I started this project with one goal in mind: I. Am. Going. To. Make. A. E2. So i started, i would be replacing a LB&SCR E2 Class 0-6-0T. However, i wanted to modify the engine to look more like Thomas the Tank Engine.

E2 #105

The driving question was: How can we design an object to optimize its shape? We also had to use at least 10 shapes. So we had some restraints. My goal was to create a 3d model of a LB&SCR E2x Class 0-6-0T. The ‘x’ means it is a rebuild of the original. So i decided to get to work.

A photoshop of E2 #105 into a photo of Thomas

I created the model to maximize surface area. I also decided to add some stylistic choices. Here is my design:

i had 13 main shapes:

• Rectangular prism x5
• Cylinder x5
• Semi-Cylinder x2
• Semi-sphere x1

I needed to find the Surface Area & Volume of each shape. Here are the calculations:

Smoke Box:

π30.88² x 29.85 = 89,423mm³ Cylinder

25.21 x 19.67 x 20.90 = 10,364mm³ Rectangular Prism

Funnel:

π9.45² x 25.37 = 7,117.6mm³ Cylinder

π12.60² x 2.99 = 1,491.3mm³ Cylinder

Wheel Arches:

(¹/₂)π20.9² x 9.4 = 6,449.7mm³ Semi Cylinder

(¹/₂)π20.9² x 9.4 = 6,449.7mm³ Semi Cylinder

Side Tanks:

50.42 x 56.19 x 29.85 = 84,568mm³ Rectangular Prism

50.42 x 16.86 x 17.91 = 15,225mm³ Rectangular Prism

Boiler:

π30.88² x 73.05 = 218, 839mm³ Cylinder

Dome:

π14.97² x 8.96 = 6, 308.1mm³ Cylinder

(²/₃) π7.2² = 7.5 Semi-Sphere

Cab:

50.42 x 33.71 x 52.24 = 88,790mm³ Rectangular Prism

(¹/₂)π2.99² x 3.71 = 158.3mm³ Semi-cylinder

Bunker:

50.42 x 16.86 x 38.81 = 32,992mm³ Rectangular Prism

😉