Ch2. Strain
Applied forces cause the body to change its shape and size (deformation=strain).
Deformation can be highly visible or practically unnoticeable with the naked eye.
avg
s s
=
s
s (1 + ) s
Strain is positive if the initial line elongates, and is
Ch 8. Combined Loadings
Thin wall pressure vessels: r/t10
Cylindrical vessel: circumferential or hoop stress and longitudinal or axial stress.
1 = pr/t
Professor A. Volinsky
2 = pr/2t
EML3500 Mechanics of Solids
1
Spherical Vessels
Biaxial stress, i.e. no
Ch3. Mechanical Properties
Tensile test
Professor A. Volinsky
EML3500 Mechanics of Solids
1
Tensile Test
=L-L0; =P/A0; =/L0
Professor A. Volinsky
EML3500 Mechanics of Solids
2
Steel Stress-Strain Curve
Engineering stress =P/A0
True stress =P/A
Professor A
Ch 10. Strain Transformation
Plane Strain Plane Stress.
Six independent stress components, which act on the faces of an element, and
six corresponding strain components. (Three normal and three shear stresses
and strains). For simplification simpler strai
Ch 9. Stress Transformation
Plane Stress.
Six independent stress components, which act on the faces of an element. (Three
normal and three shear stresses). For simplification simpler stress states are
assumed in engineering. Plane stress has two normal an
Ch 7. Transverse Shear
Due to complimentary property of shear, longitudinal shear stresses also act along the
longitudinal planes of the beam.
Professor A. Volinsky
EML3500 Mechanics of Solids
1
Shear
Transverse loading applied to a beam
results in norma
Example 1
SOLUTION:
Divide the rod into components at
the load application points.
E = 29 106 psi
D = 1.07 in. d = 0.618 in.
Determine the deformation of
the steel rod shown under the
given loads.
Apply a free-body analysis on each
component to determin
Ch 6. Bending
Beams-slender members that support loads
applied perpendicular to their longitudinal
axis.
Beams develop internal shear forces and
bending moments. In order to properly design
a beam it is important to determine the
maximum shear force V and