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A steel thick cylinder of external diameter 150 mm has two strain gauges fixed externally, one along the longitudinal axis and the other at right angles to read the hoop strain. The cylinder is subjected to an internal pressure of 75 MPa and this causes the following strains: (a) hoop gauge: 455 x 10 mm/mm tensile; (b) longitudinal gauge: 124 x 10 mm/mm tensile. Find the internal diameter of the cylinder assuming that Young's modulus for steel is 208 GPa and Poisson's ratio is 0.283.

A steel thick cylinder of external diameter 150 mm has two strain gauges fixed externally, one along the longitudinal axis and the other at right angles to read the hoop strain. The cylinder is subjected to an internal pressure of 75 MPa and this causes the following strains: (a) hoop gauge: 455 x 10 mm/mm tensile; (b) longitudinal gauge: 124 x 10 mm/mm tensile. Find the internal diameter of the cylinder assuming that Young's modulus for steel is 208 GPa and Poisson's ratio is 0.283.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A steel thick cylinder of external diameter 150 mm has two strain gauges fixed externally, one along the longitudinal axis and the other at right angles to read the hoop strain. The cylinder is subjected to an internal pressure of 75 MPa and this causes the following strains: (a) hoop gauge: 455 x 106 mm/mm tensile; (b) longitudinal gauge: 124 x 10 mm/mm tensile. Find the internal diameter of the cylinder assuming that Young's modulus for steel is 208 GPa and Poisson's ratio is 0.283.
Transcribed Image Text:A steel thick cylinder of external diameter 150 mm has two strain gauges fixed externally, one along the longitudinal axis and the other at right angles to read the hoop strain. The cylinder is subjected to an internal pressure of 75 MPa and this causes the following strains: (a) hoop gauge: 455 x 106 mm/mm tensile; (b) longitudinal gauge: 124 x 10 mm/mm tensile. Find the internal diameter of the cylinder assuming that Young's modulus for steel is 208 GPa and Poisson's ratio is 0.283.
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