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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
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 \( h = \_\_\_\_\_ \, d \).
Transcribed Image Text: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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