file Lab 3 - Pure Bending Test
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Course
MECH 237
Subject
Mechanical Engineering
Date
Dec 6, 2023
Type
xlsx
Pages
5
Uploaded by DeanLemur3751
Strain Measurements at Applied Load P during L
Loading (lb)
2000
4000
6000
4000
8.08
1
-223
-447
-667
-452
6.69
2
-150
-266
-416
-263
5.93
3
-111
-220
-329
-223
5.12
4
-70
-138
-204
-137
4.5
5
-41
-79
-111
-80
3.77
6
7
11
20
14
3
7
49
101
149
98
2.18
8
95
189
279
189
1.4
9
134
268
401
266
0.4
10
210
418
625
422
0.136
0.269
0.402
0.272
Constants
Theoretical Microstrain
a (in)
48
Load
Moment
57.6
P
M=P*a
Mc/I
Mc/EI
depth (in)
8
(lb)
lb*in
(psi)
(in/in)
c (in)
4
2000
96000
6666.666666667
0.00022989
E (psi)
29000000
4000
192000
13333.33333333
0.00045977
L (in)
150.75
6000
288000
20000
0.00068966
Elevation of Strain Gauge [in.]
Unit: micro-
strain+C:C ( x 10⁻⁶ in./in.)+J4
Measured Deflection (in)
Theoretical Stress
Theoretical Strain
I (in
4
)
Note: You are expected to plot five charts (below shows two
Specifically, three charts for loads of 2000 lbs, 4000 lbs, and
unloading phase. The linear regression is performed for the
Loading and Unloading Phases
Load
Midspa
Unloading (lb)
P
Theoretical
2000
0
(lb)
(in)
-227
-6
2000
0.141
-107
32
4000
0.282
-114
-8
6000
0.423
-71
-3
4000
0.282
-46
-11
2000
0.141
3
-7
0
0.000
52
-4
93
-9
128
-11
213
-7
0.139
0.00
229.8850575
459.7701149
689.6551724
Unit: micro-strain ( x 10⁻⁶ in./in.)
Note:
The table on the left may help you plot the theoretical strain distribution under each load during both the loading and unloading phases.
Strain to Microstrain (10
6
)
(10
-6
in/in)
o example charts) to compare the theoretical and experimental strain distributions. d 6000 lbs during the loading phase; two charts for 4000 lbs and 2000 lbs during the e experimental strain data.
an deflection
Error rate
Measured
(in)
(%)
0.136
3.68
0.269
4.94
0.402
5.22
0.272
3.79
0.139
1.44
0.00
0.00
average
3.81
standard deviation
1.89
Note:
This table is for you to tabulate the theoretical midspan defection and perform error analysis for defection measurements.
0
2
4
6
8
10
-250
-200
-150
-100
-50
0
50
100
150
200
250
7
f(x) = 44.3636363636364 x − 254
R² = 0.992111235906375
Chart Title
Axis Title
Axis Title
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Related Questions
The stress-strain diagram of a reinforcement steel having a cross-sectional diameter of 12 mm diameter and 100 mm gage length is determined after its tensile strength test as follows. Based on the stressstrain diagram determine the followings properties of the material (Poisson’s ratio of the material is 0.32) :
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An aluminum alloy bar of square cross
Stress (MPa)
Strain
section (13 mm x 13 mm) is loaded in
55
0.0006
0.0015
tension by axial forces P.
117
186
0.0024
Stress-strain data obtained from a
241
296
0.0032
0.0040
tension test of the same alloy are
345
0.0046
0.0052
0.0058
0.0062
listed in the table.
400
427
441
(a) What is the modulus of elasticity
448
0.0065
E of the aluminum?
0.0073
0.0081
461
469
(b) What is the maximum load P if the
stress in the bar is not to exceed the
proportional limit?
arrow_forward
Stress Vs Strain on Aluminium
120.00
100.00
80.00
60.00
40.00
20.00
0.00
-20.00
-40.00
Strain (mm/mm)
Stress (MPa)
0000'0
0.0105
0.0211
0.0316
0.0422
0.0527
0.0633
0.0738
.0854
0.0855
0.0856
6.0857
arrow_forward
1. A cylindrical specimen of a metal object with a radius of 3.8E-2 m and a gauge
length of 20.31 mm is pulled in tension. Use the load-elongation characteristics
tabulated below to answer the following questions;
Load Length
(N)
(mm)
20.31
20.38
12
20.45
18
20.51
24
20.55
30
20.61
36
20.64
42.8
20.68
48.9
20.72
55.2
20.76
60
20.79
65.8
20.84
70.7
20.87
77.3
20.93
83.1 20.98
88.6
22.15
91.58
23.24
91.68 25.41
0
6
Change
in
length
Length (x10-2 m) (m)
Computed strain Computed stress (N/m²)
(a) Compute the cross-sectional area of brass.
(3
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In a tensile test of stainless steel, the following data were obtained:
Load (N) 7,200 11,250 13.500 16,200 18.900
Elongation (mm) 0.0 0.505 2.03 5.08
20,200
15.24
20,700 13,200
24.90
10.16
21.80
The dimensions of the cylindrical specimen were initial length L₁ = 50.8 mm and initial arca A₁ - 35.8 mm²
and the area at fracture was Ar 10.0 mm².
Plot the stress-strain diagram and determine the following:
a) Modulus of elasticity
b) The yield strength at a strain offset of 0.002
c) Ultimate strength
d) Fracture strength
arrow_forward
I have plotted stress strain curve as shown in attached pictures.
I want to know that:
What does the slope represent and what does it indicate?
Can you find what is the material used? How to find it?
arrow_forward
A specimen with cylindrical shape was subjected to tensile test. Please plot the stress vs.
strain curve for the specimen and calculate Young's modulus.
Diameter of test specimen, do = 11.600 mm
Length of test specimen, lo = 50.500 mm
Load vs. elongation data for the test specimen
Load (N) Length (mm)
7.150
50.594
14.840
50.768
22.760
50.942
30.220
51.116
33.980
51.290
37.900
51.464
41.120
51.892
44.220
52.320
45.540
52.748
47.120
53.684
46.760
54.620
45.280
55.550
44.620
56.238
41.700
56.920
36.220
57.602
arrow_forward
Calculate the total tensile
strength (mitotic tensile
strength test experiment)
for the information in the
table below
23
D mm
Time sec
Load KN
54
15
14
52
15
14
3.
57
16
15.5
55
13
18
53
15
14
6.
58
20
19
7
50
17
8
56
19
21
arrow_forward
3
arrow_forward
The stress-strain curve for a material is shown below. The modulus of toughness for
this material is most closely equal to:
σ (ksi)
105
90
75
60
8
45
30
15
0
0
0.05 0.10 0.15 0.20 0.25 0.30 0.35
0 0.001 0.002 0.003 0.004 0.005 0.006 0.007
28 ksi
16 ksi
38 ksi
22 ksi
€ (in./in.)
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stress
0.02
0.018
0.016
0.014
0.012
0.01
0.008
0.006
0.004
0.002
0.05
0.1
0.15
0.2
0.25
0.3
0.35
Determine :
1- Stress, Stratn care
2. elastic Zone
3. yield sbresscoys
4- plastic Zone
5- UItimate Stress Cous
6- Elongation
7- propotionaL stress cops
8-fructurc stress coF)
arrow_forward
The following data are taken from a 20mm in diameter bar of length 250mm, the
following results were recorded. Assume that the curve of the stress-strain diagram is
linear from the origin to the first point.
P (load in kN)
8(elongation in mm)
112
0.2
154
0.3
167
0.4
0.5
174
181
0.8
Determine the
a. Stress at 187 kN load in MPa
b. Strain at 167 kN load in mm/mm (expressed in scientific notation)
c. Modulus of elasticity in MPa
d. Modulus of resilience in N-mm/mm
e. Modulus of toughness in N-mm/mm
234 oo
OOO O0
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Analyse the differences between the 2 attached stress-strain curves for 0.9% carbon steel and 0.15% carbon steel.
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I need handwritten solution if u skip any part then i swear, it's simple do all otherwise skip
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Table B2: Stress-strain
data for uniaxial compression test on Sample
Normal stress
Uniaxial strain (%)
Lateral strain (%)
(MPa)
0.0
0.0000
0.0000
5.0
0.0319
-0.0150
10.0
0.0720
-0.0275
15.0
0.1025
-0.0425
20.0
0.1450
-0.0600
25.0
0.1755
-0.0725
30.0
0.2150
-0.0875
35.0
0.2455
-0.1025
41.0
0.2815
-0.1125
46.0
0.3125
-0.1209
52.0
0.3515
-0.1285
58.0
0.4000
-0.1325
(f)
Based on the plotted curve, calculate the average/tangent Young's modulus
and Poisson's ratio for this sample, at 50 % UCS?
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Problem :-
The following data was obtained tensile test on a specimen of 6 mm diameter and
gauge length Lo=30 mm:
load(KN)
0 40
80 95 90
135 150.2 145 130 120
elongation(mm) 0 0.022 0.13 0.25 0.55 2.01 3.88 4.12 5.22 6
Plot engineering and True (stress-strain) curves, then determine the (oy, ɛy), (ou,
ɛu), (of, , ef), ductility, modulus of elasticity.
Then select on the drawing ((strain hardening (n)) , (Necking), (uniform plastic
region and non-uniform plastic region) and (elastic & plastic) region)?
arrow_forward
400
350
300
250
200
150
100
50
0.002
0.004
0.006
0.008
0.01
Strain
Stress (MPa)
arrow_forward
Please do a-c and for c there is 3 parts aswell. Thank You. Also part c is the most important one so please prioritize that one.
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A cylindrical specimen of 1018 steel having a diameter of 6.35 mm and a gauge length of 38.1 mm is pulled in tension. Use the load-elongation characteristics tabulated below. The modulus of resilience (Ur) is the area under the engineering stress-strain curve. Compute the Ur.
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a. Plot the stress strain diagram
b. Find the modulus of elasticity, ultimate stress and fracture stress and explain each
term.
Define modulus of toughness and find the same for the above specimen.
Load (kN)
Elongation (mm)
11.1
31.9
0.0175
0.0600
37.8
0.1020
40.9
0.1650
43.6
53.4
62.3
64.5
0.2490
1.0160
3.0480
6.3500
arrow_forward
Help me please
arrow_forward
And **The modulus of elasticity** (MPa)
I need a clear step by step answer please :)
arrow_forward
The stress-strain diagram for a steel alloy having an
original diameter of 0.80 in. and a gage length of 2 in.
is shown in the figure below. (Figure 1)
Figure
☛ (ksi)
80
70
60
50
40
30
20
10
0
0
004 0.08 0.12 0.16 0.20 0.24 0.28
0 0.0005 0.001 0.0015 0.002 0.0025 0.0030.0035
1 of 1
€ (in./in.)
Determine the modulus of elasticity for the material.
Express your answer to three significant figures and include appropriate units.
Expprox Value
Submit
Part B
Submit
Py = Value
Part C
Request Answer
Determine the load on the specimen that causes yielding.
Express your answer to three significant figures and include appropriate units.
μÃ
μÃ
P₁ =
Request Answer
Units
Value
Units
Determine the ultimate load the specimen will support.
Express your answer to three significant figures and include appropriate units.
MIC ?
Units
www ?
www
?
arrow_forward
A tension test was performed on a steel specimen having
an original diameter of 0.503 in. and gauge length of
2.00 in. The data is listed in the table below. (Figure 1)
Figure
Load (kip) Elongation (in.)
0
0
1.50
0.0005
4.60
0.0015
8.00
0.0025
11.00
11.80
11.80
12.00
16.60
20.00
21.50
19.50
18.50
0.0035
0.0050
0.0080
0.0200
0.0400
0.1000
0.2800
0.4000
0.4600
1 of 1
Part C
Determine approximately the ultimate stress.
Express your answer to two significant figures and include the appropriate units.
Ju =
Submit
Part D
OR=
Submit
μÅ
Value
Request Answer
Determine approximately the rupture stress.
Express your answer to two significant figures and include the appropriate units.
Provide Feedback
Value
[ID] ?
Request Answer
Units
Units
?
arrow_forward
A tension test was performed on a steel specimen having
an original diameter of 0.503 in. and gauge length of
2.00 in. The data is listed in the table below. (Figure 1)
Figure
Load (kip) Elongation (in.)
0
0
1.50
0.0005
4.60
0.0015
8.00
11.00
11.80
11.80
12.00
16.60
20.00
21.50
19.50
18.50
0.0025
0.0035
0.0050
0.0080
0.0200
0.0400
0.1000
0.2800
0.4000
0.4600
1 of 1
Part A
Determine approximately the modulus of elasticity.
Express your answer to two significant figures and include the appropriate units.
E =
Submit
▾ Part B
σy =
μA
Submit
Value
Request Answer
Determine approximately the yield stress.
Express your answer to two significant figures and include the appropriate units.
μÃ
Value
[IMG] ?
Request Answer
Units
Units
www.
?
arrow_forward
4. The following data were obtained from a standard tensile stress test on a mild
steel specimen. Graph the result and determine proportional limit stress and
Young's Modulus.
STRESS (Mpa)
STRAIN (1 x 104)
69
3.6
138
6.8
207
10.2
276
13.0
345
18.4
414
27.2
462
41.8
552
71.0
arrow_forward
A cylindrical specimen of brass that has a diameter of 20 mm, a tensile modulus of 110 GPa, and a Poisson's ratio of 0.35 is pulled in
tension with a force of 40, 000 N. If the deformation is totally elastic and the original length is 120 mm, what is the shear modulus.
G. of the specimen in GPa?
A 20.74
40.74
50.74
30.74
arrow_forward
The stress-strain diagram for a steel alloy having an original diameter of 0.80 in. and a
gage length of 2 in. is shown in the figure below. (Figure 1)
Figure
(ksi)
80
70
60
50
40
30
20
10
0
0
0.04 0.08 0.12 0.16 0.20 0.24 0.28
0 0.0005 0.001 0.0015 0.002 0.0025 0.0030.0035
(in./in.)
1 of 1
Part A
Determine the modulus of elasticity for the material.
Express your answer to three significant figures and include appropriate units.
Eapprox= Value
Submit
Part B
Py =
Submit
Determine the load on the specimen that causes yielding.
Express your answer to three significant figures and include appropriate units.
Part C
Request Answer
P₁ =
HA
Value
Request Answer
Units
Value
Units
WX ?
p
Determine the ultimate load the specimen will support.
Express your answer to three significant figures and include appropriate units.
Units
?
?
arrow_forward
A cylindrical specimen of 1018 steel having a diameter of 6.35 mm and a gauge length of 38.1 mm is pulled in tension. Use the load-elongation characteristics tabulated below. Plot the data as engineering stress versus engineering strain .
arrow_forward
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Related Questions
- The stress-strain diagram of a reinforcement steel having a cross-sectional diameter of 12 mm diameter and 100 mm gage length is determined after its tensile strength test as follows. Based on the stressstrain diagram determine the followings properties of the material (Poisson’s ratio of the material is 0.32) :arrow_forwardAn aluminum alloy bar of square cross Stress (MPa) Strain section (13 mm x 13 mm) is loaded in 55 0.0006 0.0015 tension by axial forces P. 117 186 0.0024 Stress-strain data obtained from a 241 296 0.0032 0.0040 tension test of the same alloy are 345 0.0046 0.0052 0.0058 0.0062 listed in the table. 400 427 441 (a) What is the modulus of elasticity 448 0.0065 E of the aluminum? 0.0073 0.0081 461 469 (b) What is the maximum load P if the stress in the bar is not to exceed the proportional limit?arrow_forwardStress Vs Strain on Aluminium 120.00 100.00 80.00 60.00 40.00 20.00 0.00 -20.00 -40.00 Strain (mm/mm) Stress (MPa) 0000'0 0.0105 0.0211 0.0316 0.0422 0.0527 0.0633 0.0738 .0854 0.0855 0.0856 6.0857arrow_forward
- 1. A cylindrical specimen of a metal object with a radius of 3.8E-2 m and a gauge length of 20.31 mm is pulled in tension. Use the load-elongation characteristics tabulated below to answer the following questions; Load Length (N) (mm) 20.31 20.38 12 20.45 18 20.51 24 20.55 30 20.61 36 20.64 42.8 20.68 48.9 20.72 55.2 20.76 60 20.79 65.8 20.84 70.7 20.87 77.3 20.93 83.1 20.98 88.6 22.15 91.58 23.24 91.68 25.41 0 6 Change in length Length (x10-2 m) (m) Computed strain Computed stress (N/m²) (a) Compute the cross-sectional area of brass. (3arrow_forwardIn a tensile test of stainless steel, the following data were obtained: Load (N) 7,200 11,250 13.500 16,200 18.900 Elongation (mm) 0.0 0.505 2.03 5.08 20,200 15.24 20,700 13,200 24.90 10.16 21.80 The dimensions of the cylindrical specimen were initial length L₁ = 50.8 mm and initial arca A₁ - 35.8 mm² and the area at fracture was Ar 10.0 mm². Plot the stress-strain diagram and determine the following: a) Modulus of elasticity b) The yield strength at a strain offset of 0.002 c) Ultimate strength d) Fracture strengtharrow_forwardI have plotted stress strain curve as shown in attached pictures. I want to know that: What does the slope represent and what does it indicate? Can you find what is the material used? How to find it?arrow_forward
- A specimen with cylindrical shape was subjected to tensile test. Please plot the stress vs. strain curve for the specimen and calculate Young's modulus. Diameter of test specimen, do = 11.600 mm Length of test specimen, lo = 50.500 mm Load vs. elongation data for the test specimen Load (N) Length (mm) 7.150 50.594 14.840 50.768 22.760 50.942 30.220 51.116 33.980 51.290 37.900 51.464 41.120 51.892 44.220 52.320 45.540 52.748 47.120 53.684 46.760 54.620 45.280 55.550 44.620 56.238 41.700 56.920 36.220 57.602arrow_forwardCalculate the total tensile strength (mitotic tensile strength test experiment) for the information in the table below 23 D mm Time sec Load KN 54 15 14 52 15 14 3. 57 16 15.5 55 13 18 53 15 14 6. 58 20 19 7 50 17 8 56 19 21arrow_forward3arrow_forward
- The stress-strain curve for a material is shown below. The modulus of toughness for this material is most closely equal to: σ (ksi) 105 90 75 60 8 45 30 15 0 0 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0 0.001 0.002 0.003 0.004 0.005 0.006 0.007 28 ksi 16 ksi 38 ksi 22 ksi € (in./in.)arrow_forwardstress 0.02 0.018 0.016 0.014 0.012 0.01 0.008 0.006 0.004 0.002 0.05 0.1 0.15 0.2 0.25 0.3 0.35 Determine : 1- Stress, Stratn care 2. elastic Zone 3. yield sbresscoys 4- plastic Zone 5- UItimate Stress Cous 6- Elongation 7- propotionaL stress cops 8-fructurc stress coF)arrow_forwardThe following data are taken from a 20mm in diameter bar of length 250mm, the following results were recorded. Assume that the curve of the stress-strain diagram is linear from the origin to the first point. P (load in kN) 8(elongation in mm) 112 0.2 154 0.3 167 0.4 0.5 174 181 0.8 Determine the a. Stress at 187 kN load in MPa b. Strain at 167 kN load in mm/mm (expressed in scientific notation) c. Modulus of elasticity in MPa d. Modulus of resilience in N-mm/mm e. Modulus of toughness in N-mm/mm 234 oo OOO O0arrow_forward
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