Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN: 9781305084766
Author: Saeed Moaveni
Publisher: Cengage Learning
Question
Book Icon
Chapter 17, Problem 27P

(a)

To determine

Write the values of modulus of resilience and modulus of toughness for titanium.

The range of modulus of resilience for titanium is 2.888MPato4.167MPa_.

The range of modulus of toughness for titanium is 190.9MPato253MPa_.

(a)

Expert Solution
Check Mark

Explanation of Solution

Refer Table 17.4 “The strength of Selected Materials” in the textbook.

The range for Yield strength of titanium alloys (σY) is 760MPa1000MPa.

The range for Ultimate strength of titanium alloy (σU) is 900MPa1200MPa.

Refer Table 17.2 “Modulus of Elasticity and Shear Modulus of Selected Materials” in the textbook.

The modulus of elasticity of titanium alloy is E=100GPa120GPa.

The elongation of titanium alloy is 23%.

Find the range of modulus of resilience (Ur) using the relation.

Ur=σY22E (1)

Substitute the minimum and maximum values;

Ur=76022×100GPa×103MPa1GPato100022×120GPa×103MPa1GPa=2.888MPato4.167MPa

Therefore, the range of modulus of resilience is 2.888MPato4.167MPa_.

Find the range of modulus of toughness (Ut) using the relation.

Ut=(σY+σU2)×εf (2)

Substitute minimum and maximum values;

Ut=(760+9002)×0.23to(1000+12002)×0.23=190.9MPato253MPa

Therefore, the range of modulus of toughness is 190.9MPato253MPa_.

(b)

To determine

Write the values of modulus of resilience and modulus of toughness for steel.

The range of modulus of resilience for steel is 0.304MPato2.381MPa_.

The range of modulus of toughness for steel is 66.75MPato165MPa_.

(b)

Expert Solution
Check Mark

Explanation of Solution

Refer Table 17.4 “The strength of Selected Materials” in the textbook.

The range for Yield strength of steel (σY) is 340MPa1000MPa.

The range for Ultimate strength of steel (σU) is 550MPa1200MPa.

Refer Table 17.2 “Modulus of Elasticity and Shear Modulus of Selected Materials” in the textbook.

The range for modulus of elasticity of steel (E) is 190GPa210GPa

The elongation of steel is 15%.

Modulus of resilience:

Substitute the minimum and maximum values in Equation (1).

Ur=34022×190GPa×103MPa1GPato100022×210GPa×103MPa1GPa=0.304MPato2.381MPa

Therefore, the range of modulus of resilience is 0.304MPato2.381MPa_.

Modulus of toughness;

Substitute minimum and maximum values in Equation (2);

Ut=(340+5502)×0.15to(1000+12002)×0.15=66.75MPato165MPa

Therefore, the range of modulus of toughness is 66.75MPato165MPa_.

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!
Students have asked these similar questions
1.19 A brass alloy has a yield strength of 280 MPa, a tensile strength of 390 MPa, and an elastic modulus of 105 GPa. A cylindrical specimen of this alloy 12.7 mm in diameter and 250 mm long is stressed in tension and found to elongate 7.6 mm. On the basis of the information given, is it possible to compute the magnitude of the load that is necessary to produce this change in length? If so, calculate the load. If not, explain why.
(a) What is the effect of increasing the carbon content in steel on each of the each of the following items? 1. Yield strength 2. Modulus of elasticity 3. Ductility (b) Materials are generally classified into three categories based on the predominant types of bond. What are these three categories and what are the predominant types of bond in each category? For each category, provide two examples of common materials used by civil engineers.
1. The tensile strength vs. temperature curves of aluminum are plotted below. Explain the meaning of these two curves. 400 Ultimate strength 300 Yield strength 200 100 -200 -150 -100 -50 50 100 150 200 250 Temperature, °C Strength, kPa
Knowledge Booster
Background pattern image
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Engineering Fundamentals: An Introduction to Engi...
Civil Engineering
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Cengage Learning
Text book image
Materials Science And Engineering Properties
Civil Engineering
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Cengage Learning