Where – MTS Series 609 Alignment Fixture User Manual

Page 32

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Series 609 Alignment Fixture Product Information

32

Calculating Bending Strain—Round Thick Diameter

Specimen Preparation

Calculating Bending Strain—Round Thick Diameter Specimens

This section shows how to calculate the bending strain for round specimens with
four gages at each level.

Gage Placement

1. Calculate the bending strains for each level.

Use these formulas to find the x axis (B

x

) and y axis (B

y

) bending strains of

each level:

Where:

ε

1

through

ε

12

are the strain readings from gages 1 through 12

Bu

x

is the bending strain of the x axis of the upper gages

Bm

x

is the bending strain of the x axis of the middle gages

Bl

x

is the bending strain of the x axis of the lower gages

Bu

y

is the bending strain of the y axis of the upper gages

Bm

y

is the bending strain of the y axis of the middle gages

Bl

y

is the bending strain of the y axis of the lower gages

Do not overlook the sign of negative numbers.

2. Calculate the maximum bending strain for each level.

Use this formula to find the maximum bending strain (B):

Where:

Bu is the bending strain of the upper gages
Bm is the bending strain of the middle gages
Bl is the bending strain of the lower gages

3. Calculate the average axial strain for each level.

Bu

x

ε

1

ε

3


2

----------------

=

Bu

y

ε

2

ε

4


2

----------------

=

Bm

x

ε

5

ε

7


2

----------------

=

Bm

y

ε

6

ε

8


2

----------------

=

Bl

x

ε

9

ε

11

2

------------------

=

Bl

y

ε

10

ε

12


2

---------------------

=

Middle Gages

Lower Gages

Bu

Bu

x

(

)

2

Bu

y

(

)

2

+

=

Bm

Bm

x

(

)

2

Bm

y

(

)

2

+

=

Bl

Bl

x

(

)

2

Bl

y

(

)

2

+

=

Upper Gages

Middle Gages

Lower Gages

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