17
Tips for Using CUFSM 3.12 for Aluminum Flexural Buckling Analyzing two or more linked mullion shapes with CUFSM can be tedious, because when total moment is proportioned based on stiffness, maximum stress is slightly different in the shapes. Use of the stress generation feature on the “Properties” screen (assuming that screen will even open) will yield incorrect stresses, because CUFSM applies the same linear stress distribution to all shapes in the model (as if they were a composite section). More importantly, the "Properties" screen will not open if: (a) there are two or more unconnected shapes on the “Input” screen; (b) the "Input" screen has a complex shape with nontubular elements and an internal tubular portion; (c) if master/slave data has been entered in the "General Constraints" box on the "Input" screen. A workable but time-consuming strategy is to manually compute stresses in all shapes, and enter the data on the “Input” screen. Fortunately there are easier ways. An Excel worksheet (attached) helps organize data and compute results. Approximate Analysis for Two Linked Aluminum Shapes Without Reinforcement 1. If the neutral axes for the bending axis of the two shapes nearly coincide, and the maximum stresses for the two shapes are nearly the same, an approximate analysis can be done in relatively few steps. This only applies for two aluminum shapes, without reinforcement. 2. On a drawing, number the nodes of the two shapes. Completely number the first shape (for example nodes 1 to 10); then number the second shape (for example nodes 11 to 20). While it is possible to go back and forth, it is much easier to process data if nodes for each shape are in a sequential group. In each of the two shapes, place a node at the approximate position of the composite neutral axis (usually near middepth). For this step, connect these nodes with a fictitious, very thin, horizontal element (to be removed later). If there are internal tubular portions, for this step leave a small gap (to be closed later) in each tube near the neutral axis. See Screen 1. 3. Always compile input data for joints and elements in a separate Excel document, with the data organized line-by-line as in CUFSM. (A separate text document can also be used, but a spreadsheet has the advantage that individual columns can be easily edited.) If CUFSM input is inadvertently lost, the spreadsheet allows quick recovery. Cut and paste the data onto the CUFSM "Input" screen. Data pasted into CUFSM from a spreadsheet will look wrong (too many lines with large gaps between numbers), but will correct itself when the “Update Plot” button is selected. In the “Nodes” table, stress values can be any number initially (1.0 is used in the example); they will be changed later. The input data file for the examples is attached. 4. In the “Material Properties” box, enter values for aluminum in ksi. E=10000. Poisson's ratio “v” values are 0.33. G=3760. 5. Switch to the “Properties” screen. The displayed moment of inertia should approximately equal the sum of inertias for the two shapes. (If not, consider using the Exact Analysis.) RECORD THE VALUE FOR "Ixx." Weak axis and torsional properties will not be correct, but this does not matter, since the properties are not used in the analysis. In the lower left quadrant, enter yield stress (ksi) as a positive number in the box next to "Generate P and M Based on max. (yield) stress.” (If flanges are "thick," enter the stress at middepth of the extreme fiber flange, rather than yield stress. In CUFSM, the extreme fiber is taken as the centerline of the flange element.) The back flange (top of the drawing) will be in compression. Select “Restrained Bending.” Select "Calculate P, M and B." The value displayed for "Mxx" is the yield moment. RECORD THE VALUE FOR "Mxx." Make sure only the Mxx box is checked. Select the “Generate Stress Using Checked P and M” button. The stress distribution appears in the lower right quadrant. See Screen 2. 6. Return to the “Input” screen. Delete the fictitious connecting element by removing it from the “Elements” table. (The “Delete Elem.” button does not work.) Close gaps in internal tubes by adding elements. Click “Update Plot” and check the “stress dist” box to see that only the desired shapes are present, and the stresses are correct. Select a pair of nodes at the front flange, and another pair at the back flange for entry of data in the “General Constraints” window. The Master/Slave button is problematic in CUFSM 3.12 (even though it works well in CUFSM 2.6), so enter data manually. The purpose is to assure that selected pairs of points move the same in the “x” and “y” directions. In CUFSM, these are the “1” and “2” directions. There are 2 lines of input for each pair of nodes, with 8

Tips for Using CUFSM

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Page 1: Tips for Using CUFSM

Tips for Using CUFSM 3.12 for Aluminum Flexural Buckling

Analyzing two or more linked mullion shapes with CUFSM can be tedious, because when total moment is proportioned based on stiffness, maximum stress is slightly different in the shapes. Use of the stress generation feature on the “Properties” screen (assuming that screen will even open) will yield incorrect stresses, because CUFSM applies the same linear stress distribution to all shapes in the model (as if they were a composite section). More importantly, the "Properties" screen will not open if:

(a) there are two or more unconnected shapes on the “Input” screen;(b) the "Input" screen has a complex shape with nontubular elements and an internal tubular portion;(c) if master/slave data has been entered in the "General Constraints" box on the "Input" screen.

A workable but time-consuming strategy is to manually compute stresses in all shapes, and enter the data on the “Input” screen. Fortunately there are easier ways. An Excel worksheet (attached) helps organize data and compute results.

Approximate Analysis for Two Linked Aluminum Shapes Without Reinforcement1. If the neutral axes for the bending axis of the two shapes nearly coincide, and the maximum stresses

for the two shapes are nearly the same, an approximate analysis can be done in relatively few steps. This only applies for two aluminum shapes, without reinforcement.

2. On a drawing, number the nodes of the two shapes. Completely number the first shape (for example nodes 1 to 10); then number the second shape (for example nodes 11 to 20). While it is possible to go back and forth, it is much easier to process data if nodes for each shape are in a sequential group. In each of the two shapes, place a node at the approximate position of the composite neutral axis (usually near middepth). For this step, connect these nodes with a fictitious, very thin, horizontal element (to be removed later). If there are internal tubular portions, for this step leave a small gap (to be closed later) in each tube near the neutral axis. See Screen 1.

3. Always compile input data for joints and elements in a separate Excel document, with the data organized line-by-line as in CUFSM. (A separate text document can also be used, but a spreadsheet has the advantage that individual columns can be easily edited.) If CUFSM input is inadvertently lost, the spreadsheet allows quick recovery. Cut and paste the data onto the CUFSM "Input" screen. Data pasted into CUFSM from a spreadsheet will look wrong (too many lines with large gaps between numbers), but will correct itself when the “Update Plot” button is selected. In the “Nodes” table, stress values can be any number initially (1.0 is used in the example); they will be changed later. The input data file for the examples is attached.

4. In the “Material Properties” box, enter values for aluminum in ksi. E=10000. Poisson's ratio “v” values are 0.33. G=3760.

5. Switch to the “Properties” screen. The displayed moment of inertia should approximately equal the sum of inertias for the two shapes. (If not, consider using the Exact Analysis.) RECORD THE VALUE FOR "Ixx." Weak axis and torsional properties will not be correct, but this does not matter, since the properties are not used in the analysis. In the lower left quadrant, enter yield stress (ksi) as a positive number in the box next to "Generate P and M Based on max. (yield) stress.” (If flanges are "thick," enter the stress at middepth of the extreme fiber flange, rather than yield stress. In CUFSM, the extreme fiber is taken as the centerline of the flange element.) The back flange (top of the drawing) will be in compression. Select “Restrained Bending.” Select "Calculate P, M and B." The value displayed for "Mxx" is the yield moment. RECORD THE VALUE FOR "Mxx." Make sure only the Mxx box is checked. Select the “Generate Stress Using Checked P and M” button. The stress distribution appears in the lower right quadrant. See Screen 2.

6. Return to the “Input” screen. Delete the fictitious connecting element by removing it from the “Elements” table. (The “Delete Elem.” button does not work.) Close gaps in internal tubes by adding elements. Click “Update Plot” and check the “stress dist” box to see that only the desired shapes are present, and the stresses are correct. Select a pair of nodes at the front flange, and another pair at the back flange for entry of data in the “General Constraints” window. The Master/Slave button is problematic in CUFSM 3.12 (even though it works well in CUFSM 2.6), so enter data manually. The purpose is to assure that selected pairs of points move the same in the “x” and “y” directions. In CUFSM, these are the “1” and “2” directions. There are 2 lines of input for each pair of nodes, with 8

Page 2: Tips for Using CUFSM

numbers in each line. The format is shown below (with each line explained just to the right of the numbers). The 3 zeroes at the end of each line are needed for CUFSM to interpret the data correctly. In the example, joints 9 and 22 are at the back flange, while joints 3 and 16 are at the front flange.

9 1 1 22 1 0 0 0 Jt 9 movement in 1 direction= 1x Jt 22 movement in 1 direction. 9 2 1 22 2 0 0 0 Jt 9 movement in 2 direction= 1x Jt 22 movement in 2 direction.3 1 1 16 1 0 0 0 Jt 3 movement in 1 direction= 1x Jt 16 movement in 1 direction3 2 1 16 2 0 0 0 Jt 3 movement in 2 direction= 1x Jt 16 movement in 2 direction

After entering constraint data, select the “Update Plot” button. In the “Lengths” box, enter the unbraced length, if it is not already listed. See Screen 3.

7. Select the “Analyze” button. Results appear on the “Post Processor” screen. Adjust the slide button for “half-wavelength” to the correct unbraced length, and select the “Plot Shape" button. RECORD THE VALUE FOR "load factor." SAVE the file. Include "bk" in the file name to indicate compression in the back flange. See Screen 4. (CUFSM files have a ".mat" extension, even if it is not displayed. If the extension is lost, a saved file will appear in the "All Files" list, but not in the "MAT" files list. If this happens, add a ".mat" extension to the file name, and CUFSM will recognize it.)

8. Return to the "Properties" screen. In the "Nodes" table, change the sign of all the stresses (last number in each line). This places the front flange in compression. Make sure the General Constraints and the desired unbraced length are still shown correctly. Repeat step 7. Save the file. Include "fr" in the file name to indicate front flange in compression. See Screens 5 and 6.

9. See Screen 7. In Part 1 of the Excel worksheet, for "Shape 1" enter the "Ixx" value from CUFSM; set "My" to the value of "Mxx" from CUFSM. For Shapes 2 to 4, set "Ixx" and "Mxx" to zero. In Part 2, set "LFbk" and "LFfr" to the values from CUFSM. The worksheet computes critical (buckling) moment (Mcre) for the combined shapes by multiplying yield moment Mxx (from step 5) by the load factors (steps 7 and 8). The worksheet also computes allowable moments using formulas in the AISI spec, and the omega factor (1.65) for aluminum.

10. For comparison, Screen 7 and Screen 8 show the worksheets for approximate and exact methods. Differences in the allowable moments are less than 2 percent.

Exact Analysis For Two Linked Aluminum Shapes, With or Without Steel Reinforcement1. Neutral axes and maximum stresses of two linked (but not composite) shapes usually do not

coincide. To analyze the linked shapes as additive sections, the procedure, as explained in steps 2 to 14, is:a. Use results from CUFSM “Properties” screens as input for Part 1 of the Excel worksheet. Use

“Ixx” and "Mxx" values (from CUFSM) as input values for “Ixx” and "Mxx" in Excel. In CUFSM, the extreme fiber is taken as the centerline of the flange element. Therefore “I” values derived in AutoCAD are slightly different. For consistency, use properties from CUFSM.

b. Use "Mshared" values from Part 1 of the worksheet as additional input on the CUFSM “Properties” screen for each shape.

c. Use "load factor" values from CUFSM “Post Processor” screens as input for Part 2 of the Excel worksheet, to calculate allowable moments for the linked sections.

d. The Excel worksheet accepts up to 4 shapes, which can be any combination of aluminum and steel.

2. Same as for “Approximate Analysis,” except there is no thin fictitious connecting element. (Internal tubular portions must have small gaps, or the “Properties” screen may not open.)

3. Same as for “Approximate Analysis.”4. This step must be done separately for each shape in the combined section. (Steel bars must be

analyzed manually; CUFSM will not generate stresses for a single bar.) Open a new CUFSM file to the "Input" screen. Enter node and element data for ONE SHAPE only. It is OK if node numbering and element numbering do not begin with “1,” as long as the data is in correct sequence. After the “Update Plot” button is clicked, numbering will be adjusted automatically. Switch to the "Properties" screen. RECORD THE VALUE FOR "Ixx." In the lower left quadrant, enter yield stress (ksi) as a positive number in the box next to "Generate P and M Based on max. (yield) stress.” (If flanges are "thick," enter the stress at middepth of the extreme fiber flange, rather than yield stress.) The back

Page 3: Tips for Using CUFSM

flange (top of the drawing) will be in compression. Select “Restrained Bending.” Select "Calculate P, M and B." The value displayed for "Mxx" is the yield moment. RECORD THE VALUE FOR "Mxx." SAVE the CUFSM file. See Screens 9 and 10.

5. When "Ixx" and "Mxx" have been determined for all shapes, enter the values in Part 1 of the Excel worksheet. Enter zero values for shapes that are not used. Enter zero values last. See Screen 14.

6. Steps 6 and 7 must be done separately for each shape in the combined section, except the one that yields first (for which stresses are already correct). Open a saved CUFSM file. Switch to the “Properties” screen. In the lower left quadrant, set Mxx equal to Mshared (in-kip) from the worksheet, as a positive value. The rear flange (top on the drawing) will be in compression. Select “Restrained Bending.” Make sure only the Mxx box is checked. Click the “Generate Stress Using Checked P and M” button. The stress distribution appears in the lower right quadrant. SAVE the file (same name or new file name).

7. Return to the “Input” screen. Copy the entire “Nodes” table, which now has the correct stress numbers. Paste this data into the spreadsheet file in a separate area (don't overwrite existing data, because node numbering may be different). When importing from CUFSM to a spreadsheet, select “space” as the delimiter, so that each number is placed in a separate cell. From this newly entered data, copy only the stress numbers (the last column), and paste them into the last column of the original data set for the corresponding shape (on the same spreadsheet).

8. Repeat steps 6 and 7 for the other shapes in the combined section (except the one that yields first). Stresses in steel bars must be done by hand. CUFSM will compute properties, but not stresses, for a single bar.

9. Open a new CUFSM file. Construct all shapes in their correct side-by-by positions on the CUFSM “Input” screen, using the original data set (now edited with correct stresses) from the spreadsheet. (Do not add a fictitious horizontal element. Close gaps previously left in internal tubular portions by adding elements.) See Screen 11.

10. Select a pair of nodes at the front flange, and another pair at the back flange for entry of data in the “General Constraints” window. The Master/Slave button is problematic in CUFSM 3.12 (even though it works well in CUFSM 2.6), so enter data manually. The purpose is to assure that selected points move the same in the “x” and “y” directions. In CUFSM, these are the “1” and “2” directions. There are 2 lines of input for each node pair, with 8 numbers each. The format is shown below (with each line explained just to the right). The 3 zeroes at the end of each line are needed for CUFSM to interpret the data correctly. In the example, joints 9 and 22 are at the back flange, while joints 3 and 16 are at the front flange. Steel reinforcement nodes 28 and 31 are constrained to extrusion nodes 6 and 19.

9 1 1 22 1 0 0 0 Jt 9 movement in 1 direction= 1x Jt 22 movement in 1 direction. 9 2 1 22 2 0 0 0 Jt 9 movement in 2 direction= 1x Jt 22 movement in 2 direction.3 1 1 16 1 0 0 0 Jt 3 movement in 1 direction= 1x Jt 16 movement in 1 direction3 2 1 16 2 0 0 0 Jt 3 movement in 2 direction= 1x Jt 16 movement in 2 direction28 1 1 6 1 0 0 0 Steel Jt 28 movement in 1 direction= 1x Jt 6 movement in 1 direction28 2 1 6 2 0 0 0 Steel Jt 28 movement in 2 direction= 1x Jt 6 movement in 2 direction31 1 1 19 1 0 0 0 Steel Jt 31 movement in 1 direction= 1x Jt 19 movement in 1 direction31 2 1 19 2 0 0 0 Steel Jt 28 movement in 2 direction= 1x Jt 19 movement in 2 direction

After entering the data, click the “Update Plot” button. In the “Lengths” box, enter the unbraced length, if it is not already listed. See Screen 11.

11. Click the “Analyze” button. Results are on the “Post Processor” screen. Adjust the slide button for “half-wavelength” to the correct unbraced length, and click the “Plot Shape" button. SAVE the file. Include “lbk” in the file name to indicate linked sections, back flange in compression. RECORD THE VALUE for “load factor” from the “Post Processor” screen. See Screen 12.

12. Return to input screen. In the Nodes table, change the sign of all the stresses.13. Repeat step 12. Include “lfr” in the SAVED file name to indicate linked sections, front flange in

compression. RECORD THE VALUE for “load factor” from the “Post Processor” screen. See Screen 13.

Page 4: Tips for Using CUFSM

14. In Part 2 of the worksheet, enter the "load factor" values from CUFSM. The worksheet computes critical buckling moment "Mcre" and allowable moment "Mallow" for front and back flanges in compression, using formulas from the AISI spec. See Screen 14.

Page 5: Tips for Using CUFSM

Screen 1. Approximate solution steps 1-3. Fictitious element connects nodes 13 and 24. Small gaps in internal tubes.

Screen 2. Approximate solution step 5. Ixx=36.48. Mxx=243.6.

Page 6: Tips for Using CUFSM

Screen 3. Approximate solution step 6. Fictitious connecting element removed. Elements added to close gaps in internal tubes. Node 9 constrained to move with node 22. Node 3 constrained to move with node 16. Unbraced length=120 added to list.

Screen 4. Approximate solution step 7. Back flange in compression. Load factor=2.453.

Page 7: Tips for Using CUFSM

Screen 5. Approximate solution step 8. Signs reversed for all stress values in the Nodes table. Front flange in compression.

Screen 6. Approximate solution step 8. Front flange in compression. Load factor=2.656.

Page 8: Tips for Using CUFSM

Screen 7. Excel Worksheet for Approximate Solution.

Project Name Approximate solution exampleProject Number naAnalysis Description Two linked extrusionsInitials CWK EDIT COLOR SHADEDDate 06/02/11 CELLS ONLY

EVALUATION OF ALLOWABLE BENDING MOMENT USING CUFSM AND AISIPART 1

Enter E, Ixx and yield moment Mxx for 1 to 4 shapes; zero entries must be lastE, ksi Ixx, in 4 Mxx, in kip %Mtotal Mtotal_trial Mshared

Shape 1 10000 36.48 243.6 1.000 243.6 243.6Shape 2 10000 0 0 0.000 0.0 0.0Shape 3 29000 0 0 0.000 0.0 0.0Shape 4 29000 0 0 0.000 0.0 0.0Yield Moment for Linked Shapes, in kip MyL 243.6Input Mshared values on “Properties” screens (shapes 1-4) of CUFSM to generate final stresses

PART 2Enter load factor results for front and back flanges from CUFSM Symbol ValueRESULTS FOR BACK FLANGE OF LINKED SHAPESCUFSM load factor, back flange, linked shapes LFbk 2.453Buckling moment, back flange, linked shapes, in kip MyL*LFbk Mcrebk 597.6Nominal strength,back flange, linked shapes, in kip Mnebk 240.0

IF(Mcre<0.56My), Mne=McreIF(Mcre>2.78My), Mne=Myotherwise Mne=(10/9)My[1-(10My/36Mcre)]

Safety factor for bending (aluminum) Ωb 1.65Allowable moment, back flange, linked shapes, in kip Mallowbk 145.46RESULTS FOR FRONT FLANGE OF LINKED SHAPESCUFSM load factor, front flange, linked shapes LFfr 2.656Buckling moment, front flange, linked shapes, in kip MyL*LFfr Mcrefr 647.00Nominal strength,front flange, linked shapes, in kip Mnefr 242.36Allowable moment, front flange, linked shapes, in kip Mallowfr 146.88

Procedure: 1. Enter data from CUFSM in PART 1.2. Use Mshared values as input for CUFSM.3. Enter load factors from CUFSM in PART 2.

Mnebk/Ωb

Mneft/Ωb

Page 9: Tips for Using CUFSM

Screen 8. Excel Worksheet Using Exact Method for Comparison With Approximate Method.

Project Name Two linked shapes by exact methodProject Number naAnalysis Description Same shapes as for approx. solutionInitials CWK EDIT COLOR SHADEDDate 06/02/11 CELLS ONLY

EVALUATION OF ALLOWABLE BENDING MOMENT USING CUFSM AND AISIPART 1

Enter E, Ixx and yield moment Mxx for 1 to 4 shapes; zero entries must be lastE, ksi Ixx, in 4 Mxx, in kip %Mtotal Mtotal_trial Mshared

Shape 1 10000 21.13 138.6 0.580 239.0 138.6Shape 2 10000 15.31 104.5 0.420 248.7 100.4Shape 3 29000 0 0 0.000 0.0 0.0Shape 4 29000 0 0 0.000 0.0 0.0Yield Moment for Linked Shapes, in kip MyL 239.0Input Mshared values on “Properties” screens (shapes 1-4) of CUFSM to generate final stresses

PART 2Enter load factor results for front and back flanges from CUFSM Symbol ValueRESULTS FOR BACK FLANGE OF LINKED SHAPESCUFSM load factor, back flange, linked shapes LFbk 2.500Buckling moment, back flange, linked shapes, in kip MyL*LFbk Mcrebk 597.6Nominal strength,back flange, linked shapes, in kip Mnebk 236.1

IF(Mcre<0.56My), Mne=McreIF(Mcre>2.78My), Mne=Myotherwise Mne=(10/9)My[1-(10My/36Mcre)]

Safety factor for bending (aluminum) Ωb 1.65Allowable moment, back flange, linked shapes, in kip Mallowbk 143.07RESULTS FOR FRONT FLANGE OF LINKED SHAPESCUFSM load factor, front flange, linked shapes LFfr 2.704Buckling moment, front flange, linked shapes, in kip MyL*LFfr Mcrefr 646.32Nominal strength,front flange, linked shapes, in kip Mnefr 238.30Allowable moment, front flange, linked shapes, in kip Mallowfr 144.42

Procedure: 1. Enter data from CUFSM in PART 1.2. Use Mshared values as input for CUFSM.3. Enter load factors from CUFSM in PART 2.

Mnebk/Ωb

Mneft/Ωb

Page 10: Tips for Using CUFSM

Screen 9. Exact Solution Step 4. Male Shape Ixx=21.13, Mxx=138.6.

Screen 10. Exact Solution Step 4. Female Shape Ixx=15.31, Mxx=104.5.

Page 11: Tips for Using CUFSM

Screen 11. Exact Solution Steps 9 and 10. All shapes in model; gaps in internal tubes closed; extrusions constrained to move together front and back; steel bars constrained to move with extrusions; stresses are final values.

Screen 12. Exact Solution Step 12. Results for Back Flange in Compression; Load Factor = 2.406.

Page 12: Tips for Using CUFSM

Screen 13. Exact Solution Steps 13 and 14. Results for Front Flange in Compression; Load Factor = 2.587.

Page 13: Tips for Using CUFSM

Screen 14. Excel Worksheet for Exact Solution.

Project Name Exact solution exampleProject Number naAnalysis Description Two extrusions and two steel barsInitials CWK EDIT COLOR SHADEDDate 06/02/11 CELLS ONLY

EVALUATION OF ALLOWABLE BENDING MOMENT USING CUFSM AND AISIPART 1

Enter E, Ixx and yield moment Mxx for 1 to 4 shapes; zero entries must be lastE, ksi Ixx, in 4 Mxx, in kip %Mtotal Mtotal_trial Mshared

Shape 1 10000 21.13 138.6 0.492 281.8 138.6Shape 2 10000 15.31 104.5 0.356 293.3 100.4Shape 3 29000 1.125 27 0.076 355.6 21.4Shape 4 29000 1.125 27 0.076 355.6 21.4Yield Moment for Linked Shapes, in kip MyL 281.8Input Mshared values on “Properties” screens (shapes 1-4) of CUFSM to generate final stresses

PART 2Enter load factor results for front and back flanges from CUFSM Symbol ValueRESULTS FOR BACK FLANGE OF LINKED SHAPESCUFSM load factor, back flange, linked shapes LFbk 2.406Buckling moment, back flange, linked shapes, in kip MyL*LFbk Mcrebk 678.1Nominal strength,back flange, linked shapes, in kip Mnebk 277.0

IF(Mcre<0.56My), Mne=McreIF(Mcre>2.78My), Mne=Myotherwise Mne=(10/9)My[1-(10My/36Mcre)]

Safety factor for bending (aluminum) Ωb 1.65Allowable moment, back flange, linked shapes, in kip Mallowbk 167.87RESULTS FOR FRONT FLANGE OF LINKED SHAPESCUFSM load factor, front flange, linked shapes LFfr 2.587Buckling moment, front flange, linked shapes, in kip MyL*LFfr Mcrefr 729.08Nominal strength,front flange, linked shapes, in kip Mnefr 279.52Allowable moment, front flange, linked shapes, in kip Mallowfr 169.40

Procedure: 1. Enter data from CUFSM in PART 1.2. Use Mshared values as input for CUFSM.3. Enter load factors from CUFSM in PART 2.

Mnebk/Ωb

Mneft/Ωb

Page 14: Tips for Using CUFSM

Input Data File Sheet1

Page 1

male extrusion nodes—arbitrary stressstress

1 1.25 0.38 1 1 1 1 12 -0.13 0.38 1 1 1 1 13 -0.13 0 1 1 1 1 14 -2 0 1 1 1 1 15 -2 1.75 1 1 1 1 16 -2 3.5 1 1 1 1 17 -2 5.25 1 1 1 1 18 -2 7 1 1 1 1 19 -0.13 7 1 1 1 1 1

10 -0.13 6.75 1 1 1 1 111 1.25 6.75 1 1 1 1 112 -0.25 1.75 1 1 1 1 113 -0.25 3.4 1 1 1 1 114 -0.25 3.6 1 1 1 1 115 -0.25 5.25 1 1 1 1 1

female extrusion nodes—arbitrary stressstress

16 0.13 0 1 1 1 1 117 2 0 1 1 1 1 118 2 1.75 1 1 1 1 119 2 3.5 1 1 1 1 120 2 5.25 1 1 1 1 121 2 7 1 1 1 1 122 0.13 7 1 1 1 1 123 0.25 1.75 1 1 1 1 124 0.25 3.4 1 1 1 1 125 0.25 3.6 1 1 1 1 126 0.25 5.25 1 1 1 1 1

steel reinforcing nodes—arbitrary stressstress

27 -1.5 2 1 1 1 1 128 -1.5 3.5 1 1 1 1 129 -1.5 5 1 1 1 1 130 1.5 2 1 1 1 1 131 1.5 3.5 1 1 1 1 132 1.5 5 1 1 1 1 1

Page 15: Tips for Using CUFSM

Input Data File Sheet1

Page 2

male extrusion elementsmaterial

1 1 2 0.25 12 2 3 0.125 13 3 4 0.25 14 4 5 0.125 15 5 6 0.125 16 6 7 0.125 17 7 8 0.125 18 8 9 0.1875 19 9 10 0.125 1

10 10 11 0.125 111 7 15 0.125 112 15 14 0.125 113 13 12 0.125 114 5 12 0.125 1

female extrusion elementsmaterial

15 16 17 0.25 116 17 18 0.125 117 18 19 0.125 118 19 20 0.125 119 20 21 0.125 120 21 22 0.1875 121 18 23 0.125 122 23 24 0.125 123 25 26 0.125 124 26 20 0.125 125 13 24 0.01 1 fictitious connecting element

steel reinforcing elementsmaterial

26 27 28 0.5 227 28 29 0.5 228 30 31 0.5 229 31 32 0.5 2

Page 16: Tips for Using CUFSM

Input Data File Sheet1

Page 3

male extrusion nodes—final stressstress

1 1.25 0.38 1 1 1 1 -18.432 -0.13 0.38 1 1 1 1 -18.433 -0.13 0 1 1 1 1 -20.924 -2 0 1 1 1 1 -20.925 -2 1.75 1 1 1 1 -9.446 -2 3.5 1 1 1 1 2.047 -2 5.25 1 1 1 1 13.528 -2 7 1 1 1 1 259 -0.13 7 1 1 1 1 25

10 -0.13 6.75 1 1 1 1 23.3611 1.25 6.75 1 1 1 1 23.3612 -0.25 1.75 1 1 1 1 -9.4413 -0.25 3.4 1 1 1 1 1.3814 -0.25 3.6 1 1 1 1 2.715 -0.25 5.25 1 1 1 1 13.52

female extrusion nodes--final stress (not original node numbers)stress

1 0.13 0 1 1 1 1 -21.892 2 0 1 1 1 1 -21.893 2 1.75 1 1 1 1 -10.424 2 3.5 1 1 1 1 1.055 2 5.25 1 1 1 1 12.536 2 7 1 1 1 1 247 0.13 7 1 1 1 1 248 0.25 1.75 1 1 1 1 -10.429 0.25 3.4 1 1 1 1 0.4

10 0.25 3.6 1 1 1 1 1.7111 0.25 5.25 1 1 1 1 12.53

Page 17: Tips for Using CUFSM

Input Data File Sheet1

Page 4

male extrusion nodes—final stress (original node numbers)stress

1 1.25 0.38 1 1 1 1 -18.432 -0.13 0.38 1 1 1 1 -18.433 -0.13 0 1 1 1 1 -20.924 -2 0 1 1 1 1 -20.925 -2 1.75 1 1 1 1 -9.446 -2 3.5 1 1 1 1 2.047 -2 5.25 1 1 1 1 13.528 -2 7 1 1 1 1 259 -0.13 7 1 1 1 1 25

10 -0.13 6.75 1 1 1 1 23.3611 1.25 6.75 1 1 1 1 23.3612 -0.25 1.75 1 1 1 1 -9.4413 -0.25 3.4 1 1 1 1 1.3814 -0.25 3.6 1 1 1 1 2.715 -0.25 5.25 1 1 1 1 13.52

female extrusion nodes—final stress (original node numbers)stress

16 0.13 0 1 1 1 1 -21.8917 2 0 1 1 1 1 -21.8918 2 1.75 1 1 1 1 -10.4219 2 3.5 1 1 1 1 1.0520 2 5.25 1 1 1 1 12.5321 2 7 1 1 1 1 2422 0.13 7 1 1 1 1 2423 0.25 1.75 1 1 1 1 -10.4224 0.25 3.4 1 1 1 1 0.425 0.25 3.6 1 1 1 1 1.7126 0.25 5.25 1 1 1 1 12.53

steel reinforcing final stress—computed manuallystress

27 -1.5 2 1 1 1 1 -28.528 -1.5 3.5 1 1 1 1 029 -1.5 5 1 1 1 1 28.530 1.5 2 1 1 1 1 -28.531 1.5 3.5 1 1 1 1 032 1.5 5 1 1 1 1 28.5