The document provides instructions to create a stress-strain diagram for a material sample with given data. Formulas are provided to calculate engineering strain, engineering stress, proportional limit, modulus of elasticity, ultimate strength and yield point at 0.2% offset from the load, deformation, area and original length and diameter data. A stress-strain diagram is to be plotted showing the elastic region, 2% offset lines, and values for proportional limit, modulus of elasticity, yield strength and ultimate strength identified.

1. PROJECT OVERVIEW:
Create another generalized Excel file to calculate material properties and construct a
Stress-Strain. Add the 0.2% Offset line to the chart. The given data is in the yellow cells
below.
Formulas used:
A =
πd2
4
ε =
δ
𝐿 𝑜
σ =
F
𝐴 𝑜
E =
𝜎 𝑝𝑙
𝜀 𝑝𝑙
Proportional limit = is when the strain and the stress are directly portioned to each other
To change to KN to MPa multiply by 1000
Strain (2% offset) = Strain before * incr.
Stress (2% offset) = incr. * E + Stress before
Find:
Strain (engineering strain) (ε)
Engineering stress (σ)
Proportional limit 𝜎 𝑝𝑙
Modulus of Elasticity (E)
Ultimate Strength 𝜎 𝑢
Yield point at 0.2% offset 𝜎 𝑦

2. Units
Input data / information mm
gauge L orig dia area 1/area
40 10 78.5398 0.013
mm mm sq mm
1 / sq
mm
Table of calculations incr.
KN mm mm/mm Mpa Mpa 0.0005
Load Deformation strain
all stress
values
elastic
region
Strain
(2%
offset)
Stress
(2%
offset)
0.00 0.0000 0.00000 0 0 0.00200 0
2.00 0.0148 0.00037 25 25 0.0025 34
4.00 0.0296 0.00074 51 51 0.0030 68
6.00 0.0444 0.00111 76 76 0.0035 102
8.00 0.0592 0.00148 102 102 0.0040 136
10.00 0.0740 0.00185 127 127 0.0045 170
12.00 0.0892 0.00223 153 153 0.0050 204
14.00 0.1048 0.00262 178 178 0.0055 238
16.00 0.1236 0.00309 204 204 0.0060 272
18.00 0.1500 0.00375 229 229 0.0065 306
20.00 0.1976 0.00494 255 255 0.0070 340
22.00 0.2889 0.00722 280 280 0.0075 374
24.00 0.4844 0.01211 306 306 0.0080 408
26.00 0.8652 0.02163 331 331 0.0085 442
28.00 1.6408 0.04102 357 357 0.0090 476
30.00 3.0428 0.07607 382 382 NOTE: 0.0005 because of the offset
32.00 5.6880 0.14220 407 407
NOTE: 0.05 comes from the
secondary x-axis
34.00 10.1200 0.25300 433 433
35.20 448 448 y=mx+b
Plot on
secondary
axes
Plot on
primary
axes

3. Material Properties
a) Proportional Limit 178.0 MPa
b) Modulus of Elasticity 68,036 MPa
c) YS at 0.2% offset 272.0 MPa
d) Ultimate strength 448.0 MPa
0
76
127
153
178
280
0
68
170
238
272
340
374
408
0
76
127
178
204
229
255
407
433
0
50
100
150
200
250
300
350
400
450
500
0.00000 0.05000 0.10000 0.15000 0.20000 0.25000 0.30000
0
100
200
300
400
500
600
0.000 0.001 0.002 0.003 0.004 0.005 0.006 0.007 0.008
Stress(MPa)[ElasticRegion]
Strain (mm/mm) [Elastic Region]
Stress-Strain Diagram (steel)
Elastic Region
2% offset
All stress values