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Technische Mechanik I

Forces, moments, supports and internal forces — the statics that every engineering degree examines first. Placeholder content.

12 lessons · about 4 hours · First-year engineering, statics

The syllabus, mapped

  1. 01Forces and moments — Every later problem is set up with these.
  2. 02Equilibrium of rigid bodies — The method the whole paper tests.
  3. 03Supports and reactions — Where the first mistakes are made.
  4. 04Trusses — A full question, nearly every year.
  5. 05Internal forces and diagrams — Shear and bending moment diagrams, drawn correctly under time pressure.
  6. 06Friction — Short, and easy to get backwards.

The 12 lessons

  1. 01Forces and moments: the ideas · free
  2. 02Forces and moments: exam problems
  3. 03Equilibrium of rigid bodies: the ideas
  4. 04Equilibrium of rigid bodies: exam problems
  5. 05Supports and reactions: the ideas
  6. 06Supports and reactions: exam problems
  7. 07Trusses: the ideas
  8. 08Trusses: exam problems
  9. 09Internal forces and diagrams: the ideas
  10. 10Internal forces and diagrams: exam problems
  11. 11Friction: the ideas
  12. 12Friction: exam problems

The first lesson is free. The other 11 (4 hours in all) cost $10.18 bought together.

Or $1.70 a lesson one at a time, or $20.00 a month for Minimal — cheaper once you take more than ~11 lessons a month.

Try a block from the first lesson: Forces and moments: the ideas
Simulation · friction on a slopeSLIDING
22°
Speed vs timeDistance vs time
a1.40 m/s²v0.00 m/st0.00 s

Gravity down the slope beats friction, so the block accelerates at a constant 1.40 m/s². That's why speed climbs in a straight line while distance curves upward — distance is the area under the speed graph. Mass never appears in either sum.

A book rests on a table tilted at 30°. Compared with the book's weight mgmg, the normal force from the table is

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