A rod consisting of two cylindrical portions AB and BC is restrained at both ends. Portion AB is made up of steel (Es= 200 GPa, ɑs = 11.7 x 10-6/ºC) and portion BC is made up of brass (Eb = 105 GPa, ab = 20.9 x 10/°C). Knowing that the rod is initially unstressed, a.) Determine the stresses induced in the steel and brass segments when there is a temperature rise of 50°C. b.) If there is a gap of 0.2 mm between point C and the lower support, determine the amount of reduction of the support reactions.
A rod consisting of two cylindrical portions AB and BC is restrained at both ends. Portion AB is made up of steel (Es= 200 GPa, ɑs = 11.7 x 10-6/ºC) and portion BC is made up of brass (Eb = 105 GPa, ab = 20.9 x 10/°C). Knowing that the rod is initially unstressed, a.) Determine the stresses induced in the steel and brass segments when there is a temperature rise of 50°C. b.) If there is a gap of 0.2 mm between point C and the lower support, determine the amount of reduction of the support reactions.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![A rod consisting of two cylindrical portions AB and BC is restrained at both ends. Portion AB is made up
of steel (Es = 200 GPa, as = 11.7 x 106/°C) and portion BC is made up of brass (Eb = 105 GPa, ab = 20.9
x 10°C).
Knowing that the rod is initially unstressed,
a.) Determine the stresses induced in the steel and brass segments when there is a temperature rise of
50°C.
b.) If there is a gap of 0.2 mm between point C and the lower support, determine the amount of
reduction of the support reactions.
A
30-mm diameter
250 mm
B
50-mm diameter
300 mm
C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4f835bc-0671-4de5-9606-77b9b1890041%2F2c98d0c2-5a5f-41af-ab5d-a3bba5c7c778%2F645xyr.bmp&w=3840&q=75)
Transcribed Image Text:A rod consisting of two cylindrical portions AB and BC is restrained at both ends. Portion AB is made up
of steel (Es = 200 GPa, as = 11.7 x 106/°C) and portion BC is made up of brass (Eb = 105 GPa, ab = 20.9
x 10°C).
Knowing that the rod is initially unstressed,
a.) Determine the stresses induced in the steel and brass segments when there is a temperature rise of
50°C.
b.) If there is a gap of 0.2 mm between point C and the lower support, determine the amount of
reduction of the support reactions.
A
30-mm diameter
250 mm
B
50-mm diameter
300 mm
C
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