Problem 2 The King-Post structure shown has a beam and three truss members. E = 29000 ksi, I = 400 in², A = 1.25 in² 1) Determine the tension in members AC and BC 2) Determine the maximum moment in beam ADB A $ 12 ft K O вок D iz ft KIFL B A 5 ft D

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Problem 2**

The King-Post structure shown has a beam and three truss members.

- \( E = 29000 \, \text{ksi} \)
- \( I = 400 \, \text{in}^2 \)
- \( A = 1.25 \, \text{in}^2 \)

**Tasks:**

1) Determine the tension in members AC and BC.
2) Determine the maximum moment in beam ADB.

**Diagram Explanation:**

The diagram depicts a King-Post truss structure:

- Point A is on the left and appears to be a support with a hinge.
- Point B is on the right, also supported, with a roller.
- The horizontal beam AB is divided into two equal lengths of 12 ft each, from A to D and D to B.
- An external load of 80 kips is applied downward at point D.
- Members AC and BC are inclined, both spanning from points A and B to a central bottom point C, forming two triangles with the beam, each having horizontal spans of 12 ft and vertical drops of 5 ft.

The diagram is set on graph paper for clarity, with a clear indication of points and dimensions. It is used to determine the structural responses of this King-Post truss under the given load.
Transcribed Image Text:**Problem 2** The King-Post structure shown has a beam and three truss members. - \( E = 29000 \, \text{ksi} \) - \( I = 400 \, \text{in}^2 \) - \( A = 1.25 \, \text{in}^2 \) **Tasks:** 1) Determine the tension in members AC and BC. 2) Determine the maximum moment in beam ADB. **Diagram Explanation:** The diagram depicts a King-Post truss structure: - Point A is on the left and appears to be a support with a hinge. - Point B is on the right, also supported, with a roller. - The horizontal beam AB is divided into two equal lengths of 12 ft each, from A to D and D to B. - An external load of 80 kips is applied downward at point D. - Members AC and BC are inclined, both spanning from points A and B to a central bottom point C, forming two triangles with the beam, each having horizontal spans of 12 ft and vertical drops of 5 ft. The diagram is set on graph paper for clarity, with a clear indication of points and dimensions. It is used to determine the structural responses of this King-Post truss under the given load.
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