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A pipe has an external diameter Do = 0.5 inches and internal diameter Di = .438 inches. Both ends of the pipe are closed with caps. An axial force F = 2500 lbf is applied to each cap. Determine the maximum pressure p that can be applied to the inside of the pipe if the maximum absolute shear stress should not exceed 40 ksi. Do Di

A pipe has an external diameter Do = 0.5 inches and internal diameter Di = .438 inches. Both ends of the pipe are closed with caps. An axial force F = 2500 lbf is applied to each cap. Determine the maximum pressure p that can be applied to the inside of the pipe if the maximum absolute shear stress should not exceed 40 ksi. Do Di

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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### Problem Statement A pipe has an external diameter \( D_o = 0.5 \) inches and an internal diameter \( D_i = 0.438 \) inches. Both ends of the pipe are closed with caps. An axial force \( F = 2500 \) lbf is applied to each cap. Determine the maximum pressure \( p \) that can be applied to the inside of the pipe if the maximum absolute shear stress should not exceed 40 ksi. ### Diagram Explanation The diagram illustrates a cylindrical pipe with the following features: - **Pipe Sections**: - The external diameter is labeled as \( D_o \). - The internal diameter is labeled as \( D_i \). - The pressure inside the pipe is labeled \( p \). - **Forces Applied**: - Axial forces \( F \) are applied on both ends of the pipe, shown with green arrows pointing outward from the caps. - **Dimensions**: - The length of the pipe is annotated between the ends where the forces are applied, showing the external and internal diameters. This setup requires calculating the maximum internal pressure while ensuring that the shear stress does not exceed the specified limit.
Transcribed Image Text:### Problem Statement A pipe has an external diameter \( D_o = 0.5 \) inches and an internal diameter \( D_i = 0.438 \) inches. Both ends of the pipe are closed with caps. An axial force \( F = 2500 \) lbf is applied to each cap. Determine the maximum pressure \( p \) that can be applied to the inside of the pipe if the maximum absolute shear stress should not exceed 40 ksi. ### Diagram Explanation The diagram illustrates a cylindrical pipe with the following features: - **Pipe Sections**: - The external diameter is labeled as \( D_o \). - The internal diameter is labeled as \( D_i \). - The pressure inside the pipe is labeled \( p \). - **Forces Applied**: - Axial forces \( F \) are applied on both ends of the pipe, shown with green arrows pointing outward from the caps. - **Dimensions**: - The length of the pipe is annotated between the ends where the forces are applied, showing the external and internal diameters. This setup requires calculating the maximum internal pressure while ensuring that the shear stress does not exceed the specified limit.
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