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?