### Stress Analysis of Ductile Alloy ComponentThe stresses on the surface of a ductile alloy component are as illustrated in the provided diagram. The yield strength of the alloy (\(\sigma_y\)) is given as 190 MPa.**Objective:**1. Find the Principal Stresses.2. Calculate the Mises equivalent stress for the given state of plane stress.3. Calculate the Factor of Safety predicted by the maximum-distortion-energy theory using Mises stress.4. Calculate the Factor of Safety predicted by the maximum-shear-stress theory of failure.#### Problem Details:**Given:**- Yield Strength of the alloy \(\sigma_y = 190 \text{ MPa}\)**Principal Stresses:**\[\sigma_{\text{max}} = \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \text{ MPa} \quad \sigma_{\text{min}} = \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \text{ MPa}\]**Mises Equivalent Stress Calculation:**\[\sigma_M = \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \text{ MPa}\]**Factor of Safety (FS) using Maximum-Distortion-Energy Theory:**\[FS = \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\]**Failure Assessment:**Does the component fail according to this theory? \underline{Yes} or \underline{No}**Factor of Safety (FS) using Maximum-Shear-Stress Theory:**\[FS = \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\]**Failure Assessment:**Does the component fail according to this theory? \underline{Yes} or \underline{No}#### Diagram Explanation:The provided diagram shows the state of plane stress on the surface of a ductile alloy component. The diagram includes:- **Stress values** along different directions on the component: - A vertical arrow pointing upwards indicating 50 MPa. - A vertical arrow pointing downwards indicating 50 MPa. - A horizontal arrow pointing to the right indicating 100 MPa. - A horizontal arrow pointing to the left indicating 0 MPa. The component is labelled with axes \(x\) and

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The stresses on the surface of a ductile alloy component 50 MPa are as pictured. The yield strength of the alloy is oy = 190MPA. 100 MPa Find Principal Stresses: Отах MPa Omin MPа 50 MPa Calculate Mises equivalent stress for the given state of plane stress: OM MPa Calculate Factor of Safety predicted by the maximum-distortion-energy theory using Mises stress: FS Does the component fail according to this theory? Yes or No Calculate Factor of Safety predicted by the maximum-shear-stress theory of failure: FS Does the component fail according to this theory? Yes or No

The stresses on the surface of a ductile alloy component 50 MPa are as pictured. The yield strength of the alloy is oy = 190MPA. 100 MPa Find Principal Stresses: Отах MPa Omin MPа 50 MPa Calculate Mises equivalent stress for the given state of plane stress: OM MPa Calculate Factor of Safety predicted by the maximum-distortion-energy theory using Mises stress: FS Does the component fail according to this theory? Yes or No Calculate Factor of Safety predicted by the maximum-shear-stress theory of failure: FS Does the component fail according to this theory? Yes or No

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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