This preview shows pages 1–3. Sign up to view the full content.
\
PROBLEM
1 (15 points)
A general structure (not shown) deforms under some applied loading.
Given the foliowing displacement
field at a point in a structre (r,y,,z):
ur: A(r2 +
y3)
ua
:
B(r  2')'
(1)
u"0
where A, B and C are constants that are not a function of position.
(a) Determine the components'of
the strain and put them in matrix ([e])
form.
(b) For the values of.
(r,U, z)
:
(1, 1, 1), determine
the components
of the
stress and put them in matrix ([o]) form
(c) For the stress computed in part (b), determine the (polynomial) equa
tion for the eigenvalues. Do not solve it.
t"$
44
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document PROBLEM 2 (20
Points)
u(0)=O
u(L)=0
Figure 1: Problem 2.
,,
Consider
the bar in Figure 1 experiencing
the giv.en'axial'loads
and ZERO
displacement boundary dlsplacements.
It is statically INDETERMINANT'
The material
properties (constant thioughout the bar) are E, u and a.
The
bar has a uniform, circular, crosssectional
oftarea A. The bar has a uniform
loading along its length of
/
(Newtonsfmeter).
The entire system is also
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 03/28/2012 for the course C 85 taught by Professor Papadopoulos during the Spring '08 term at University of California, Berkeley.
 Spring '08
 PAPADOPOULOS

Click to edit the document details