computer aided design – saap 2000
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Computer Aided Design – SAAP 2000TRANSCRIPT
Computer Aided DesignComputer Aided Design – SAAP 2000 -– SAAP 2000 -
Atasiei RaulAtasiei Raul
Gr. 3505Gr. 3505
PART 1PART 1 Perform the Linear Static Analysis Perform the Linear Static Analysis of a Steel Truss Structure.of a Steel Truss Structure.
GIVEN DATA :GIVEN DATA :
Materials Materials Steel OL37:Steel OL37:- Elasticity modulus: Es = 2,1*E11 - Elasticity modulus: Es = 2,1*E11
N/m2N/m2- Steel strengths: - Steel strengths: Fy = 235 Fy = 235
N/mm2N/mm2Fu = 350 Fu = 350
N/mm2N/mm2- Weight per unit volume:- Weight per unit volume: W = W =
78500 N/m378500 N/m3 Loading cases: Loading cases: Live Live F1= 15000 N, F2= F1= 15000 N, F2=
8000 N8000 NDead F1=3000N, F2=1500NDead F1=3000N, F2=1500N Analysis cases: static analysis Analysis cases: static analysis
cases – external loadingcases – external loading Combination: 1.35 DL + 1.5 LLCombination: 1.35 DL + 1.5 LL
REQUIRED OUTPUT :REQUIRED OUTPUT :
Maximum displacementMaximum displacement Effort diagramsEffort diagrams Stress checking (for the most Stress checking (for the most
loaded element):loaded element):
TABLE : Joint Displacements
Joint OutputCase CaseType U1 U2 U3 R1 R2 R3
Text Text Text m m m Radians Radians Radians
1 FUNDAMENTALA Combination 0 0 0 0 0.004819 0
4 FUNDAMENTALA Combination 0.00317 0 -0.030081 0 -3.867E-18 0
7 FUNDAMENTALA Combination 0.00634 0 0 0 -0.004819 0
8 FUNDAMENTALA Combination 0.006842 0 -0.006857 0 0.003899 0
9 FUNDAMENTALA Combination 0.005583 0 -0.02138 0 0.001993 0
10 FUNDAMENTALA Combination 0.00432 0 -0.029074 0 0.000826 0
11 FUNDAMENTALA Combination 0.00202 0 -0.029074 0 -0.000826 0
12 FUNDAMENTALA Combination 0.000757 0 -0.02138 0 -0.001993 0
13 FUNDAMENTALA Combination -0.000501 0 -0.006857 0 -0.003899 0
16 FUNDAMENTALA Combination 0.00077 0 -0.02123 0 0.001696 0
17 FUNDAMENTALA Combination 0.005571 0 -0.02123 0 -0.001696 0
Bending Moment diagram on the Bending Moment diagram on the truss under fundamental loadingtruss under fundamental loading
Axial diagram on the truss under Axial diagram on the truss under fundamental loadingfundamental loading
Stress checking (for the most loaded Stress checking (for the most loaded element):element):
σ = N/A ≤ Fyσ = N/A ≤ Fy A = 2850mm2A = 2850mm2 N =182395.44 NN =182395.44 N σσ = 182395.44 / = 182395.44 /
2850 ≤ Fy = 2850 ≤ Fy = 63.99 N/mm263.99 N/mm2
σσ = 63.99 ≤ 235 = 63.99 ≤ 235 N/mm2N/mm2
OK!OK!
PART 2PART 2 Perform the Linear Static Analysis of a Perform the Linear Static Analysis of a
Frame Structure.Frame Structure. GIVEN DATA :GIVEN DATA :
Materials Materials Concrete BC 25:Concrete BC 25: - Elasticity modulus: Es = - Elasticity modulus: Es =
2,7*E10 N/m22,7*E10 N/m2 - Concrete strengths:- Concrete strengths:F’c=12500000 N/m2 F’c=12500000 N/m2 Fy = 3E8 N/m2 Fy = 3E8 N/m2 Fu = 2.1E8 N/m2Fu = 2.1E8 N/m2
Weight per unit volume:Weight per unit volume:W = 25000 N/m3W = 25000 N/m3
Loading cases: Loading cases: Live Live F1= 10000N, F2= F1= 10000N, F2=
8000N8000NDead F1=12000N, Dead F1=12000N, Snow F1 =5000 NSnow F1 =5000 N Analysis cases: static analysis Analysis cases: static analysis
cases – external loadingcases – external loading Combination: 1.35 DL + 1.5 Combination: 1.35 DL + 1.5
LL+1.05SLL+1.05S
REQUIRED OUTPUT :REQUIRED OUTPUT :
Maximum displacementMaximum displacement Effort diagramsEffort diagrams
Table: Joint DisplacementsTable: Joint Displacements
Joint OutputCase CaseType U1 U2 U3 R1 R2 R3
Text Text Text m m m Radians Radians Radians
1 ULS Combination 0 0 0 0 0 0
2 ULS Combination 0.000052 0 -0.000034 0 0.000169 0
4 ULS Combination 0 0 0 0 0 0
5 ULS Combination -0.000000823 0 -0.000097 0 -0.000014 0
6 ULS Combination 0.000024 0 -0.000173 0 0.000666 0
7 ULS Combination 0 0 0 0 0 0
8 ULS Combination 0.000000823 0 -0.000097 0 0.000014 0
9 ULS Combination -0.000024 0 -0.000173 0 -0.000666 0
10 ULS Combination 0 0 0 0 0 0
11 ULS Combination -0.000052 0 -0.000034 0 -0.000169 0
TABLE: Joint Reactions
Joint OutputCase CaseType F1 F2 F3 M1 M2 M3
Text Text Text N N N N-m N-m N-m
1 ULS Combination 41307.56 0 204349.2 0 31600.86 0
4 ULS Combination -4235.43 0 478807.05 0 -3776.9 0
7 ULS Combination 4235.43 0 478807.05 0 3776.9 0
10 ULS Combination -41307.56 0 204349.2 0 -31600.86 0
Axial diagram on the frame under Axial diagram on the frame under fundamental loadingfundamental loading
Shear Force diagram on the frame Shear Force diagram on the frame under fundamental loadingunder fundamental loading
Bending Moment diagram on the Bending Moment diagram on the frame under fundamental loading.frame under fundamental loading.
PART 3PART 3 Perform the Linear Static Analysis of a Perform the Linear Static Analysis of a
3D Frame Structure.3D Frame Structure. GIVEN DATA :GIVEN DATA :
Materials Materials Concrete BC 25:Concrete BC 25: - Elasticity modulus: Es = - Elasticity modulus: Es =
2,7*E10 N/m22,7*E10 N/m2 - Concrete strengths:- Concrete strengths: F’c=12500000 N/m2 F’c=12500000 N/m2 Fy = 3E8 N/m2 Fy = 3E8 N/m2 Fu = 2.1E8 Fu = 2.1E8
N/m2N/m2 Weight per unit volume:Weight per unit volume:
W = 25000 N/m3W = 25000 N/m3
Loading cases: Loading cases: Live Live F1= 10000N, F2= F1= 10000N, F2=
8000N8000N Dead F1=12000N, Dead F1=12000N, Analysis cases: static analysis Analysis cases: static analysis
cases – external loadingcases – external loading Combination: 1.35 DL + 1.5 LLCombination: 1.35 DL + 1.5 LL
REQUIRED OUTPUT :REQUIRED OUTPUT :
Maximum displacementMaximum displacement Effort diagramsEffort diagrams
TABLE: Joint Displacements SLS
Joint OutputCase CaseType U1 U2 U3 R1 R2 R3
Text Text Text m m m Radians Radians Radians
10 FUNDAMENTALA Combination 0 0 0 0 0 0
11 FUNDAMENTALA Combination -0.055995 -2.346539 -0.845901 0.019661 0.010065 -0.013542
12 FUNDAMENTALA Combination -0.054875 -3.574108 -1.257346 0.026367 0.01438 -0.020312
13 FUNDAMENTALA Combination 0 0 0 0 0 0
14 FUNDAMENTALA Combination 0.025254 -2.346539 -0.727988 0.019661 0.010065 -0.013542
15 FUNDAMENTALA Combination 0.066999 -3.574108 -1.099174 0.026367 0.01438 -0.020312
19 FUNDAMENTALA Combination 0 0 0 0 0 0
20 FUNDAMENTALA Combination -0.055995 -2.427799 -0.906337 0.019661 0.010065 -0.013542
21 FUNDAMENTALA Combination -0.054875 -3.695993 -1.343671 0.026367 0.01438 -0.020312
22 FUNDAMENTALA Combination 0 0 0 0 0 0
23 FUNDAMENTALA Combination 0.025254 -2.427801 -0.788458 0.019661 0.010065 -0.013542
24 FUNDAMENTALA Combination 0.066999 -3.695994 -1.185524 0.026367 0.01438 -0.020312
25 FUNDAMENTALA Combination 0 0 0 0 0 0
26 FUNDAMENTALA Combination 0.106501 -2.427795 -0.670477 0.019661 0.010065 -0.013542
27 FUNDAMENTALA Combination 0.188871 -3.695989 -1.02727 0.026368 0.01438 -0.020312
28 FUNDAMENTALA Combination 0 0 0 0 0 0
29 FUNDAMENTALA Combination -0.055995 -2.509042 -0.966669 0.019661 0.010065 -0.013542
30 FUNDAMENTALA Combination -0.054875 -3.817861 -1.429895 0.026367 0.014379 -0.020312
31 FUNDAMENTALA Combination 0 0 0 0 0 0
32 FUNDAMENTALA Combination 0.025253 -2.509045 -0.848804 0.019661 0.010065 -0.013542
33 FUNDAMENTALA Combination 0.066998 -3.817863 -1.27176 0.026367 0.014379 -0.020312
34 FUNDAMENTALA Combination 0 0 0 0 0 0
35 FUNDAMENTALA Combination 0.106501 -2.509041 -0.730842 0.019661 0.010065 -0.013542
36 FUNDAMENTALA Combination 0.188871 -3.817859 -1.113526 0.026368 0.014379 -0.020312
TABLE: Joint Displacements ULS
Joint OutputCase CaseType U1 U2 U3 R1 R2 R3
Text Text Text m m m Radians Radians Radians
10 FUNDAMENTALA Combination 0 0 0 0 0 0
11 FUNDAMENTALA Combination -0.055995 -2.346539 -0.845901 0.019661 0.010065 -0.013542
12 FUNDAMENTALA Combination -0.054875 -3.574108 -1.257346 0.026367 0.01438 -0.020312
13 FUNDAMENTALA Combination 0 0 0 0 0 0
14 FUNDAMENTALA Combination 0.025254 -2.346539 -0.727988 0.019661 0.010065 -0.013542
15 FUNDAMENTALA Combination 0.066999 -3.574108 -1.099174 0.026367 0.01438 -0.020312
19 FUNDAMENTALA Combination 0 0 0 0 0 0
20 FUNDAMENTALA Combination -0.055995 -2.427799 -0.906337 0.019661 0.010065 -0.013542
21 FUNDAMENTALA Combination -0.054875 -3.695993 -1.343671 0.026367 0.01438 -0.020312
22 FUNDAMENTALA Combination 0 0 0 0 0 0
23 FUNDAMENTALA Combination 0.025254 -2.427801 -0.788458 0.019661 0.010065 -0.013542
24 FUNDAMENTALA Combination 0.066999 -3.695994 -1.185524 0.026367 0.01438 -0.020312
25 FUNDAMENTALA Combination 0 0 0 0 0 0
26 FUNDAMENTALA Combination 0.106501 -2.427795 -0.670477 0.019661 0.010065 -0.013542
27 FUNDAMENTALA Combination 0.188871 -3.695989 -1.02727 0.026368 0.01438 -0.020312
28 FUNDAMENTALA Combination 0 0 0 0 0 0
29 FUNDAMENTALA Combination -0.055995 -2.509042 -0.966669 0.019661 0.010065 -0.013542
30 FUNDAMENTALA Combination -0.054875 -3.817861 -1.429895 0.026367 0.014379 -0.020312
31 FUNDAMENTALA Combination 0 0 0 0 0 0
32 FUNDAMENTALA Combination 0.025253 -2.509045 -0.848804 0.019661 0.010065 -0.013542
33 FUNDAMENTALA Combination 0.066998 -3.817863 -1.27176 0.026367 0.014379 -0.020312
34 FUNDAMENTALA Combination 0 0 0 0 0 0
35 FUNDAMENTALA Combination 0.106501 -2.509041 -0.730842 0.019661 0.010065 -0.013542
36 FUNDAMENTALA Combination 0.188871 -3.817859 -1.113526 0.026368 0.014379 -0.020312
PART 4PART 4 Perform the Linear Static Perform the Linear Static Analysis of a 3D Frame Structure.Analysis of a 3D Frame Structure.
GIVEN DATA :GIVEN DATA :
Materials Materials Concrete BC 25:Concrete BC 25: - Elasticity modulus: Es = - Elasticity modulus: Es =
2,7*E10 N/m22,7*E10 N/m2 - Concrete strengths:- Concrete strengths: F’c=12500000 N/m2 F’c=12500000 N/m2 Fy = 3E8 N/m2 Fy = 3E8 N/m2 Fu = 2.1E8 Fu = 2.1E8
N/m2N/m2 Weight per unit volume:Weight per unit volume:
W = 25000 N/m3W = 25000 N/m3
Loading cases: Loading cases: Live Live F1= 10000N, F2= F1= 10000N, F2=
8000N8000N Dead F1=12000N, Dead F1=12000N, Analysis cases: static analysis Analysis cases: static analysis
cases – external loadingcases – external loading Combination: 1.35 DL + 1.5 LLCombination: 1.35 DL + 1.5 LL
REQUIRED OUTPUT :REQUIRED OUTPUT :
Displacements checkingDisplacements checking
Modal PeriodsModal Periods
The Frame and Analysis specterThe Frame and Analysis specterResponse Spectrum
Name Period Accel
Text Sec Unitless
Spec-ias 0 1.962
Spec-ias 0.07 0.799333
Spec-ias 0.7 0.799333
Spec-ias 0.8 0.699417
Spec-ias 0.9 0.621704
Spec-ias 1 0.559533
Spec-ias 1.1 0.508667
Spec-ias 1.2 0.466278
Spec-ias 1.3 0.43041
Spec-ias 1.4 0.399667
Spec-ias 1.5 0.373022
Spec-ias 1.6 0.349708
Spec-ias 1.7 0.329137
Spec-ias 1.8 0.310852
Spec-ias 1.9 0.294491
Spec-ias 2 0.279767
Spec-ias 2.1 0.266444
Spec-ias 2.2 0.254333
Spec-ias 2.3 0.243275
TABLE: Response Spectrum Modal Information
OutputCase ModalCase StepType Period DampRatio U1Acc U2Acc U3Acc
Text Text Text Sec Unitless mm/sec2 mm/sec2 mm/sec2
Modala MODAL Mode 0.191566 0.05 0.8 0.8 0
Modala MODAL Mode 0.065947 0.05 0.87 0.87 0
Modala MODAL Mode 0.036365 0.05 1.36 1.36 0
Modala MODAL Mode 0.024585 0.05 1.55 1.55 0
Modala MODAL Mode 0.0221 0.05 1.59 1.59 0
Table : Modal participating RatiosTable : Modal participating Ratios
OutputCase Period UX UY UZ SumUX SumUY SumUZ
Text Sec Unitless Unitless Unitless Unitless Unitless Unitless
MODAL 0.164158 0.74 0 0 0.74 0 0
MODAL 0.062325 0.26 0 0 1 0 0
MODAL 0.033578 0 00.000007
564 1 00.000007
564
MODAL 0.020735 0 0 0.75 1 0 0.75
MODAL 0.0206880.000004
631 0 0 1 0 0.75
Table : Displacement CheckingTable : Displacement Checking
SLS ULS dr-SLS dr-ULS dra-SLS dra-ULS
ABS REL ABS REL
0 0 0 0 0 0 0
0.0224 0.07
1 -0.00001 -0.00001 -0.00001 -0.00001 -3.4E-05 -0.00014
2 -0.000018 0.000008 -0.000018 0.000008 0.000027 0.000108
3 -0.000048 0.00003 -0.000048 0.00003 0.000101 0.000405
4 -0.00004 0.000008 -0.00004 0.000008 0.000027 0.000108
5 0.000029 0.000069 0.000029 0.000069 0.000233 0.000932