HomeworkT
The stress distribution in a thin wide steel plate [E = 200 GPa and v = 0.30J with a central circular
hole is given by Eqs. (3.42) when the plate is subjected a uniaxial tensile or compressive load'
Determine the error made in the determination

Homework 10
A Helium-Neon laser produces light of wavelength = 632.8 nm. Determine:
1. The frequency of this light
2. The wavelength of this light when it propagates through a glass plate of index of
refraction n=1.522
3. The velocity of propagation in th

2.2
Given the disPlacement field:
u = [x 2 + Y+ + bYzz+ YzJ[1O-:i
v= ()ry + xz + 3xzz)[10-J
+
w = [y4 +4Y3 2zz)(lo-3)
2.3
(2'2J
Compute the associated strains at point (1,2,3). Compare the results obtained by:using Eqs,
and [2,3) with those obtained by us

Homework 9
An aluminum panel (E = 70 GPa, = 0.33 ) under a uniaxial residual stress o in the ydirection is investigated by the hole drilling technique. A strain gage is placed along the x-axis
and subsequently an 8 mm diameter hole is drilled with its cen

Homework 4
A cylindrical pressure vessel of inner and outer radii a and b is subjected to internal pressure p
and the displacements ua and ub on the inside and outside surfaces are measured. Determine the
Youngs modulus and Poissons ratio of the material

Homework Assignment No.
cfw_
.
At a point in a stressed body, the Cartesian components of stress are oxx : oyy : 75 MPa , 6rz=
- 30 MPa, r*y : 0, r*= 45 MPa and rr*- 75 MPa. Determine the normal and shear stress on
a plane whose outer
cos (n,
2,
1
normal

CHAPTER
BASIC EQUATIONS
3.
1
3
. PLANE ELASTICITY
Formulation of problem
In the general 3-D problem there are 15 unknowns to be determined
at
a point:
6 stress
components:
o1, oy,
6 strain
components:
t1, ty,
3 displacement
C,2, xxy,
xyz, xzx
t-z, Txy, Ty

9/30/2014
Lecture 2
Review
1
9/30/2014
State of Stress at a Point
Stress Components along Coordinate Directions
z
z
x
y
2
9/30/2014
Equations of Equilibrium
Transformation of Stress Tensor
3
9/30/2014
Two-Dimensional State of Stress
Stress Transformation

Stress-Strain Relations
Assumptions: Continuousmedium
Linearity of stress vs. strain
General linear stress-strain relation
6ij - Ci;u sg
or, in contracted notation and in matrix form
6oy
oz
xy,
xr*
\xY
Er
C* C* Cro C,
c, c* cro c^
C, C* C.o C ,
I !; Co, C

Determination of Sphere Radius by Shadow Moir Imaging
November 11, 2014
Objective:
The objective of this lab is to demonstrate optical methods of displacement and contour
measurement, specifically a form of geometric Moir for measuring the out-of-plane
co

Determination of Material Fringe Value
An epoxy disk, 3 in. in diameter and 0.+0 in. thick, was loaded under diametral
compression of P = 500 lb and the fringe patterns below were obtained
photographically. Determine the maximum fringe order at the center

Homework 13 (2014)
A urethane rubber disk 100 mm in diam. and 10 mm thick is loaded under diametral compression
with a load P = 275 N. The disk is coated with an array of 10 horizontal lines/mm and using a
similar master array the following moir fringe pa

Troblolrr Fflr
The following data were obtained from a series of tests conducted on precracked
specimens of thickness
I
mm.
':,
't1
,.
length
Critical load
Critical displacement
P(td.cfw_)
u(mm)
30.0
4.00
0.40
40.0
3.50
0.50
50.5
3.r2
0.63
Crack
a(mm)
6t.