Chapter 8 Tutorial

Measurement Fundamentals

Strain Gage Measurements

Although the instrument does not directly support strain measurements, you can measure a strain gage using a 4-wire resistance measurement with scaling. However, HP BenchLink Data Logger software has built-in strain gage measurement capability.

When a force is applied to a body, the body deforms. The deformation per unit length is called strain (ε). Strain may be either tensile (+) or compressive (-). Practical strain values are usually quite small (typically less than 0.005 inch/inch for most metals) and are often expressed in micro-strains (με). There are three common types of strain measurements as shown below.

 

 

Force

 

 

 

 

 

 

 

Force

Normal Strain (ε) is a measure

 

 

 

(F)

 

 

 

 

 

 

 

 

(F)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

of the deformation along the axis

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

of the applied force. ε = L/L

 

 

 

 

 

 

 

 

 

 

L + L

 

 

 

 

 

 

 

 

 

 

Shearing Strain (γ) is a measure

 

 

 

 

 

 

 

 

 

 

 

 

 

F

γ

of the angular distortion of a

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

body. It is approximated by the

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

tangent of the angle formed by

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

the angular change between two

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

line segments that were parallel

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

in the undeformed state.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Poisson Strain (ν) measures a

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

property of materials known as

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

the Poisson Ratio. It is the

 

F

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

F

negative ratio of transverse and

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

longitudinal normal strain

D -

D

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

when a body has a longitudinal

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

L + L

 

 

 

 

 

 

 

 

 

tensile force applied. ν = -εt / ε,

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

where εt = D/D and ε = L/L

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Stress Stress is a term used to compare the loading applied to a material with its ability to carry the load. Stress (σ) in a material can not be measured directly; it must be computed from material properties and measurable quantities such as strain and force.

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