Answered: Problem 3: A 0.625 in. thick…

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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A 0.625 in. thick rectangular alloy bar is subjected to a tensile load P by pins at A and B as shown. The
width of the bar is w = 2.00 in. Strain gages bonded to the specimen measure the following strains in the longitudinal
(x) and transverse (y) directions: εx = 1,140 με and εy = −315 με.
a) Determine the Poisson’s ratio for this material.
b) If the measured strains were produced by an axial load of P=17.4 kips, what is the modulus of elasticity for this
specimen?

**Problem 3:**

A 0.625 in. thick rectangular alloy bar is subjected to a tensile load \( P \) by pins at \( A \) and \( B \) as shown. The width of the bar is \( w = 2.00 \) in. Strain gages bonded to the specimen measure the following strains in the longitudinal (\( x \)) and transverse (\( y \)) directions: \( \varepsilon_x = 1,140 \, \mu\varepsilon \) and \( \varepsilon_y = -315 \, \mu\varepsilon \).

a) Determine the Poisson’s ratio for this material.

b) If the measured strains were produced by an axial load of \( P = 17.4 \) kips, what is the modulus of elasticity for this specimen?

**Explanation of Diagram:**

The diagram shows a rectangular alloy bar with a tensile load applied at two points, \( A \) and \( B \), on the bar. The strain gages are attached to the specimen to measure the longitudinal and transverse strains. The bar's orientation and dimensions are indicated, with directions \( x \) (longitudinal) and \( y \) (transverse) clearly labeled.

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