### Recent Posts

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21
##### Getting started / Re: Open help page as worksheet
« Last post by sirwilliams on May 09, 2012, 01:43:01 AM »
How can I get use of this software ?
22
##### 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.
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##### 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.
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##### 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
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##### 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:
$-0.000404369 z^4+0.00361859 z^3-0.00305933 z^2-0.00437094 z+0.00117427$

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##### Comparison, Verification / Internal Factors
« Last post by TesterTS on January 26, 2012, 04:43:20 PM »
Hello, TIMO Community
Quote
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
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##### 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:
$w_{{1}}=-1/6\,{\frac {P \left( {z}^{3}-3\,{b}^{2}z+2\,{b}^{3} \right) }{E{\it Jx}}}; w_{{2}}=0; w_{{3}}=1/6\,{\frac {P{z}^{2} \left( -z+3\,b \right) }{E{\it Jx}}}$ 28
##### 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:
$M_{{1}}=1/8\,{\frac { \left( 4\,q{a}^{2}-4\,qab+q{b}^{2}+6\,aF \right) z}{a}};$
$M_{{2}}=1/8\,{\frac {4\,zq{a}^{2}-4\,zqab+zq{b}^{2}-2\,zaF+4\,q{a}^{3}-4\,q{a}^{2}b+aq{b}^{2}+6\,{a}^{2}F}{a}};$
$M_{{3}}=1/8\,{\frac {4\,zq{a}^{2}-4\,zqab+zq{b}^{2}-2\,zaF-8\,q{a}^{2}b+2\,aq{b}^{2}+8\,q{a}^{3}+4\,{a}^{2}F}{a}};$
$M_{{4}}=1/8\,{\frac {4\,zq{a}^{2}-4\,zqab+zq{b}^{2}-2\,zaF-8\,q{a}^{2}b+2\,aq{b}^{2}+8\,q{a}^{3}+4\,{a}^{2}F}{a}}.$
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##### 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
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##### 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.
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