47. A
round Euler column is subjected to an axial force 
. The column has a length of 
and its ends are pined as shown
in the figure. The modulus of elasticity is 
kpsi. If the maximum probability
of failure is designed to be 
, determine the minimum diameter
of the column using the First Order Second Moment Method. Note that 
and
are independent.
Answer:
, 
