6.
A torsion bar AB is fixed at A and supported at B,
being connected to a cantilever BC. The spring rate of bar AB is , and the spring rate of the
cantilever BC is
. The force acting on point C is
distributed with
.If
,
and
are
independent, what is the overall spring rate with respect to the vertical
deflection
at C? Find its mean and
standard deviation using the First Order Second Moment Method.