Discussion
Consider the following statements about the membrane analogy:
1. The slope of the film gives the shear stress.
2. Twice the volume beneath the film gives the torque.
3. The height of the film gives the shear stress.
Which of the statements given above is or are correct?
Answer: C
Correct answer: 1 and 2 only
Statements 1 and 2 give the analogy correctly: the slope of the film is the shear stress and twice the volume beneath it is the torque. Statement 3 confuses slope with height - the height of the film is the stress function itself, and it is its gradient, not its value, that corresponds to stress.
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