Determine the ASTM grain size number if 90 grains per square inch are measured at a magnification of 55×.  In this problem, you are asked to find the ASTM grain size number given the number of grains per square inch and the magnification. Solve Equation 4.18 (below) for G.

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
icon
Related questions
Question

Determine the ASTM grain size number if 90 grains per square inch are measured at a magnification of 55×. 

In this problem, you are asked to find the ASTM grain size number given the number of grains per square inch and the magnification.

Solve Equation 4.18 (below) for G

M
2G-1
100
Transcribed Image Text:M 2G-1 100
Expert Solution
Step 1

The link between microstructure and material properties (also known as structure-property correlation) is widely understood. The well-known Hall-Petch equation for single-phase polycrystalline materials is s=so+Kd-1/2, where s is the flow stress, d is the grain size, and so and K are constants. Microstructural studies are often done on 2-dimensional sections (or planes of polish) that cut through a material's 3-dimensional structure.

Many approaches have been devised to extract 3-dimensional structural characteristics from measurements taken on the polish plane. Stereology is the field that encompasses these techniques.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Solidification of Metals
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY