2. A steel shaft rotating at 600 rpm is supported by two bearings as shown. E=30 Mşi, d=1.0" (inch), L₁=24.0" (inches), L=42" (inches), W₁-50 lb, Neglect the weight of the shaft. "The design is acceptable." True ? Show details. or False Diameter d W₁
2. A steel shaft rotating at 600 rpm is supported by two bearings as shown. E=30 Mşi, d=1.0" (inch), L₁=24.0" (inches), L=42" (inches), W₁-50 lb, Neglect the weight of the shaft. "The design is acceptable." True ? Show details. or False Diameter d W₁
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:**Problem Statement:**
A steel shaft rotating at 600 rpm is supported by two bearings as shown. The parameters are given as follows:
- Modulus of Elasticity, \( E = 30 \) Msi
- Diameter, \( d = 1.0 \) inch
- Distance from left bearing to load, \( L_1 = 24.0 \) inches
- Total length of the shaft, \( L = 42 \) inches
- Applied load, \( W_1 = 50 \) lb
Neglect the weight of the shaft.
Question: "The design is acceptable." Is this statement true or false? Show details.
**Diagram Explanation:**
The diagram included consists of:
- A horizontal shaft with two bearings, depicted as crossed rectangles.
- A force, \( W_1 \), is applied at a point on the shaft.
- Key lengths are marked:
- \( L_1 \) is the distance from the leftmost bearing to the point where the load \( W_1 \) is applied.
- \( L \) is the total length of the shaft.
- The diameter \( d \) of the shaft is noted and marked with a double-headed arrow perpendicular to the shaft.
Understanding whether the design is acceptable involves calculating stresses and deflections in the shaft and comparing them to allowable values determined by design standards.
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Step 1: Evaluate the reaction forces at bearing supports.
VIEWStep 2: Evaluate the maximum shear force and maximum bending moment.
VIEWStep 3: Evaluate maximum bending stress and maximum shear force acting on the shaft.
VIEWStep 4: Analyze the shaft for normal stress design in dynamic condition.
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