We are given the vertical cantilever of Fig. 1, which is subjected to a horizontal distributed load with linearly varying magnitude, as shown in the same figure. We are also given that EI = 106 kip-in². Determine the function of horizontal displacements along the cantilever, and the horizontal displacement of point B, using the method of double integration.
We are given the vertical cantilever of Fig. 1, which is subjected to a horizontal distributed load with linearly varying magnitude, as shown in the same figure. We are also given that EI = 106 kip-in². Determine the function of horizontal displacements along the cantilever, and the horizontal displacement of point B, using the method of double integration.
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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![We are given the vertical cantilever of Fig. 1, which is subjected to a horizontal distributed load with linearly varying magnitude, as shown in the same figure. We are also given that EI = 10⁶ kip-in². Determine the function of horizontal displacements along the cantilever, and the horizontal displacement of point B, using the method of double integration.
**Figure 1 Explanation:**
- The cantilever is vertical and has a length of 10 feet from point A (fixed point) to point B (free end).
- A linearly varying distributed load is applied horizontally on the cantilever. The load starts at 5 kip/ft at the free end (point B) and decreases linearly to zero near the fixed end (point A).
- The base of the triangle representing the load is aligned along the length of the cantilever.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc1fdaa1c-db9c-48f3-803b-226267595299%2F26616a90-a64b-4304-ba1e-8b91e6c38683%2Fbnlgeoh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:We are given the vertical cantilever of Fig. 1, which is subjected to a horizontal distributed load with linearly varying magnitude, as shown in the same figure. We are also given that EI = 10⁶ kip-in². Determine the function of horizontal displacements along the cantilever, and the horizontal displacement of point B, using the method of double integration.
**Figure 1 Explanation:**
- The cantilever is vertical and has a length of 10 feet from point A (fixed point) to point B (free end).
- A linearly varying distributed load is applied horizontally on the cantilever. The load starts at 5 kip/ft at the free end (point B) and decreases linearly to zero near the fixed end (point A).
- The base of the triangle representing the load is aligned along the length of the cantilever.
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