Question

A brass (Eb = 100 GPa, ab = 20 x 10−6 / ◦C) ring of an outer diameter d = 125 mm and a thickness tb = 6 mm fits exactly inside a steel (Es = 200 GPa, as = 12 x 10−6 / ◦C) ring of an inner diameter d = 125 mm and a thickness ts = 3 mm. If the temperature is increased by an amount ΔT = 40 ◦C, calculate the circumferential stress in the steel ring and the pressure exerted between the two rings at the interface. Use the value h = 35 mm.

Name: a brass eb 100 gpa ab 20 x 106 c ring of an outer diameter d 125 mm and a thickness tb 6 mm fits exactly inside a steel es 200 gpa as 12 x 106 c ring of an inner diameter d 125 mm and a thic 32913
Uploaded: 2023-03-15T16:26:30-08:00
Duration: 2 min 6 s
Channel: Sri K
Description: a brass eb 100 gpa ab 20 x 106 c ring of an outer diameter d 125 mm and a thickness tb 6 mm fits exactly inside a steel es 200 gpa as 12 x 106 c ring of an inner diameter d 125 mm and a thic 32913

          A brass (Eb = 100 GPa, ab = 20 x 10−6 / ◦C) ring of an outer diameter d = 125 mm and a thickness tb = 6 mm fits exactly inside a steel (Es = 200 GPa, as = 12 x 10−6 / ◦C) ring of an inner diameter d = 125 mm and a thickness ts = 3 mm. If the temperature is increased by an amount ΔT = 40 ◦C, calculate the circumferential stress in the steel ring and the pressure exerted between the two rings at the interface. Use the value h = 35 mm.

Added by Jason N.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Sri K

03/15/2023

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A brass (Eb = 100 GPa, ab = 20 x 10−6 / ◦C) ring of an outer diameter d = 125 mm and a thickness tb = 6 mm fits exactly inside a steel (Es = 200 GPa, as = 12 x 10−6 / ◦C) ring of an inner diameter d = 125 mm and a thickness ts = 3 mm. If the temperature is increased by an amount ΔT = 40 ◦C, calculate the circumferential stress in the steel ring and the pressure exerted between the two rings at the interface. Use the value h = 35 mm.