Determine the smallest diameter of the shaft. Use the maximum shear stress theory of failure with Tallow Express your answer to three significant figures and include appropriate units. = 8 ksi
Determine the smallest diameter of the shaft. Use the maximum shear stress theory of failure with Tallow Express your answer to three significant figures and include appropriate units. = 8 ksi
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:**Transcription for Educational Website:**
**The Shaft and Journal Bearings Analysis**
The shaft is supported by journal bearings at points \( A \) and \( B \), which exert force components only in the \( x \) and \( z \) directions.
**Diagram Explanation:**
The diagram illustrates a shaft supported by two journal bearings, labeled \( A \) and \( B \). The system includes components and forces as follows:
- A force \( F_{x} = 200 \, \text{lb} \) is applied at a distance of 8 inches from the bearing \( A \), on a gear wheel located on the left side.
- The shaft spans a total distance with segments of 8 inches, marked between force applications and bearings.
- A second gear, located in the middle, experiences a force \( F_{y} = 50 \, \text{lb} \), applied in the \( y \) direction.
- On the right side, another force \( F_{z} = 250 \, \text{lb} \) acts perpendicular to the position of bearing \( B \), again 8 inches away from it.
- Each gear wheel is spaced at equal intervals of 8 inches along the shaft, with an additional 4 inches extending beyond the gears at each end.
**Part A: Calculation Task**
**Objective:**
Determine the smallest diameter of the shaft using the maximum shear stress theory of failure with an allowable shear stress \( \tau_{\text{allow}} = 8 \, \text{ksi} \).
**Instructions:**
Express the calculated diameter to three significant figures and include appropriate units in your response.
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