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.
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.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93c89597-7ce2-4451-bd61-6716aa1c2201%2F68d48fe6-a5be-4429-9f1a-b3b22c908158%2Fsbm6kog_processed.jpeg&w=3840&q=75)
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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