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1 University of Central Florida Department of Civil and Environmental Engineering CES 6116 Finite Element Analysis SAP2000 Tutorial Instructor: Dr. F. Necati Catbas Assisted by former students: José J Perez Swapnil Chogle

2 Problem # 1 (Example 5.7, pg 219 of Textbook) Determine the joint displacements, member end forces, and support reactions for the beam shown in fig 5.18 (a), using the matrix stiffness method. Fig 5.18 Solution: Analytical model: See fig 5.18 (b). The beam has four degree of freedom (numbered 1 to 4) and four restrained coordinates (numbered 5 to 8) Procedure to model a structure in SAP2000 Nonlinear Phase I) Pre-processing Phase II) Analysis Phase III) Post-processing Phase I) Pre-processing Setting up the model Geometry o Choose units: KN-m o File > New Model > Coordinate System Definition > Cartesian > Number of grid > Grid Spacing > Ok. o Draw > Edit Grid (to change the grid) > Ok. o Select the Snap icon to snap to point, midpoint, etc. o Draw > Draw frame element o Select All > Edit > Change Label > Re-label Selected items > Ok. Define Material o Choose units: N-mm 2/13

3 o Concrete > Click Modify>Type of Material>Isotropic>Analysis Property data >Ok. Define Frame Section o Choose units: KN-mm o Add Rectangular Section > Dimensions > Depth > Width > Section properties > Moment of inertia about 3 > Ok > Ok > Ok. o Repeat the above step if Moment of Inertia is varying (as in problem 1). o Select the member > Assign > frame > Section. o View > Set Element. Assign Joint Restrains o Select joints to which you want to assign restrains. o J1 > Fast Restrains > Fixed o J2 > U2, R1, R3 o J3, J5 > U2, U3, R1, R3 o J4 > Fast Restrains > Free Assign Loads o Select members (frame) to which you want to assign loads. o Select M1 > Assign > Frame Static Load > Trapezoidal > Load Case Name > Load 1 > Force Type and Direction > Forces > Gravity > Trapezoidal Load > Input load value > Options > Ok. o Select J2 > Assign > Joint Static Load > Forces > Load Case Name > Load 1 > Force Global Z > Input load value (-ve force in downward direction) > Ok. o Repeat the above step for 150 KN concentrated force at Joint J4. o Select J3 > Assign > Joint Static Load > Forces > Load Case Name > Load 1 > Moment Global YY > Input load value (+ ve Moment Clockwise) > Ok. Phase II) Analysis Analyze > Run. o Analysis Complete > Check for Error / Warning > Ok Phase III) Post-Processing Check deflected shape > Ok. o Display > Show Deformed Shape o Display > Show Element forces / stresses > Joints > Joint Reaction Forces > Load 1 Load Case > Reactions > Ok > 3D (to view the moments at supports) o Display > Show Element forces / stresses > Frames > Member Force Diagram for Frames > Load 1 Load Case > Shear 2-2 > Scaling > Auto > Show values on Diagram > Ok o Display > Show Element forces / stresses > Frames > Member Force Diagram for Frames > Load 1 Load Case > Moment 3-3 > Scaling > Auto > Show values on Diagram > Ok To view the output table o File > Print Output Table > Type of Analysis Result > Select Load Case > Print to File > File Name > Ok (it will create output as a text file) o Option > Windows > Four (all results) 3/13

4 Problem # 1 (KN-m) Joint displacement 4/13

5 PROBLEM # 1 (INPUT DATA) (KN-m UNITS) S T A T I C L O A D C A S E S STATIC CASE SELF WT CASE TYPE FACTOR LOAD1 DEAD J O I N T D A T A JOINT GLOBAL-X GLOBAL-Y GLOBAL-Z RESTRAINTS ANGLE-A ANGLE-B ANGLE-C J J J J J F R A M E E L E M E N T D A T A FRAME JNT-1 JNT-2 SECTION ANGLE RELEASES SEGMENTS R1 R2 FACTOR LENGTH M1 J1 J2 CONCA M2 J2 J3 CONCB M3 J3 J4 CONCB M4 J4 J5 CONCB M A T E R I A L P R O P E R T Y D A T A MAT MODULUS OF POISSON'S THERMAL WEIGHT PER MASS PER LABEL ELASTICITY RATIO COEFF UNIT VOL UNIT VOL CONC F R A M E S E C T I O N P R O P E R T Y D A T A SECTION MAT SECTION DEPTH FLANGE FLANGE WEB FLANGE FLANGE LABEL LABEL TYPE WIDTH THICK THICK WIDTH THICK TOP TOP BOTTOM BOTTOM CONCA CONC CONCB CONC F R A M E S E C T I O N P R O P E R T Y D A T A SECTION AREA TORSIONAL MOMENTS OF INERTIA SHEAR AREAS LABEL INERTIA I33 I22 A2 A3 CONCA E E E CONCB E E E F R A M E S E C T I O N P R O P E R T Y D A T A SECTION SECTION MODULII PLASTIC MODULII RADII OF GYRATION LABEL S33 S22 Z33 Z22 R33 R22 CONCA 2.542E E E E E-02 CONCB 1.950E E E E E-02 5/13

6 F R A M E S E C T I O N P R O P E R T Y D A T A SECTION TOTAL TOTAL LABEL WEIGHT MASS CONCA CONCB S H E L L S E C T I O N P R O P E R T Y D A T A SECTION MAT SHELL MEMBRANE BENDING MATERIAL LABEL LABEL TYPE THICK THICK ANGLE SSEC1 CONC E E S H E L L S E C T I O N P R O P E R T Y D A T A SECTION TOTAL TOTAL LABEL WEIGHT MASS SSEC J O I N T F O R C E S Load Case LOAD1 JOINT GLOBAL-X GLOBAL-Y GLOBAL-Z GLOBAL-XX GLOBAL-YY GLOBAL-ZZ J F R A M E S P A N D I S T R I B U T E D L O A D S Load Case LOAD1 FRAME TYPE DIRECTION DISTANCE-A VALUE-A DISTANCE-B VALUE-B M1 FORCE GLOBAL-Z M1 FORCE GLOBAL-Z M1 FORCE GLOBAL-Z F R A M E S P A N P O I N T L O A D S Load Case LOAD1 FRAME TYPE DIRECTION DISTANCE VALUE M2 FORCE GLOBAL-Z M3 FORCE GLOBAL-Z /13

7 PROBLEM #1 (RESULTS) (KN-mm Units) J O I N T D I S P L A C E M E N T S JOINT LOAD U1 U2 U3 R1 R2 R3 J1 LOAD J2 LOAD E J3 LOAD E J4 LOAD E J5 LOAD E J O I N T R E A C T I O N S JOINT LOAD F1 F2 F3 M1 M2 M3 J1 LOAD J2 LOAD J3 LOAD J5 LOAD F R A M E E L E M E N T F O R C E S FRAME LOAD LOC P V2 V3 T M2 M3 M1 LOAD M2 LOAD M3 LOAD M4 LOAD /13

8 Problem # 2 & # 3 (Example 6.6, pg 300 & Example 7.4, pg 380 of Textbook) Determine the joint displacements, member end forces, and support reactions for the plane frame shown in fig 7.10 (a), due to the combined effect of the loading shown and settlement of 1 in of the left support. Use the matrix stiffness method. Fig 7.10 Solution: Analytical model: See fig 7.10 (b). The frame has three degrees of freedom the translations in the X and Y directions, and the rotation, of joint 2 which are numbered 1, 2, and 3, respectively. The six restrained coordinates of the frame are identified by numbers 4 through 9, as shown in fig 7.10 (b) Procedure to model a structure in SAP2000 Nonlinear Phase I) Pre-processing Phase II) Analysis Phase III) Post-processing Phase I) Pre-processing Setting up the model Geometry o Choose units: kip-ft o File > New Model > Coordinate System Definition > Cartesian > Number of grid > Grid Spacing > Ok. o Draw > Edit Grid (to change the grid) > Ok. o Select the Snap icon to snap to point, midpoint, etc. o Draw > Draw frame element o Select All > Edit > Change Label > Re-label Selected items > Ok. Define Material o Choose units: kip-in o Concrete > Click Modify>Type of Material>Isotropic>Analysis Property data >Ok. Define Frame Section o Choose units: kip-in 8/13

9 o Define > Frame Section > Import I section > c:\sap200n\sections.pro > choose W12x40 > Check section property > Moment of inertia about 3 > Check material, Steel >> Ok. o Repeat the above step if Moment of Inertia is varying (as in problem 1). o Select the member > Assign > frame > Section. o View > Set Element. Assign Joint Restrains o Select joints to which you want to assign restrains. o J1, J3 > Fast Restrains > Fixed o J2 > Fast Restrains > Free Assign Loads o Choose units: kip-ft o Select members (frame) to which you want to assign loads. o Select M1 > Assign > Frame Static Load > Point and uniform > Load Case Name > Load 1 > Load Type and Direction > Forces > Gravity > Point Load > Distance 0.5 > Input load value > Options > Ok. o Select M2 > Assign > Frame Static Load > Point and uniform > Load Case Name > Load 1 > Load Type and Direction > Forces > Gravity > Uniform Load > Input load value > Ok. o Select J2 > Assign > Joint Static Load > Forces > Load Case Name > Load 1 > Moment Global YY > Input load value (+ ve Moment Clockwise) > Ok. To settlement of 1 in at joint J1 (only for problem # 7.4) o Choose units: kip-in o Select J1 > Assign joint spring > Ok o Assign > Joint Static Loads > Displacement > Ground Displacement > Input > Ok Phase II) Analysis Analyze > Run. o Analysis Complete > Check for Error / Warning > Ok Phase III) Post-Processing Check deflected shape > Ok. o Display > Show Deformed Shape o Display > Show Element forces / stresses > Joints > Joint Reaction Forces > Load 1 Load Case > Reactions > Ok > 3D (to view the moments at supports) o Display > Show Element forces / stresses > Frames > Member Force Diagram for Frames > Load 1 Load Case > Shear 2-2 > Scaling > Auto > Show values on Diagram > Ok o Display > Show Element forces / stresses > Frames > Member Force Diagram for Frames > Load 1 Load Case > Moment 3-3 > Scaling > Auto > Show values on Diagram > Ok To view the output table o File > Print Output Table > Type of Analysis Result > Select Load Case > Print to File > File Name > Ok (it will create output as a text file) o Option > Windows > Four (all results) 9/13

10 Problem # 2 (kip-in) Joint Displacement 10/13

11 Problem # 3 kip-in) Joint displacement 11/13

12 PROBLEM # 2 (RESULTS) (KIP-in UNITS) J O I N T D I S P L A C E M E N T S JOINT LOAD U1 U2 U3 R1 R2 R3 J1 LOAD J2 LOAD E J3 LOAD J O I N T R E A C T I O N S JOINT LOAD F1 F2 F3 M1 M2 M3 J1 LOAD J3 LOAD F R A M E E L E M E N T F O R C E S FRAME LOAD LOC P V2 V3 T M2 M3 M1 M2 LOAD LOAD /13

13 PROBLEM # 3 (RESULTS) (KIP-in UNITS) J O I N T D I S P L A C E M E N T S JOINT LOAD U1 U2 U3 R1 R2 R3 J1 LOAD J2 LOAD E J3 LOAD J O I N T R E A C T I O N S JOINT LOAD F1 F2 F3 M1 M2 M3 J1 LOAD J3 LOAD F R A M E E L E M E N T F O R C E S FRAME LOAD LOC P V2 V3 T M2 M3 M1 M2 LOAD LOAD E /13

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