Derived Data and Discussion
Stress-Strain Curve
Stress-Strain Curve
450
400
350
300
Stress (MPa)
250
200
150
100
50
0
0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4
Strain
Sample Calculations for Strain and Stress
F = 25.75KN = 25750MN; l = 62.6872mm
Stress Strain
25750 kN
σ= 62.6872mm−50.8 mm
π ε=
(9.11 mm)2 50.6 mm
4
σ =395.0487 MPa ε =0. 234
Yield Strength (using 2% offset method)
293.4866 MPa
Solution:
Proportional Limit = 293.4866 MPa
293.4866 MPa
Elastic Modulus = =200935.6429 MPa
0.0014606
Offset Strain: Offset Stress:
ε 0.2=ε × 0.00 2 σ 0.2=E × ε
0.002 0
0.0025 100.467821
0.0030197 204.894075
0.0034606 293.4866
Ultimate Tensile Strength
395.0487 MPa
Fracture Strength
266.7921 MPa
Elastic Modulus
Formula:
σ
E=
ε
= 293.4866 MPa; = 0.0014606
293.4866 MPa
E=
0. 0014606
E=200935.6429 MPa
Total Elongation experienced by the material before it fractures
Fl
∆ l=
AE
50.8 mm
∆ l=(395.0487 MPa)
200935.6429 MPa
∆ l=0.09988 mm
Length of the material right before fracture
l=∆ l+l 0
l=0.09988+ 50.8mm
l=50.8999 mm