S2 - Mechanics of deformable
solids
Lecture 10 Plane stress, plane strain
FEEG1002 Prof. F. Pierron
December 2014
Plane stress - 1
Thin plate-like structures loaded in their plane
The stress matrix reduces to
xx xy
yx yy
0
0
0
0
0
The stress compon

S2 - Mechanics of deformable
solids
Lecture 4 A few stress solutions
FEEG1002 Prof. F. Pierron
November 2014
Shear stresses in beams - 1
For a rectangular cross-section
Parabolic shear stress distribution (lecture 14, S1)
y=2
y =0
y=2
yx
3 av 4y 2

S2 - Mechanics of deformable
solids
Lecture 5 2D stress transformation
FEEG1002 Prof. F. Pierron
November 2014
Stress transformation - 1
p 0
=
0 0
Back to the bar in tension
y
-p
x
e1
ex
p
x
p 0 1 p
=
T ( M , ex ) =
0 0 0 0
What happens in anot

S2 - Mechanics of deformable
solids
Lecture 1 - Stresses in general solids
FEEG1002 Prof. F. Pierron
November 2014
1
What we have seen so far - 1
Bar (truss) model
F
F
y
F
=
A
F
x
A: cross sectional area
The stress is uniformly distributed along the len

S2 - Mechanics of deformable
solids
Lecture 6 Mohrs circle
FEEG1002 Prof. F. Pierron
November 2014
Christian Otto Mohr
German civil engineer
1835 - 1918
Railway engineer and
professor
Also known for the MohrCoulomb friction criterion
Prof. F. Pierron FEEG

S2 - Mechanics of deformable
solids
Lecture 9 Hookes law
FEEG1002 Prof. F. Pierron
November 2014
Robert Hooke
Experimental physicist
18 July1635 (Freshwater,
Isle of Wight)
3 March 1703 (London)
Prof. F. Pierron FEEG1002 2014 - S2, Lecture 9
2/26
The uni

S2 - Mechanics of deformable
solids
Lecture 7 Displacement and strain
FEEG1002 Prof. F. Pierron
November 2014
Introduction - 1
Where do stresses come from?
Fundamental physics: four basic interactions
Gravitation
Electroweak interaction
Electromagnet

S2 - Mechanics of deformable
solids
Lecture 12 Strain energy
FEEG1002 Prof. F. Pierron
December 2014
Strain energy - 1
Elastically deformed solids store energy
Can we relate this energy to stress and strain?
Prof. F. Pierron FEEG1002 2014 - S2, Lecture

S2 - Mechanics of deformable
solids
Lecture 11 Complements
FEEG1002 Prof. F. Pierron
December 2014
Principal directions - 1
How to calculate the directions of principal stresses or
strains?
Back to Mohrs circle
: angle to principal axes
t
Here, is posi

S2 - Mechanics of deformable
solids
Lecture 2 The stress matrix (3D/2D)
FEEG1002 Prof. F. Pierron
November 2014
Preamble
Had a question about this notation
T ( M , ex ) = xx ex + yx ey + zx ez
ex is a basis vector
1
0
0
ey 1
Coordinates: ex 0
ez