**Educational Content:**### Forming-Limit Diagram for High-Strength SteelA thin-walled spherical shell made of high-strength steel is analyzed using the forming-limit diagram shown below. This shell is being expanded by internal pressure. Given that the original shell diameter is 250 mm, determine the maximum diameter to which it can safely be expanded.**Graph Explanation:**The graph is a Forming-Limit Diagram that plots Major Strain (%) against Minor Strain (%).- **Major Strain Axis (Vertical):** This axis ranges from 0% to 140%.- **Minor Strain Axis (Horizontal):** This axis ranges from -60% to 80%.**Regions and Lines:**- **Plane Strain Line:** Indicating a condition where deformation is only in the major strain direction.- **Pure Shear Line:** Shows shear deformation conditions.- **Simple Tension Line (For R = 1):** Represents conditions under simple tension.- **Failure Zone:** The area above the material-specific lines where failure occurs.- **Safe Zone:** The area below the material-specific lines where the material can be safely formed.**Material Lines:**- **Low-Carbon Steel:** Upper middle line.- **Brass:** Slightly below the line for low-carbon steel.- **High-Strength Steel:** In the central zone.- **Aluminum Alloy:** Lower zone near the safe region.**Design Conditions:**- **Equal (Balanced) Biaxial Line:** Indicates balanced stretching in biaxial directions.**Possible Answers for Maximum Diameter:**- 280 mm- 350 mm- 367.5 mm- None of the AboveThe solution involves determining where the high-strength steel line intersects the safe zone under the specific conditions presented.This diagram is a critical tool in assessing the forming capability of materials under various loading conditions and is extensively used in engineering applications to prevent structural failure during the forming process.

Given data:- A thin walled spherical shell made of high strength steel with shell diameter =250 mm…

A thin-walled spherical shell made of a high-strength steel, whose forming-limit diagram is as shown, is being expanded by internal pressure. If the original shell diameter is 250 mm, what is the maximum diameter to which it can safely be expanded? Major strain (%) 140 120 100 80 60 40 20 O280 mm 0 -60 -40 O 350 mm Pure shear 367.5 mm Simple tension (For R = 1) O None of the above -20 Plane strain Failure zone Equal (balanced) biaxial Low-carbon steel Brass High-strength steel Aluminum alloy Safe zone 0 Minor strain (%) I 1 20 40 60 80

A thin-walled spherical shell made of a high-strength steel, whose forming-limit diagram is as shown, is being expanded by internal pressure. If the original shell diameter is 250 mm, what is the maximum diameter to which it can safely be expanded? Major strain (%) 140 120 100 80 60 40 20 O280 mm 0 -60 -40 O 350 mm Pure shear 367.5 mm Simple tension (For R = 1) O None of the above -20 Plane strain Failure zone Equal (balanced) biaxial Low-carbon steel Brass High-strength steel Aluminum alloy Safe zone 0 Minor strain (%) I 1 20 40 60 80

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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