Question
For 10 points each, answer the following about determining the deflection of a beam:
[10e] A beam’s second derivative of deflection with respect to position equals negative bending moment over I times a quantity named for this scientist. That “modulus” named for this scientist equals stress over strain.
ANSWER: Thomas Young [accept Young’s modulus]
[10m] To draw a bending moment diagram, one integrates the beam’s value of this quantity across its whole length. This quantity, symbolized tau, represents force applied parallel to a material’s surface.
ANSWER: shear force [or shear stress; prompt on V]
[10h] To determine the critical buckling load, one must analyze the beam’s slenderness ratio, calculated as length over this quantity. This quantity equals the square root of I over A.
ANSWER: least radius of gyration [or gyradius; prompt on r or k]
<Science - Physics>
Summary
| 2024 Booster Shot (Columbia) | 02/23/2024 | Y | 6 | 11.67 | 100% | 17% | 0% |
| 2024 Booster Shot (Great Lakes) | 03/09/2024 | Y | 7 | 14.29 | 100% | 43% | 0% |
| 2024 Booster Shot (Great Lakes) | 03/09/2024 | Y | 1 | 10.00 | 0% | 0% | 100% |
| 2024 Booster Shot (Vanderbilt) | 03/02/2024 | Y | 3 | 10.00 | 67% | 33% | 0% |
| 2024 Booster Shot (WUSTL) | 03/09/2024 | Y | 3 | 13.33 | 67% | 67% | 0% |
| 2024 Booster Shot (Waterloo) | 02/23/2024 | Y | 4 | 15.00 | 100% | 50% | 0% |
Data
| Georgia Tech C | Belmont | 10 | 0 | 0 | 10 |
| Vanderbilt B | Georgia Tech B | 0 | 0 | 0 | 0 |
| Vanderbilt A | WUSTL | 10 | 10 | 0 | 20 |