SLIDING CLIP PURLIN/SHEETING CONNECTION

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1 University of Technology and Economics EXPERIMENTAL AND NUMERICAL ANALYSIS OF COLD-FORMED Z-PURLINS SLIDING CLIP PURLIN/SHEETING CONNECTION MANSOUR KACHICHIAN Supervisor: DR. LÁSZLÓ DUNAI

2 University of Technology and Economics Contents of PhD dissertation 1. Experimental study of purlin/sheeting interaction 2. Effect of sliding clips on purlin/sheeting interaction 3. Full scale load test of purlin/sheeting system 4. Ultimate load test on sheeting 5. Numerical analysis of purlin/sheeting connections

3 University of Technology and Economics Introduction 1. Structural arrangement and problem statement 2. Purpose of the research 3. Research strategy 4. Experimental program 5. Experimental results 6. Evaluation of results 7. Conclusions

4 University of Technology and Economics Components sliding clip and connection Panel 1 Panel 2 Clip panel geometry material aluminum Z-purlin

5 University of Technology and Economics Bridge system Bridge foot Bridge clip Bridge system Bridge bar

6 University of Technology and Economics Folding phases of connection

7 University of Technology and Economics

8 University of Technology and Economics Problem statement and aims thermal expansion or shrinkage concentrated stresses at connections sliding elements Sliding elements and bridge system Purlin lateral support lateral support + sliding action of elements have significant effect on the behaviour of the system. Define the characteristics of system behaviour. Determine the characteristics of the used elements and their effect on the lateral stiffness of the system.

9 University of Technology and Economics Purpose of the experiments determine the lateral stiffness of the system determine the effect of Z-purlin height determine the effect of bridge system determine the effect of gravity loads determine the effect of lateral load direction

10 University of Technology and Economics Research strategy building the test specimens with the supporting, the loading, displacement and measuring systems F U relationships Lateral stiffnesses Effect of system parameters

11 University of Technology and Economics Experimental program Test specimens Test arrangement Loading and measuring system Test procedure

12 University of Technology and Economics Test specimen

13 1000 mm 500 mm University of Technology and Economics Test arrangement 600 mm 600 mm 600 mm 600 mm 2400 mm

14 University of Technology and Economics Loading and measuring systems F V F T U T F T U T F B U B MR24 panel Liner panel U S U S

15 University of Technology and Economics Loading and measuring systems

16 University of Technology and Economics Applied loads Mechanically generated lateral load acting at three load points on the top of the upper flange. Mechanically generated lateral load acting at three load points at the lower flange level. Vertical load with adjustable intensity acting as distributed load at the top of the upper flange to simulate the gravity loads.

17 University of Technology and Economics Specimen groups Group 1 Group 2 Group 3

18 University of Technology and Economics Specimen components of specimens specimen code sheeting panels sliding clip heat insulation bridge system purlin t=1.5 [mm] group 1 group 2 group 3 MR24#1B MR24 used used Z 250 MR24#1A MR24 used used Z 200 MR24#2B MR24 used used used Z 250 MR24#2A MR24 used used used Z 200 MR24#3B liner Z 250 MR24#3A liner Z 200

19 University of Technology and Economics Specimen components of specimens specimen code sheeting panels sliding clip heat insulation bridge system purlin t=1.5 [mm] group 1 group 2 group 3 MR24#1B MR24 used used Z 250 MR24#1A MR24 used used Z specimens MR24#2B MR24 used used used Z 250 min. 4 MR24#2A MR24 used used used Z 200 MR24#3B liner Z 250 MR24#3A liner Z 200

20 University of Technology and Economics Testing procedure lateral loads are applied mechanically. force magnitude is measured by load cell. lateral and vertical deformations are measured by inductive transducers F T F B U T U B F B +F V U B

21 F T [N] F B [N] University of Technology and Economics Experimental results U T [mm] U B [mm] Group 1

22 F B [N] F B [N] University of Technology and Economics Experimental results U B [mm] U B [mm] Group 1

23 F T [N] F B [N] University of Technology and Economics Experimental results U B [mm] U T [mm] Group 2 Group 3

24 University of Technology and Economics Deformation components D sh MR24 sheeting deformation D cl clip deformation D br bridge deformation D pu purlin deformation In the tests the effects of D sh and D cl are not significant. F T UT F T U T U B U B D pu D br U S U S

25 University of Technology and Economics Deformations and sliding types F F F U U U S in initial slip after the load introduction. S sm smooth slip after the first slip happened. S cs continuous stick slip after the first slip happened.

26 F B [N] F B [N] F B [N] University of Technology and Economics Deformations and sliding types U B [mm] U T [mm] U B [mm] S in initial slip after the load introduction. S sm smooth slip after the first slip happened. S cs continuous stick slip after the first slip happened.

27 F T [N] University of Technology and Economics Analysis of experimental results F T -U T F B -U B 1 K F K K due to the nature of the F U relationships, two models are developed to calculate the lateral stiffness values FB (N) U T [mm] UB (mm)

28 F T [N] University of Technology and Economics Model #1 displacements without sliding K 1 =(F 1 /L)/U 1 K 4 =(F 4 /L)/U 4 K 1(-) =(F 3 -F 2 )/L)/(U 3 -U 2 ) K 3 =(F 5 -F 4 )/L)/(U 5 -U 4 ) U 3 F 5 F 4 F 1 U 2 2 F 0 F U T [mm] U 4 U 5 U 1 U 3 F 3 characteristics of Model #1

29 University of Technology and Economics Model #1 lateral stiffness average stiffness of the tested specimens K specimen purlin K 1(-) 100 [N/mm 2 ] [N/mm 2 ] MR24#1A Z MR24#1B Z MR24#2A Z MR24#2B Z K [N/mm 2 ] MR24#3A Z MR24#3B Z

30 F B [N] University of Technology and Economics Model # K 1 average elastic lateral stiffness of the system K 2 friction/sliding stiffness of the system including nonlinear behaviours and sliding effects F f average initialling friction/sliding load at which sliding behaviours occurs U B [mm] F K 2 F f K 1 K 1 U characteristics of Model #2

31 University of Technology and Economics Parameters of Model #2 K 1 =(k 11 + k 12 +k 13 )/3 F max F K 11 =(F min /L)/U min K 12 =(F 3 -F 4 )/L)/(U 3 -U 4 ) F 1, U 1 F T1 U T12 U T34 U F min F T3 F 3, U 3 K 13 =(F 1 -F 2 )/L)/(U 1 -U 2 ) U min U max F 2, U 2 F 4, U 4 F T2 F T4 K 2 =(F max -F min )/L)/(U max -U min ) Model # 2 parameters F f =((F T1 -F T2 )+(F T3 -F T4 ))/4

32 University of Technology and Economics Model #2 initial stiffness K [N/mm 2 ] upper flange condition F V [N] Z 200 Z 200 Z 250 Z

33 University of Technology and Economics Model #2 friction sliding stiffness K [N/mm 2 ] upper flange condition F V [N] Z 200 Z 200 Z 250 Z

34 University of Technology and Economics Model #2 friction sliding force 2F f [N] upper flange condition F V [N] Z 200 Z 200 Z 250 Z

35 University of Technology and Economics Evaluation of results lateral load at top flange lateral load at bottom flange

36 University of Technology and Economics Lateral load at top flange purlin height effect on specimen stiffness: Z-250/ Z % bridge system effect on specimen stiffness: with bridge/without bridge % direction of load effect on specimen stiffness: Positive/negative load %

37 University of Technology and Economics Lateral load at bottom flange the effect of high bridge system is significant on the lateral stiffness K % K % F f % gravity load has significant effect as well % purlin height and restrain of the purlin upper flange have smaller effect compared to the previous two parameters %

38 University of Technology and Economics Conclusions 1. I designed a test procedure to test cladding systems with sliding and bridge elements; I completed tests on 182 specimens. 2. I analyzed the test results on the basis of F-U relationships for specimens and determined the typical behaviour modes. 3. On the basis of the test results I developed two models to characterize the observed behaviour. 4. The models are used for stability design of purlins: (i) lateral stiffness values are built in the design method of purlins. (ii) the insufficient structural arrangements are determined.

39 University of Technology and Economics Thank you

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