Stainless steel wire of 0.500 mm diameter has been produced by wire drawing. To achieve this size, the material of initial yield strength 630 MPa, was cold worked by 20%, what was the drawing force acting on this initial material?
Solution
Pressure = Force/Area
A = pr2
Radius = D/2
= (0.500 x 10-3)/2
Radius = 25 mm
Area = 1.97 x 10-7 m
20% of 630 MPa = 126 MPa
Calculating Drawing Force = Pressure/ Area
=126 x 106/1.97 x 10-7
Drawing Force = 6.34 Newton
Question 2
On annealing a cold metal, the following data were obtained:
Annealing Temperature
(C)
Residual Stresses (MPa)
Tensile Strength
(MPa)
Grain Size (mm)
250
145
360
0.076
275
145
360
0.076
300
35
360
0.076
325
0
360
0.076
350
0
235
0.025
375
0
200
0.025
400
0
185
0.089
425
0
170
0.183
Task 1
Present the data graphically onto one graph where the left size vertical axis can be used for the stress values and a right hand axis used to plot the grain size data.
Figure 1: Grain Size and Temperature
Question 2 Why is the metal of initial high strength? Explain briefly the underlying reason of this strength being developed during the previous processing of the metal.
Question 3
Estimate the recovery temperature.
The recovery temperature is 250K, because at this temperature, it started to rise up. While calculating the recovery temperature latent heat of fusion and latent heat of vaporization must be considered, only then appropriate values are obtained, we have done the same, and these values can be verified by looking at the above graph.
Estimate the recrystallization temperature.
The recrystallization temperature is 400K, as at this temperature, the strength and stress would be of the value, such that the crystals will begin to form.
Estimate the grain growth temperature.
The grain growth temperature is estimated to be 350k
Question 4 Recommend a suitable temperature for obtaining a high strength, but high electrical conductivity wire.
1900F.
Part B
Here Stress is being calclulated by using the formula
Stress = Force /Area
Area is used as 0.04 m, as per the given dimensions
Stress (Mpa) at indicated temperatures (0C)
Strain (%)
-20
+20
40
60
80
100
140
0
0
0
0
0
0
0
0
0.1
3200
3300
2600
2200
1300
800
500
0.2
6400
6400
5200
4300
2400
1500
900
Stress (Mpa) at indicated temperatures (0C)
Strain (%)
-57
-50
-40
-20
0
30
70
0
0
0
0
0
0
0
0
0.1
4925
4875
4850
1925
975
625
550
0.2
9750
9750
9200
3700
1875
1275
1125
Next, we calculate the percentage modulus depending on the above calculations. Young's Modulus is calculated by using the following formula:
Young's Modulus = (Stress / Strain) * 100
Temperature (0C)
Dry PA66
Wet PA66
-20
32000
-
20
32000
-
40
26000
60
21500
-
80
12000
-
100
7500
-
140
4500
-
-57
-
48750
-50
-
48750
-40
-
46000
-20
-
18500
0
-
9375
30
-
6375
70
-
5625
Figure 2 shows the graph between Temperature and 0.2% modulus for dry PA66.
Figure 2: Temperature and 0.2% Modulus for dry PA66
Figure 3 shows the graph between Temperature and 0.2% modulus for wet PA66.
Figure 3: Temperature and 0.2% Modulus for Wet PA66
The weld is more prone to the crack as it contains internal flaws. Also, the weld creates external stress which encourages the crack to initiate, as the welding process introduces the residual stresses in the welded region. There are four types of cracks that may occur in the welded steel structures.
The steel structure, which is subject to the fluctuating loads mainly, fails due to fatigue (Shine U.P., 2008, pp.1). After being subjected to the fluctuated loads for a continuous period of time, the welded steel structure often breaks into two pieces. The fatigue occurs when the cyclic stress is less than the material's tensile strength (Craig B.D., 2010, pp.13).