100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
An aluminum link is subjected to axial tension.The loading is limit $7.06   Add to cart

Exam (elaborations)

An aluminum link is subjected to axial tension.The loading is limit

 1 view  0 purchase
  • Course
  • Institution

An aluminum link is subjected to axial tension.The loading is limited by the conditions of not yielding and not elongating excessively. The yield limit is satisfied if the stress remains below 50% of the 325 MPa yield stress. The elongation must remain below 0.1 mm. The link cross-section is re...

[Show more]

Preview 1 out of 1  pages

  • June 26, 2023
  • 1
  • 2022/2023
  • Exam (elaborations)
  • Questions & answers
avatar-seller
An aluminum link is subjected to axial tension.The loading is limited by the conditions
of not yielding and not elongating excessively. The yield limit is satisfied if the stress remains
below 50% of the 325 MPa yield stress. The elongation must remain below 0.1 mm. The link
cross-section is rectangular, 3 mm by 7 mm. Assuming elastic behavior, determine the maximum
allowable tensile force for two cases: (a) the length of the link is 35 mm and (b) the length of the
link is 55 mm.


Solution


Area of the cross section = 7*3*10^-6 = 21*10^-6 m^2
Maximum allowable stress = 325 Mpa
Allowable tensile load (T) = Stress * Area = 325*10^6 * 21*10^-6 = 6825 N



a) Young\'s modulous of alluminium is 69 Gpa
So, strain = 0.1/35 = 2.85 *10^-3
Stress = young\'s modulous * strain = 69*10^9 * 2.85*10^-3 = 197.14*10^6 = 197.14 MPa
Hence, stress is less than 325 Mpa, so the tensile load is limited by the maximum elongation
condtion.
Maximum allowed force = Stress * area = 197.14*10^6 * 21*10^-6 = 4139.9 N



b) Strain = (0.1/55) = 1.818 *10^-3
Stress = young\'s modulous * strain = 69*10^9 * 1.818*10^-3 = 197.14*10^6 = 125.44 MPa
Again stress is less than 325 Mpa, so the tensile load is limited by the maximum elongation
condtion.
Maximum allowed force = Stress * area = 125.44*10^6 * 21*10^-6 = 2634.28 N



I hope you got this :)
If any doubt then please comment.

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller meejuhaszjasmynspe52866. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for $7.06. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

81989 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling

Recently viewed by you


$7.06
  • (0)
  Add to cart