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Change in Shape of material fixed distance EXPERIMENT 3 sing Variation of deflection with beam section METHOD 1. Set the knife edges at 400mm apart (200mm each side of zero line) 2. Select the rectangular section aluminium beam (approx. 13.8 6.6mm section) and measure accurately the width and depth using a vernier caliper. Record the values in Table 3. 3. Load the beam in the apparatus with the 13mm side horizontal, zeroing the dial indicator as before. 4. Apply a 25N load and note the deflection in Table 3. 5. Calculate the value of I from the THEORY section, and note down the value in the table. 6. Calculate the mass per unit length as per the THEORY section, and note down the value in the table. - 7. Repeat steps 1 - 6 with the square solid section aluminium (approx. 9.5 x 9.5mm), and with the square hollow section (approx. 12.7 x 12.7mm). Note, for the hollow section record internal dimensions as b; and hi. Solid sections b;= 0, h = 0 In TABLE 3 Solid section bi and hi are zero Section Size mm 1 b b; h h; ; mº Rectangulat 13 66 O o M M Deflection у kg/m mm 0-23166 4 1.685 Oʻ2436 0.72 0.1969 0345 9.5 square 9.5 o 127 94 12 79.4 2039) Note: b; = Beam Internal width, m h; = Beam Internal depth, m - = Hollow section I = (bh - bih%)/12 mº M= p (bh - bih) kg/m p -27ook9m3 density for Aluminum P = Ilm
Repeat steps 1 - 6 in the METHOD section and RESULTS for the Aluminium beam. RESULTS Aluminium TABLE 1 Load, w N 0 Deflection, y mm 5 1.93 10 15 3.06 4:19 CUP Material: Aluminium Beam size (mm): 19:05 * 3.12 bxh b h Comment on Load-Deflection relationship: Calculate the value of Young's Modulus using the THEORY section: Published value of Young's Modulus: (See User Guide). Comment on possible errors in the experiment:
RESULTS constant Measusing deflection with Table 2 load by changing distancing Distance between knife edges, L L Deflection, y m 0.40 0.36 0.32 m. 0.064 0.0466 0:032768 0.021952 0.013824 8x10-3 mm 3.20 2,415 1.695 1:14 0.72 0.42 0.28 0.24 0.20 Material: Steel х Beam size: bx h 18 , 1 x 3.1 im mm b Comment on the relationship between length of the beam and deflection for a constant load.
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