Calculating bending strain—flat thick specimens, Calculating bending strain—flat thick specimens 38, Where – MTS Series 609 Alignment Fixture User Manual

Page 38

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Series 609 Alignment Fixture Product Information

38

Calculating Bending Strain—Flat Thick Specimens

Specimen Preparation

Calculating Bending Strain—Flat Thick Specimens

This section shows how to calculate the bending strain for flat 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 ignore the sign of negative numbers.

2. Calculate the average axial strain for each level.

Use this formula to find the average axial strain (A):

Where:

ε

1

through

ε

12

are the strain readings from gages 1 through 12

Au is the average strain of the upper gages
Am is the average strain of the middle gages
Al is the average strain of the lower gages

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

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

=

Upper Gages

Middle Gages

Lower Gages

Au

ε

1

ε

2

ε

3

ε

4

+

+

+

4

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

=

Am

ε

5

ε

6

ε

7

ε

8

+

+

+

4

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

=

Al

ε

9

ε

10

ε

11

ε

12

+

+

+

4

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

=

Upper Gages

Middle Gages

Lower Gages

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