A steel wire with a diameter of d = 1/16” is bent around a cylindrical drum with a radius of R = 36”. (a) Determine the maximum normal strain in the wire. (b) What is the minimum acceptable radius of the drum if the maximum normal strain must remain below yield? Consider an elastic modulus of 30000 ksi and yield stress of 100 ksi. (c) If R = 36”, what is the maximum acceptable diameter of the wire if the maximum normal strain must remain below yield?
A steel wire with a diameter of d = 1/16” is bent around a cylindrical drum with a radius of R = 36”. (a) Determine the maximum normal strain in the wire. (b) What is the minimum acceptable radius of the drum if the maximum normal strain must remain below yield? Consider an elastic modulus of 30000 ksi and yield stress of 100 ksi. (c) If R = 36”, what is the maximum acceptable diameter of the wire if the maximum normal strain must remain below yield?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
A steel wire with a diameter of d = 1/16” is bent around a cylindrical drum with a radius of
R = 36”.
(a) Determine the maximum normal strain in the wire.
(b) What is the minimum acceptable radius of the drum if the maximum normal strain must
remain below yield? Consider an elastic modulus of 30000 ksi and yield stress of 100
ksi.
(c) If R = 36”, what is the maximum acceptable diameter of the wire if the maximum normal
strain must remain below yield?
Transcribed Image Text:**Problem 3:**
A steel wire with a diameter of \( d = 1/16'' \) is bent around a cylindrical drum with a radius of \( R = 36'' \).
**(a)** Determine the maximum normal strain in the wire.
**(b)** What is the minimum acceptable radius of the drum if the maximum normal strain must remain below yield? Consider an elastic modulus of 30000 ksi and yield stress of 100 ksi.
**(c)** If \( R = 36'' \), what is the maximum acceptable diameter of the wire if the maximum normal strain must remain below yield?
**Diagram Explanation:**
The diagram shows a cylindrical drum with a radius \( R \) and a steel wire wrapped around it. The wire has a diameter \( d \).
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