33. A
tensional force 
is applied to a bar shown in the
figure. The bar has a cylinder portion with diameter 
and length 
, and a tapered portion with
length 
and a diameter 
of the end cross section. The
modulus of elasticity is 
. If 
and
are independent, determine the mean
and standard deviation of total axial elongation. Note that the elongation of
tapered portion is given by 
.
Answer:
, 
