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1

. A specimen of 1

0

5

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0 steel was tested. The specimen has a rectangular cross section with the original width 0.51

7

inch, and the original thickness

0.1

2

7 inch. Its original length

3

inch. During the tensile test, the tensile force (lbf) and the elongation (L inch) were recorded in the table below, where data point 1 is the starting point and data point

32

is the fracture point.

a) Calculate stress () and strain () and fill in the Strain and Stress column below. Manually calculate the first two data points and the last two data points. You may use Excel to calculate the rest data points.

b) Manually plot stress-Strain curves ( – curves) on grid papers to scale.

c) Use your – curves from b) to calculate E = ? y = ? yield = ? T = ? T = ? failure = ?

Data Point

Tensile force (lbf)

Elongation (L inch)

Strain ( unit?)

Stress ( unit?)

1 0

0

2

30

8

.771

0.002

3

85

6

.

26

0.00

4

4

12

82.266

0.007

5

16

52.0

15

0.00

9

6

19

86.084

0.012

7

24

01.83

0.016

8

2695.

28

9

0.02

9

29

38.653

0.0

25

10

31

29.499

0.033

11

3315.6

21

0.047

12

3530.635

0.069

13

3748.405

0.1

14

3943.072

0.137

15

41

22

.867

0.

18

7

16

4282.522

0.253

17

4335.87

0.285

18

4411.024

0.353

19

4447.924

0.407

20

4469.101

0.457

21

4480.

23

5

0.503

22

4481.978

0.536

23

4477.684

0.587

24

4464.634

0.643

25

4434.144

0.705

26

4291.918

0.767

27

4032.485

0.78

28

3381.613

0.787

29

2738.528

0.792

30

1762.833

0.807

31

948.932

0.82

32

447.689

0.828

2. A Monel 400 pipe has 2.5 inch original outside diameter, 1.5 inch original inside diameter, and 38 inch original length. Calculate the tensile stress, tensile strain, final length, and its final outside diameter under the following conditions:

a) It is under a tensile force of 67,500 lbf along its length direction.

b) It is under a tensile force of 135,000 lbf along its length direction.

c) It is under a tensile force of 270,000 lbf along its length direction.

3. A ferrous supperalloy (410) cable has 28 mm original diameter and 25 m original length. This cable is designed to pull an elevator up at a constant speed. Calculate:

a) the maximum elevator weight that can be permitted on the cable without producing plastic deformation.

b) If the load is 600 kN, calculate the minimum cable diameter, such that the cable will not have permanent elongation.

4. A 3003 Aluminum rod has a rectangular cross section shape. Its original cross section width is 0.6”. Its original cross section thickness is 0.3”. Its original length is 6’. This rod is under a tensile force along its length direction.

a) To avoid permanent deformation, what is the maximum tensile force can be applied to this bar?

b) The design engineers want that this rod length does not increase more than 0.12” to ensure its alignment with other components during the operation. Calculate the maximum tensile force can be applied to this bar.

2

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