Team Members: Mechanical Engineering- Michael Resciniti Joe Plitz Electrical Engineering-

1. Visual Beams II • Team Members: • Mechanical Engineering- • Michael Resciniti • Joe Plitz • Electrical Engineering- • Aditya Chaubal • Civil Engineering- • Frank Brown • Faculty: • Project Manager- • Dr. Kadlowec • Co-Project Managers- • Dr. VonLockette • Dr. Cleary • Dr. Constans • Dr. Sukumaran

2. Project Description • Design, build, and test a hands-on visual beam system to aid students with concepts of solid mechanics such as beam bending and stresses. • Simply-supported beam scenario • Supports square, hollow, and I beams • User friendly interface • Displays moment, shear, and bending diagrams • Automatically determines loading conditions

3. What’s Been Done Before? Visual Beams I • Cantilever Beam • Displays reaction forces and torque for various loading conditions Improvements • Adjustable supports for infinite scenarios • Interchangeable beams for different moments of inertia • Display entire bending, shear, and moment diagrams in addition to reaction forces

4. Basic Design Building Constraints • Needs to be Ideal • Frictionless Roller • Reaction Forces must be Vertical • Easy Operation • User Friendly

5. Basic Design

6. Material Selection

7. Material Selection Calculations • Long slender beam (1.5”x1.5”x30”), various shapes • Apply max. point load = 100 lbs • Simply-supported and cantilever loading cases • Max. Bending stress will govern: max tension & compression • Need to also check Max. shear stress (all loading conditions & shapes) • Bending & Shear Stress Calculations also used in program

8. Calculations for Shear Force, Moment and Bending Load Between Supported Ends • Summing the forces and moments • F = Ra + Rb - P= 0 • Ma= LRb– P a = 0 • The reactions become: • Rb = P*a / (a + b) • Ra = P(1 – a / (a + b))

9. Calculations for Shear Force, Moment and Bending First Section: • Finding shear and • moments per section First Section: V1 = Ra M1= Rax • Second Section: V2 = Ra – P M2= Ra x – P(x – a) • Second Section:

10. Calculations for Shear Force, Moment and Bending • Finding the Bending in Terms of x • M1 = EI(d2ya / dx2)= Ra x EI(dya / dx)= Ra (x2 / 2) + C1 EIya= Ra (x3 / 6) + C1 x + C2 • Use B.C.’s to solve for C’s: • ya = P/EI ((1–a/(a+b))x3/6 - ax(ab+2b2)/(6(a+b))) • Similarly: • yb = Pa/EI(x2/2–x3/(6(a+b)) – x(3a2+4ab+2b2)/(6(a+b)) + a2/6)

11. Interface Selection

12. LabVIEW Design

13. LabVIEW Design

14. Future Plans • Finish construction of mechanical components • Complete calculation for different scenarios • Complete implementation of LabVIEW Virtual Instrument and add additional features to interface • Construct a displacement sensor if necessary

15. Any Questions?