A 220 kg box is hanging from a steel wire with a Young's modulus of 200 GPa. You have a design criteria of gallowed = 125 MPa. What is the minimum diameter of the wire? Diameter = unit B) If the length of the wire is 1.0 m, what is the elongation of the wire after loading? Assume you use the diameter of the wire from part A. Elongation = AL = unit

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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### Problem Description

A 220 kg box is suspended from a steel wire with a Young's modulus of 200 GPa. The design criteria require that the allowed stress \( \sigma_{\text{allowed}} \) is 125 MPa. The tasks are as follows:

**A) Determine the minimum diameter of the wire.**

**Diameter = ________ unit ______**

**B) Given the length of the wire is 1.0 m, calculate the elongation of the wire after loading, using the determined diameter from part A.**

**Elongation \( \Delta L \) = ________________ unit ______**

### Diagram Explanation

The diagram accompanying the text represents a vertical system where a box is hanging from a wire. A horizontal line represents a support holding the wire. Below the wire, a rectangular box represents the load. The diagram visually indicates the setup described in the problem, where a load (220 kg box) is supported by a vertical wire suspended from a fixed point. 

This setup is typically analyzed in mechanical and structural engineering to ensure materials can support the given load without exceeding stress limits or undergoing excessive deformation.
Transcribed Image Text:### Problem Description A 220 kg box is suspended from a steel wire with a Young's modulus of 200 GPa. The design criteria require that the allowed stress \( \sigma_{\text{allowed}} \) is 125 MPa. The tasks are as follows: **A) Determine the minimum diameter of the wire.** **Diameter = ________ unit ______** **B) Given the length of the wire is 1.0 m, calculate the elongation of the wire after loading, using the determined diameter from part A.** **Elongation \( \Delta L \) = ________________ unit ______** ### Diagram Explanation The diagram accompanying the text represents a vertical system where a box is hanging from a wire. A horizontal line represents a support holding the wire. Below the wire, a rectangular box represents the load. The diagram visually indicates the setup described in the problem, where a load (220 kg box) is supported by a vertical wire suspended from a fixed point. This setup is typically analyzed in mechanical and structural engineering to ensure materials can support the given load without exceeding stress limits or undergoing excessive deformation.
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