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The frame shown is supported by a pin at A and a fixed support at D. There are internal hinges/pins at and C. Assume P = 5 kips and w = 1 kip/ft. Determine all of the external support reactions. Clearly st true direction of each reaction.

The frame shown is supported by a pin at A and a fixed support at D. There are internal hinges/pins at and C. Assume P = 5 kips and w = 1 kip/ft. Determine all of the external support reactions. Clearly st true direction of each reaction.

Elements Of Electromagnetics
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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**Problem Statement:** The frame shown is supported by a pin at A and a fixed support at D. There are internal hinges/pins at B and C. Assume \( P = 5 \) kips and \( w = 1 \) kip/ft. Determine all of the external support reactions. Clearly state the true direction of each reaction. **Diagram Explanation:** - **Frame Description:** - The frame consists of three segments with internal hinges/pins located at points B and C. - Segment AB is horizontal and 10 feet long. It is subjected to a uniformly distributed load (w) of 1 kip/ft. - Segment BD extends 8 feet horizontally from B to D. - Segment DC is vertical, with a height of 4 feet from D to C. - **Forces:** - A horizontal point load \( P = 5 \) kips is applied at point C, 2 feet above point D. - The uniformly distributed load on AB applies a total load of \( 10 \times 1 = 10 \) kips acting downward. - **Support Reactions:** - Pin support at A which allows rotation but resists vertical and horizontal forces. - Fixed support at D which resists vertical, horizontal forces, and provides a moment reaction. **Purpose:** Determine the reactions at supports A and D considering the loads applied on the structure. These reactions include forces in the vertical and horizontal directions as well as any moment reactions. Each reaction's direction must be clearly stated.
Transcribed Image Text:**Problem Statement:** The frame shown is supported by a pin at A and a fixed support at D. There are internal hinges/pins at B and C. Assume \( P = 5 \) kips and \( w = 1 \) kip/ft. Determine all of the external support reactions. Clearly state the true direction of each reaction. **Diagram Explanation:** - **Frame Description:** - The frame consists of three segments with internal hinges/pins located at points B and C. - Segment AB is horizontal and 10 feet long. It is subjected to a uniformly distributed load (w) of 1 kip/ft. - Segment BD extends 8 feet horizontally from B to D. - Segment DC is vertical, with a height of 4 feet from D to C. - **Forces:** - A horizontal point load \( P = 5 \) kips is applied at point C, 2 feet above point D. - The uniformly distributed load on AB applies a total load of \( 10 \times 1 = 10 \) kips acting downward. - **Support Reactions:** - Pin support at A which allows rotation but resists vertical and horizontal forces. - Fixed support at D which resists vertical, horizontal forces, and provides a moment reaction. **Purpose:** Determine the reactions at supports A and D considering the loads applied on the structure. These reactions include forces in the vertical and horizontal directions as well as any moment reactions. Each reaction's direction must be clearly stated.
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