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A lead cylinder is placed into a blind hole cut into a large tungsten block, Assume it is a tight fit. 50 MPa pressure is applied to the top of the cylinder. The cylinder is 100 mm long, and 25 mm in diameter. a) What pressure do you expect on the bottom of the cylinder? b) What pressure to you expect at the interface with the cylindrical walls? c) How much shorter will the cylinder get under load? d) What is the volume change? e) Suppose there was a "new lead alloy" where the supplier claimed it had a Poisson's ratio of 0.75. Explain why this claim defies logic

A lead cylinder is placed into a blind hole cut into a large tungsten block, Assume it is a tight fit. 50 MPa pressure is applied to the top of the cylinder. The cylinder is 100 mm long, and 25 mm in diameter. a) What pressure do you expect on the bottom of the cylinder? b) What pressure to you expect at the interface with the cylindrical walls? c) How much shorter will the cylinder get under load? d) What is the volume change? e) Suppose there was a "new lead alloy" where the supplier claimed it had a Poisson's ratio of 0.75. Explain why this claim defies logic

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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A lead cylinder is placed into a blind hole cut into a large tungsten block, Assume it is a tight fit. 50 MPa pressure is applied to the top of the cylinder. The cylinder is 100 mm long, and 25 mm in diameter. a) What pressure do you expect on the bottom of the cylinder? b) What pressure to you expect at the interface with the cylindrical walls? c) How much shorter will the cylinder get under load? d) What is the volume change? e) Suppose there was a "new lead alloy" where the supplier claimed it had a Poisson's ratio of 0.75. Explain why this claim defies logic.
Transcribed Image Text:A lead cylinder is placed into a blind hole cut into a large tungsten block, Assume it is a tight fit. 50 MPa pressure is applied to the top of the cylinder. The cylinder is 100 mm long, and 25 mm in diameter. a) What pressure do you expect on the bottom of the cylinder? b) What pressure to you expect at the interface with the cylindrical walls? c) How much shorter will the cylinder get under load? d) What is the volume change? e) Suppose there was a "new lead alloy" where the supplier claimed it had a Poisson's ratio of 0.75. Explain why this claim defies logic.
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