The compound beam is fixed supported at C and supported by rockers at A and B. If there are hinges (pins) at D and E, determine the components of reactions at the rocker supports at A and B and the fixed support at C. Neglect the thickness of the beam. Y00 1b 390 1b 300 1b 150 ib 13/12 200 Ib fe A DY C B E E-6 ft-4 ft--4 ft--4 ft---+ -8 ft- 2ft 2 ft 2 ft

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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**Title: Structural Analysis of a Compound Beam**

**Problem Statement:**

The compound beam is fixed supported at point C and supported by rockers at points A and B. If there are hinges (pins) at points D and E, determine the components of reactions at the rocker supports at A and B and the fixed support at C. Neglect the thickness of the beam.

**Diagram Explanation:**

- **Beam Layout:**
  The beam is horizontally aligned with supports and forces applied at specific intervals.
  
- **Supports:**
  - **Point A:** Rocker support located 2 feet from the left end, with a load of 300 lb acting downward.
  - **Point B:** Rocker support located 10 feet from the left end (6 feet from A), with a load of 150 lb acting downward.
  - **Point C:** Fixed support located 18 feet from the left end (with increasing distances between loads).

- **Forces:**
  - **A Moment at A:** 200 lb-ft counterclockwise.
  - **Load at D:** 400 lb acting downward, positioned 4 feet from B (total 14 feet from A).
  - **Load at E:** 390 lb acting downward, positioned 2 feet from D (total 16 feet from A).

- **Dimensions:**
  - The beam segments are indicated as follows:
    - First segment: 6 feet between A and the next force application (300 lb).
    - Second segment: 4 feet between A and B.
    - Third segment: 4 feet between B and D.
    - Fourth segment: 2 feet between D and E.
    - Fifth segment: 2 feet between E and C.
  
The task is to calculate the reactions at the supports A, B, and C, considering the applied forces and moments.
Transcribed Image Text:**Title: Structural Analysis of a Compound Beam** **Problem Statement:** The compound beam is fixed supported at point C and supported by rockers at points A and B. If there are hinges (pins) at points D and E, determine the components of reactions at the rocker supports at A and B and the fixed support at C. Neglect the thickness of the beam. **Diagram Explanation:** - **Beam Layout:** The beam is horizontally aligned with supports and forces applied at specific intervals. - **Supports:** - **Point A:** Rocker support located 2 feet from the left end, with a load of 300 lb acting downward. - **Point B:** Rocker support located 10 feet from the left end (6 feet from A), with a load of 150 lb acting downward. - **Point C:** Fixed support located 18 feet from the left end (with increasing distances between loads). - **Forces:** - **A Moment at A:** 200 lb-ft counterclockwise. - **Load at D:** 400 lb acting downward, positioned 4 feet from B (total 14 feet from A). - **Load at E:** 390 lb acting downward, positioned 2 feet from D (total 16 feet from A). - **Dimensions:** - The beam segments are indicated as follows: - First segment: 6 feet between A and the next force application (300 lb). - Second segment: 4 feet between A and B. - Third segment: 4 feet between B and D. - Fourth segment: 2 feet between D and E. - Fifth segment: 2 feet between E and C. The task is to calculate the reactions at the supports A, B, and C, considering the applied forces and moments.
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