136561-Mechanics-of-Materials-Beam-Deflection-Test

136561-Mechanics-of-Materials-Beam-Deflection-Test -...

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Mechanics of Materials Laboratory Beam Deflection Test David Clark Group C: David Clark Jacob Parton Zachary Tyler Andrew Smith 10/20/2006
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Abstract If a beam is supported at two points, and a load is applied anywhere on the beam, the resulting deformation can be mathematically estimated. Due to improper experimental setup, the actual results experienced varied substantially when compared against the theoretical values. The following procedure explains how the theoretical and actual values were determined, as well as suggestions for improving upon the experiment. The percent error remained relatively small, around 10%, for locations close to supports. As much as 30% error was experienced when analyzing positions closer to the center of the beam. 2
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Table of Contents ...................................................................... 4 1.1. General Background ......................................................................... 4 1.2. Determination of Curvature ............................................................... 4 1.3. Central Loading ................................................................................ 4 1.4. Overhanging Loads ........................................................................... 6 2. Equipment and Procedure ....................................................................... 7 2.1. Equipment ......................................................................................... 7 2.2. Experiment Setup .............................................................................. 7 2.3. Central Loading ................................................................................. 8 2.4. Overhanging Loads ........................................................................... 8 .................................................................. 9 3.1. Central Loading ................................................................................. 9 3.2. Overhanging Loads ......................................................................... 11 4. Results ................................................................................................... 12 5. Conclusions ........................................................................................... 13 6. References ............................................................................................. 14 7. Raw Notes ............................................................................................. 14 3
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1.1. General Background If a beam is supported at two points, and a load is applied anywhere on the beam, deformation will occur. When these loads are applied either longitudinally outside or inside of the supports, this elastic bending can be mathematically predicted based on
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