Title :Bending of beam and coefficient of elasticity.
Objective : To study the relationship between load, span, width, height and deflection of a beam, places on two bearers and affected by a concentrated load at the centre. :To ascertain the coefficient of elasticity for aluminium, brass and steel.
Results :
Measurement of test specimen (a) For beam material – Steel | Length, L (mm) | Thickness, h (mm) | Width, b (mm) | 1st reading | 650 | 3.15 | 18.97 | 2nd reading | 650 | 3.11 | 19.03 | 3rd reading | 650 | 3.12 | 18.97 | Average reading | 650 | 3.13 | 18.99 |
(b) For beam material – Aluminium | Length, L (mm) | Thickness, h (mm) | Width, b (mm) | 1st reading | 650 | 3.25 | 19.15 | 2nd reading | 650 | 3.21 | 19.23 | 3rd reading | 650 | 3.21 | 19.18 | Average reading | 650 | 3.22 | 19.19 |
(c) For beam material – Brass | Length, L (mm) | Thickness, h (mm) | Width, b (mm) | 1st reading | 650 | 3.31 | 19.05 | 2nd reading | 650 | 3.34 | 19.20 | 3rd reading | 650 | 3.35 | 19.09 | Average reading | 650 | 3.33 | 19.11 |
Two simple supports end. (a) Deflection of test specimen [ Beam material-Steel ]
Mass(gram) | Load (N) | Deflection #1 (mm) | Deflection #2 (mm) | Deflection #3 (mm) | Average Deflection (mm) | 100 | 0.981 | 0.35 | 0.45 | 0.48 | 0.43 | 200 | 1.96 | 0.85 | 0.88 | 0.85 | 0.86 | 300 | 2.94 | 1.30 | 1.32 | 1.38 | 1.33 | 400 | 3.92 | 1.74 | 1.80 | 1.81 | 1.78 | 500 | 4.91 | 2.20 | 2.24 | 2.25 | 2.23 |
(b) Deflection of test specimen [ Beam material-Aluminium ]
Mass(gram) | Load (N) | Deflection #1 (mm) | Deflection #2 (mm) | Deflection #3 (mm) | Average Deflection (mm) | 100 | 0.981 | 1.18 | 1.15 | 1.16 | 1.16 | 200 | 1.96 | 2.43 | 2.54 | 2.40 | 2.46 | 300 | 2.94 | 3.72 | 3.67 | 3.72 | 3.70 | 400 | 3.92 | 4.98 | 5.08 | 5.10 | 5.05 | 500 | 4.91 | 6.07 | 6.20 | 6.15 | 6.14 |
(c) Deflection of test specimen [ Beam