1 Loads

• Forces / Moments
• Reactions
• Stability
• 2D vs. 3D
• Shear-force / Bending-moment diagrams

2 Statically determinate vs. statically indeterminate

• Calculating Reactions in statically determinate structures
• Calculating Reactions in statically indeterminate structures
• The effect of boundary condition errors

3 Stress and Strain Overview

• uni-axial loading (including the effect of Poisson's ratio)
• bending
• shear
• Interesting side-effects of Poisson's ratio

4 Simple overview of Beams

• Beam stress and strain (axial, bending, shear)
• Beam deformation (axial, bending, shear)

5 Stress and strain in more detail

• Engineering stress / True stress
• Engineering strain / True strain
• The uni-axial tensile test (with reference to Eng./True Stress/Strain)
• Plasticity referring to uni-axial tensile test

6 Stress Tensor

• The stress tensor - 2D
• The stress tensor - 3D
• Mohr-circles
• Equivalent stress measures (Von Mises, Tresca, Drucker-Prager, Mohr-Coulomb)
• Plasticity for a 2D / 3D stress state

7 Failure

• Safety factor
• Yield
• Break
• excessive deformation
• excessive weight
• fatigue
• fracture mechanics
• modal excitation
• complex failure mechanisms
• buckling

8 Linear and Nonlinear Behaviour

• large deformation
• large strain
• material nonlinearity
• plasticity
• failure
• rubber
• crack propagation
• creep
• visco-elasticity
• contact changes
• Instability (buckling)

9 Free Body Diagrams

• Converting from an actual structure to a FBD
• Constraints in a statically-determinate and -indeterminate structure
• The effect of constraint errors
• Special topic: Mechanisms and constraints

10 Calculations and Measurements

• What measurements are commonly available?
• Different results: Which one is wrong?

 

11 Checking a Calculation

• Ideas on checking a calculation
• Load balance
• Units
• Sensitivity (constraints, loads, stiffness)
• Was all failure mechanisms taken into account?

12 Special Topics Overview

• Dynamic behavior (modes, shock loads)
• Thermal strain