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7. Using the moment-area method, find the slope and displacement at D. Assume A is fixed, and C is a roller. El is constant. 6k -12 ft 12 ft- 12 ft

7. Using the moment-area method, find the slope and displacement at D. Assume A is fixed, and C is a roller. El is constant. 6k -12 ft 12 ft- 12 ft

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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**Problem 7: Beam Analysis Using the Moment-Area Method** **Objective:** Using the moment-area method, find the slope and displacement at point D. Assume point A is fixed, and point C is a roller. The flexural rigidity \(EI\) is constant. **Diagram Description:** - A beam ABCD is shown in the diagram. - **Supports:** - Point A is shown as a fixed support. - Point C is depicted with a roller support. - **Dimensions:** - The beam is divided into three equal segments, each measuring 12 ft in length. - Segment AB is 12 ft, segment BC is 12 ft, and segment CD is 12 ft. - **Load:** - A vertical downward force of 6 kips (6 k) is applied at point D. This system is designed for analysis using the moment-area method to determine the internal moments and deflections at specified points along the beam.
Transcribed Image Text:**Problem 7: Beam Analysis Using the Moment-Area Method** **Objective:** Using the moment-area method, find the slope and displacement at point D. Assume point A is fixed, and point C is a roller. The flexural rigidity \(EI\) is constant. **Diagram Description:** - A beam ABCD is shown in the diagram. - **Supports:** - Point A is shown as a fixed support. - Point C is depicted with a roller support. - **Dimensions:** - The beam is divided into three equal segments, each measuring 12 ft in length. - Segment AB is 12 ft, segment BC is 12 ft, and segment CD is 12 ft. - **Load:** - A vertical downward force of 6 kips (6 k) is applied at point D. This system is designed for analysis using the moment-area method to determine the internal moments and deflections at specified points along the beam.
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