ANALYSIS AND EXPERIMENTAL VERIFICATION OF BEAM DEFLECTION UNDER FIXED ENDS CONDITIONS AND CANTILEVER BEAM SUPPORTING VARIOUS LOADING COMBINATIONS (DISTRIBUTED LOADS, POINT LOADS AND COUPLES)

ABSTRACT

The main objective of this project was to analyze and experimentally verify beam deflections. The beam was subjected to two different end conditions namely, Fixed end and conditions. Different loading situations were applied to the beams under these end conditions. The loading situations included; point loads, point loads and couple, distributed loads and a combination of the three.

The process of verification involved calculation of the theoretical values of deflections using the different derived formulae of deflection. The experimental values of were taken from dial gauge readings and converted to the required units (meters). The two sets of results were then tabulated alongside each and compared. Graphs of load against deflection were plotted to aid with the comparison and analysis.

From the results obtained, the experimental and theoretical values of deflection showed good correlation but for a few discrepancies. These little errors were a result of errors from the experiments carried out which include; assumption that that the point load and couple acted at a point, human errors in taking of the readings and propagation of these errors in calculations among others.

The project was a success. The objectives set out were achieved. At the end of the project recommendations on how to improve the experiments carried out.