part B
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
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![1
(a) in an experiment on a thick cylinder of 100 mm external diameter and 50 mm internal diameter, the hoop and longitudinal strains
as measured by strain gauges applied to the outer surface of the cylinder were 240 x 10 and 60 x 10, respectively, for an internal
pressure of 90 M Pa, the external pressure being zero.
Determine the actual hoop and longitudinal stresses present in the cylinder if E= 208 GPa and poisson's ratio, v = 0.29
Compare the hoop stress value so obtained with the theoretical value given by the Lame equations.
TH=
MPa
OL=
MPa
Theoretical hoop stress, o
MPa
(b) Assuming the above strain readings were obtained for a thick cylinder of 100 mm external diameter but unknown internal diameter,
calculate this internal diameter.
Internal diameter =
mm](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5eba2ec3-73d4-47ff-bb64-c4022783b383%2F65d2ccd7-d35a-4d0c-904d-f929b2ccde16%2Ffvzchng_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1
(a) in an experiment on a thick cylinder of 100 mm external diameter and 50 mm internal diameter, the hoop and longitudinal strains
as measured by strain gauges applied to the outer surface of the cylinder were 240 x 10 and 60 x 10, respectively, for an internal
pressure of 90 M Pa, the external pressure being zero.
Determine the actual hoop and longitudinal stresses present in the cylinder if E= 208 GPa and poisson's ratio, v = 0.29
Compare the hoop stress value so obtained with the theoretical value given by the Lame equations.
TH=
MPa
OL=
MPa
Theoretical hoop stress, o
MPa
(b) Assuming the above strain readings were obtained for a thick cylinder of 100 mm external diameter but unknown internal diameter,
calculate this internal diameter.
Internal diameter =
mm
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