10.4 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 MN/m² and this causes the following strains: (a) hoop gauge: 455 × 10-6 tensile. (b) longitudinal gauge: 124 × 10-6 tensile. Find the internal diameter of the cylinder assuming that Young's modulus for steel is 208 GN/m² and Poisson's ratio is 0.283. [96.7 mm]

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10.4 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 MN/m² and this causes
the following strains:
(a) hoop gauge: 455 x 10-6 tensile.
(b) longitudinal gauge: 124 x 10-6 tensile.
Find the internal diameter of the cylinder assuming that Young's modulus for steel is
208 GN/m² and Poisson's ratio is 0.283.
[96.7 mm]
Transcribed Image Text:10.4 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 MN/m² and this causes the following strains: (a) hoop gauge: 455 x 10-6 tensile. (b) longitudinal gauge: 124 x 10-6 tensile. Find the internal diameter of the cylinder assuming that Young's modulus for steel is 208 GN/m² and Poisson's ratio is 0.283. [96.7 mm]
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