We appreciate your visit to A hollow circular shaft has an outside diameter of 12 in and an inside diameter of 4 in The shaft is in equilibrium when the. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
The stress state at point A on the side of the hollow circular shaft is Ox = 1850 psi, Oy = 0 psi, and Txy = 1366 psi.
Explanation:
To determine the stress state at point A on the side of the shaft, we need to calculate the normal stresses in the X and Y directions (Ox and Oy) and the shear stress (Txy).
Given:
- Outside diameter of the shaft (D) = 12 in
- Inside diameter of the shaft (d) = 4 in
- Axial load (P) = 186,000 lb
- Vertical force (F) = 10,000 lb
First, we need to calculate the torque (T) applied to the shaft:
Torque (T) = Force (F) * Distance (r)
Distance (r) = 4 ft = 48 in
T = 10,000 lb * 48 in = 480,000 in-lb
Next, we can calculate the normal stresses in the X and Y directions:
Ox = P / (pi * (D^2 - d^2) / 4)
Oy = -F / (pi * (D^2 - d^2) / 4)
Substituting the given values:
Ox = 186,000 lb / (pi * (12^2 - 4^2) / 4) = 1850 psi
Oy = -10,000 lb / (pi * (12^2 - 4^2) / 4) = 0 psi
Finally, we can calculate the shear stress:
Txy = T / (pi * (D^2 - d^2) / 2)
Txy = 480,000 in-lb / (pi * (12^2 - 4^2) / 2) = 1366 psi
Therefore, the stress state at point A on the side of the shaft is:
Ox = 1850 psi, Oy = 0 psi, Txy = 1366 psi
Learn more about stress state of a hollow circular shaft here:
https://brainly.com/question/13001989
#SPJ14
Thanks for taking the time to read A hollow circular shaft has an outside diameter of 12 in and an inside diameter of 4 in The shaft is in equilibrium when the. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada