Beam reactions at pin and roller supports under vertical, horizontal and angled loading

What this note covers

1. Translate supports into forces, not assumptions about answers
2. Use force and moment equilibrium together
3. Worked original example: an off-centre point load
4. Resolve an angled action before balancing the beam
5. Recognise symmetry, multiple loads and model limits
6. Present reactions so they can be used in the next calculation
7. Worked equilibrium case: pin, roller and an angled action
8. Worked diagnostic case: a reaction that exposes an invalid support model

8 sections · 10 key terms & formulas · 6 common mistakes