Computer Aided Design – SAAP 2000

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):

THE TRUSSTHE TRUSS

LOADING CASES : LIVE LOADLOADING CASES : LIVE LOAD

LOADING CASES : DEAD LOADLOADING CASES : DEAD LOAD

Deformed shape of the trussDeformed shape of the truss

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



11 FUNDAMENTALA Combination 0.00202 0 -0.029074 0 -0.000826 0


13 FUNDAMENTALA Combination -0.000501 0 -0.006857 0 -0.003899 0



Joint reactions on the steel trussJoint reactions on the steel truss

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


Maximum displacementMaximum displacement Effort diagramsEffort diagrams

The FrameThe Frame

Dead LoadsDead Loads

Live LoadsLive Loads

Snow LoadsSnow Loads

Deformed Shape of the FrameDeformed Shape of the Frame

Table: Joint DisplacementsTable: Joint Displacements



1 ULS Combination 0 0 0 0 0 0

2 ULS Combination 0.000052 0 -0.000034 0 0.000169 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


8 ULS Combination 0.000000823 0 -0.000097 0 0.000014 0

9 ULS Combination -0.000024 0 -0.000173 0 -0.000666 0


11 ULS Combination -0.000052 0 -0.000034 0 -0.000169 0

Joint reactions on the frameJoint reactions on the frame

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 :


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


8000N8000N Dead F1=12000N, Dead F1=12000N, Analysis cases: static analysis Analysis cases: static analysis



Maximum displacementMaximum displacement Effort diagramsEffort diagrams

The 3D FrameThe 3D Frame

Dead LoadsDead Loads

Live LoadsLive Loads

Deformed shape of the frame Deformed shape of the frame - ULS & SLS -- ULS & SLS -

TABLE: Joint Displacements SLS



10 FUNDAMENTALA Combination 0 0 0 0 0 0

11 FUNDAMENTALA Combination -0.055995 -2.346539 -0.845901 0.019661 0.010065 -0.013542



14 FUNDAMENTALA Combination 0.025254 -2.346539 -0.727988 0.019661 0.010065 -0.013542




















TABLE: Joint Displacements ULS



























F maxF max

M maxM max

V maxV max

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 :


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


8000N8000N Dead F1=12000N, Dead F1=12000N, Analysis cases: static analysis Analysis cases: static analysis



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





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

Deflected shape – Mode 1Deflected shape – Mode 1





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

Computer Aided Design – SAAP 2000

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