Internal Factors

[TesterTS]

Hello, TIMO Community

RS gives multiple tables and diagrams for each factor.

Ok, let’s begin Internal Factors discussion.
It is obviously we must choose some beams for test. I really do not know what from all better choice is. As we see there are loadings along three directions are presented:
1.   Distributed forces along X Axis.
2.   Distributed forces along Y Axis.
3.   Distributed forces along Z Axis.
4.   Concentrated forces and moments.
I choose Beam 145 for internal factors comparison analysis. The same Beam in Timo is 127. There is no sense to provide testing for each point within Beam, it’s enough to do it for begin and end point. By the way we are getting not only point’s values but functions of independent variable z in Timo.
Test Beam in RS (145) presented below:

The same Beam (127) in TS is next.

Screenshot of internal factors looks like this

All the data I pack in table. The results are next (take into account different Axes directions):

Internal Factor, by RS sign convention	RS, Begin Point [N]	TS, Begin Point [N]	Error, %
Stretching Force, Fx	-2968,806930	2968,814149	0,000243161
Shearing Force, Fy	-970,572836	-970,580913	0,000832182
Shearing Force, Fz	-118,591656	118,593098	0,00121592
Torsion Moment, Mx	54,307760	-54,313205	0,0100252
Bending Moment, My	921,949614	921,949345	0,0000291773
Bending Moment, Mz	-544,863887	544,876101	0,00224161

And for end point of Beam:

Internal Factor, by RS sign convention	RS, End Point [N]	TS, End Point [N]	Error, %
Stretching Force, Fx	-2168,806930	2168,814149	0,000243161
Shearing Force, Fy	429,427164	429,419087	0,00188091
Shearing Force, Fz	-1118,591656	1118,593098	0,000128912
Torsion Moment, Mx	54,4307760	-54,313205	0,216469
Bending Moment, My	-315,233697	-315,236850	0,0010002
Bending Moment, Mz	-3,718215	3,7142753260	0,106068

[TesterTS]

By the way, TIMO Structural internal factor's functions (for a example):
Beam Bending in XZ Plane
Shearing Force in XZ Plane:
\[
429.419 -700. z
 \]
Bending Moment in XZ Plane:
\[
350. z^2-429.419 z+3.71428
 \]
Angle of Bending in XZ Plane:
\[
-0.00452893 z^3+0.0083349 z^2-0.000144186 z-0.859546
 \]
Deflection along X local Axis:
\[
0.00113223 z^4-0.0027783 z^3+0.000072093 z^2+0.859546 z-4.26135
 \]

Beam Bending in YZ Plane
Shearing Force in YZ Plane:
\[
1118.59 -500. z
 \]
Bending Moment in YZ Plane:
\[
-250. z^2+1118.59 z-315.237
 \]
Angle of Bending in YZ Plane:
\[
-0.00161748 z^3+0.0108558 z^2-0.00611866 z-0.00437094
 \]
Deflection along Y local Axis:
\[
-0.000404369 z^4+0.00361859 z^3-0.00305933 z^2-0.00437094 z+0.00117427
 \]

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