Concept explainers
(a)
The tangent elastic modulus.
(a)
Answer to Problem 6.19P
The tangent elastic modulus at zero strain is
Explanation of Solution
Formula Used:
Write the expression for the tangent elastic modulus.
Here,
Calculation:
Refer Figure 6.16 “Tensile stress-strain diagram for four different type of materials” from the book “Material Science and Engineering Properties”.
The value of change is stress for PMMA is
Substitute
Conclusion:
Thus, the tangent elastic modulus at zero strain is
(b)
The yield stress of PMMA.
(b)
Answer to Problem 6.19P
The yield stress for PMMA is
Explanation of Solution
Calculation:
Refer Figure 6.16 “Tensile stress-strain diagram for four different type of materials” from the book “Material Science and Engineering Properties”.
The tensile stress diagram for PMMA is shown in figure below.
Figure (1)
The value of the yield stress for PMMA is
Conclusion:
Thus, the yield stress for PMMA is
(c)
The resilience of PMMA.
(c)
Answer to Problem 6.19P
The resilience of PMMA is
Explanation of Solution
Formula Used:
Write the expression for the resilience.
Here,
Calculation:
Substitute
Conclusion:
Thus, the resilience of PMMA is
(d)
The ultimate tensile strength of PMMA.
(d)
Answer to Problem 6.19P
The ultimate tensile strength for PMMA is
Explanation of Solution
Calculation:
The ultimate tensile strength in a stress-strain diagram is obtained by observation of the highest point that is reached by the curve after which the necking of curve starts.
Refer Figure 6.16 “Tensile stress-strain diagram for four different type of materials” from the book “Material Science and Engineering Properties”.
The value of the ultimate tensile strength for PMMA is
Conclusion:
Thus, the ultimate tensile strength for PMMA is
(e)
The toughness of PMMA.
(e)
Answer to Problem 6.19P
The toughness of PMMA is
Explanation of Solution
Formula Used:
Write the expression for the first area.
Here,
Write the expression for the second area.
Here,
Write the expression for the third area.
Here,
Write the expression for the fourth area.
Here,
Write the expression for the fifth area.
Here,
Write the expression for the sixth area.
Here,
Write the expression for the toughness of specimen.
Calculation:
Refer Figure 6.16 “Tensile stress-strain diagram for four different type of materials” from the book “Material Science and Engineering Properties”.
The stress strain diagram for PMMA with sub-divided area is shown below,
Figure (2)
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Conclusion:
Thus, the toughness of PMMA is
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Chapter 6 Solutions
Materials Science And Engineering Properties
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