The cylindrical pressure vessel shown in the figure has an inside diameter of 995 mm and a wall thickness of 12 mm. The cylinder is made of an aluminum alloy that has an elastic modulus of E = 72 GPa and a shear modulus of G = 27.3 GPa. Two strain gages are mounted on the exterior surface of the cylinder at right angles to each other. The angle O is 24°. If the pressure in the vessel is 1.81 MPa, determine: (a) the strains that act in the x and y directions. (b) the strains expected in gages a and b. (c) the normal stresses o, ando,. (d) the shear stress Tnt. 90°

The cylindrical pressure vessel shown in the figure has an inside diameter of 995 mm and a wall thickness of 12 mm. The cylinder is made of an aluminum alloy that has an elastic modulus of E = 72 GPa and a shear modulus of G = 27.3 GPa. Two strain gages are mounted on the exterior surface of the cylinder at right angles to each other. The angle O is 24°. If the pressure in the vessel is 1.81 MPa, determine: (a) the strains that act in the x and y directions. (b) the strains expected in gages a and b. (c) the normal stresses o, ando,. (d) the shear stress Tnt. 90°

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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Pressure and Stress

Question

The cylindrical pressure vessel shown in the figure has an inside diameter of 995 mm and a wall thickness of 12 mm. The cylinder is
made of an aluminum alloy that has an elastic modulus of E = 72 GPa and a shear modulus of G = 27.3 GPa. Two strain gages are
mounted on the exterior surface of the cylinder at right angles to each other. The angle O is 24°. If the pressure in the vessel is 1.81
MPa, determine:
(a) the strains that act in the x and y directions.
(b) the strains expected in gages a and b.
(c) the normal stresses o, and o.
(d) the shear stresS Trt .
b.
90°

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