Prob. 2.2-2. The structural tee shown in Fig. P2.2-2 supports a compressive load P = 200 kN. (a) Determine the coordi- nate ya of the point R in the cross section where the load must act in order to produce uniform compressive axial stress in the member, and (b) determine the magnitude of that compressive stress.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Problem 2.2-2**

The structural tee shown in Fig. P2.2-2 supports a compressive load \(P = 200 \text{ kN}\).

(a) Determine the coordinate \( y_R\) of the point \( R\) in the cross-section where the load must act in order to produce uniform compressive axial stress in the member.

(b) Determine the magnitude of that compressive stress.

**Description and Explanation of Figures:**

**Figure (a):**
- This figure illustrates the structural tee with a compressive load \(P\) applied from both sides.

**Figure (b):**
- This figure presents a detailed cross-sectional view of the structural tee.
- Dimensions are specified for clarity:
    - The horizontal segment of the tee has a width of \(150 \text{ mm}\) (split into two sections of \(75 \text{ mm}\) each).
    - The vertical segment of the tee has a height of \(120 \text{ mm}\), with an additional \(8 \text{ mm}\) added for reinforcement.
    - The thickness of both segments of the tee is \(13 \text{ mm}\).
    - Point \( R\) is labelled, representing the point where the load must act to produce uniform stress.

**Objective:**
- To find the coordinate \( y_R \) and the corresponding compressive stress value that ensures uniform compressive stress across the structural member's cross section.

**Figure P2.2-2:**
- The figure summarises the necessary details needed to solve the problem, ensuring comprehension of the physical dimensions and forces involved.
Transcribed Image Text:**Problem 2.2-2** The structural tee shown in Fig. P2.2-2 supports a compressive load \(P = 200 \text{ kN}\). (a) Determine the coordinate \( y_R\) of the point \( R\) in the cross-section where the load must act in order to produce uniform compressive axial stress in the member. (b) Determine the magnitude of that compressive stress. **Description and Explanation of Figures:** **Figure (a):** - This figure illustrates the structural tee with a compressive load \(P\) applied from both sides. **Figure (b):** - This figure presents a detailed cross-sectional view of the structural tee. - Dimensions are specified for clarity: - The horizontal segment of the tee has a width of \(150 \text{ mm}\) (split into two sections of \(75 \text{ mm}\) each). - The vertical segment of the tee has a height of \(120 \text{ mm}\), with an additional \(8 \text{ mm}\) added for reinforcement. - The thickness of both segments of the tee is \(13 \text{ mm}\). - Point \( R\) is labelled, representing the point where the load must act to produce uniform stress. **Objective:** - To find the coordinate \( y_R \) and the corresponding compressive stress value that ensures uniform compressive stress across the structural member's cross section. **Figure P2.2-2:** - The figure summarises the necessary details needed to solve the problem, ensuring comprehension of the physical dimensions and forces involved.
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