A student foolishly attempts to stop a steel bar, of length L = 1 m and at a temperature of 20ºC, from thermally expanding by attaching it to a wooden support with a nail at each end. Steel's Young's modulus is Y = 2.7 × 1011 N/m2 and it's linear thermal expansion coefficient is α = 12.9 × 10-6 1/C. Randomized Variables Y = 2.7 × 1011 N/m2α = 12.9 × 10-6 1/C a. Enter an expression, in terms of defined variables, for the stress, S, that each nail will need to sustain at a temperature Ts. b. What is the value of the stress, in pascals, that develops due to a rise of temperature to 21ºC? c. Assuming the nails have a cross-sectional area of A = 10-5 m2 all of which is perpendicular to the stress force from the bar, what is the force acting on each due to that temperature rise?
A student foolishly attempts to stop a steel bar, of length L = 1 m and at a temperature of 20ºC, from thermally expanding by attaching it to a wooden support with a nail at each end. Steel's Young's modulus is Y = 2.7 × 1011 N/m2 and it's linear thermal expansion coefficient is α = 12.9 × 10-6 1/C.
Randomized Variables
Y = 2.7 × 1011 N/m2
α = 12.9 × 10-6 1/C
a. Enter an expression, in terms of defined variables, for the stress, S, that each nail will need to sustain at a temperature Ts.
b. What is the value of the stress, in pascals, that develops due to a rise of temperature to 21ºC?
c. Assuming the nails have a cross-sectional area of A = 10-5 m2 all of which is perpendicular to the stress force from the bar, what is the force acting on each due to that temperature rise?
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