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
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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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
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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