Engineer's Notebook §1–4

Mechanics

How forces act on bodies and structures, and how those bodies move and deform. Each topic opens with its formula, then a demo you can change.

1 · Statics

1.1Free-body diagramsN = mg cos θ
1.2EquilibriumΣF = 0, ΣM = 0

2 · Beams

2.1Reactions and shearRA = Pb/L
2.2Bending momentM = PL/4
2.3Beam deflectionδ = PL³/48EI
2.4Cantileversδ = PL³/3EI
2.5Second moment of areaI = bh³/12

3 · Stress

3.1Axial stress and strainσ = F/A, ε = σ/E
3.2Bending stressσ = My/I

4 · Kinematics

4.1Constant accelerationv² = u² + 2as