Consider the brass alloy which have stress-strain behavior. A cylindrical specimen of this...

Question:

Consider the brass alloy which have stress-strain behavior. A cylindrical specimen of this material {eq}9.8\ mm {/eq} ({eq}0.3858\ in. {/eq}) in diameter and {eq}100.8\ mm {/eq} ({eq}3.969\ in. {/eq}) long is pulled in tension with a force of {eq}9580\ N {/eq} ({eq}2154\ lbf {/eq}). If it is known that this alloy has a value for Poisson's ratio of {eq}0.35 {/eq}, compute

(a) the specimen elongation,

(b) the reduction in specimen diameter.

Poisson's Ratio:

Poisson's ratio is the ratio of the longitudinal strain to the transverse strain of an object that experiences a tensile force. Accordingly, if an object is stretched due to the application of an tensile force, its axial direction will be stretched which is known as the longitudinal strain. Conversely, along the transverse direction, a contraction is going to be experienced known as the transverse strain.

Answer and Explanation:

Given:

{eq}D = 9.8 \ mm = 0.0098 \ m {/eq} Diameter of brass-alloy

{eq}L = 100.8 \ mm = 0.1008 \ m {/eq} Length of brass

{eq}F = 9580 \ N {/eq}...

See full answer below.

Become a Study.com member to unlock this answer! Create your account

View this answer

Learn more about this topic:

Loading...
Poisson's Ratio: Definition & Equation

from Introduction to Engineering

Chapter 1 / Lesson 17
19K

Related to this Question

Explore our homework questions and answers library