Answered: A copper specimen subjected to the…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

A copper specimen subjected to the Brinell Hardness Test using hardened steel ball indenter of diameter 13 mm and the indentation diameter 3.78 mm is measured using an optical magnifying lens with a ruler. Draw the Brinell Hardness Test setup neatly and determine the force applied on the specimen. Take Brinell Hardness Number for copper as 1037.

Surface Area of Indentation (in mm²) =

Applied Force (in N) =

Expert Solution

Step 1

Draw the Brinell Hardness test setup.

Step 2

It is required to determine the surface area of indentation.

$A = π D (D - \sqrt{D^{2} - d^{2}})$

Here D is the diameter of the ball, and d is the diameter of indentation.

$\begin{array}{rcl} A & = & π \times 13 mm \times [13 mm - \sqrt{{(13 mm)}^{2} - {(3.78 mm)}^{2}}] \\ = & 22.94 {mm}^{2} \end{array}$

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