A hollow mast of circular section as shown is to be stiffened by bonding two strips of the same material and of rectangular section to the mast throughout its length. Determine the proper dimension h of each near-rectangle which will exactly double the stiffness of the mast to bending in the y-z plane. (Stiffness in the y-z plane is proportional to the area moment of inertia about the x-axis.) Take the inner boundary of each
A hollow mast of circular section as shown is to be stiffened by bonding two strips of the same material and of rectangular section to the mast throughout its length. Determine the proper dimension h of each near-rectangle which will exactly double the stiffness of the mast to bending in the y-z plane. (Stiffness in the y-z plane is proportional to the area moment of inertia about the x-axis.) Take the inner boundary of each
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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A hollow mast of circular section as shown is to be stiffened by bonding two strips of the same material and of rectangular section to the mast throughout its length. Determine the proper dimension h of each near-rectangle which will exactly double the stiffness of the mast to bending in the y-z plane. (Stiffness in the y-z plane is proportional to the area moment of inertia about the x-axis.) Take the inner boundary of each strip to be a straight line.
Assume d = 100 mm, D = 215 mm, w = 50 mm.
![A hollow mast of circular section as shown is to be stiffened by bonding two strips of the same material and of rectangular section to the mast throughout its length. Determine the proper dimension \(h\) of each near-rectangle which will exactly double the stiffness of the mast to bending in the y-z plane. (Stiffness in the y-z plane is proportional to the area moment of inertia about the x-axis.) Take the inner boundary of each strip to be a straight line.
Assume \(d = 100 \, \text{mm}\), \(D = 215 \, \text{mm}\), \(w = 50 \, \text{mm}\).
Answer: \(h = \) [input field] mm
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**Diagram Explanation:**
The diagram shows a circular section with an outer diameter \(D\) and an inner diameter \(d\). Two rectangular strips are attached symmetrically on either side of the circle along the vertical y-axis. These strips have a width \(w\) and a height \(h\).
The circle is centered at the origin with its horizontal and vertical axes labeled \(x\) and \(y\) respectively, bisecting the circle. The strips extend vertically, with their inner boundaries aligning with the circle's circumference.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8d1b31df-0f67-47d9-936e-b5ce55c8aa00%2F8493a936-ef68-4b53-ab7b-70e138e85da8%2Frjfalqq_processed.png&w=3840&q=75)
Transcribed Image Text:A hollow mast of circular section as shown is to be stiffened by bonding two strips of the same material and of rectangular section to the mast throughout its length. Determine the proper dimension \(h\) of each near-rectangle which will exactly double the stiffness of the mast to bending in the y-z plane. (Stiffness in the y-z plane is proportional to the area moment of inertia about the x-axis.) Take the inner boundary of each strip to be a straight line.
Assume \(d = 100 \, \text{mm}\), \(D = 215 \, \text{mm}\), \(w = 50 \, \text{mm}\).
Answer: \(h = \) [input field] mm
---
**Diagram Explanation:**
The diagram shows a circular section with an outer diameter \(D\) and an inner diameter \(d\). Two rectangular strips are attached symmetrically on either side of the circle along the vertical y-axis. These strips have a width \(w\) and a height \(h\).
The circle is centered at the origin with its horizontal and vertical axes labeled \(x\) and \(y\) respectively, bisecting the circle. The strips extend vertically, with their inner boundaries aligning with the circle's circumference.
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