1
. A specimen of 1
0
5
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.
Data Point
Tensile force (lbf)
Elongation (L inch)
Strain ( unit?)
Stress ( unit?)
0
30
8
.771
0.002
85
6
.
26
0.00
4
12
82.266
0.007
16
52.0
15
0.00
9
19
86.084
0.012
24
01.83
0.016
2695.
28
9
0.02
29
38.653
0.0
25
10
31
29.499
0.033
11
3315.6
21
0.047
3530.635
0.069
13
3748.405
14
3943.072
0.137
41
22
.867
0.
18
7
4282.522
0.253
17
4335.87
0.285
4411.024
0.353
4447.924
0.407
20
4469.101
0.457
4480.
23
5
0.503
4481.978
0.536
4477.684
0.587
4464.634
0.643
4434.144
0.705
4291.918
0.767
27
4032.485
0.78
3381.613
0.787
2738.528
0.792
1762.833
0.807
948.932
0.82
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.