Brookfield YR-1 Rheometer User Manual

Page 50

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Brookfield Engineering Labs., Inc.

Page 50

Manual No. M02-215-B0412

APPENDIX D - Calculations

The following equations can be used to calculate the shear stress values after each packet of

data is obtained from the YR-1:

τ =

TxYMCxT

10

where:

τ

= Yield Stress

(Pascals)

TK

= Model Torque Constant from Table A-2 in Appendix A

YMC

= Yield Multiplier Constant from Table A-1 in Appendix A

T

= % Torque reading

The following equations can be used to calculate the strain data after each packet of data is

obtained from the YR-1:

γ

=

θ

M

– (S x T)

where:

γ

= Strain

(rad)

θ

M

= Angular rotation of motor shaft

(rad)

S

= Radial Spring Factor

(rad/% torque)

T

= % Torque reading

(%)

θ

M

=

ω

x

t x

2

π

60

where:

θ

M

= Angular distance of motor shaft

(rad)

ω

= Rotational speed

(rpm)

t

= time of test

(seconds)

S =

θ

cal

x (2π)

x 0.01

where:

S

= Radial spring factor

(rad/%torque)

θ

cal

= Spring windup angle

(revolutions)

θ

cal =

(

V

cal

x t

cal

)

60000

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