🛠️ Engineering — TFT_3Pack Example Suite

Problem 1 — Structural Resonance Load

L = D₆ / τ_r

If \( τ_r \) doubles, what happens to the load \( L \)?

Problem 2 — Thermal Expansion

E = ΛΘ T_f

If Θ increases 15% and T_f decreases 5%, what is the net percent change in E?

Problem 3 — Fluid Flow Resonance

Q = F₃ τ_r²

If τ_r increases 10%, what is the percent increase in Q?

Solution 1 — Structural Load

Doubling τ_r halves the load.

Solution 2 — Thermal Expansion

Net increase: 9.25%.

Solution 3 — Fluid Flow

Flow increases by 21%.

Problem 4 — Vibration Amplitude

A = T_f² / (D₃ + τ_r)

Analyze how changes in T_f and τ_r affect A.

Problem 5 — Stress Concentration

σ = D₉ τ_r - X

Describe how doubling τ_r affects σ.

Problem 6 — Damping Coefficient

c = ΛΘ / (1 + e^{-D₆ τ_r})

Sketch c(τ_r) and describe its behavior.

Problem 7 — Material Fatigue

F = X ln(1 + D₃ τ_r)

Describe how increasing τ_r affects fatigue accumulation.

Problem 8 — Heat Transfer Coefficient

h = (T_f + D₆) / τ_r

Analyze the effect of increasing T_f and τ_r.

Diagram 1 — Structural Load

D₆ ÷ τ_r → L
        

Diagram 2 — Thermal Expansion

Λ + Θ → ΛΘ × T_f → E
        

Diagram 3 — Fluid Flow

τ_r → τ_r² × F₃ → Q