MEM
MEM230 Mechanics of Materials
Stresses and Strains in Pure Shear
Stresses acting on a stress
element cut from a bar in
torsion are in pure shear.
Analysis of stresses in pure shear on inclined pla
MEM
MEM230 Mechanics of Materials
Shear Stress and Strain; Bearing Stress
Example Bolted connection in which the bolt is loaded in double shear.
Flat Bar
Bolt
Clevis
Top View
Bearing
Stresses
Shear
Fo
MEM
MEM230 Mechanics of Materials
d0 d
1a. Stress/Strain
P
P
L0
L
( )
1b. Constitutive relations
(Linearly elastic)
2. Axially loaded members
3. Torsion
4. Shear force and bending
moment diagrams
5.
MEM
MEM230 Mechanics of Materials
z ( zz )
y
y ( yy ) zx ( zx )
x ( xx )
xy ( xy )
xz ( xz )
yz ( yz )
zy ( zy )
z ( zz )
yz ( yz )
z
Chapter 2 Axially loaded members
zy ( zy )
yx ( yz )
x
MEM
MEM230 Mechanics of Materials
d0 d
1a. Stress/Strain
P
P
=
d d0
d0
=
G=
G=
E
2(1 + )
L0
L
( )
1b. Constitutive relations
(Linearly elastic)
L L0
L0
=
E=
P
A0
=
Chapter 4
E (G )
2. Axially loade
MEM
MEM230 Mechanics of Materials
d0 d
1a. Stress/Strain
P
P
L0
L
( )
1b. Constitutive relations
(Linearly elastic)
2. Axially loaded members
E (G )
E=
( )
P
L L0
L0
=
d d0
d0
=
G=
G=
E
2(1 + )
=
Finite Element Analysis
The routine use of fracture mechanics in design is largely feasible due to the availability of
finite clement analysis packages for many computer platforms. Moreover, with the
Stress-strain behavior
The stress-strain behavior is
dependent on a number of
parameters which include material
variables such as aggregate type and
size , and testing variables such as age
at testing