# 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.

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}...

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