Prob. 2.9-8. The steel eyebar in Fig. P2.9-8 has cross-sec- tional dimensions 25 mm x 100 mm. To obtain the required. length of bar, it is necessary to weld together two separate lengths along a diagonal joint that makes an angle with respect to the cross section. The stresses in the weld are limited to 125 MPa in tension and 75 MPa in shear. (a) Determine the optimum angle 0 (0 ≤ 0≤45°) for the welded joint. (b) Determine the maximum safe load for the optimally spliced bar. € G

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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**Problem 2.9-8: Steel Eyebar Weld Joint**

The steel eyebar depicted in Fig. P2.9-8 possesses cross-sectional dimensions of 25 mm by 100 mm. To achieve the requisite length of the bar, it is necessary to weld two separate lengths together along a diagonal joint, which forms an angle θ with respect to the cross section. Weld stresses are limited to 125 MPa in tension and 75 MPa in shear. Your tasks are:

(a) **Determine the optimal angle θ** (0 ≤ θ ≤ 45°) for the welded joint.

(b) **Determine the maximum safe load** for the optimally spliced bar.

**Description of the Diagram:**

The diagram associated with this problem shows two sections of a steel eyebar, each being subjected to a force P. The weld joint between the two sections is diagonal, forming an angle θ with the horizontal cross-section of the bar. The arrows indicating force P on both ends imply that the steel eyebar is under tensile load.

**Graph/Diagram Explanation:**

- **Left Image**: Shows one end of the steel eyebar with a hole for pin connection, subjected to a tensile force marked by an arrow labeled "P."
- **Right Image**: Displays the other end of the eyebar with a similar hole and force labeling. Between the two ends, a diagonal line represents the weld joint, making an angle θ with the horizontal axis, signifying the orientation of the weld.

### Educational Context:

This problem is essential in understanding the mechanical principles of stress distribution in welded joints and determining optimal angles to ensure maximum strength and safety in structural components. Analyzing such problems helps students and engineers design safer and more efficient structures.
Transcribed Image Text:**Problem 2.9-8: Steel Eyebar Weld Joint** The steel eyebar depicted in Fig. P2.9-8 possesses cross-sectional dimensions of 25 mm by 100 mm. To achieve the requisite length of the bar, it is necessary to weld two separate lengths together along a diagonal joint, which forms an angle θ with respect to the cross section. Weld stresses are limited to 125 MPa in tension and 75 MPa in shear. Your tasks are: (a) **Determine the optimal angle θ** (0 ≤ θ ≤ 45°) for the welded joint. (b) **Determine the maximum safe load** for the optimally spliced bar. **Description of the Diagram:** The diagram associated with this problem shows two sections of a steel eyebar, each being subjected to a force P. The weld joint between the two sections is diagonal, forming an angle θ with the horizontal cross-section of the bar. The arrows indicating force P on both ends imply that the steel eyebar is under tensile load. **Graph/Diagram Explanation:** - **Left Image**: Shows one end of the steel eyebar with a hole for pin connection, subjected to a tensile force marked by an arrow labeled "P." - **Right Image**: Displays the other end of the eyebar with a similar hole and force labeling. Between the two ends, a diagonal line represents the weld joint, making an angle θ with the horizontal axis, signifying the orientation of the weld. ### Educational Context: This problem is essential in understanding the mechanical principles of stress distribution in welded joints and determining optimal angles to ensure maximum strength and safety in structural components. Analyzing such problems helps students and engineers design safer and more efficient structures.
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