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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
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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
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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
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Basic Design Building Constraints Needs to be Ideal Frictionless Roller Reaction Forces must be Vertical Easy Operation User Friendly
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Basic Design
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Material Selection Shape Material Solid Square Tube Hollow Square Tube I-beam Acetal-CAvailableNot AvailableMachining required PVCNot AvailableAvailableNo Machining AluminumAvailable Machining required
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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 Calculations
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Calculations for Shear Force, Moment and Bending Summing the forces and moments F = R a + R b - P = 0 M a = LR b – P a = 0 The reactions become: R b = P*a / (a + b) R a = P(1 – a / (a + b)) Load Between Supported Ends
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Finding shear and moments per section First Section: V 1 = R a M 1 = R a x Second Section: V 2 = R a – P M 2 = R a x – P(x – a) First Section: Second Section: Calculations for Shear Force, Moment and Bending
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Finding the Bending in Terms of x M 1 = EI(d 2 y a / dx 2 ) = R a x EI(dy a / dx) = R a (x 2 / 2) + C 1 EIy a = R a (x 3 / 6) + C 1 x + C 2 Use B.C.’s to solve for C’s: y a = P/EI ((1–a/(a+b))x 3 /6 - ax(ab+2b 2 )/(6(a+b))) Similarly: y b = Pa/EI(x 2 /2–x 3 /(6(a+b)) – x(3a 2 +4ab+2b 2 )/(6(a+b)) + a 2 /6) Calculations for Shear Force, Moment and Bending
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Interface Selection LabVIEWMATLAB User-friendly interfaceDifficult 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
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LabVIEW Design
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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
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Any Questions?
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