MATERIALS SCI + ENGR: INT W/ACCESS
MATERIALS SCI + ENGR: INT W/ACCESS
10th Edition
ISBN: 9781119808084
Author: Callister
Publisher: WILEY
Question
Book Icon
Chapter 15, Problem 1QAP
To determine

The elastic modulus and tensile strength of the poly (methyl methacrylate) from the stress strain data given in Figure 15.3 at room temperature [20°C(68°F)] and compare these values with the Table 15.1.

Expert Solution & Answer
Check Mark

Answer to Problem 1QAP

The calculated elastic modulus of the poly (methyl methacrylate) is slightly greater than the maximum value of elastic modulus given in the Table 15.2 that is 3.33GPa>3.24GPa .

The tensile strength (stress) found from the Figure 15.3 ( 52MPa ) is lies between the value of tensile strength that is given in the Table 15.1 ( 48.3MPa72.4MPa ).

Explanation of Solution

Write the relation between elastic modulus, tensile strength and strain.

E=σ2σ1ε2ε1 (I)

Here, E is the elastic modulus, σ is the tensile strength, ε is the strain and the suffixes 1,2 indicates the initial and final stages.

Conclusion:

Refer to Figure 15.3. “The influence of temperature on the stress strain characteristics of poly (methyl methacrylate)”.

The stress and strain corresponding to the temperature curve of 20°C(68°F) is separately shown in Figure 1.

MATERIALS SCI + ENGR: INT W/ACCESS, Chapter 15, Problem 1QAP

From Figure 1.

Let, the initial stress and strain corresponding to the temperature curve of 20°C(68°F) is

σ1=0MPa

ε1=0

Let, the final stress and strain corresponding to the temperature curve of 20°C(68°F) is

σ2=30MPa

ε2=0.009

Calculate the elastic modulus.

Substitute 30MPa for σ2 , 0.009 for ε2 and 0 for σ1 , ε1 in Equation (I).

E=30MPa0MPa0.0090=300.009=3333.3333MPa×103GPa1MPa=3.333GPa

Thus, the elastic modulus of poly (methyl methacrylate) is 3.33GPa .

Refer to Table 15.2, “Room-Temperature mechanical characteristics of some of the more common polymers”.

The elastic modulus corresponding to poly (methyl methacrylate) is 2.24GPa3.24GPa .

Hence, the calculated elastic modulus of the poly (methyl methacrylate) is slightly greater than the maximum value of elastic modulus given in the Table 15.2 that is 3.33GPa>3.24GPa .

From Figure 1.

The tensile strength (stress) at the end of the curve corresponding to the temperature curve of 20°C(68°F) is 52MPa .

Refer to Table 15.2, “Room-Temperature mechanical characteristics of some of the more common polymers”.

The tensile strength (stress) corresponding to poly (methyl methacrylate) is 48.3MPa72.4MPa .

Hence, the tensile strength (stress) found from the Figure 15.3 ( 52MPa ) is lies between the value of tensile strength that is given in the Table 15.1 ( 48.3MPa72.4MPa ).

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Knowledge Booster
Background pattern image
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Engineering
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Essentials Of Materials Science And Engineering
Engineering
ISBN:9781337385497
Author:WRIGHT, Wendelin J.
Publisher:Cengage,
Text book image
Industrial Motor Control
Engineering
ISBN:9781133691808
Author:Stephen Herman
Publisher:Cengage Learning
Text book image
Basics Of Engineering Economy
Engineering
ISBN:9780073376356
Author:Leland Blank, Anthony Tarquin
Publisher:MCGRAW-HILL HIGHER EDUCATION
Text book image
Structural Steel Design (6th Edition)
Engineering
ISBN:9780134589657
Author:Jack C. McCormac, Stephen F. Csernak
Publisher:PEARSON
Text book image
Fundamentals of Materials Science and Engineering...
Engineering
ISBN:9781119175483
Author:William D. Callister Jr., David G. Rethwisch
Publisher:WILEY