A mild steel rod is 150 cm long. The portion 80 cm long is 22 mm diameter and the remaining length is 20 mm diameter. If the total change in length is 0.072 cm, Determine the changes of each part in 1) Length, 2) Diameter, 3) Volume. Take poissions ratio= 0.3

1 answer

Consider the length change as a result of stress.
Stress x area is constant along the length.
Stress is (22/20)^2 times higher (or 21% higher) in the narrower part. The ratio of length change in the 22 and 20 mm portions is
80*1 :: 70*1.21 or 80::84.7.
A). 48.6% of the length change (0.035 cm) is in the 22 mm wide portion. 51.4% of the length change (0.037 cm) is in the 20 mm wide portion.
B) The relative diameter changes are 30% of the
relative length change.
C) Let relative length change = e
Relative volume change = (1+e)*(1-0.3e)^2 -1
Similar Questions
  1. Which of the following best describes New England’s climate?(1 point) Responses short mild winters and short mild summers
    1. answers icon 1 answer
    1. answers icon 1 answer
  2. Question 9 / 10What type of climate did the Southern Colonies have? A. Cold with long summers and mild winters B. Hot with long
    1. answers icon 1 answer
  3. Which of the following best describes New England climate?short mild winters and short mild summers long mild winters and long
    1. answers icon 1 answer
more similar questions