Reconsider the finite elements of Problem 13.1 and evaluate the order of the polynomials required for the approximations of the generalised displacements assuming these line elements to follow the...

Reconsider the finite elements of Problem 13.1 and evaluate the order of the polynomials required for the approximations of the generalised displacements assuming these line elements to follow the Timoshenko beam model.

Problem 13.1

Consider the finite elements shown which are derived based on the assumptions of the Euler–Bernoulli beam model. For each element, specify the order of the corresponding polynomials required for the approximations of the generalised displacements.