A simply supported hollow cylinder beam is subjected to a uniform load w of 2700 N/m, and an inner pressure p of 450 kPa. The cylinder has an outer radius of 47 mm, and an inner radius of 45 mm, the length L is 4 m. Point A is at the outer surface on the very middle of the beam, shown in figure. It is known that E- 200 GPa, I= 6.12 × 10° mm“, the weight of the beam is neglected. a) Determine the maximum deflection of the beam. b) Calculate o,, G,, and Txy for point A. c) Using Mohr's circle, calculate and label the absolute maximum shear stress for point A. •A

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter5: Stresses In Beams (basic Topics)
Section: Chapter Questions
Problem 5.5.6P: A simply supported beam is subjected to a in early varying distributed load q(x)=xL with maximum...
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A simply supported hollow cylinder beam is subjected to a uniform load w of 2700 N/m, and an
inner pressure p of 450 kPa. The cylinder has an outer radius of 47 mm, and an inner radius of 45 mm, the
length L is 4 m. Point A is at the outer surface on the very middle of the beam, shown in figure. It is known
that E = 200 GPa, I = 6.12 × 10° mm“, the weight of the beam is neglected.
a) Determine the maximum deflection of the beam.
b) Calculate o,, Gy, and Tay for point A.
c) Using Mohr's circle, calculate and label the
absolute maximum shear stress for point A.
Ge on
Transcribed Image Text:A simply supported hollow cylinder beam is subjected to a uniform load w of 2700 N/m, and an inner pressure p of 450 kPa. The cylinder has an outer radius of 47 mm, and an inner radius of 45 mm, the length L is 4 m. Point A is at the outer surface on the very middle of the beam, shown in figure. It is known that E = 200 GPa, I = 6.12 × 10° mm“, the weight of the beam is neglected. a) Determine the maximum deflection of the beam. b) Calculate o,, Gy, and Tay for point A. c) Using Mohr's circle, calculate and label the absolute maximum shear stress for point A. Ge on
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