For the finite elements of Problem 13.1, clarify whether their polynomials satisfy the consistency requirements for finite elements under the assumptions of the Timoshenko beam model. Problem 13.1...

For the finite elements of Problem 13.1, clarify whether their polynomials satisfy the consistency requirements for finite elements under the assumptions of 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.