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This document discusses calculating collapse load based on moment redistribution. It covers moment redistribution allowed by different codes like the British CP 110-1972 code and Russian code. It also discusses factors affecting moment redistribution like plastic hinge rotation and length. The document proposes developing a MATLAB program to analyze moment redistribution for cases like fixed beams under two point and uniform loads, as well as continuous beams under mid-span point loads. Development of M-φ curves and diagrams are covered.
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Influence lines for determinate structures are always straight lines. To construct an influence line, the effect of a unit load is observed as it is moved along the span, and the controlling ordinates are calculated and plotted.
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Aslam
- 3. CALCULATE COLLAPSE LOAD ON THE BASIS OF MOMENT REDISTRIBUTION
- 4. SCOPE
- 5. FIXED ENDED BEAM SUBJECTED TO TWO POINT LOADING. FIXED ENDED BEAM SUBJECTED TO UNIFORMLY DISTRIBUTED LOAD. TWO EQUALLY SPAN CONTINUOUS BEAM LOADED WITH A POINT LOAD AT MIDSPAN. .
- 6. MOMENt REDIStRIBUtION AS PER CODES BS CODE British code CP 110-1972 allows the peak elastic moments to be reduced by up to (0.6-c/d)100% but not more than 30%. RUSSIAN CODE Russian regulations apparently have allowed the intermediate spans of uniformly loaded continuous beams of equal span to be design for equal positive and negative moments and have allow 30% moment redistribution from the elastic bending moment diagram. ACI CODE ACI code allow support moments to be changed by up to 20% depending upon the ductility of section
- 7. ASSUMED M- φ CURvE
- 8. FACtORS AFFECtINg ON MOMENt REDIStRIBUtION Plastic hinge rotation Plastic hinge length
- 9. APPlICAtION OF MOMENt REDIStRIBUtION Redistribution of negative moments in continuous nonprestressed flexural members Redistribution of negative moments in continuous prestressed flexural members
- 10. MOMENt REDIStRIBUtION PROhIBItED slab systems designed by the Direct Design Method. The failure mechanism of FRP reinforced flexural members should not be based on the formation of plastic hinges.
- 11. ASSUMPtIONS
- 13. MAtlAB PROgRAM
- 14. DEvElOPMENt OF M-FIlE MAIN PROGRAM CALCULATE COLLAPSE LOAD SUB PROGRAM DRAW MOMENT CURVATURE DIAGRAM DRAW SHEAR FORCE AND BENDING MOMENT DIAGRAM
- 15. CASES tO BE CONSIDERED Fixed ended beam loaded with two point loading. Fixed ended beam loaded with a uniformly distributed load Two equally span continuous beam loaded with a point load at mid span
- 16. M – φ CURvE
- 17. FIxED ENDED BEAM lOADED wIth twO POINt lOADINg .
- 18. FIxED ENDED BEAM lOADED wIth UDl .
- 19. twO EqUAlly SPAN CONtINUOUS BEAM lOADED wIth A POINt lOAD At MID SPAN
- 22. thE END