CIVE 302 San Diego State University Tensile Testing of Steel Lab Report

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Nfu304

Engineering

CIVE 302

San Diego State University

CIVE

Description

I need a full lab report with graphs. I will include data and samples from the class. everything needed is attached. it is due by 8pm 09//17/2020

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Explanation & Answer

Attached.

1

Lab 1: Tensile Testing of Steel

Name
CIVE 302
09/19/2020

2

OBJECTIVE
This lab is to explore and to evaluate the material behavior for both ductile and the brittle steel.
All the desired material parameters are based on the observations gathered in this experiment.

THEORY
There are two types of axial force; tensile force and compressive force. Furthermore, specimens
do not directly react to forces themselves. An axial force triggers stresses and strains within a
material causing it to deform and/or rupture. Material performance is measured by stress in
materials. The formula to measure stress, in materials (σ), is measured by the force (F) being
applied, over the cross-sectional area it’s being applied (A).
𝜎=

𝐹
𝐴

Eq. 01

There are several ways to measure strain, but for this experiment, we used engineering strain
(ε). Engineering strain does not consider deformation of the material due to time. Strain is
defined is defined as the chance in overall length (ΔL) over the original length (L) of the item.
𝜀=

∆𝐿
𝐿

Eq. 02

The modulus of elasticity (E) relates stress and strain, and it is measured in psi or ksi. We use
the modulus of elasticity to determine the stress and strain in the plastic region of a material.
Eq. 03

𝜎 = 𝐸𝜀

To relate axial force (F) and displacement (Δx) to the measurement of stiffness of a material (K),
we will need the equation below.K is a constant and undergoes changes as a material crosses
it’s yield point. We will find this values by finding out the slope of the force-displacement curve.
Eq. 04

𝐹 = 𝐾∆𝑥

Strain ductility (εductility) measures how extensive a material will last in the plastic region until it
fails. Strain ductility is calculated by dividing the ultimate strain (εu) by the yield strain (εy).The
above equations will be used to help examine and depict materials under axial loading.

𝜀𝑑𝑢𝑐𝑡𝑖𝑙𝑖𝑡𝑦 =

𝜀𝑢
𝜀𝑦

Eq. 05

3

EXPERIMENTAL SETUP

Figure 1: Digital dial caliper

Figure 2: – Hot and cold rolled steel
coupons

We estimated displacement utilizing an extensometer and we place the wires in the focal point
of the test zone on the coupon that has been strung in the Tinius Olsen machine. In this lab we
use the displacement-controlled tension to quantify our materials in this trial. This machine was
worked with a 0.004 inch for every subsequent relocation control. For this analysis, we have to
two metal coupons.
The threaded portion has a more prominent breadth than districts, having width of roughly 0.5
inches. We utilized a computerized dial caliper as shown figure 1 to gauge the distance across
for the accuracy.

PROCEDURE
1.

Measure the distance across of the coupons and record the information.

2.

Turn on the Tensile Olsen machince and drift the table.

3.

Load the specimen by threading the coupon into the machine.

4.

Attach the extensometer to coupon.

6.

Zero out the power framework before the beginning the test.

7.

Run the test strategy.

4
8.

Pause the test and eliminate the extensometer once the ulimate tractable pressure is reached.

9.

Run until the coupon bursts.

10.

Stop the test and spare the information gathered.

11.

Repeat stages this by around 5-10 for the subsequent coupon

DATA
Given below are the two coupon sused in this lab such for the force-displacement data together
with each diameter values given per speciment and the gauge lengths.
Test Sample
CIVE 302 (Cold Rolled)

Thickness (in)
0.5065

Gauge Length (in)
1

CIVE 302 (Hot Rolled)

0.5040

1

Table 1: Values for diameter and gauge length for each specimen.

0.14
0.12

Force (lbs)

0.1
0.08
0.06
0.04
0.02
0
-0.02

0

Figure 3: Force-Displacement plot of CIVE 302 Cold rolled-formed coupon

Force (lbs)

5

Figure 4: Force-Displacement plot of CIVE 302 Hot rolled-formed coupon

CALCULATIONS
We have the calculation as shown below which is the slope of the force-displacement plot is
given (K). We have the slope of 0 for the tensile stress.
24000
22000
20000
18000

Force (lb)

16000
14000
12000
10000
8000
6000
4000
2000
0
0

0.005

0.01

0.015
0.02
0.025
Force vs Displacement

0.03
0.035
0.04
Member-End-Stiffness (K)

0.045

DIsplacement (in)

Figure 5: Force-Displacement plot of CIVE 302 Hot rolled-formed coupon

0.05

6

18000
16000
14000

Force (lb)

12000
10000
Force Displacemnt

8000

K Aprox.

6000
4000
2000
0
0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

0.2

Displacement (in)

Figure 6: Force-Displacement plot of CIVE 302 hot rolled-formed coupon

The first few calculations were used to help plot the stress vs. strain.

Stress vs. Strain: Cold Rolled Coupon
80
70

Stress (ksi)

60
50
40
30
20
10
0

0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

Strain (in/in)
Stress vs. Strain

Ultimate Stress

Hardening Strain

Yield Stress

Ultimate Strain

Yield Strain

Average Yield

Figure 7: Stress-strain plot of CIVE 302 cold rolled-formed coupon

0.18

7

Stress vs. Strain: Hot Rolled Coupon
60

Stress (ksi)

50
40

30
20
10
0
0

0.002

0.004

0.006

0.008

0.01

0.012

0.014

Strain (in/in)
Stress vs. Strain

Hardening Strain

Average Yield

Yield Stress

Yield Strain

Figure 8: Stress-strain plot of CIVE 302 hot rolled-formed coupon

On equation 03, it represents the modulus of elasticity with similarity on e plot (K).

Stress Strain Response

Stress (ksi)

120.000
110.000
100.000
90.000
80.000
70.000
60.000
50.000
40.000
30.000
20.000
10.000
0.000
0

0.001

0.002

0.003

0.004

0.005

Strain (in/in)
Stress vs Strain

Modulus od Elasticity

Figure 9: Demonstrates modulus of elasticity of CIVE 302 cold rolled-formed coupon

0.006

8

90

80

Stress (ksi)

70
60

Stress Strain
Response

50
40

Modulus of
Elasticity

30
20
10
0
0.00000

0.02000

0.04000

0.06000

0.08000

0.10000

0.12000

0.14000

0.16000

0.18000

0.20000

Strain (in/in)

Figure 10: The modulus of elasticity of CIVE 302 hot rolled-formed coupon

Stress Strain Response
120.000
110.000

Stress vs
Strain

100.000
90.000

).2% Offset

Stress (ksi)

80.000
70.000

Modulus
od
Elasticity

60.000
50.000
40.000

Yield Strain

30.000
20.000
Yield Stress

10.000

0.000
0

0.001

0.002

0.003

0.004

0.005

Strain (in/in)

Figure 11: The yield stress and strain of CIVE 302 cold rolled-formed coupon

0.006

9

90
80
70

Stress (ksi)

60

Stress Strain
Response
Modulus of
Elasticity
Yield Strain

50
40
30

Yield Stress

20
10
0
0.00000

0.02000

0.04000

0.06000

0.08000

Strain (in/in)

Figure 12: The yield stress and strain of CIVE 302 hot rolled-formed coupon

90
80

Stress (ksi)

70
60
50

Stress Strain
Response

40

Strain at First
Hardening

30
20

10
0
0.00000

0.01000

0.02000

0.03000

0.04000

Strain (in/in)

Figure 13: The at first hardening of CIVE 302 hot rolled-formed coupon

Experiment calculations
Required Calculations
Cross-sectional Area, Ai (in2)
Initial Stiffness, Ki (kips/in)
Ultimate Stiffness, Ku
(kips/in)

CIVE 302 (Cold Rolled)
0.2015
19004
0

CIVE 302 (Hot Rolled)
0.2015
10650
0

10

Modulus of Elasticity, E (ksi)
Yield Stress, 𝜎𝑦 (ksi)
Ultimate Stress, 𝜎𝑢 (ksi)
Yield Strain, 𝜀𝑦 (in/in)
Hardening Strain, 𝜀𝐻 (in/in)
Ultimate Strain, 𝜀𝑈 (in/in)
Strain Ductility
Modulus of Toughness (ksi)

30214
86
89.0144
0.00235
0.04365
10.001
3.236

29651
45
71.265
0.00058
0.0205
0.1789
114.2
11.59

Table 2: The calculation for the measurements examined.

Coupons
CIVE 302
(Cold Rolled)

CIVE 302
(Hot Rolled)

Required
Calculations
Modulus of
Elasticity, E (ksi)
Yield Stress (ksi)
Ultimate Stress
(ksi)
Modulus of
Elasticity, E (ksi)
Yield Stress (ksi)
Ultimate Stress
(ksi)

Theoretical

Experimental

% Difference

27854

35320

79%

50.3
60.3

85
91.02

59%
66%

27854

29301

15%

32.3
56-78.2

62.4
73.3

44%
-

Table 3: The comparison between theoretical and experimental data.

CONCLUSION AND DISCUSSION
two tested specimens (CIVE 302 for Thursday and Tuesday) have clear contrasts. The hot rolled
steel is shaped while the still is hot causing less interior pressure, be that as it may, the cold
rolled steel is opposite. The cold rolled steel, CIVE 302, is more flexible than the other coupon
on knowing that the CIVE 302 cold rolled steel has ultimate load was reached. We can see that
the hot rolled steel has a higher extreme concern than the cold, which shows that the hot is
more pliable than the cold rolled steel. The cold can uphold a bigger burden than the hot one
and implying that the hot specimen can uphold bigger loads without never-ending
deformations.

You can reach inferences about the firmness of each coupons by observing their modulus of
flexibility for every specimen. The modulus of elasticity for the cold is somewhat higher than
that of the hot rolled steel, implying that the solidness of the hot specimen is lower than that of
the cold rolled steel. This shows that both of these properties are firmly identified with each
other. The modulus of durability is typically spoken to by the region under the pressure strain

11

curve and is characterized as the capacity to retain versatile and plastic vitality of an specimen
before burst. In this trial the hot specimen had a more prominent modulus in view of the low
inner concerns of the steel. The cold one can't retain as much plastic stacking making the steel
break sooner. Besides, this causes a lower break strain, which thus cause a lower modulus of
sturdiness..

References

12

MatWeb- AISI C1018 Steel, cold drawn. (n.d.). Retrieved September 29, 2018 from
http://www.matweb.com/search/datasheet_print.aspx?matguid=3a9cc570fbb24d119f08db22
a53e2421
MatWeb- ASTM A36 steel, hot drawn. (n.d.). Retrieved September 29, 2018 from
http://www.matweb.com/search/datasheet_print.aspx?matguid=d1844977c5c8440cb9a3a967
f8909c3a
Johnson, T. (n.d.). Sample Lab Report. Retrieved September 24, 2018 from
https://blackboard.sdsu.edu/bbcswebdav/pid-4403371-dt-content-rid83946503_1/courses/CIV_E302-05-Fall2018/Sample%20Lab%20Report.pdf


Date

Time
9/1/2020

Diamter (in)
Area (in^2):
Gage Len (in):
TIME (min)

Specimen#
11:41:07
0.5065
0.2015
1

LOAD (lb)
15
23
36
54
69
91
112
118
126
133
139
147
148
154
158
165
169
176
179
185
191
197
201
206
213
218
221
231
235
243
248
253
259
269
273
277
287
294

1

0
0
0
0
0
-0.00001
-0.00001
-0.00001
0
0
-0.00001
-0.00001
-0.00001
0
-0.00001
-0.00001
-0.00001
-0.00001
-0.00001
-0.00001
0
0
0
0
0
0.00001
0.00001
0.00001
0
0.00001
0
0.00001
0.00001
0.00001
0.00001
0.00001
0.00001
0.00001

DISPLACEMENT (in) Strain (in/in)
0
0
0
0
0.00001
0.00001
0.00001
0.00001
0.00001
0.00001
0.00001
0.00001
0.00002
0.00002
0.00002
0.00002
0.00002
0.00002
0.00003
0.00003
0.00003
0.00003
0.00003
0.00003
0.00003
0.00003
0.00004
0.00004
0.00004
0.00004
0.00005
0.00005
0.00005
0.00005
0.00006
0.00006
0.00007
0.00007
0.00007
0.00007
0.00007
0.00007
0.00007
0.00007
0.00008
0.00008
0.00008
0.00008
0.00008
0.00008
0.00009
0.00009
0.00009
0.00009
0.0001
0.0001
0.00009
0.00009
0.0001
0.0001
0.0001
0.0001
0.00011
0.00011
0.00011
0.00011
0.00011
0.00011
0.00012
0.00012
0.00012
0.00012
0.00012
0.00012
0.00013
0.00013

avg stress
48.79244745 11.15737784
Stress (ksi)
MoT (ksi)
0.074441687
0
0.114143921
0
0.17866005 1.46402E-06
0.267990074
0
0.342431762
0
0.451612903
0
0.555831266 5.03722E-06
0.58560794
0
0.625310174
0
0.660049628
6.4268E-06
0.689826303
0
0.729528536
0
0.734491315
0
0.76426799
7.4938E-06
0.784119107
0
0.818858561 8.01489E-06
0.838709677
0
0.873449132 8.56079E-06
0.888337469 8.80893E-06
0.918114144
0
0.947890819
0
0.977667494
0
0.99751861 9.87593E-06
1.022332506
0
1.05707196
0
1.081885856 1.06948E-05
1.096774194
0
1.146401985 1.12159E-05
1.166253102 -1.15633E-05
1.205955335
1.1861E-05
1.230769231
0
1.255583127 1.24318E-05
1.285359801
0
1.334987593
0
1.35483871 1.34491E-05
1.374689826
0
1.424317618
0
1.459057072 1.44169E-05

303
308
317
325
329
340
348
356
367
375
384
395
405
413
423
429
439
447
461
470
477
485
501
508
514
529
542
549
562
568
578
591
604
612
621
631
642
650
665
673
689
699
711
717
728
745
755

0.00001
0.00002
0.00001
0.00002
0.00002
0.00002
0.00002
0.00002
0.00003
0.00002
0.00003
0.00003
0.00003
0.00002
0.00002
0.00002
0.00003
0.00003
0.00003
0.00004
0.00003
0.00004
0.00005
0.00004
0.00004
0.00005
0.00004
0.00005
0.00005
0.00005
0.00004
0.00005
0.00005
0.00006
0.00005
0.00005
0.00006
0.00006
0.00006
0.00007
0.00006
0.00006
0.00006
0.00006
0.00007
0.00007
0.00008

0.00014
0.00014
0.00014
0.00015
0.00015
0.00015
0.00015
0.00016
0.00017
0.00018
0.00018
0.00017
0.00018
0.00019
0.00019
0.0002
0.0002
0.00021
0.00021
0.00021
0.00022
0.00022
0.00022
0.00022
0.00023
0.00023
0.00024
0.00025
0.00025
0.00025
0.00026
0.00025
0.00025
0.00026
0.00027
0.00027
0.00027
0.00027
0.00029
0.00028
0.00029
0.00029
0.0003
0.0003
0.0003
0.0003
0.00031

0.00014
0.00014
0.00014
0.00015
0.00015
0.00015
0.00015
0.00016
0.00017
0.00018
0.00018
0.00017
0.00018
0.00019
0.00019
0.0002
0.0002
0.00021
0.00021
0.00021
0.00022
0.00022
0.00022
0.00022
0.00023
0.00023
0.00024
0.00025
0.00025
0.00025
0.00026
0.00025
0.00025
0.00026
0.00027
0.00027
0.00027
0.00027
0.00029
0.00028
0.00029
0.00029
0.0003
0.0003
0.0003
0.0003
0.00031

1.503722084
1.52853598
1.573200993
1.612903226
1.632754342
1.687344913
1.727047146
1.76674938
1.82133995
1.861042184
1.905707196
1.960297767
2.009925558
2.049627792
2.099255583
2.129032258
2.17866005
2.218362283
2.287841191
2.332506203
2.367245658
2.406947891
2.486352357
2.521091811
2.550868486
2.625310174
2.689826303
2.724565757
2.789081886
2.818858561
2.868486352
2.933002481
2.99751861
3.037220844
3.081885856
3.131513648
3.186104218
3.225806452
3.300248139
3.339950372
3.419354839
3.46898263
3.52853598
3.558312655
3.612903226
3.697270471
3.746898263

1.48139E-05
0
0
1.59305E-05
0
0
0
1.7469E-05
1.79404E-05
1.84119E-05
0
-1.933E-05
1.98511E-05
2.02978E-05
0
2.11414E-05
0
2.19851E-05
0
0
2.34988E-05
0
0
0
2.53598E-05
0
2.65757E-05
2.7072E-05
0
0
2.84367E-05
-2.90074E-05
0
3.01737E-05
3.05955E-05
0
0
0
6.52605E-05
-3.3201E-05
3.37965E-05
0
3.49876E-05
0
0
0
3.72208E-05

769
779
790
804
813
827
835
854
865
877
891
902
915
922
934
948
961
976
983
998
1009
1022
1031
1039
1056
1069
1078
1087
1100
1109
1126
1133
1147
1156
1166
1180
1191
1202
1214
1229
1238
1251
1263
1275
1286
1301
1310

0.00008
0.00008
0.00007
0.00009
0.00009
0.00009
0.00008
0.00009
0.00009
0.00009
0.0001
0.00009
0.0001
0.0001
0.0001
0.0001
0.00011
0.0001
0.00011
0.00011
0.00011
0.00011
0.00011
0.00012
0.00012
0.00012
0.00013
0.00012
0.00012
0.00012
0.00014
0.00013
0.00013
0.00012
0.00013
0.00013
0.00014
0.00013
0.00014
0.00014
0.00014
0.00015
0.00015
0.00015
0.00016
0.00015
0.00015

0.00031
0.00032
0.00032
0.00032
0.00033
0.00032
0.00033
0.00034
0.00034
0.00034
0.00034
0.00035
0.00035
0.00035
0.00036
0.00036
0.00035
0.00037
0.00037
0.00037
0.00038
0.00038
0.00038
0.00039
0.00039
0.00038
0.00039
0.0004
0.0004
0.0004
0.0004
0.00041
0.00041
0.00041
0.00042
0.00042
0.00042
0.00042
0.00042
0.00043
0.00044
0.00044
0.00044
0.00044
0.00044
0.00045
0.00045

0.00031
0.00032
0.00032
0.00032
0.00033
0.00032
0.00033
0.00034
0.00034
0.00034
0.00034
0.00035
0.00035
0.00035
0.00036
0.00036
0.00035
0.00037
0.00037
0.00037
0.00038
0.00038
0.00038
0.00039
0.00039
0.00038
0.00039
0.0004
0.0004
0.0004
0.0004
0.00041
0.00041
0.00041
0.00042
0.00042
0.00042
0.00042
0.00042
0.00043
0.00044
0.00044
0.00044
0.00044
0.00044
0.00045
0.00045

3.816377171
3.866004963
3.920595533
3.990074442
4.034739454
4.104218362
4.143920596
4.2382134
4.29280397
4.35235732
4.421836228
4.476426799
4.540942928
4.575682382
4.635235732
4.70471464
4.769230769
4.843672457
4.878411911
4.952853598
5.007444169
5.071960298
5.11662531
5.156327543
5.240694789
5.305210918
5.349875931
5.394540943
5.459057072
5.503722084
5.58808933
5.622828784
5.692307692
5.736972705
5.786600496
5.856079404
5.910669975
5.965260546
6.024813896
6.099255583
6.143920596
6.208436725
6.267990074
6.327543424
6.382133995
6.456575682
6.501240695

0
3.84119E-05
0
0
4.01241E-05
-4.06948E-05
4.12407E-05
4.19107E-05
0
0
0
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Anonymous
Great content here. Definitely a returning customer.

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