Question
Asked Mar 9, 2020
1 views

A tensile load of 50,000 lb is applied to a metal bar with a 0.6 in. * 0.6 in.cross section and a gauge length of 2 in. Under this load, the bar elastically deforms so that the gauge length increases to 2.007 in. and the cross section decreases to 0.599 in. * 0.599 in. Determine the modulus of elasticity and Poisson’s ratio for this metal.

check_circle

Expert Answer

Step 1

Given:

The tensile load is 50,000 lb.

The area of the metal bar is 0.6 in x 0.6 in.

The gauge length is 2 in.

The increase in the gauge length is 2.007 in.

The decrease in area is 0.599 in x 0.599 in.

Step 2

The formula to calculate the modulus of elasticity is,

Civil Engineering homework question answer, step 2, image 1

The formula to calculate the stress is,

Civil Engineering homework question answer, step 2, image 2

The formula to calculate the strain is,

Civil Engineering homework question answer, step 2, image 3

Here, P is the load, A1 is the initial area of the bar, l1 is the initial length, and l2 is the final length.

The formula to calculate the Poisson’s ratio is,

Civil Engineering homework question answer, step 2, image 4

 

 

Step 3

Calculate the stress.

Civil Engineering homework question answer, step 3, image 1

Calculate the strain.

Civil Engineering homework question answer, step 3, image 2

Calculate the modulus of elasticity.

Civil Engineering homework question answer, step 3, image 3

 

 

...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.

Related Civil Engineering Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: A hypothetical metal A with a BCC lattice structure has a density of 8.87 g/cm3 If a hypothetical me...

A: Given: The density of metal A is 8.87 g/cm3.

question_answer

Q: Name four types of construction risks that are properly allocated solely to the contractor.

A: The term risk is an aspect of action which has been taken even with uncertainty. The risk can also b...

question_answer

Q: Under what conditions might an oral change order be valid and binding, even if the contract states t...

A: A change order is a work that has been removed or attached to the original contract of work, but dep...

question_answer

Q: a) Draw the approximate deflected shape based on the bending moment diagram.   b) Develop both the s...

A: a) Deflected beam diagram:

question_answer

Q: Define substantial completion

A: The substantial completion is defined as, the stage of construction in the course of the work when a...

question_answer

Q: Five thousand cubic meters per day of a conservative substance, with a concentration of 20 mg/L is r...

A: Given data: The discharge of stream is 15000 m3/day and The concentration of conservative substance ...

question_answer

Q: Environmental Engineering question: A drinking water treatment facility is planning to reduce operat...

A: Batch Reactors: The water is treated in batches. While the treatment is carried out, nothing is put ...

question_answer

Q: If mu = 0.30 under both blocks and A weighs 400 lb, find the maximum weight of B that can be started...

A: Given: Coefficient of friction, mu = 0.30 Weight of block A = 400 lb Rightward force on block A, P =...

question_answer

Q: a) Draw the approximate deflected shape from the bending moment diagram. b) Develop the piecewise fu...

A: Consider the given beam. a) Consider the equilibrium of forces in the vertical direction. Consider...