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EAS4200C Aerospace Structures Homework #4 (Due: Oct. 2nd)
1. Show that there is no warping in the bar of circular crosssection
Hint: First, calculate the constant C in
22
(, )
1
xy
C
aa
φ
⎛⎞
⎟
⎜
⎟
⎜
=+
−
⎟
⎜
⎟
⎟
⎜
⎝⎠
from the compatibility
equation. Second, calculate shear strains
γ
xz
and
γ
yz
from shear stresses
τ
xz
and
τ
yz
. Third,
integrate
w
(
x
,
y
)
from the definition of shear strains:
,
xz
yz
wu
wv
xz
yz
γγ
∂∂
.
2. Consider a straight bar of a uniform elliptical crosssection. The semimajor and semiminor
axes are
a
and
b
, respectively. (a) Show that the stress function of the following form:
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This note was uploaded on 06/06/2011 for the course EAS 4200C taught by Professor Kim during the Spring '09 term at University of Florida.
 Spring '09
 Kim

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