Course content

Virtual work. Plastic hinges and collapse mechanisms for frame structures. Plastic capacity of frames. Displacement method: discretization, degrees of freedom, elements and system, stiffness matrix and load vector. Euler buckling, buckling of frames and the eigenvalue solution. 2. order effects,

Learning outcome

This course will give a first introduction to computational methods in structural engineering with focus on frames and trussworks.

Knowledge:

- Virtual work, plastic hinges and calculation methods for plastic collapse capacity of frame structures.

- The displacement method, including concepts such as degrees of freedom and stiffness matrix -

- Structure and application of a frame analysis program (e.g. Focus konstruksjon) -

Skills: - How to select adequate degrees of freedom and establish stiffness matrix for hand calculations - - Determine the response in a structure by use of the displacement method (matrix structural analysis)

- Development of the stiffness relation for bar and beam elements from equilibrium considerations as well as from the differential equations

-Perform simple 2. order calculations to determine deformations or buckling loads

General competence: - Plastic capacity of frames - The displacement method - The foundation for numerical calculations of structures - The difference of 1. and 2. order theory - Buckling – phenomenology and mathematical treatment.

Learning methods and activities

Lectures and exercises.

Exercises by means of hand calculation, python and FOCUS/ROBOT (FEM)

Compulsory assignments

• Compulsory assignments

Further on evaluation

Written exam.

Specific conditions