11-1 A fixed-end beam AB of length L supports a uniform load of intensity q (see figure). Using the fourth order of derivative of deflection curve, solve for the reactions.
11-1 A fixed-end beam AB of length L supports a uniform load of intensity q (see figure). Using the fourth order of derivative of deflection curve, solve for the reactions.
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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11-1 A fixed-end beam AB of length L supports a uniform load of intensity q (see figure). Using the fourth order of derivative of deflection curve, solve for the reactions.
Transcribed Image Text:### Transcription and Explanation of Diagram
**Text:**
11-1 A fixed-end beam AB of length \( L \) supports a uniform load of intensity \( q \) (see figure). Using the fourth order of derivative of deflection curve, solve for the reactions.
**Diagram:**
- The diagram shows a horizontal beam labeled AB, which is fixed at both ends.
- The beam is subjected to a uniform load, indicated by multiple downward arrows labeled \( q \) along its length.
- Length of the beam is represented by \( L \).
- Vertical and rotational reactions at point A are labeled as \( R_A \) and \( M_A \), respectively.
- Vertical and rotational reactions at point B are labeled as \( R_B \) and \( M_B \).
- Axes are marked with \( x \) and \( y \), with \( y \) indicating the vertical direction and \( x \) the horizontal direction.
This setup is typically analyzed to determine the reactions at the supports and the bending moments at A and B using the principles of structural analysis, specifically by utilizing the derivatives of the deflection curve to relate loading, shear, bending moment, slope, and deflection.
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