d AB consists of two cylindrical portions AC and BC, a mild steel with E= 200 GPa and oy= 250 MPa, anc = 345 MPa. Pis gradually increased from zero until t n and then decreased back to zero. OTE: This is a multi-part question Once an answer is

Elements Of Electromagnetics
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### Required Information

**Rod AB** consists of two cylindrical portions, **AC** and **BC**, each with a cross-sectional area of \(1820 \, \text{mm}^2\). Portion **AC** is made of a mild steel with \(E = 200 \, \text{GPa}\) and \(\sigma_y = 250 \, \text{MPa}\), and portion **CB** is made of a high-strength steel with \(E = 200 \, \text{GPa}\) and \(\sigma_y = 345 \, \text{MPa}\). The force \(P\) is gradually increased from zero until the deformation of point **C** reaches a maximum value of \(\delta_m = 0.3 \, \text{mm}\) and then decreased back to zero.

**NOTE:** This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.

### Diagram Description

The diagram shows a vertical rod labeled **AB** with two segments, **AC** and **BC**. Each segment is marked as being 190 mm long. A force \(P\) is applied downward at the point **C**.

### Task

**Determine the maximum value of \(P\).**

The maximum value of \(P\) is \(\_\_\_\_\_\) kN.
Transcribed Image Text:### Required Information **Rod AB** consists of two cylindrical portions, **AC** and **BC**, each with a cross-sectional area of \(1820 \, \text{mm}^2\). Portion **AC** is made of a mild steel with \(E = 200 \, \text{GPa}\) and \(\sigma_y = 250 \, \text{MPa}\), and portion **CB** is made of a high-strength steel with \(E = 200 \, \text{GPa}\) and \(\sigma_y = 345 \, \text{MPa}\). The force \(P\) is gradually increased from zero until the deformation of point **C** reaches a maximum value of \(\delta_m = 0.3 \, \text{mm}\) and then decreased back to zero. **NOTE:** This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. ### Diagram Description The diagram shows a vertical rod labeled **AB** with two segments, **AC** and **BC**. Each segment is marked as being 190 mm long. A force \(P\) is applied downward at the point **C**. ### Task **Determine the maximum value of \(P\).** The maximum value of \(P\) is \(\_\_\_\_\_\) kN.
Expert Solution
Step 1: Write the given data with suitable variables-

straight A subscript AC equals straight A subscript BC equals 1820 space mm squared
straight E subscript straight m equals 200 GPa
straight sigma subscript ym equals 250 MPa
straight L subscript AC equals straight L subscript CB equals 190 mm
straight E subscript yh equals 200 GPa
straight sigma subscript yh equals 345 space MPa
straight delta subscript straight m equals 0.3 straight m

The FBD is-

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