The cylindrical pressure vessel shown in the figure has an inside diameter of 980 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 = 27.5 GPa. Two strain gages are mounted on the exterior surface of the cylinder at right angles to each other. The angle θ is 21°. If the pressure in the vessel is 1.86 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 σ_n and σ_t.
(d) the shear stress τ_nt.
Answers:
(a)
ε_x = _____ με
ε_y = _____ με
(b)
ε_a = _____ με
ε_b = _____ με
(c)
σ_n = _____ MPa
σ_t = _____ MPa
(d)
τ_nt = _____ MPa
The cylindrical pressure vessel shown in the figure has an inside diameter of 980 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...
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