Beam Deflection Essay

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Abstract:

Beam deflections are important characteristics that can be shown by a loaded beam. Both cantilever beam and the simple beam were made of steel. The theory of deflection plays important roles in determination of modulus of elasticity because the relevant equations were applied in excel for purposes of getting the values. Engineers must understand beams from a theoretical perspective to enhance the safety of the designed structures. There are several aspects of the beams that were studied in the experiment. These elements include: moment of inertia, the length of the beam and cross section width. After conducting the experiment, we realized that the deflection of the beam increased as the load was increased. Maxwell theorem and …show more content…

The height of the beam was determined for purposes of calculating the moment of inertia. Maximum permissible loads were calculated for quarter span and Midspan. The beam was loaded at the midspan in 5lb and increments done until the maximum limit was reached and the deflection recorded. The procedure was repeated for quarter span. The beam dimensions were recorded and the area moment of inertia determined. The safe loads at the mid-span and at the end of cantilever were calculated and the beam was loaded with 2lb at the mid span until the maximum load limit was attained. Deflection was determined at each point of increment. The procedure was repeated in a free end beam. A convenient reference point on the beam was chosen for deflection measurements. A single concentrated load was placed at some point and the deflection determined. The first load was removed and a second load placed at a different point and deflection determined. Both loads were applied simultaneously and the resulting deflection determined. Two non-symmetrical reference points were chosen on the beam and concentrated load (P1) applied at one point at deflection determined. The load was removed from the first reference point and a different load placed at a second reference

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