A steel wire of length LAB is stretched between rigid supports. The initial prestress in the wires is 45 MPa (tension) when the temperature is 25 degrees celsius. Assume alpha (a) = 15 * 10-6/degreesC and E= 200 GPa. a) What is the stress in the wire when the temperature drops to 0 degrees celcius? Is it in tension or compression? b) At what temperature T will the stress in the wire become

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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A steel wire of length LAB is stretched between rigid
supports. The initial prestress in the wires is 45 MPa
(tension) when the temperature is 25 degrees celsius.
Assume alpha (a) = 15 * 10-6/degreesC and E= 200 GPa.
a) What is the stress in the wire when the temperature
drops to 0 degrees celcius? Is it in tension or compression?
b) At what temperature T will the stress in the wire become
zero?
c) What happens when the temperature continues to
increase past T calculated in b? What is the elongation in
the wire at 50 degrees celcius?
p on?
(b) At what temperature T will the stress in the wire !
(c) What happens when the temperature continues t
the elongation in the wire at 50°c?
A
Steel wire
15x10 6/C
Transcribed Image Text:A steel wire of length LAB is stretched between rigid supports. The initial prestress in the wires is 45 MPa (tension) when the temperature is 25 degrees celsius. Assume alpha (a) = 15 * 10-6/degreesC and E= 200 GPa. a) What is the stress in the wire when the temperature drops to 0 degrees celcius? Is it in tension or compression? b) At what temperature T will the stress in the wire become zero? c) What happens when the temperature continues to increase past T calculated in b? What is the elongation in the wire at 50 degrees celcius? p on? (b) At what temperature T will the stress in the wire ! (c) What happens when the temperature continues t the elongation in the wire at 50°c? A Steel wire 15x10 6/C
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