Isostatic Structures (5 ECTS)

Evaluation scale

0-5

Assessment criteria, satisfactory (1)

On completion of the course the student can
- repeat the integration of a differential equation of a deflection curve
- calculate the deflection of a beam by using Mohr’s analogy without difficulty in a simple problem
- recognise the displacement of a beam structure by using work integral
- understand Maxwell’s reciprocal theorem
- recognise the degree of statical indeterminacy
- recognise a continuous beam
- recognise force surfaces, deflection beams and assess the impact of beam span as well as rigidity on deflection, sketch deflection curves and M- and V-diagrams without calculations
- explain the influence line of an isostatic beam
- explain the structural behaviour of an isostatic arch structure
- check deflections and M-, V- and N-diagrams by computer software.

Assessment criteria, good (3)

In addition to the requirements listed above, the student can
- derive the differential equation of a deflection curve
- calculate the deflection of a beam by using Mohr’s analogy without difficulty in all problems
- determine the displacement of a beam structure with work as an integral without difficulty
- use Maxwell’s reciprocal theorem
- determine the degree of static indeterminacy
- solve the force surface of a continuous beam using tables
- draw force surfaces and deflection curves quickly and without difficulty
- solve the force surfaces of an isostatic arch structure
- draw influence lines for isostatic beams.

Assessment criteria, excellent (5)

In addition to the requirements listed above, the student can
- derive and generalise the differential equation of a deflection curve in complicated problems with boundary conditions
- calculate and justify the deflection of a beam by using Mohr’s analogy
- determine and check the displacement of a beam structure with work as an integral by using tables and integration
- describe and apply Maxwell’s reciprocal theorem and understand its significance in creating an elasticity matrix
- determine and explain the influence of the degree of static indeterminacy
- solve the force surface of a continuous beam using tables
- draw force surfaces and deflection curves for beams and frames without difficulty.

Assessment criteria, approved/failed

On completion of the course the student can
- repeat the integration of a differential equation of a deflection curve
- calculate the deflection of a beam by using Mohr’s analogy without difficulty in a simple problem
- recognise the displacement of a beam structure by using work integral
- understand Maxwell’s reciprocal theorem
- recognise the degree of statical indeterminacy
- recognise a continuous beam
- recognise force surfaces, deflection beams and assess the impact of beam span as well as rigidity on deflection, sketch deflection curves and M- and V-diagrams without calculations
- explain the influence line of an isostatic beam
- explain the structural behaviour of an isostatic arch structure
- check deflections and M-, V- and N-diagrams by computer software.