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QUESTION 3 A thin cylinder 3 m internal diameter, 8 m long with walls 4 mm thick is subjected to an internal pressure of 30 kN/m², v=0.3, E=210 GPa. Determine: (a) The hoop stress and longitudinal stress. (b) The change in internal diameter and the change in length. (c) If, in addition to the internal pressure, the cylinder is subject to a torque of 50 Nm find the magnitude of the principal stresses set up in the cylinder.

Name: question 3 a thin cylinder 3 m internal diameter 8 m long with walls 4 mm thick is subjected to an internal pressure of 30 knm2 v03 e210 gpa determine a the hoop stress and longitudinal stre 48366
Uploaded: 2024-05-02T04:08:58-08:00
Duration: 6 min 7 s
Channel: Adi S
Description: question 3 a thin cylinder 3 m internal diameter 8 m long with walls 4 mm thick is subjected to an internal pressure of 30 knm2 v03 e210 gpa determine a the hoop stress and longitudinal stre 48366

          QUESTION 3
A thin cylinder 3 m internal diameter, 8 m long with walls 4 mm thick is subjected to an internal
pressure of 30 kN/m², v=0.3, E=210 GPa. Determine:
(a) The hoop stress and longitudinal stress.
(b) The change in internal diameter and the change in length.
(c) If, in addition to the internal pressure, the cylinder is subject to a torque of 50 Nm find the
magnitude of the principal stresses set up in the cylinder.

question 3 a thin cylinder 3 m internal diameter 8 m long with walls 4 mm thick is subjected to an internal pressure of 30 knm2 v03 e210 gpa determine a the hoop stress and longitudinal stre 48366

Added by Andrew W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

05/02/2024

Step 1

004$ m Internal pressure, $p = 30$ kN/m$^2 = 30 \times 10^3$ N/m$^2$ Poisson's ratio, $\nu = 0.3$ Young's modulus, $E = 210$ GPa $= 210 \times 10^9$ N/m$^2$ Hoop stress, $\sigma_h = \frac{pd}{2t} = \frac{30 \times 10^3 \times 3}{2 \times 0.004} = \frac{90 \times Show more…

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QUESTION 3 A thin cylinder 3 m internal diameter, 8 m long with walls 4 mm thick is subjected to an internal pressure of 30 kN/m², v=0.3, E=210 GPa. Determine: (a) The hoop stress and longitudinal stress. (b) The change in internal diameter and the change in length. (c) If, in addition to the internal pressure, the cylinder is subject to a torque of 50 Nm find the magnitude of the principal stresses set up in the cylinder.