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ENGR5004 / Week 1
Statics S1 slide 16: Consolidating foundationsFrom lectureCurrent spec2:28 marks8 min

ENGR5004 Statics session 01, slide 16 (Consolidating foundations)

Consolidating foundations (end of Statics session 1).

Formulas you may need
  • Statically determinate: DOFs suppressed by the constraints = DOFs of the free body; indeterminate if larger (learn this)
  • Rigid body DOFs: 3 in 2D space, 6 in 3D space; roller removes 1 DOF, pin removes 2, fixed support removes 3 (in 2D) (learn this)
  1. (a)
    What does the rigid body idealisation state?
    [1]
  2. (b)
    What is the difference between external and internal forces? Which category do constraint reactions belong to?
    [2]
  3. (c)
    Consider a beam in 2D space and list 3 constraint configurations resulting in static indeterminacy.
    [3]
  4. (d)
    How many DOFs in 3D space are there for a cube? And for a thin circular cross-section rod?
    [2]