Hello Expert,
I had design a simple trusses. After ran the analysis there are an error said this:-
***WARNING - INSTABILITY AT JOINT 7 DIRECTION = FY PROBABLE CAUSE SINGULAR-ADDING WEAK SPRING K-MATRIX DIAG= 2.9787494E+03 L-MATRIX DIAG= 4.5474735E-13 EQN NO 12 ***NOTE - VERY WEAK SPRING ADDED FOR STABILITY ***WARNING - INSTABILITY AT JOINT 4 DIRECTION = FX PROBABLE CAUSE SINGULAR-ADDING WEAK SPRING K-MATRIX DIAG= 4.2165520E+04 L-MATRIX DIAG= 3.4560799E-10 EQN NO 5 ***NOTE - VERY WEAK SPRING ADDED FOR STABILITY ***WARNING - INSTABILITY AT JOINT 5 DIRECTION = FX PROBABLE CAUSE SINGULAR-ADDING WEAK SPRING K-MATRIX DIAG= 4.2165520E+04 L-MATRIX DIAG= 3.6743586E-10 EQN NO 7 ***NOTE - VERY WEAK SPRING ADDED FOR STABILITY
I had refer some explanation in this forum regarding the instability issue which is they proposed to put some code MP0.99 at the Staad Input but Its seem still has an error. Somebody please help me on this. Below is my input file. Thanks in advance.
STAAD TRUSS DXF IMPORT OF DRAWING1.DXFSTART JOB INFORMATIONENGINEER DATE 05-May-15JOB NAME Gantry 2END JOB INFORMATIONINPUT WIDTH 79UNIT METER KNJOINT COORDINATES1 1315.25 88.5891 0; 2 1315.25 89.1991 0; 3 1315.5 80.7391 0;4 1315.5 88.5891 0; 5 1315.5 89.1991 0; 6 1316.25 88.5891 0;7 1316.25 89.1991 0; 8 1317.47 88.5891 0; 9 1317.47 89.1991 0;10 1318.69 88.5891 0; 11 1318.69 89.1991 0; 12 1319.91 88.5891 0;13 1319.91 89.1991 0; 14 1321.13 88.5891 0; 15 1321.13 89.1991 0;16 1322.35 88.5891 0; 17 1322.35 89.1991 0; 18 1323.57 88.5891 0;19 1323.57 89.1991 0; 20 1324.79 88.5891 0; 21 1324.79 89.1991 0;22 1326.01 88.5891 0; 23 1326.01 89.1991 0; 24 1327.23 88.5891 0;25 1327.23 89.1991 0; 26 1328.45 88.5891 0; 27 1328.45 89.1991 0;28 1329.67 88.5891 0; 29 1329.67 89.1991 0; 30 1330.89 88.5891 0;31 1330.89 89.1991 0; 32 1332.11 88.5891 0; 33 1332.11 89.1991 0;34 1333.33 88.5891 0; 35 1333.33 89.1991 0; 36 1334.08 80.7391 0;37 1334.08 88.5891 0; 38 1334.08 89.1991 0; 39 1334.33 88.5891 0;40 1334.33 89.1991 0;MEMBER INCIDENCES1 1 4; 2 2 5; 3 3 4; 4 4 5; 5 4 6; 6 5 7; 7 6 7; 8 6 8; 9 6 9; 10 7 9; 11 9 8;12 8 10; 13 8 11; 14 9 11; 15 11 10; 16 10 12; 17 10 13; 18 11 13; 19 13 12;20 12 14; 21 12 15; 22 13 15; 23 15 14; 24 14 16; 25 14 17; 26 15 17; 27 17 16;28 16 18; 29 16 19; 30 17 19; 31 19 18; 32 18 20; 33 18 21; 34 19 21; 35 21 20;36 20 22; 37 20 23; 38 21 23; 39 23 22; 40 22 24; 41 22 25; 42 23 25; 43 25 24;44 24 26; 45 24 27; 46 25 27; 47 27 26; 48 26 28; 49 26 29; 50 27 29; 51 29 28;52 28 30; 53 28 31; 54 29 31; 55 31 30; 56 30 32; 57 30 33; 58 31 33; 59 33 32;60 32 34; 61 32 35; 62 33 35; 63 34 35; 64 34 37; 65 35 38; 66 36 37; 67 37 38;68 37 39; 69 38 40;DEFINE MATERIAL STARTISOTROPIC STEELE 2.05e+008POISSON 0.3DENSITY 76.8195ALPHA 1.2e-005DAMP 0.03END DEFINE MATERIALMEMBER PROPERTY BRITISH1 2 5 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 -54 56 58 60 62 64 65 68 69 TABLE ST PIPE OD 0.3185 ID 0.30477 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 -59 61 63 TABLE ST PIPE OD 0.1143 ID 0.10533 4 66 67 TABLE ST PIPE OD 0.4064 ID 0.3906CONSTANTSMATERIAL STEEL ALLSUPPORTS3 36 FIXEDMEMBER RELEASE4 5 6 START MP 0.994 5 6 END MP 0.99LOAD 1 LOADTYPE None TITLE GKSELFWEIGHT Y -1JOINT LOAD15 27 FY -10.73MEMBER LOAD2 6 10 14 18 22 26 30 34 38 42 46 50 54 58 62 65 69 UNI GY -0.95LOAD 2 LOADTYPE None TITLE QKMEMBER LOAD2 6 10 14 18 22 26 30 34 38 42 46 50 54 58 62 65 69 UNI GY -0.5LOAD 3 LOADTYPE None TITLE QK (POINT LOAD)JOINT LOAD21 FY -1.5LOAD 4 LOADTYPE None TITLE WKJOINT LOAD15 27 FZ 15.636LOAD COMB 5 CASE 11 1.4 2 1.6 LOAD COMB 6 CASE 21 1.4 3 1.6 LOAD COMB 7 CASE 31 1.0 4 1.4 LOAD COMB 8 CASE 41 1.2 2 1.2 4 1.2 PERFORM ANALYSISPRINT ANALYSIS RESULTSPARAMETER 1CODE BS5950CHECK CODE ALLFINISH
Hi,
You have specified all members in your model as truss member using the command STAAD TRUSS. When you declare all members connecting at specific nodes to be truss members, the alignment of the members must be such that the axial force from each member must be able to make its way through the common node to the other members. As the truss members are able to carry and transmit only the axial forces, so the load applied on the structure is not able to make its way into the supports because no paths exist for the load to flow through. For that reason there are several instability warning messages. An instability is a condition where a load applied on the structure is not able to make its way into the supports because no paths exist for the load to flow through, and may result in a lack of equilibrium between the applied load and the support reaction.
You can use the following command-
STAAD SPACE
You can define the members as truss members by partially releasing the moments at the start and the end nodes (1% fixity) as--
MEMBER RELEASE
<member number> START MP 0.995
<member number> END MP 0.995
You can also go through the following post--
http://communities.bentley.com/products/structural/structural_analysis___design/w/structural_analysis_and_design__wiki/staad-pro-instability-and-zero-stiffness-faq
I would think that your top and bottom chord members would be continuous members and would be subjected to bending. So you should not declare these or the vertical columns as TRUSS members. Instead you should declare the verticals and inclined braces, connecting the top and the bottom chords, as TRUSS members.
Partial releases are usually applied to stabilize the models but with the changes mentioned above, I did not see instabilities in the model anymore. So you do not have to use partial releases.
A modified file is attached for your reference
7433.Structure1.std