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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. - PowerPoint PPT Presentation
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Team Members:Team Members:
Mechanical Engineering-Mechanical Engineering-• Michael Resciniti• Joe Plitz
Electrical Engineering-Electrical Engineering-• Aditya Chaubal
Civil Engineering-Civil Engineering-• Frank Brown
Faculty:Faculty:
Project Manager-Project Manager-• Dr. Kadlowec
Co-Project Managers-Co-Project Managers-• Dr. VonLockette• Dr. Cleary• Dr. Constans• Dr. Sukumaran
Project DescriptionProject 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
What’s Been Done Before?What’s Been Done Before?
• Cantilever Beam
• Displays reaction forces and torque for various loading conditions
• Adjustable supports for infinite scenarios
• Interchangeable beams for different moments of inertia
• Display entire bending, shear, and moment diagrams in addition to reaction forces
Visual Beams I
Improvements
Basic DesignBasic Design
Building Constraints
•Needs to be Ideal
•Frictionless Roller
•Reaction Forces must be Vertical
•Easy Operation
•User Friendly
Basic DesignBasic Design
Material SelectionMaterial Selection
Shape
Material
Solid Square Tube
Hollow Square Tube
I-beam
Acetal-C Available Not Available Machining required
PVC Not Available Available No Machining
Aluminum Available Available Machining required
• 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
Material Selection CalculationsMaterial Selection Calculations
I
Mc
A
V
2
3max
It
VQavg
Calculations for Shear Force, Calculations for Shear Force, Moment and BendingMoment and Bending
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))
Load Between Supported Ends
Finding shear and
moments per section First Section:
V1 = Ra
M1= Ra x
Second Section:
V2 = Ra – P
M2= Ra x – P(x – a)
First Section:
Second Section:
Calculations for Shear Force, Calculations for Shear Force, Moment and BendingMoment 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)
Calculations for Shear Force, Calculations for Shear Force, Moment and BendingMoment and Bending
Interface SelectionInterface Selection
LabVIEW MATLABUser-friendly interface Difficult to learn for new user
Works properly with NI DAQ card
NI DAQ card is not part of list of standard DAQ cards
Easier manipulation of graphical features
Difficult to work with graphical features
Difficult to program complex equations
Can solve complex differential and other equations
Can import MATLAB scripts
LabVIEW DesignLabVIEW Design
LabVIEW DesignLabVIEW Design
Future PlansFuture 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
Any Questions?Any Questions?
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