AE 362SPRING 2011
HW2
1
For the uniform beam and loading shown, determine the reaction at the supports. Choose
the reaction R
A
as the redundant reaction and use the Castigliano's theorem to determine R
A
by
setting the deflection at A to zero.
2
A slender curved bar
AB
lying in a horizontal plane
with its centerline forming a quarter
circle of radius
R
is subjected to a vertical load
P
at the free end
B
. The bar has flexural
rigidity
EI
and torsional rigidity
GI
p
.
Determine the vertical deflection
δ
v
and the angle of
twist
Φ
at the end by using the
unit load method
.
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The fuselage frame shown in the figure below consists of two parts, ACB and ADB, with
frictionless pin joints at A and B. The bending stiffness is constant in each part, with value
EI
for ACB and
xEI
for ADB. Find
x
so that the maximum bending moment in ADB will be one
half of that in ACB. Assume that the deflections are due to bending strains only.
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 Spring '11
 AltanKayran

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