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 + )
=
=
T = T
IP
3. Torsion
P
A0
=
P
=
= E
A
L
=
= = G =
PL
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 loaded members
( )
P
=
P
=
= E
A
L
=
PL
AE
Shear Force and
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 )
xy ( xy )
zx ( zx )
xz ( xz )
x ( xx )
x
yx ( yz )
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. Bending and shear
stresses in beams
7. Analysis of stre
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
Forces
Shear
Stresses
Chapter 1 Tension, Compression, and
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 planes:
(a) element in pure shear, (b) stresses acting on