A typical value for the modulus of elasticity (E) of aluminum is 10,000 ksi and for steel is 29,000 ksi. Which of the following is a TRUE statement?

Question

BlackTom AI · Accepted Answer

We are given typical modulus of elasticity values: aluminum ~ 10,000 ksi and steel ~ 29,000 ksi. The modulus of elasticity (E) is a measure of material stiffness; a higher E means stiffer material under service loads.
Option by option analysis:

Option 1: 'Aluminum has 2.9 times less strength than steel'
This statement talks about strength, not stiffness. E relates to stiffness, not yield or ultimate strength. Therefore this option misinterprets the property being compared and is incorrect.

Option 2: 'Aluminum is 2.9 times less stiff than steel'
This aligns with the given E values. If steel has E ≈ 29,000 ksi and aluminum ≈ 10,000 ksi, aluminum’s stiffness is lower by a factor of 29,000 / 10,000 ≈ 2.9. Saying aluminum is 2.9 times less stiff than steel correctly describes the relationship between their moduli of elasticity.

Option 3: 'Aluminum has 2.9 times less toughness than steel'
Toughness is a measure of energy absorption before fracture and is not directly determined by E. Different materials can have similar E but very different toughness, depending on ductility and toughness properties. This statement confuses stiffness with toughness and is therefore incorrect.

Option 4: 'Aluminum is 2.9 times more stiff than steel'
This is the opposite of what the given E values indicate. Since aluminum's E is much smaller than steel's, aluminum is not more stiff; it is less stiff. This makes the option incorrect.

In summary, the only option that correctly matches the concept that stiffness scales with the modulus of elasticity and the given numerical values is the one stating that aluminum is 2.9 times less stiff than steel, while the others either misstate the property (strength or toughness) or invert the relationship of stiffness.

2258-1_20CVE2003C003 Exam 3 - 2025

A typical value for the modulus of elasticity (E) of aluminum is 10,000 ksi and for steel is 29,000 ksi. Which of the following is a TRUE statement?

View Explanation

Log in for full answers

Similar Questions

Which of the following is a true statement about elastic modulus, E?

Elastic modulus is generally higher for ceramics than metals:

In a consumer society, many adults channel creativity into buying things

Economic stress and unpredictable times have resulted in a booming industry for self-help products

People born without creativity never can develop it

A product has a selling price of $20, a contribution margin ratio of 40% and fixed cost of $120,000. To make a profit of $30,000. The number of units that must be sold is: Type the number without $ and a comma. Eg: 20000

Which of the following statement regarding cost is correct:

Under the assumptions used in cost-volume-profit analysis, as the activity increases:

More Practical Tools for Students Powered by AI Study Helper

Homework AI Solver

Stylized AI Paper Writer

Plagiarism Checker Assistant

Citation AI Academic Writing Tool

In-Class Translation Assistant

AI Note Generator

AI Quiz Answers

Past Exam Questions from University Test Bank

Smart Practice Assistant

Adaptive Practice

Making Your Study Simpler