HW 2 Problem
A think skewed plate is subjected to a uniform distribution of stress along its sides as shown in Figure 1. Calculate
the stresses x , y , xy . Axes x and y are shown in Figure 2.
y
y
70 MPa
xy
150 MPa
30o
x
Figure 1
Figure 2

Torsion (cont)
Torsion(cont)
Chapter3
StressConcentrations(Section3.5)
Fig. 3.26 Coupling of
shafts using (a) bolted
fl
flange,
(b) slot
l t for
f
keyway.
The
Th derivation
d i ti off the
th torsion
t i formula,
f
l
max =
Tc
J
assumed a circular shaft w

Pure Bending
Chapter 4
Pure Bendingg
Pure Bending: Prismatic members
subjected to equal and opposite
couples
l acting
ti in
i the
th same
longitudinal plane
Fig. 4.2 (a) Free-body
Free body diagram of
the barbell pictured in the chapter
opening photo and

Stress-Strain Relationships II
1
Static Indeterminate Problems
Section 2.2
2
Static Indeterminate Problems
Structures for which internal forces and reactions
cannot be determined from statics alone are said
t be
to
b statically
t ti ll indeterminate.
i d

Stress-Strain Relationships I
Section 2.1
1
Stress & Strain
Suitability of a structure or machine may depend on the deformations in
the structure as well as the stresses induced under loading. Statics
analyses alone are not sufficient.
Considering struc

AME 324A
Mechanical Behavior of Engineering Materials
Fall 2016
Midterm Exam
September 26, 2016
Time: 10:00-10:50 am
Name _
Problem 1 (25 points)
Two solid cylindrical rods AB and BC are welded together at B and loaded as shown.
Determine the magnitude of

Torsion
Chapter 3
Torsion of Circular Shafts
Sections 3.1-3.2
3.1 3.2
2
Torsional Loads on Circular Shafts
Stresses and strains in members of
circular cross-section are subjected
to twisting couples or torques
Turbine exerts torque T on the shaft
Shaft

AME:324A Mechanical Behavior of Engineering Materials
(3 units), Fall 2016
Course Information
Class meeting times & location: M W F 10:00 am 10:50 am
am,
Chemistry, Rm 134
Instructor:
Prof. Olesya Zhupanska
Office: AME N625, Tel: (520) 626-2257
E-mail: oi

Stresses on an Oblique
q Plane under
Axial Loading
Section 1.3
1
Normal and Shear Stresses on an Oblique Plane
Problem Statement:
Find normal and shear stress on an oblique
plane under axial loading
Fig. 1.28 Oblique section through a two-force member.
(a

Moments of composite areas
First moments
Qx = ydA,
A
C t id
Centroid
x=
Qy
A
y=
,
Qy = xdA,
A
Qx
,
A
When th
Wh
the area possesses th
the axis
i off symmetry,
t th
the centroid
t id iis llocated
t d on th
thatt axis,
i as th
the
first moment about an axis

P113 The compound solid steel rod shown in
Figure P11314 is subjected to a tensile force P.
AssumeE= 29,000 ksi, d1 = 0.50 in., L1 =18 in., d;
= 0.815 in. L2 = 27 in., and P = 5.5 kips.
Determine:
(a) the elastic strain energy in rod ABC.
(1) the correspo

7.8 For the simply supported beam subjected to the
loading shown,
(a) Derive equations for the shear force V and the
bending moment M for any location in the beam.
(Place the origin at point A.)
(b) Plot the shear-force and bending-moment
diagrams for the

Stress-Strain Relationships III
1
Example 3 (previous lecture)
Problem Statement: A circle of diameter d = 9
in. is scribed on an unstressed aluminum plate
of thickness t = 3/4 in. Forces acting in the
plane of the plate later cause normal stresses
x = 12

Deflection of Beams
Chapter 9
Sections 9.1, 9.2, and 9.4
DeformationUnderTransverseLoading
Relationship between bending moment and
curvature for pure bending remains valid for
general transverse loadings.
1
M ( x)
EI
Cantilever beam subjected to concent

Elastic Stability
Elastic instability occurs in structural members subjected to large
compressive loads
Buckling is a failure due to elastic instability
Critical load, equilibrium method
spring is absent: any small lateral displacement will result in rota

Energy Methods
Chapter 11,
Section 11.1, 11.2, and 11.3
Strain Energy: Section 11.1
Strain energy in the elastic body is equal to the work done by the external forces to deform the
body
Calculate the work done by stresses x in a rectangular prism dx, dy,

Analysis and Design of
Beams for Bending
Chapter 5
Ch
Sections 5.1, 5.2, 5.3
Introduction: Section 5.1
Goal - Analysis and design of beams
Beams - structural members supporting loads at
various points along the member
Transverse loadings of beams are c

Shearing Stresses in Beams and
Thin-Walled Members
Chapter 6
Sections 6.1, 6.2
Introduction
Transverse loading applied to a beam
results in normal and shearing stresses in
transverse sections.
Distribution of normal and shearing
stresses satisfies
Fig.

AME 324A Mechanical Behavior of Engineering Materials, Fall 2016
Date: September 19, 2016
Quiz 2
Name _
1. Correct answer is in the red font
Question 1 (10 points)
(YES / NO) Engineering stress is the load divided by the actual cross-sectional area of the