At room temperature (200C) a 0.5-mm gap exists between the ends of the rods shown. At a later time when the temperature has reached 1400C, determine (a) the normal stress in the aluminum rod, (b) the change in length of the aluminum rod. (c) If the temperature is allowed to go up continuously, which rod would fail first? At what temperature would failure occur? Given the ultimate stress (in compression) for steel is 500 MPa for steel and 350 MPa for aluminum (Typo in figure: Coefficient of thermal expansion for aluminum is 23 x 10-6/0C). 0.5 mm 300 mm - 250 mm B Aluminum Stainless steel A = 2000 mm E = 75 GPa a = 23 × 16-°C A = S00 mm E = 190 GPa a = 17.3 x 10-6/°C

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36 ll
At room temperature (200C) a 0.5-mm gap
exists between the ends of the rods shown.
At a later time when the temperature has
reached 140OC, determine (a) the normal
stress in the aluminum rod, (b) the change in
length of the aluminum rod. (c) If the
temperature is allowed to go up continuously,
which rod would fail first? At what
temperature would failure occur? Given the
ultimate stress (in compression) for steel is
500 MPa for steel and 350 MPa for aluminum
(Typo in figure: Coefficient of thermal
expansion for aluminum is 23 x 10-6/oC).
0.5 mm
300 mm
250 mm
Aluminum
A = 2000 mm²
E = 75 GPa
a = 23 x 16%°C
Stainless steel
A = S00 mm2
E = 190 GPa
a = 17.3 x 10-6°C
This problem has been solved!
See the answer
Transcribed Image Text:36 ll At room temperature (200C) a 0.5-mm gap exists between the ends of the rods shown. At a later time when the temperature has reached 140OC, determine (a) the normal stress in the aluminum rod, (b) the change in length of the aluminum rod. (c) If the temperature is allowed to go up continuously, which rod would fail first? At what temperature would failure occur? Given the ultimate stress (in compression) for steel is 500 MPa for steel and 350 MPa for aluminum (Typo in figure: Coefficient of thermal expansion for aluminum is 23 x 10-6/oC). 0.5 mm 300 mm 250 mm Aluminum A = 2000 mm² E = 75 GPa a = 23 x 16%°C Stainless steel A = S00 mm2 E = 190 GPa a = 17.3 x 10-6°C This problem has been solved! See the answer
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