of Materials
Elasticity Plasticity
Fracture Mechanics
Fatigue
Creep
Mechanics of Materials is important foundation for:
1. Machine Design I & II
2. Advanced Mechanics Courses
3. Elastic