Problem 2 P A 40 kips 30 in. 30 kips B 30 kips 40 in. Two solid cylindrical rods AB and BC are welded together at B and loaded as shown. Determine the magnitude of the force P for which the tensile stress in rod AB is twice the magnitude of the compressive stress in rod BC.

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**Problem 2**

In this problem, we have two solid cylindrical rods, labeled \(AB\) and \(BC\), which are welded together at point \(B\) and subjected to forces as shown in the diagram. 

Diagram Explanation:
- Rod \(AB\) has a diameter of 2 inches and a length of 30 inches.
- Rod \(BC\) has a diameter of 3 inches and a length of 40 inches.
- There is a compressive force of \(P = -40 \text{ kips}\) applied at point \(A\).
- There are two tensile forces of 30 kips each applied at point \(B\), pulling away from point B.

The task is to determine the magnitude of the force \(P\) such that the tensile stress in rod \(AB\) is twice the compressive stress in rod \(BC\).
Transcribed Image Text:**Problem 2** In this problem, we have two solid cylindrical rods, labeled \(AB\) and \(BC\), which are welded together at point \(B\) and subjected to forces as shown in the diagram. Diagram Explanation: - Rod \(AB\) has a diameter of 2 inches and a length of 30 inches. - Rod \(BC\) has a diameter of 3 inches and a length of 40 inches. - There is a compressive force of \(P = -40 \text{ kips}\) applied at point \(A\). - There are two tensile forces of 30 kips each applied at point \(B\), pulling away from point B. The task is to determine the magnitude of the force \(P\) such that the tensile stress in rod \(AB\) is twice the compressive stress in rod \(BC\).
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We have to find the force P

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