Concept explainers
(a)
The reduction in the height of the specimen.
(a)
Explanation of Solution
Formula used:
The expressionfor the volume of the original specimen is given as,
Here,
The expression for the volume during the plastic deformation of the original specimen is given as,
Here,
Calculation:
Refer figure 4.8(a) “Charts to determine friction in ring compression test” to obtain the values as,
The outer diameter of the specimen is
The outer diameter of the specimen is
Height of the specimen is
The value for the volume of original specimen can be calculated by substituting the values of
The value for the height of specimen is calculated as,
The reduction in height of specimen is calculated by taking different values of
Specimen (Number) | Formula | Calculation | |||
(b)
The coefficient of the friction for the each specimen.
(b)
Explanation of Solution
The value of coefficient is calculated from the figure 4.8(a) corresponding to the different values of percentage reduction in height and reduction in internal diameter is given as,
Specimen (Number) | % Reduction in height | % Reduction in Internal diameter | Coefficient of Friction
|
1. | 41.2 | -27.2 | 0.01 |
2. | 58.4 | 24.8 | 0.10 |
3. | 60 | 53.1 | 0.20 |
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