# TABLEXN

Bulk Data Entry Defines a tabular function for Stress (X) - Life (Y) pairs to define an SN curve.

## Format

(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
TABLEXN TID TYPE
x1 y1 x2 y2 x3 y3 x4 y4
x5 y5 etc. etc.

## Example

(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
TABLEXN 32 SN
1.0 6.9 2.0 5.6 3.0 5.6 ENDT

## Definitions

Field Contents SI Unit Example
TID Table identification number.

No default (Integer > 0)

TYPE Specifies the type of curve.
=SN
Identifies the table as an SN curve.

No default

x#, y# Tabular values.

No default (Real or ENDT)

1. $xi$ must be in either ascending or descending order, but not both.
2. Discontinuities between any two points except the two starting points or two end points. For example, in Figure 1 discontinuities are allowed only between points $x2$ through $x7$ . Also, if $y$ is evaluated at a discontinuity, the average value of $y$ is used. In Figure 1, the value of $y$ at $x=x3$ is $y=\left(y3+y4\right)/2$ .
3. At least one continuation entry must be specified.
4. Any $x$ , $y$ pair may be ignored by placing SKIP in either of the two fields used for that entry.
5. The end of the table is indicated by the existence of ENDT in either of the two fields following the last entry. An error is detected if any continuations follow the entry containing the end-of-table flag ENDT.
6. TABLEXN uses the algorithm:(1)
$y={y}_{T}\left(x\right)$
Where,
$x$
Input to the table
$y$
Is returned
The table look-up is performed using interpolation within the table and linear extrapolation outside the table using the two starting or end points (Figure 1). The algorithms used for interpolation or extrapolation is:(2)
${y}_{T}\left(x\right)=\frac{{x}_{j}-x}{{x}_{j}-{x}_{i}}{y}_{i}+\frac{x-{x}_{i}}{{x}_{j}-{x}_{i}}{y}_{j}$
Where, $xj$ and $yj$ follow $xi$ and $yi$ .
7. TABLEXN can be directly selected via the MCRV_ID field on the MATFAT entry or referenced on the TIDi fields of the FATMCRV entry.