E MCH 315
Mechanical Response of Engineering Materials
Lecture 7
3-
D Stress Transforma:ons
Chapter 2
FALL 2013: EMCH 315
2.7 3-Dimensional Stress Transformations
yy
yx
xy
xx
If we were to take a 3-D
free body diagram and
ap

In-
Class Problem
Compare the maximum allowable pressure predicted by the MSST and DET.
Step 1 contd. Determine the normal and shear stresses
hoop = Prm/t = 10P
axial = Prm/2t = 5P
Step 2. Determine the principal stresses
I =
II =
FALL 2013: EMCH

EMCH 315 Supplemental
Informa6on
Plas6city in crystalline solids:
Movement of defects and Fracture in
Tension
Defects exist in crystalline solids.
Crystal structures
Crystal grain structure
grain boundary is a surface

E MCH 315:
Mechanical Response of Engineering Materials
Lecture 02:
Fundamentals of Tensile & Compressive
Responses II
FALL 2013: EMCH 315
Lecture02 : Slide 1
We define the total strain when the load exceeds pl
Mat

E MCH 315:
Mechanical Response of Engineering Materials
Lecture 15:
Plastic Deformation and Ductile Failure:
True Stress and True Strain
FALL 2013: EMCH 315
!"#$%&"'(')*+,"'-'
Examples of forming via plastic deformation
Rolling
plane strain sheet drawing.

E MCH 315:
Mechanical Response of Engineering Materials
Lecture 1:
Introduc=on to EMCH 315
FALL 2013: EMCH 315
Lecture : Slide 1
Most commonly tensile tests are conducted in order to
characterize the mechanical response.

E MCH 315:
Mechanical Response of
Engineering Materials
Lecture 22
Fatigue Failure I
(Chap. 8):
FALL 2013: EMCH 315
Lecture 22: Slide 1
Thus far weve considered constant mean stress;
however, cyclic fatigue stress conditions may also
vary with time.

E MCH 315
Mechanical Response of Engineering Materials
Lecture 4
Elas3c Behavior of Materials
Chapter 3
FALL 2013: EMCH 315
Topic #: Slide 1
3.1 Elas3c Response
A materials ability to return to its original

E MCH 315
Mechanical Response of Engineering Materials
Lecture 6
Analysis of Stress
Chapter 2
FALL 2013: EMCH 315
External forces and moments act on the stress potato and
internal reacEon forces result in ord

E MCH 315
Mechanical Response of Engineering Materials
Lecture 10
Analysis of Strain
Strain Measurement
FALL 2013: EMCH 315
Strain Gages average of displacements over a
specied gage length
Electrical-resistanc

http:/www.engr.colostate.edu/~dga/mech325/handouts/pressure_vessels.pdf
Pressure Vessels: 1
Stack Contents
Longitudinal Stress in Cylinders
Hoop Stress in Cylinders
Vanishingly Small Element
Hoop Stress in Spheres
Radial Stress
1
2
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