Data Analysis

Using the data given on the Excel sheet find the followings:
Sample 1 : % 0.4 Carbon Steel, oil Quenched
Initial or original Length of the sample = 33.81 mm
Final length of the sample after fracture = 35.15 mm
Initial or original diameter of the sample = 3.58 mm
Final diameter of the sample after fracture = 3 mm
Force (KN) Displacement (mm)
0 0
6.7 0.53
10.5 0.78
12.3 0.94
13.5 1.1
14.3 1.28
14.8 1.52
14.8 1.78
13.8 2.1
Sample 2: Aluminium alloy
solution treated at 505 centigrade – water quenched and aged at 185 for 6
hours
Initial length of the sample = 37.30 mm
Final length of the sample = 40.38
Initial diameter of the sample = 5.03
Final diameter of the sample = 4.14 mm
Force (KN)

Displacement (mm)
0 0
5.1 0.51
5.4 0.88
5.5 1.28
5.5 1.73
5 2.27
Sample 3: Brass (60% Copper- 40% Zinc) – Cold Worked and annealed
Initial length of the sample = 36.32 mm
Final length of the sample = 49.98 mm
Intitial Diameter of the sample = 3.8 mm
Final Diameter of the sample = 3.28
Force (KN) Displacement (mm)
0 0
2.3 1.85
3.9 4.5
4.6 6.5
4.7 6.85
4.9 7.2
4.9 7.9
5 8.4
5.1 8.7
5.1 9.3
5.2 9.73
5.2 10.3
5.2 10.8
5.2 11.3
5.2 11.8
5.1 12.3
5 12.7
4.1 13.5

1. Draw force-displacement diagrams for all four samples
   on EXCEL
   sheet
2. Calculate engineering stress and strain for all samples
   and draw the stress-strain diagrams for all four samples
   on one EXCEL sheet
   σ = F / A
   σ is the engineering stress in (MPa)
   F is the force in (KN)
   A is the cross sectional area of the sample = πd²/ 4
   Ɛ = (lf – l0) / l0
   Ɛ is the engineering strain (no unit)
   l0 is the original length of the sample in (mm)
   lf is the final length of the sample in (mm)
3. On the stress- strain diagrams for all samples show:
   2.1 Yield point
   2.2 Ultimate tensile stress
   2.3 Breaking stress
   2.4 Toughness
   2.5 Elastic region
4. Calculate modulus f elasticity, percentage elongation
   (%EL) and percentage reduction in area (%RA)
   % EL = (lf – l0) / l0 % RA = (A0 – Af) / A0