[ANSWERED] 1. Explicitly evaluate pp of E q . (4.7.15); then differentiate pp with respect to v 1 ; 1 ; v 2 ,..

1. Explicitly evaluate pp of E
q
. (4.7.15); then
differentiate pp with respect to v
1
;
1
;
v
2
, and v
2
and set each of these equations to zero (that
is, minimize pp) to obtain the four element equations for the beam element.
Then express these equations in matrix form.
2. Determine the free-end deflection for the tapered beam
shown in Figure P4–46. Here I(x) = I
0
(1 + n/x=L) where I0 is the
moment of inertia at x = 0. Compare the exact beam theory solution with a
two-element finite element solution for n = 7[12.