Lab 2 - ` Bicycle Frame Analysis of Structure by Patrick...

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` Bicycle Frame Analysis of Structure by Patrick McAdams Laboratory Section AA, Tuesday 2:30 p.m., January 16, 2007 Daniel Flores Date of Laboratory: January 23, 2007 Report Submitted to: Jiangyu Li EXECUTIVE SUMMARY A structural analysis of a K2 bicycle frame was performed using three methods: analytical, experimental, and numerical. The analytical method was done using a truss analysis. The experimental was done through the application of 12 strain gages used to measure strain on members of the bicycle frame under varying given applied loads. From the values measured, forces, stresses, and strains were calculated using material properties and geometry. The numerical method was done using finite element analysis in two ways: as a 2-dimensional structure and as a beam structure. The analytical method proved to be too simple a model as it only found axial stress, when we found there to be bending stress in our other two analyses. The errors for stress analysis were nearly 40% in one case. Displacement was found experimentally using a displacement gage, but it was determined that this value was too high as the linear trend line had an exceptionally large y-intercept. Once this value was resolved, comparison to the other methods found the analytical method to have an error around 50%, while the numerical method had errors of roughly 26% and 4%. It was found from these analyses that the front fork would fail first by buckling under compression should the bicycle continue to be loaded with more and more force. The maximum force the fork could handle was determined to be around 119 kN. It was concluded that in the future, strain rosettes should be used to ensure that the strains were measured longitudinally along the members. It was also suggested that further analysis of bicycles be done on bicycles with varying materials, geometries, and loads to examine how other factors may play a part in the stresses, strains, and displacements.
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OBJECTIVES Structural analysis is a very important aspect of mechanical engineering. It allows for the figuring out of failure and deformation in structures. These structures come in all shapes and sizes. The analysis of structure can be done analytically, numerically, and experimentally. This lab will incorporate all three of these analysis methods to analyze a K2 bicycle. The analytical approach will look at the bicycle as a truss structure, taking each member of the bicycle to be members in a truss. That is, each member is pinned at either end and assumed to carry a shear force or bending moment. This is assumed because each member of a bicycle is slender and attached to another tube at the end. This is not exactly a truss structure, but it will be used to model the bicycle for stress and strain and will be a decent approximation of forces within each member. The experimental approach uses strain rosettes to measure the strains in members as many
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Lab 2 - ` Bicycle Frame Analysis of Structure by Patrick...

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