- 1 Record The Dimensions Of Portal Frame Members And Calculate Their Second Moment Of Area In Table 1 1 Mark Table 1 (159.22 KiB) Viewed 30 times
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1. Record the dimensions of portal frame members and calculate their second moment of area in Table 1. (1 mark).< Table 1 Geometric properties Element Width, b Length, L (mm)< Uu Depth, d (or thickness) (mm) 1 = (mm²) (mm) (refer to Figure 2 124 in the handout) Beam 19,9 3.0 495 44.775 Column 19.9 3.0 250 44.775 2. Record the strain values at different levels of loading in Table 2. (1 mark).< E Table 2 Strain gauge and bending moment values Strain Load W (N) Calculated Gauge 0 1.962 3.924 Bending 0.981 2.943¹ 4.905 (100 g) (200 g) (300 g) (400 g) (500 g) Moment at Measured Strain (us)< W=4.905 N (Nm) -8 -16 -26 -34 -424 24 24 24 34 194 294 38 494 374 56 74 944 33 494 64 824 7e 94 124 15 -224 -34 -45 -58 -50 -734¹ -100-¹ -126 -494¹ -74 -98 -124 -21 -33 -43¹ -58 8 10 144 174 35 50 674 854 384 574 754 954 20 29 394 494 be 34 34 3 -16 -254 -334 14 2 24 J P 3 Q 4 54 2 6 74 J 8 P 9 2 10 114 2 124 A 13 14 15 2 16 Iol= ܕ1 10 194¹ 16 4 -114 -24 -24 -10 54 184 20 104 --9 42 2 2 J 2 23 2 1 12 P P e J 2 2 S 2 J 2 21 3 12 A 2 23 a J Scaled Bending Moment Values (cm)
3. Create a chart of strain (y-axis) against the load (x-axis) in graph paper. Add the results for all gauges (except 2 and 15, as they will be near zero). Confirm the relationship between the applied load and the strain gauge readings, is the relationship linear? (2 marks).< 4. At a load of 500g (4.905 N), use the strain gauge readings to manually calculate the bending moments at each point and record in Table 2. (1 mark).< Tips: You can use Excel spreadsheet for this calculation.< 5. Calculate and record the scaled bending moment values (in unit cm) in Table 2 and plot the results on the scale drawings (1 cm = 0.1 Nm) as provided in Appendix 1 to construct a bending moment diagram. (1 mark).< 6. By using the Moment Distribution Method, calculate the moments at the fixings and the corners of the portal frame for a load of 4.905 N. From these, calculate the horizontal reactions and the overall bending moment at the point of loading. (3 marks).< 7. Add the theoretical results to the diagram in Appendix 1 and confirm that the measured and calculated results and shape of the bending moment diagram are similar. Identify any potential sources of errors. (1 mark).<
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