Lab Report Deflection Of Curved Beams

Page 1 of 5 PRACTICAL WORK 2: DEFLECTION OF CURVED BEAMS 1. Aims of the experiment The aims of this experiment are: i. To familiarize with circular, semi-circle and quarter or quadrant curved beams ii. To introduce the statement of Castigliano first theorem iii. To use experimental and analytical methods for determining the horizontal and vertical deflections of a curved beam subjected to a vertical point load iv. To compare experimental and analytical results and draw useful conclusions (To re-type and format, the above text as it is. To copy and paste is not allowed!) (5 Marks) 2. Used apparatus and experimental setup Figure 1 is a picture of the used apparatus with dial gauges and three curved beams. Figure 1: The used apparatus for measurement of the deflection of curved beam Not exceeding a text of 200 words, provide a short description of the above experimental setup. (10 Marks)Page 2 of 5 3. Theoretical background With the support of a simple illustrative sketch, provide the statement and the corresponding mathematical expression of Castiglianos first theorem. (5 Marks) 4. Experimental data Two curved beams namely Quarter circle (Quadrant beam) and Semi-circle beams are considered in this experiment. Both beams have