   # A tensile test is performed on a brass specimen 10 mm in diameter using a gage length of 50 mm (see figure). When the tensile load P reaches a value of 20 kN, the distance between the gage marks has increased by 0.122 mm. (a) What is the modulus of elasticity E of the brass? (b) H the diameter decreases by 0.00830 mm, what is poison’s ratio? ### Mechanics of Materials (MindTap Co...

9th Edition
Barry J. Goodno + 1 other
Publisher: Cengage Learning
ISBN: 9781337093347 ### Mechanics of Materials (MindTap Co...

9th Edition
Barry J. Goodno + 1 other
Publisher: Cengage Learning
ISBN: 9781337093347
Chapter 1, Problem 1.7.8P
Textbook Problem
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## A tensile test is performed on a brass specimen 10 mm in diameter using a gage length of 50 mm (see figure). When the tensile load P reaches a value of 20 kN, the distance between the gage marks has increased by 0.122 mm. (a) What is the modulus of elasticity E of the brass? (b) H the diameter decreases by 0.00830 mm, what is poison’s ratio? (a)

To determine

The modulus of elasticity E of the brass.

### Explanation of Solution

Given Information:

A tensile test is performed on a brass specimen as shown in the figure below:

Diameter of the bar d=10mm,

Gauge Length L=50mm.

Force applied P=20 KN

δl=0.122 mm

Axial Strain in the barε=δlL=0.12250=2.44×103

Axial Stress in the bar σ=Pπ4d2=20000π4(10)2=254

(b)

To determine

The Poisson’s ratio, if the diameter decreases by 0.00830 mm.

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