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.
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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.
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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