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seeing structures

Professor Susan M. Reynolds

   

Seeing Structures is the first-generation of a new, online repository of interactive teaching models that facilitate visualization of engineering mechanics problems. The project scope includes content from Statics, Mechanics of Materials, and Structural Analysis. To date, the majority of the models have been created to support the Mechanics of Materials course at Colorado School of Mines.

 

Susan's Homepage

 

About the project

 

When COVID-19 necessitated remote teaching, I needed to quickly convert timeless hands-on teaching props into equally effective online equivalents.

Unable to pass around a foam beam to demonstrate concepts such as “plane sections remain plane,” or an annotated wood cube for the sign convention for shear stress, I created dozens of interactive CAD models.

The first generation of the Seeing Structures models have been uploaded to SketchUp’s 3D Warehouse.

You can view the Seeing Structures repository at

https://3dwarehouse.sketchup.com/user/441016d8-1ab3-4d6b-9547-9c1b21cb30c9/Susan-R

The models support student learning by enabling visualization of 3D concepts in a dynamic, interactive interface.

Students can connect the abstraction of an analytical model while viewing the practicality of construction detailing.

My objective is to share my work across the engineering education community. To use my models in your class, I only ask that you acknowledge that they were created by Professor Susan Reynolds as part of the Seeing Structures project.

I am in the process of formally designating each visualization with a Creative Commons license.

 

SEEING STRUCTURES: MODELS CREATED TO DATE

 

1. Internal normal force, shear force, and bending moment in a beam element

https://3dwarehouse.sketchup.com/embed/f96138d3-07a0-40e6-9f3e-bd1bbb3accb9

2. Average normal stress (example problem)

https://3dwarehouse.sketchup.com/embed/e04721f4-a4c5-473b-ba8d-03cc694f8b6c

3. The stress cube and the stress element

https://3dwarehouse.sketchup.com/embed/a8495c69-a705-41bb-a7d9-3a466a87730e

4. Representation of a body as a continuum of stress cubes; normal stress on a stress cube

https://3dwarehouse.sketchup.com/embed/9f5f875b-a2ca-48f7-bc19-a786214e87a2

5. Hooke’s Law (the spring experiment)

https://3dwarehouse.sketchup.com/embed/2375e9ab-8bea-4e57-8dd0-ea42f6be52a2

6. Fixed-free bar subjected to axial tension

https://3dwarehouse.sketchup.com/embed/0a95ea86-cb13-4769-8c26-ac374464d431

7. Sign convention for planar shear stress

https://3dwarehouse.sketchup.com/embed/ecf7f7d3-b7bf-431c-8c96-d4a75ae608c8

8. Sign convention for all 3D normal and shear stresses

https://3dwarehouse.sketchup.com/embed/5292d06d-61f7-4f58-8f88-d157e8be9498

9. Poisson’s Ratio

https://3dwarehouse.sketchup.com/embed/0ba7cd9d-5174-4206-bf2c-73e1ad008bc4

10. Axial deformation of a simple axial member

https://3dwarehouse.sketchup.com/embed/ea229348-2ef2-4e5e-9c48-d98d0a41e743

11. Axial deformation of a compound axial member

https://3dwarehouse.sketchup.com/embed/d6a98d25-f789-4200-824a-083ed3555be0

12. An unconstrained beam subjected to thermal effects

https://3dwarehouse.sketchup.com/embed/29e12487-f414-4b96-82f3-f732a0079c00

13. A spherical pressure vessel

https://3dwarehouse.sketchup.com/embed/655cb531-f2a4-4b1a-8d4b-41d68803aaa7

14. A cylindrical pressure vessel

https://3dwarehouse.sketchup.com/embed/bfa2aef5-f451-4da2-86cc-44cd7943266f

15. A composite steel and concrete (co-axial) column

https://app.sketchup.com/viewer/3dw?WarehouseModelId=faa0d090-ade4-464c-bcd2-e76e725b0176

16. A rigid beam supported by deformable (flexible) cables

https://3dwarehouse.sketchup.com/embed/f3a160dd-877a-4800-86b9-8f4c4a217275

17. Deformations that result from shear force and from bending moment

https://3dwarehouse.sketchup.com/embed/62d17a9f-8c81-4ac6-8d01-942b4423fa52

18. Centroid / center of area (checkerboard analogy)

https://app.sketchup.com/viewer/3dw?WarehouseModelId=e78c683a-bd5b-4a76-9d94-0ebd819daf05

19. Strong-axis bending vs. weak-axis bending of a beam

https://3dwarehouse.sketchup.com/embed/97404547-9c22-47b4-8be5-d74d3d088a20

20. Cantilever beam subjected to an applied moment (derivation of the flexure formula)

https://app.sketchup.com/viewer/3dw?WarehouseModelId=7711106b-2054-4d43-8cc6-7447b4945e55

21. Distribution of flexural stress on a cross-sectional plane for positive and negative bending

https://3dwarehouse.sketchup.com/embed/c93a7ae7-8f10-4eb0-b0b6-3d33cf180680

22. Derivation of the formula for transverse shear stress in a beam

https://3dwarehouse.sketchup.com/embed/6497c123-1137-47f8-a029-12a18ab0a723

23. A solid cylindrical shaft subjected to torsion

https://3dwarehouse.sketchup.com/embed/622b26e3-4986-4654-a9ba-d2a40b257b31

24. A hollow cylindrical shaft subjected to torsion

https://3dwarehouse.sketchup.com/embed/6515c011-97fc-4df1-b3f2-ee1be37d36ba

25. Comparison of a stocky column and slender column (both pin-pin)

https://3dwarehouse.sketchup.com/embed/184cc5e2-8434-4aef-9941-25e7d848632b

26. Pin-pin columns and bracing – small wood structure

https://3dwarehouse.sketchup.com/embed/23db4b67-4c0a-4c96-9fd5-698fa7dba9ff

27. Wood column supported by through-bolts

https://3dwarehouse.sketchup.com/embed/5b95c36e-6617-4794-a9a3-77c4270b8ae6

28. A wall-mounted shelf

https://3dwarehouse.sketchup.com/embed/1f662cd0-0d6c-4586-b22b-55f4c0a54703

29. Members susceptible to stress concentrations due to a hole, a notch, or a taper

https://3dwarehouse.sketchup.com/embed/bd2df354-c476-4099-90f6-02abe0980237

30. An eccentric compressive force (combined axial and flexural stress)

https://3dwarehouse.sketchup.com/embed/5ec6193e-d8c4-4482-be9f-6c52d231bc6e

31. Combined stress: an allen wrench in static equilibrium

https://3dwarehouse.sketchup.com/embed/9aa9171e-5a13-4f2a-9e62-80892a63518c

32. A C-clamp compresses a block of wood

https://3dwarehouse.sketchup.com/embed/a4cd32bb-e4b8-4ce6-ae47-38792c51e44d

33. A 3D bent pipe subjected to moments and forces

https://3dwarehouse.sketchup.com/embed/ab9c450e-95bc-4db7-aa45-0577dcde424c

34. Stress on an inclined plane

https://3dwarehouse.sketchup.com/embed/a3fd5081-1609-4124-86fd-b0442387613b

35. Stress transformation in 3D: rotation to principal planar stresses in xy, yz, and xz

https://3dwarehouse.sketchup.com/embed/689bcf8a-a71b-4ef9-b4b7-24998419d4df