Determine (A) the tension in wire AH, (B) the reactions at C and D. Assume that the bearing at D does not exert any axial thrust.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Determine (A) the tension in wire AH, (B) the reactions at C and D.

Assume that the bearing at D does not exert any axial thrust.

In the given figure, the bent rod ABEF is supported by bearings at C and D and by wire AH. The portion AB of the rod is 250 mm long, and the load \( W \) is 520 N. Assume that the bearing at \( D \) does not exert any axial thrust.

Dimensions:
- Portion AB: 250 mm
- Portion CD: 300 mm
- Portion DE: 250 mm
- Height FH: 250 mm
- Distance FG: 50 mm

Angles:
- \(\angle BAH = 30^\circ\)

Diagram Explanation:
- The rod forms a zig-zag shape with points A, B, C, D, E, and F.
- Wire AH is connected to the rod at point A and extends vertically to a fixed point H, supporting the structure.
- The rod is supported horizontally by bearings at C and D.
- A vertical load \( W = 520 \, \text{N} \) acts at point F.
  
Task:
Draw the free-body diagram needed to determine the tension in wire AH and the reactions at C and D.
Transcribed Image Text:In the given figure, the bent rod ABEF is supported by bearings at C and D and by wire AH. The portion AB of the rod is 250 mm long, and the load \( W \) is 520 N. Assume that the bearing at \( D \) does not exert any axial thrust. Dimensions: - Portion AB: 250 mm - Portion CD: 300 mm - Portion DE: 250 mm - Height FH: 250 mm - Distance FG: 50 mm Angles: - \(\angle BAH = 30^\circ\) Diagram Explanation: - The rod forms a zig-zag shape with points A, B, C, D, E, and F. - Wire AH is connected to the rod at point A and extends vertically to a fixed point H, supporting the structure. - The rod is supported horizontally by bearings at C and D. - A vertical load \( W = 520 \, \text{N} \) acts at point F. Task: Draw the free-body diagram needed to determine the tension in wire AH and the reactions at C and D.
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