5003 Lectures - Faculty of Engineering and Applied Science

E5003 - Ship Structures I 174
© C.G. Daley
Topic 16: Problems
16.1 The displacement functions of the constant stress triangular element are:
u(x,y) = C1 + C2 x + C3 y
v(x,y) = C4 + C5 x + C6 y
where u represents the x-translation of any point (x,y) and v represents the ytranslation
of the point.
16.2 A beam has only one coordinate (x). However, most beam models would allow
a point on the beam to rotate as well as translate. So, construct 3 simple
displacement functions;
u(x),
v(x),
θ(x),
of a ‘beam element’, using the same logic as was used to create the displacement
functions of the constant stress triangular element.