can you answer both parts

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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can you answer both parts

**Problem Description:**

The rigid, T-shaped bar shown is supported by a pin at A and a smooth surface at B. A linear elastic spring connects at C, with its stretch and spring constant (k) provided on the figure. The spring is elongated (stretched out), and the system is at equilibrium. The figure is not drawn to scale.

**Tasks:**

a) Sketch a complete Free Body Diagram (FBD) of the T-shaped bar appropriate for determining the support reactions.

b) Use your FBD to determine the support reaction(s) at points A and B. Show all work.

**Figure Description:**

- A vertical bar is pinned at point A.
- The horizontal arm extends to the right from A, with points C and B marked.
- The lengths between A and C, and C and B, are both 6 inches.
- The bar has a vertical downward segment from point C.
- A spring is attached vertically from point C downwards, reaching a fixed point on the ground.
- The spring constant (k) is 50 lb/in, and the spring is stretched by 0.25 inches.
- At point B, there is a smooth surface, and a force is shown acting at an angle of 4° to the horizontal.

**Diagram Explanation:**

- Angles and dimensions are critical for determining geometric relationships and analyzing forces.
- The spring elongation indicates a force exerted by the spring.
- The diagram will be used to calculate the equilibrium and forces at support points based on these given parameters.
Transcribed Image Text:**Problem Description:** The rigid, T-shaped bar shown is supported by a pin at A and a smooth surface at B. A linear elastic spring connects at C, with its stretch and spring constant (k) provided on the figure. The spring is elongated (stretched out), and the system is at equilibrium. The figure is not drawn to scale. **Tasks:** a) Sketch a complete Free Body Diagram (FBD) of the T-shaped bar appropriate for determining the support reactions. b) Use your FBD to determine the support reaction(s) at points A and B. Show all work. **Figure Description:** - A vertical bar is pinned at point A. - The horizontal arm extends to the right from A, with points C and B marked. - The lengths between A and C, and C and B, are both 6 inches. - The bar has a vertical downward segment from point C. - A spring is attached vertically from point C downwards, reaching a fixed point on the ground. - The spring constant (k) is 50 lb/in, and the spring is stretched by 0.25 inches. - At point B, there is a smooth surface, and a force is shown acting at an angle of 4° to the horizontal. **Diagram Explanation:** - Angles and dimensions are critical for determining geometric relationships and analyzing forces. - The spring elongation indicates a force exerted by the spring. - The diagram will be used to calculate the equilibrium and forces at support points based on these given parameters.
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