Mechanics of Materials: Beam Deflections<br />Engineered by Group 20 <br />Christopher Webb, Anthony Williams, Carlaton Wong, Jonathan Wong<br />03/03/2010<br />
The Concept<br />Scenario: How much will a beam deflect with an applied load?<br />Calculating the beam’s deflection will reveal the beams curvature relationships<br />This project is designed to exhibit the mechanics of a bending moment on a single cantilever beam. Ultimately leading us to our goal.<br />
Goals & Objectives<br />Experimental Goals<br />How much will aluminum and brass deflect with various applied loads?<br />Determine the Young’s Modulus based on the deflection measured<br />Does our calculated Young’s Modulus equal tabulated values?<br />
What is Beam Deflection?<br />When loads are applied to a beam, the beam’s axis that was once straight will become curved. The displacements from the initial axis are called bending or flexural deflections. <br />
Apparatus Design & Operation<br /><ul><li>The beam in use will be fixed onto the standing wooden plank by securing it at the top of the apparatus with a c-clamp.
At the end of the beam there will be an attachment to serve as the applied load.
This experiment used strategically filled water bottles for the applied loads.</li></li></ul><li>Apparatus Design & Operation (cont.)<br /><ul><li>The deflection of the beam by the applied load can be recorded at the point of loading.
Cantilever beams are interchangeable allowing for supplemental testing of differing materials & structural make-ups .
Brass = 70 MPa</li></li></ul><li>Conclusion<br />With the proper build and successful experimentation of our proposed apparatus, deflections of both beams were recorded.<br />Young’s Modulus was calculated given the measured deflection.<br />Comparing our calculated and measured Young’s Modulus’ error was found to be 10-20% due to possible plastic deformation.<br />
Mechanics of Materials:Beam Deflections<br />Group 20<br />Christopher Webb, Anthony Williams, Carlaton Wong, & Jonathan Wong<br />Thank you!<br />