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Problem 4. A hollow circular tube T of length L=15 in is compressed by a force P acting through a rigid plate as shown in the figure. The outside and inner diameters of the tube are 3.0 in and 2.75 in. A solid circular bar B having a diameter 1.5 in is installed inside the tube. Before applying the load, there is gap between the tube and the bar. The original gap c=0.010 in. Both bar and tube are made of an elasto-plastic material having a modulus of elasticity E= 29x10³ ksi and yielding stress oy=36 ksi. • Determine the load Py that causes first yielding. ● Determine the shortening of the tube at Py. Determine the ultimate plastic load Pu. Determine the shortening of the tube when Pu is just reached. gap c ● P Bar B T L=15 in tube T

Problem 4. A hollow circular tube T of length L=15 in is compressed by a force P acting through a rigid plate as shown in the figure. The outside and inner diameters of the tube are 3.0 in and 2.75 in. A solid circular bar B having a diameter 1.5 in is installed inside the tube. Before applying the load, there is gap between the tube and the bar. The original gap c=0.010 in. Both bar and tube are made of an elasto-plastic material having a modulus of elasticity E= 29x10³ ksi and yielding stress oy=36 ksi. • Determine the load Py that causes first yielding. ● Determine the shortening of the tube at Py. Determine the ultimate plastic load Pu. Determine the shortening of the tube when Pu is just reached. gap c ● P Bar B T L=15 in tube T

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter10: Force And Force-related Variables In Engineering
Section: Chapter Questions
Problem 24P
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Problem 4. A hollow circular tube T of length L=15 in is compressed by a force P acting through a rigid plate as shown in the figure. The outside and inner diameters of the tube are 3.0 in and 2.75 in. A solid circular bar B having a diameter 1.5 in is installed inside the tube. Before applying the load, there is gap between the tube and the bar. The original gap c=0.010 in. Both bar and tube are made of an elasto-plastic material having a modulus of elasticity E= 29x10³ ksi and yielding stress oy 36 ksi. gap c ● ● P Determine the load Py that causes first yielding. Determine the shortening of the tube at Py. Determine the ultimate plastic load Pu. Determine the shortening of the tube when Pu is just reached. Bar B T L=15 in tube T
Transcribed Image Text:Problem 4. A hollow circular tube T of length L=15 in is compressed by a force P acting through a rigid plate as shown in the figure. The outside and inner diameters of the tube are 3.0 in and 2.75 in. A solid circular bar B having a diameter 1.5 in is installed inside the tube. Before applying the load, there is gap between the tube and the bar. The original gap c=0.010 in. Both bar and tube are made of an elasto-plastic material having a modulus of elasticity E= 29x10³ ksi and yielding stress oy 36 ksi. gap c ● ● P Determine the load Py that causes first yielding. Determine the shortening of the tube at Py. Determine the ultimate plastic load Pu. Determine the shortening of the tube when Pu is just reached. Bar B T L=15 in tube T
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