Repeat Problem 10 if the following shape function is used: where , and l is the length of the beam. Problem 10 Three elastic coordinates are used to model the dynamics of a three-dimensional beam. The...

Repeat Problem 10 if the following shape function is used:

where
, and l is the length of the beam.

Problem 10

Three elastic coordinates are used to model the dynamics of a three-dimensional beam. The shape function of the beam is given by

where
, and l is the length of the beam. Determine the inertia shape integrals of the beam. Determine also the beam mass matrix if Euler parameters are used as the orientation coordinates.