# Solid Beams Lab Report

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Abstract The main aim of this experiment was to explore the properties of 6 different types of Cantilever Beams provided to us. 3 Hollow and 3 Solid beams were provided to us, and they were loaded with weights, to note the deflection produced. The first Experiment showed the linear relationship between Deflection and Load of the Solid Beams. The second Experiment showed a linear relationship between Mean Stiffness and Diameter of the Solid Beams. Experiment 3 was carried out to prove the linear relationship between stiffness, specific stiffness and diameter. The 4th experiment showed the Inverse relationship between Stiffness and (Length) 3 whereas the 5th experiment proved the relationship between Deflection and the Length of the Beams.…show more content…
Step by step Loading was done so as to avoid Plastic Deformation. Experiment 2 This only involved Solid beams and a graph was plotted after calculating Mean Stiffness. Mean Stiffness vs Diameter was plotted. Mean Stiffness = (Total sum of Stiffness for the beam) / (No. of readings taken)………… (3) Experiment 3 In this experiment, Stiffness and Specific stiffness was compared to Diameter for both Hollow and Solid Cylinders. Specific stiffness = Stiffness/ Mass ……… (4) Experiment 4 This experiment was carried out to find out whether Stiffness is inversely proportional to Length3. Beams 3 and 4 were used for this experiment. Experiment 5 Load was applied to different parts of the Beam, and then the Deflections were noted. The setup in Figure 2 was used. Results Minimum and Maximum stiffness was calculated for each beam because of a very minimal error of ±0.00025. Experiment 1 Beam One Table no. 2 : Showing Calculations for Beam 1 Mass used (Kg) Load (N) Deflection (m) S (N/m) Minimum S (N/m) Maximum S (N/m) 0.2 0.91 0.091 10.77 10.74 10.8 0.4 1.68 0.168 11.67 11.65 11.68 0.6 2.51 0.251 11.71 11.7…show more content…
3 Mass used (Kg) Load (N) Deflection (m) S (N/m) Minimum S (N/m) Maximum S (N/m) 0.1 0.98 0.063 15.56 15.49 15.62 0.2 1.96 0.132 14.85 14.82 14.88 0.3 2.94 0.185 15.89 15.87 15.91 Beam Three Table no. 4- Calculations for Beam 3 Mass used (Kg) Load (N) Deflection (m) S (N/m) Minimum S (N/m) Maximum S (N/m) 0.1 0.98 0.035 28 27.8 28.2 0.2 1.96 0.063 31.11 30.99 31.24 0.3 2.94 0.115 25.57 25.51 25.62 Beam Four Table no. 5 – Calculations for Beam 4 Mass used (Kg) Load (N) Deflection (m) S (N/m) Minimum S (N/m) Maximum S (N/m) 0.1 0.98 0.025 39.2 38.81 39.6 0.2 1.96 0.038 51.58 51.24 51.92 0.3 2.94 0.066 44.55 44.38 44.71 Beam Five Table no. 5 – Calculations for Beam 5 Mass used (Kg) Load (N) Deflection (m) S (N/m) Minimum S (N/m) Maximum S (N/m) 0.1 0.98 0.018 54.44 53.7 55.21 0.2 1.96 0.033 59.39 58.95 59.85 0.3 2.94 0.056 52.5 52.27 52.74 Beam Six Table no. 7: Calculations for Beam 6 Mass used (Kg) Load (N) Deflection (m) S (N/m) Minimum S (N/m) Maximum S (N/m) 0.1 0.98 0.015 65.33 64.26 66.44 0.2 1.96 0.02 98 96.79 99.24 0.3 2.94 0.044 66.82 66.44 67.2 Experiment 2 Table no. 8: Values for Beam 1, 4 and 6 Beam Mean Stiffness (N/m) Diameter (m) Error