Question

A copper rod of 2 cm diameter is completely encased in a steel tube of inner diameter 2 cm and outer diameter 4 cm. Under an axial load, the are in the steel tube is 100 N/mm^2 . If Es=2 Ec , then stress in the copper rod is​

Answer 1

Explanation:

Given A copper rod of 2 cm diameter is completely encased in a steel tube of inner diameter 2 cm and outer diameter 4 cm. Under an axial load, the are in the steel tube is 100 N/mm^2 . If Es=2 Ec , then stress in the copper rod is

• So given σs = 100 N/mm^2
•   Es = 2Ec
• So according to compatibility condition we have
• Δs = Δc
• Now we have
•    PsLs / AsEs = PcLc / AcEc
•     So σs / Es = σc / Ec (Since Ls = Lc)
•    Or σc = σs / Es x Ec  
•               = σs / 2Ec x Ec (Since Es = 2Ec)
•     Or σc = σs / 2
•               = 100 / 2
•              = 50 N / mm^2

Reference link will be

https://brainly.in/question/2854455