MTS 709 Alignment System - Manual (Page 70)

709 Alignment System Options 70
Bending Percent
The 709 Alignment software offers two choices for calculation bending percent.
One complies with MTS’s interpretation of ASTM 1012 and the other to MTS’s
interpretation of GEAE S-400. In general, you would select the method that
satisfies your particular auditing requirements. Following are the calculations for
each method.
Cylindrical specimens,
three strain sensors
ASTM E 1012 True Max
GEAE S-400 Simple Max
Cylindrical specimens,
four strain sensors
ASTM E 1012 True Max
GEAE S-400 Simple Max
e
1
2100 =
e
2
2000 =
e
3
1900 =
a
e
1
e
2
e
3
+ +
3
--------------------------- = a 2000 =
b
1
e
1
a – = b
1
100 =
b
2
e
2
a – = b
2
0 =
b
3
e
3
a – = b
3
100 – =
B
b
1
2
3
-------
b
2
b
1
-----
1
2
--- + ⎝ ⎠
⎛ ⎞
•
atan cos
---------------------------------------------------------------- =
B 115 =
B max b
1
b
2
b
3
( ) ( )
= B 100 =
e
1
2100 =
e
2
2100 =
e
3
1900 =
e
4
1900 =
a
e
1
e
2
e
3
e
4
+ + +
4
--------------------------------------- = a 2000 =
b
1
e
1
a – = b
1
100 =
b
2
e
2
a – = b
2
100 =
b
3
e
3
a – = b
3
100 – =
b
4
e
4
a – = b
4
100 – =
B
1
2
--- b
1
b
3
–
( ) 2
b
2
b
4
–
( ) 2
+ =
B 141 =
B max b
1
b
2
b
3
b
4
( ) ( )
= B 100 =