Heat and Thermal ExpansionHard
Question
Two fine steel wires fastened between the projections of a heavy brass bar,are just taut when the whole system is at 0oC. What is the tensile stress in the steel wires the temperature of the system is raised by 200oC ?
(αbrass = 2 × 10-5 oC-1, αsteel = 1.2 × 10-5 oC-1, Ysteel = 200 GNm-2)
(αbrass = 2 × 10-5 oC-1, αsteel = 1.2 × 10-5 oC-1, Ysteel = 200 GNm-2)
Options
A.3.2 Nm-2
B.3.2 × 108 Nm-2
C.32 × 108 Nm-2
D.0.48 Nm-2
Solution
Tensile Stress
= (Ysteel)
= YS (αb - αs) ᐃT
= 200 × 109 (0.8 × 10-5) (200) = 3.2 × 10 Nm-2.
= 0.32 GNm-2.
= (Ysteel)
= YS (αb - αs) ᐃT= 200 × 109 (0.8 × 10-5) (200) = 3.2 × 10 Nm-2.
= 0.32 GNm-2.
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