Recent Posts

21

Installation & System requirements / Re: Connection problem with Mathematica

« Last post by PeterNorton on March 17, 2012, 03:01:20 AM »

Thank,
That is Ok. The order of installation is important.

22

News and Events / TIMO Media Storage

« Last post by MechOfMat on March 04, 2012, 05:22:03 PM »

TIMO Media Gallery is opened.
http://www.orlovsoft.com/Gallery/default.aspx
Here you can not only take a look for a new screenshots or screencasts but also to download content.

23

James M. Gere and Barry J. Goodno / 4.3-4..4.3-6

« Last post by rocketTester on February 25, 2012, 02:09:11 AM »

Problem 4.3-4

General Solutions

Reactions:
\[
R_{{A}}=2\,qb+F; 
M_{{A}}=-6\,q{b}^{2}-bF
 \]
Shearing Forces:
\[
Q_{{1}}=2\,qb+F; 
 \]
\[    
Q_{{2}}=2\,qb;
 \]
\[
Q_{{3}}=-qz+2\,qb
 \]
Bending Moments:
\[
M_{{1}}=2\,qbz+zF-6\,q{b}^{2}-bF;
 \]
\[    
M_{{2}}=2\,qbz-4\,q{b}^{2}; 
 \]
\[
M_{{3}}=-1/2\,q{z}^{2}+2\,qbz-2\,q{b}^{2}
 \]
Answer:
\[
Force=2\,qb+F;   
Moment=1/2\, \left( 2\,qb+F \right) b-6\,q{b}^{2}-bF
 \]
Maple 15 file is attached below

24

Comparison, Verification / Re: Internal Factors

« Last post by TesterTS on January 26, 2012, 04:44:15 PM »

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:
\[
-0.000404369 z^4+0.00361859 z^3-0.00305933 z^2-0.00437094 z+0.00117427
 \]

25

Comparison, Verification / Internal Factors

« Last post by TesterTS on January 26, 2012, 04:43:20 PM »

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

26

James M. Gere and Barry J. Goodno / 4.3-3

« Last post by rocketTester on January 24, 2012, 01:20:30 AM »

Problem 4.3-3

Reactions:
\[
R_{{A}}=P;    R_{{B}}=-P;
 \]
Shearing Forces:
\[
Q_{{1}}=-P;    Q_{{2}}=0;    Q_{{3}}=-P
 \]
Bending Moments:
\[
M_{{1}}=-Pz;    M_{{2}}=0;    M_{{3}}=-Pz+Pb
 \]
Bonus 
Deflections:
\[
w_{{1}}=-1/6\,{\frac {P \left( {z}^{3}-3\,{b}^{2}z+2\,{b}^{3} \right) }{E{\it Jx}}};   
w_{{2}}=0;   
w_{{3}}=1/6\,{\frac {P{z}^{2} \left( -z+3\,b \right) }{E{\it Jx}}}
 \]

27

James M. Gere and Barry J. Goodno / 4.3-2

« Last post by rocketTester on January 24, 2012, 12:38:39 AM »

Problem 4.3-2

General Solutions

Reactions:
\[
R_{{A}}=1/8\,{\frac {4\,q{a}^{2}-4\,qab+q{b}^{2}+6\,aF}{a}};   
R_{{B}}=1/8\,{\frac {12\,q{a}^{2}-4\,qab-q{b}^{2}+2\,aF}{a}}
 \]
Shearing Forces:
\[
Q_{{1}}=1/8\,{\frac {4\,q{a}^{2}-4\,qab+q{b}^{2}+6\,aF}{a}};   
Q_{{2}}=-1/8\,{\frac {-4\,q{a}^{2}+4\,qab-q{b}^{2}+2\,aF}{a}};
 \]
\[    
Q_{{3}}=-1/8\,{\frac {-4\,q{a}^{2}+4\,qab-q{b}^{2}+2\,aF}{a}};   
Q_{{4}}=-1/8\,{\frac {8\,qza-4\,q{a}^{2}+4\,qab-q{b}^{2}+2\,aF}{a}}
 \]
Bending Moments:
\[
M_{{1}}=1/8\,{\frac { \left( 4\,q{a}^{2}-4\,qab+q{b}^{2}+6\,aF \right) z}{a}};
 \]
\[    
M_{{2}}=1/8\,{\frac {4\,zq{a}^{2}-4\,zqab+zq{b}^{2}-2\,zaF+4\,q{a}^{3}-4\,q{a}^{2}b+aq{b}^{2}+6\,{a}^{2}F}{a}};
 \]
\[
M_{{3}}=1/8\,{\frac {4\,zq{a}^{2}-4\,zqab+zq{b}^{2}-2\,zaF-8\,q{a}^{2}b+2\,aq{b}^{2}+8\,q{a}^{3}+4\,{a}^{2}F}{a}};
 \]
\[
M_{{4}}=1/8\,{\frac {4\,zq{a}^{2}-4\,zqab+zq{b}^{2}-2\,zaF-8\,q{a}^{2}b+2\,aq{b}^{2}+8\,q{a}^{3}+4\,{a}^{2}F}{a}}.
 \]

28

James M. Gere and Barry J. Goodno / 4.3-1..4.3-3

« Last post by rocketTester on January 23, 2012, 11:40:38 PM »

Problem 4.3-1

General Solution

Reactions:
\[
R_{{A}}={\frac {cF_{{2}}+cF_{{1}}+bF_{{1}}}{a+b+c}};   
R_{{B}}={\frac {aF_{{1}}+aF_{{2}}+bF_{{2}}}{a+b+c}}
 \]
Shearing Forces:
\[
Q_{{1}}={\frac {cF_{{2}}+cF_{{1}}+bF_{{1}}}{a+b+c}};   
Q_{{2}}=-{\frac {aF_{{1}}-cF_{{2}}}{a+b+c}};   
Q_{{3}}=-{\frac {aF_{{1}}+aF_{{2}}+bF_{{2}}}{a+b+c}}
 \]
Bending Moments:
\[
M_{{1}}={\frac { \left( cF_{{2}}+cF_{{1}}+bF_{{1}} \right) z}{a+b+c}};   
M_{{2}}={\frac {-zaF_{{1}}+zcF_{{2}}+acF_{{2}}+acF_{{1}}+abF_{{1}}}{a+
b+c}};   
M_{{3}}={\frac { \left( aF_{{1}}+aF_{{2}}+bF_{{2}} \right)  \left( -z+
c \right) }{a+b+c}}
 \]
Maple 15 file is attached below

29

Installation & System requirements / Re: Connection problem with Mathematica

« Last post by rocketTester on January 23, 2012, 01:06:17 PM »

Take a look point 3 Installation.

30

Installation & System requirements / Connection problem with Mathematica

« Last post by PeterNorton on January 23, 2012, 12:57:59 PM »

Hi,
I just would like to ask about feature. When I start Timo it looks great. When I am creating frame all the good. But after pressing
NS (start numeric solution) button it requires to fix something like open Mathkernel file. I check it with MathKernel.exe file each time it asks but what is the way to fix it.