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Uploaded ImageCh 01% CC — 01:28:17 B EE Queston 7 © k. Ce. RL Sa : = 07 Alowatie stem of 35 percentage. 2 = T—. E 4 z | ET ar == - == - 3 3 = BE. i Pr - i” F is Gin pe

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Asked by: anil
Created at: 2025-08-19 12:41:57

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Let's analyze and solve the problem step by step: **Given:** - Initial diameter of the shell (\(D_{initial}\)) = **180 mm** - Allowable strain (\(\epsilon_{allowable}\)) = **35%** = **0.35** **Strain Definition:** \[ \text{Strain} = \frac{\text{Change in diameter}}{\text{Original diameter}} = \frac{D_{final} - D_{initial}}{D_{initial}} \] **Rearrange to solve for \(D_{final}\):** \[ 0.35 = \frac{D_{final} - 180}{180} \] \[ 0.35 \times 180 = D_{final} - 180 \] \[ 63 = D_{final} - 180 \] \[ D_{final} = 180 + 63 = 243 \text{ mm} \] **Answer:** The maximum diameter to which the shell can be expanded is **243 mm**. So, the correct option is: - **243 mm**

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