An offset \( h \) must be introduced into a solid circular rod of diameter \( d \). Knowing that the maximum stress after the offset is introduced must not exceed 4 times the stress in the rod when it is straight, determine the largest offset that can be used.**Diagram Explanation:**Two diagrams of the rod are shown:1. **Top Diagram:** - A straight rod with diameter \( d \). - Two horizontal arrows labeled \( P' \) indicate the forces acting on the rod.2. **Bottom Diagram:** - The same rod with an offset \( h \) introduced. - The rod still has a diameter \( d \). - Two horizontal arrows labeled \( P \) indicate the forces acting on the offset rod. - The height of the offset \( h \) is marked perpendicular to the rod's length.The largest offset that can be used is \( h = \_\_\_\_\_ \, d \).

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An offset h must be introduced into a solid circular rod of diameter d. Knowing that the maximum stress after the offset is introduced must not exceed 4 times the stress in the rod when it is straight, determine the largest offset that can be used.

An offset h must be introduced into a solid circular rod of diameter d. Knowing that the maximum stress after the offset is introduced must not exceed 4 times the stress in the rod when it is straight, determine the largest offset that can be used.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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An offset \( h \) must be introduced into a solid circular rod of diameter \( d \). Knowing that the maximum stress after the offset is introduced must not exceed 4 times the stress in the rod when it is straight, determine the largest offset that can be used.

**Diagram Explanation:**

Two diagrams of the rod are shown:

1. **Top Diagram:**
- A straight rod with diameter \( d \).
- Two horizontal arrows labeled \( P' \) indicate the forces acting on the rod.

2. **Bottom Diagram:**
- The same rod with an offset \( h \) introduced.
- The rod still has a diameter \( d \).
- Two horizontal arrows labeled \( P \) indicate the forces acting on the offset rod.
- The height of the offset \( h \) is marked perpendicular to the rod's length.

The largest offset that can be used is \( h = \_\_\_\_\_ \, d \).

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