A steel bar 50 mm wide, 12mm thick and 300 mm long is subjected to an axial pull of 84 kN. Find the changes in the length, width, thickness and the volume of the bar. Take E = 200 GPa and Poisson's ratio= 0.32

A steel bar 50 mm wide, 12mm thick and 300 mm long is subjected to an axial pull of 84 kN. Find the changes in the length, width, thickness and the volume of the bar. Take E = 200 GPa and Poisson's ratio= 0.32

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.2.8P: A spherical steel pressure vessel (diameter 500 mm, thickness 10 mm) is coated with brittle lacquer...

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Concept explainers

Pressure Vessels

The term pressure vessel refers to a closed container that contains gas or liquid at a different pressure than environment pressure. The pressure vessels have a wide scale of applications in our day-to-day lives and other industrial places. Some common examples of pressure vessels are gas cylinders, autoclaves, compressor vessels, etc.

Question

δt = 0.0027mm (decrease), δV = 45.36mm³ (increase)]

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Step 1 Expressions of axial deformation and volume change of the bar.

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Step 2 Calculation of changes in dimensions of the bar.

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Step 3 Calculation of change in volume of the bar.

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