50.5k views
4 votes
If the specimen is loaded until it is stressed to 65 ksi, determine the approximate amount of elastic recovery after it is unloaded. Express your answer as a length. Express your answer to three significant figures and include the appropriate units.

User Mister Why
by
3.0k points

2 Answers

5 votes

Final answer:

The approximate amount of elastic recovery after unloading a stressed specimen is zero.

Step-by-step explanation:

To determine the approximate amount of elastic recovery after unloading a stressed specimen, we need to consider the concept of elastic deformation. Elastic deformation refers to the temporary elongation or compression of a material when a stress is applied to it, and it returns to its original shape once the stress is removed.

Since the question does not provide specific information about the material or its elastic modulus, we cannot determine the exact amount of elastic recovery. However, we can generally say that the elastic recovery would be close to the original length of the specimen before it was loaded.

Therefore, we can assume that the approximate amount of elastic recovery would be zero, as the specimen would return to its original length.

User Mark Lutton
by
3.1k points
3 votes

Answer:

ER = 0.008273 in

Step-by-step explanation:

Given:

- Length of the specimen L = 2 in

- The diameter of specimen D = 0.5 in

- Specimen is loaded until it is stressed = 65 ksi

Find:

- Determine the approximate amount of elastic recovery after it is unloaded.

Solution:

- From diagram we can see the linear part of the curve we can determine the Elastic Modulus E as follows:

E = stress / strain

E = 44 / 0.0028

E = 15714.28 ksi

- Compute the Elastic strain for the loading condition:

strain = loaded stress / E

strain = 65 / 15714.28

strain = 0.0041364

- Compute elastic recovery:

ER = strain*L

ER = 0.0041364*2

ER = 0.008273 in