I'm trying to crosscheck a AISC design example regarding the DIRECT METHOD ANALYSIS.
My problem is that, if I check the moments and the displacements obtained by the Staad Model, I cannot get the same results given in the example.
Could anybody have a look and let me know where in my mistake in the staad model?
Here below both the staad model, while the the pdf reporting the AISC design example C.1A is given as attachment.
Many thanks in advance
Giorgio
STAAD SPACESTART JOB INFORMATIONENGINEER DATE 11-Dec-09END JOB INFORMATIONINPUT WIDTH 79UNIT FEET KIPJOINT COORDINATES1 0 0 0; 2 0 20 0; 3 0 4 0; 4 0 8 0; 5 0 12 0; 6 0 16 0; 7 30 0 0; 8 30 4 0;9 30 8 0; 10 30 12 0; 11 30 16 0; 12 30 20 0; 13 45 0 0; 14 45 4 0; 15 45 8 0;16 45 12 0; 17 45 16 0; 18 45 20 0; 19 7.5 20 0; 20 15 20 0; 21 22.5 20 0;22 33.75 20 0; 23 37.5 20 0; 24 41.25 20 0;MEMBER INCIDENCES1 1 3; 2 3 4; 3 4 5; 4 5 6; 5 6 2; 6 7 8; 7 8 9; 8 9 10; 9 10 11; 10 11 12;11 2 19; 12 13 14; 13 14 15; 14 15 16; 15 16 17; 16 17 18; 17 12 22; 18 19 20;19 20 21; 20 21 12; 21 22 23; 22 23 24; 23 24 18;DEFINE MATERIAL STARTISOTROPIC STEELE 4.28151e+006POISSON 0.3DENSITY 0.489024ALPHA 1.2e-005DAMP 0.03G 1.64674e+006TYPE STEELSTRENGTH FY 5288.19 FU 8517.08 RY 1.5 RT 1.2END DEFINE MATERIALMEMBER PROPERTY AMERICAN1 TO 10 12 TO 16 TABLE ST W12X6511 17 TO 23 TABLE ST W18X40CONSTANTSMATERIAL STEEL ALLSUPPORTS1 7 13 PINNEDMEMBER RELEASE17 START MY MZ23 END MY MZDEFINE DIRECT ANALYSISFLEX 1 ALL*FYLD 6500 LIST ALLAXIAL ALLNOTIONAL LOAD FACTOR 0.002ENDLOAD 1MEMBER LOAD11 18 TO 20 UNI GY -2.4JOINT LOAD2 12 FY -3618 FY -144*LOAD 2NOTIONAL LOAD1 X 0.002 LOAD 10REPEAT LOAD1 1.0 2 1.0 PERFORM ANALYSIS PRINT ALLCHANGELOAD 20REPEAT LOAD1 1.0 2 1.0 PERFORM DIRECT ANALYSIS LRFD PRINT LOAD DATAFINISH
The only minor thing I found is you used a young's modulus a little higher than 29000 ksi. Probably because you've got STAAD set up to use metric and they don't use the exact same value for E between Imperial and metric. When I changed this I got 0.148 inches of first order deflection vs. 0.149" in the example. I stil didn't get AISC's values for bending, even in the first-order case. Very odd. There must be a difference in stiffness between the two models but AISC doesn't give us enough info to check what they actually used for the moment of inertia.
Does anybody have acces to another program this can be checked with?
One other minor thing, if you change this to a PLANE model instead of SPACE you will get rid of your warnings.
Anyway, where AISC is getting 149 k-ft moment, I'm getting 127 k-ft. About 17% less. We definately need to get to the bottom of this because that's a significant difference.
Thank you very much RKillian for your post.
I was in doubt since it was the first time I was using Staad Direct Method, so I needed some confirmation.
Considering what you wrote, it seems that the procedure was correct, so I agree with you wedefinately need to get to the bottom of this because that's a significant difference.
I will wait for any other user that could help, in the meantime i will try to get in deep with this issue.
What I did I follow directly according to the original example of AISC example C1.A
I got Mz=135.358 ft-kips. A very significant difference from AISC example.
STAAD PLANE
START JOB INFORMATION
ENGINEER DATE 22-Jul-13
END JOB INFORMATION
INPUT WIDTH 79
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 0 20 0; 3 30 0 0; 4 30 20 0; 5 60 0 0; 6 60 20 0; 7 90 0 0;
8 90 20 0; 9 120 0 0; 10 120 20 0;
MEMBER INCIDENCES
1 1 2; 2 2 4; 3 3 4; 4 4 6; 5 5 6; 6 6 8; 7 7 8; 8 8 10; 9 9 10;
MEMBER RELEASE
2 6 8 START MY MZ
2 6 8 END MY MZ
DEFINE MATERIAL START
ISOTROPIC STEEL
E 4.176e+006
POISSON 0.3
DENSITY 0.489024
ALPHA 6e-006
DAMP 0.03
TYPE STEEL
STRENGTH FY 5184 FU 8352 RY 1.5 RT 1.2
END DEFINE MATERIAL
MEMBER PROPERTY AMERICAN
1 3 5 7 9 TABLE ST W12X65
2 4 6 8 TABLE ST W18X40
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 3 5 7 9 PINNED
*
DEFINE REFERENCE LOADS
LOAD R1 LOADTYPE None TITLE REF LOAD CASE 1
*SELFWEIGHT Y -1
MEMBER LOAD
2 4 6 8 UNI GY -2.4
END DEFINE REFERENCE LOADS
DEFINE DIRECT ANALYSIS
FLEX 1 LIST 4
AXIAL LIST 3 5
NOTIONAL LOAD FACTOR 0.002
END
LOAD 1 LOADTYPE None TITLE LOAD CASE 1
REFERENCE LOAD
R1 1.0
NOTIONAL LOAD
R1 X 0.002
LOAD 2 LOADTYPE None TITLE LOAD CASE 2
R1 X -0.002
PERFORM DIRECT ANALYSIS LRFD ITERATION 10 TAUTOL 0.01 DISPTOL 0.001 -
PRINT LOAD DATA
FINISH