A uniform cantilever of arbitrary cross-section and length L has section properties Ixx, Iyy and
Ixy with respect to the centroidal axes shown in Fig. P.16.14. It is loaded in the vertical (yz) plane
with a uniformly distributed load of intensity (w/unit length). The tip of the beam is hinged to a
horizontal link which allows it to move in the vertical direction only. Beam is also fixed at point
C (x=y = z = 0)
Assume that the link is rigid, and that there are no twisting effects:
(a) Write the expressions for moment (Mx, My) in terms of loads, at a section between (z=0, z=
L).
b) Write the boundary conditions (BC) for displacement & slope, at both ends of beam.
b) Find the expression for horizontal deflection (u) in terms of loads. Use this expression & apply
BC, to find the force in the link;
(b) Find the vertical deflection of the tip of the beam
For vertical deflection: