introduction. mathematical foundations: scalars,...
TRANSCRIPT
ELASTICITY AND PLASTICITY (EP)Introduction.
Mathematical foundations: scalars, vectors, tensors.
Prof. Mieczysław Kuczma
Institute of Structural Engineering, PUT
Structural Engineering - second cycle
Prof. Mieczysław Kuczma ELASTICITY AND PLASTICITY (EP)
Organizational issues
Contact:
Email: [email protected]
Webpage:http://etacar.put.poznan.pl/mieczyslaw.kuczma
Group representative: ???
Office hours (consultations):
Mon. 14:15-15:00 & Thursday 15:00-15:45 room 304BL
Final Evaluation :
Test on June 26 (Monday) 9:00-12:00 h(CW1,123BL,122BL,121BL); resit in September.
Participation in lectures: increase of the mark by 1 undercondition of max. 1 absence
Diploma thesis: Elasticity and Plasticity, Concrete Structures,(Topic of MSc thesis may be agreed).
Prof. Mieczysław Kuczma ELASTICITY AND PLASTICITY (EP)
Organizational issues
Contact:
Email: [email protected]
Webpage:http://etacar.put.poznan.pl/mieczyslaw.kuczma
Group representative: ???
Office hours (consultations):
Mon. 14:15-15:00 & Thursday 15:00-15:45 room 304BL
Final Evaluation :
Test on June 26 (Monday) 9:00-12:00 h(CW1,123BL,122BL,121BL); resit in September.
Participation in lectures: increase of the mark by 1 undercondition of max. 1 absence
Diploma thesis: Elasticity and Plasticity, Concrete Structures,(Topic of MSc thesis may be agreed).
Prof. Mieczysław Kuczma ELASTICITY AND PLASTICITY (EP)
Organizational issues
Contact:
Email: [email protected]
Webpage:http://etacar.put.poznan.pl/mieczyslaw.kuczma
Group representative: ???
Office hours (consultations):
Mon. 14:15-15:00 & Thursday 15:00-15:45 room 304BL
Final Evaluation :
Test on June 26 (Monday) 9:00-12:00 h(CW1,123BL,122BL,121BL); resit in September.
Participation in lectures: increase of the mark by 1 undercondition of max. 1 absence
Diploma thesis: Elasticity and Plasticity, Concrete Structures,(Topic of MSc thesis may be agreed).
Prof. Mieczysław Kuczma ELASTICITY AND PLASTICITY (EP)
Organizational issues
Contact:
Email: [email protected]
Webpage:http://etacar.put.poznan.pl/mieczyslaw.kuczma
Group representative: ???
Office hours (consultations):
Mon. 14:15-15:00 & Thursday 15:00-15:45 room 304BL
Final Evaluation :
Test on June 26 (Monday) 9:00-12:00 h(CW1,123BL,122BL,121BL); resit in September.
Participation in lectures: increase of the mark by 1 undercondition of max. 1 absence
Diploma thesis: Elasticity and Plasticity, Concrete Structures,(Topic of MSc thesis may be agreed).
Prof. Mieczysław Kuczma ELASTICITY AND PLASTICITY (EP)
Organizational issues
Contact:
Email: [email protected]
Webpage:http://etacar.put.poznan.pl/mieczyslaw.kuczma
Group representative: ???
Office hours (consultations):
Mon. 14:15-15:00 & Thursday 15:00-15:45 room 304BL
Final Evaluation :
Test on June 26 (Monday) 9:00-12:00 h(CW1,123BL,122BL,121BL); resit in September.
Participation in lectures: increase of the mark by 1 undercondition of max. 1 absence
Diploma thesis: Elasticity and Plasticity, Concrete Structures,(Topic of MSc thesis may be agreed).
Prof. Mieczysław Kuczma ELASTICITY AND PLASTICITY (EP)
Organizational issues
Contact:
Email: [email protected]
Webpage:http://etacar.put.poznan.pl/mieczyslaw.kuczma
Group representative: ???
Office hours (consultations):
Mon. 14:15-15:00 & Thursday 15:00-15:45 room 304BL
Final Evaluation :
Test on June 26 (Monday) 9:00-12:00 h(CW1,123BL,122BL,121BL); resit in September.
Participation in lectures: increase of the mark by 1 undercondition of max. 1 absence
Diploma thesis: Elasticity and Plasticity, Concrete Structures,(Topic of MSc thesis may be agreed).
Prof. Mieczysław Kuczma ELASTICITY AND PLASTICITY (EP)
Organizational issues
Contact:
Email: [email protected]
Webpage:http://etacar.put.poznan.pl/mieczyslaw.kuczma
Group representative: ???
Office hours (consultations):
Mon. 14:15-15:00 & Thursday 15:00-15:45 room 304BL
Final Evaluation :
Test on June 26 (Monday) 9:00-12:00 h(CW1,123BL,122BL,121BL); resit in September.
Participation in lectures: increase of the mark by 1 undercondition of max. 1 absence
Diploma thesis: Elasticity and Plasticity, Concrete Structures,(Topic of MSc thesis may be agreed).
Prof. Mieczysław Kuczma ELASTICITY AND PLASTICITY (EP)
Organizational issues
Contact:
Email: [email protected]
Webpage:http://etacar.put.poznan.pl/mieczyslaw.kuczma
Group representative: ???
Office hours (consultations):
Mon. 14:15-15:00 & Thursday 15:00-15:45 room 304BL
Final Evaluation :
Test on June 26 (Monday) 9:00-12:00 h(CW1,123BL,122BL,121BL); resit in September.
Participation in lectures: increase of the mark by 1 undercondition of max. 1 absence
Diploma thesis: Elasticity and Plasticity, Concrete Structures,(Topic of MSc thesis may be agreed).
Prof. Mieczysław Kuczma ELASTICITY AND PLASTICITY (EP)
Organizational issues
Contact:
Email: [email protected]
Webpage:http://etacar.put.poznan.pl/mieczyslaw.kuczma
Group representative: ???
Office hours (consultations):
Mon. 14:15-15:00 & Thursday 15:00-15:45 room 304BL
Final Evaluation :
Test on June 26 (Monday) 9:00-12:00 h(CW1,123BL,122BL,121BL); resit in September.
Participation in lectures: increase of the mark by 1 undercondition of max. 1 absence
Diploma thesis: Elasticity and Plasticity, Concrete Structures,(Topic of MSc thesis may be agreed).
Prof. Mieczysław Kuczma ELASTICITY AND PLASTICITY (EP)
Organizational issues
Contact:
Email: [email protected]
Webpage:http://etacar.put.poznan.pl/mieczyslaw.kuczma
Group representative: ???
Office hours (consultations):
Mon. 14:15-15:00 & Thursday 15:00-15:45 room 304BL
Final Evaluation :
Test on June 26 (Monday) 9:00-12:00 h(CW1,123BL,122BL,121BL); resit in September.
Participation in lectures: increase of the mark by 1 undercondition of max. 1 absence
Diploma thesis: Elasticity and Plasticity, Concrete Structures,(Topic of MSc thesis may be agreed).
Prof. Mieczysław Kuczma ELASTICITY AND PLASTICITY (EP)
Organizational issues
Contact:
Email: [email protected]
Webpage:http://etacar.put.poznan.pl/mieczyslaw.kuczma
Group representative: ???
Office hours (consultations):
Mon. 14:15-15:00 & Thursday 15:00-15:45 room 304BL
Final Evaluation :
Test on June 26 (Monday) 9:00-12:00 h(CW1,123BL,122BL,121BL); resit in September.
Participation in lectures: increase of the mark by 1 undercondition of max. 1 absence
Diploma thesis: Elasticity and Plasticity, Concrete Structures,(Topic of MSc thesis may be agreed).
Prof. Mieczysław Kuczma ELASTICITY AND PLASTICITY (EP)
Literature
Fung Y. C.: Foundations of solid mechanics, Prentice Hall1965.
Mase G. E.: Theory and problems of continuum mechanics,1970.
Skrzypek J., Hetnarski R.B.: Plasticity and Creep. Theory,Examples, and Problems, CRC, 1993.
Ragab A.-R., Bayoumi S.E.: Engineering Solid Mechanics.Fundamentals and Applications, CRC, Boca Raton 1999.
Itskov M.: Tensor Algebra and Tensor Analysis for Engineers.With Applications to Continuum Mechanics, Springer 2013.
Stein E., Barthold F.-J.: Elastizitatstheorie, Hannover 2004www.bauwesen.tu-dortmund.de/nmi/Medienpool/Skripte/eth-ges.pdf
.... any book on elasticity and plasticity.
Prof. Mieczysław Kuczma ELASTICITY AND PLASTICITY (EP)
Literature
Fung Y. C.: Foundations of solid mechanics, Prentice Hall1965.
Mase G. E.: Theory and problems of continuum mechanics,1970.
Skrzypek J., Hetnarski R.B.: Plasticity and Creep. Theory,Examples, and Problems, CRC, 1993.
Ragab A.-R., Bayoumi S.E.: Engineering Solid Mechanics.Fundamentals and Applications, CRC, Boca Raton 1999.
Itskov M.: Tensor Algebra and Tensor Analysis for Engineers.With Applications to Continuum Mechanics, Springer 2013.
Stein E., Barthold F.-J.: Elastizitatstheorie, Hannover 2004www.bauwesen.tu-dortmund.de/nmi/Medienpool/Skripte/eth-ges.pdf
.... any book on elasticity and plasticity.
Prof. Mieczysław Kuczma ELASTICITY AND PLASTICITY (EP)
Literature
Fung Y. C.: Foundations of solid mechanics, Prentice Hall1965.
Mase G. E.: Theory and problems of continuum mechanics,1970.
Skrzypek J., Hetnarski R.B.: Plasticity and Creep. Theory,Examples, and Problems, CRC, 1993.
Ragab A.-R., Bayoumi S.E.: Engineering Solid Mechanics.Fundamentals and Applications, CRC, Boca Raton 1999.
Itskov M.: Tensor Algebra and Tensor Analysis for Engineers.With Applications to Continuum Mechanics, Springer 2013.
Stein E., Barthold F.-J.: Elastizitatstheorie, Hannover 2004www.bauwesen.tu-dortmund.de/nmi/Medienpool/Skripte/eth-ges.pdf
.... any book on elasticity and plasticity.
Prof. Mieczysław Kuczma ELASTICITY AND PLASTICITY (EP)
Literature
Fung Y. C.: Foundations of solid mechanics, Prentice Hall1965.
Mase G. E.: Theory and problems of continuum mechanics,1970.
Skrzypek J., Hetnarski R.B.: Plasticity and Creep. Theory,Examples, and Problems, CRC, 1993.
Ragab A.-R., Bayoumi S.E.: Engineering Solid Mechanics.Fundamentals and Applications, CRC, Boca Raton 1999.
Itskov M.: Tensor Algebra and Tensor Analysis for Engineers.With Applications to Continuum Mechanics, Springer 2013.
Stein E., Barthold F.-J.: Elastizitatstheorie, Hannover 2004www.bauwesen.tu-dortmund.de/nmi/Medienpool/Skripte/eth-ges.pdf
.... any book on elasticity and plasticity.
Prof. Mieczysław Kuczma ELASTICITY AND PLASTICITY (EP)
Literature
Fung Y. C.: Foundations of solid mechanics, Prentice Hall1965.
Mase G. E.: Theory and problems of continuum mechanics,1970.
Skrzypek J., Hetnarski R.B.: Plasticity and Creep. Theory,Examples, and Problems, CRC, 1993.
Ragab A.-R., Bayoumi S.E.: Engineering Solid Mechanics.Fundamentals and Applications, CRC, Boca Raton 1999.
Itskov M.: Tensor Algebra and Tensor Analysis for Engineers.With Applications to Continuum Mechanics, Springer 2013.
Stein E., Barthold F.-J.: Elastizitatstheorie, Hannover 2004www.bauwesen.tu-dortmund.de/nmi/Medienpool/Skripte/eth-ges.pdf
.... any book on elasticity and plasticity.
Prof. Mieczysław Kuczma ELASTICITY AND PLASTICITY (EP)
Literature
Fung Y. C.: Foundations of solid mechanics, Prentice Hall1965.
Mase G. E.: Theory and problems of continuum mechanics,1970.
Skrzypek J., Hetnarski R.B.: Plasticity and Creep. Theory,Examples, and Problems, CRC, 1993.
Ragab A.-R., Bayoumi S.E.: Engineering Solid Mechanics.Fundamentals and Applications, CRC, Boca Raton 1999.
Itskov M.: Tensor Algebra and Tensor Analysis for Engineers.With Applications to Continuum Mechanics, Springer 2013.
Stein E., Barthold F.-J.: Elastizitatstheorie, Hannover 2004www.bauwesen.tu-dortmund.de/nmi/Medienpool/Skripte/eth-ges.pdf
.... any book on elasticity and plasticity.
Prof. Mieczysław Kuczma ELASTICITY AND PLASTICITY (EP)
Literature
Fung Y. C.: Foundations of solid mechanics, Prentice Hall1965.
Mase G. E.: Theory and problems of continuum mechanics,1970.
Skrzypek J., Hetnarski R.B.: Plasticity and Creep. Theory,Examples, and Problems, CRC, 1993.
Ragab A.-R., Bayoumi S.E.: Engineering Solid Mechanics.Fundamentals and Applications, CRC, Boca Raton 1999.
Itskov M.: Tensor Algebra and Tensor Analysis for Engineers.With Applications to Continuum Mechanics, Springer 2013.
Stein E., Barthold F.-J.: Elastizitatstheorie, Hannover 2004www.bauwesen.tu-dortmund.de/nmi/Medienpool/Skripte/eth-ges.pdf
.... any book on elasticity and plasticity.
Prof. Mieczysław Kuczma ELASTICITY AND PLASTICITY (EP)
Elasticity, Plasticity, Rheology
Theory of Elasticity
Part of continuum mechanics. It is concerned with movements anddeformations of elastic bodies, i.e. such ones that after removal ofexternal loadings (actions) the bodies return to their originalshape. Elastic deformations are reversible. FILM
Theory of Plasticity
Generalization of ToE. It is concerned with the states of a materialabove yield point (plastic stress), where after unloading somepermanent deformations remain which are called plasticdeformations. Application of ToP allows one to make use ofreserves of strength in structures. FILM
Rheology
Genearlization of both ToE & ToP. It takes into account theinfluence of time - creep, relaxation of stress, rates ofdeformations. Visco-elasticity.
Prof. Mieczysław Kuczma ELASTICITY AND PLASTICITY (EP)
Elasticity, Plasticity, Rheology
Theory of Elasticity
Part of continuum mechanics. It is concerned with movements anddeformations of elastic bodies, i.e. such ones that after removal ofexternal loadings (actions) the bodies return to their originalshape. Elastic deformations are reversible. FILM
Theory of Plasticity
Generalization of ToE. It is concerned with the states of a materialabove yield point (plastic stress), where after unloading somepermanent deformations remain which are called plasticdeformations. Application of ToP allows one to make use ofreserves of strength in structures. FILM
Rheology
Genearlization of both ToE & ToP. It takes into account theinfluence of time - creep, relaxation of stress, rates ofdeformations. Visco-elasticity.
Prof. Mieczysław Kuczma ELASTICITY AND PLASTICITY (EP)
Elasticity, Plasticity, Rheology
Theory of Elasticity
Part of continuum mechanics. It is concerned with movements anddeformations of elastic bodies, i.e. such ones that after removal ofexternal loadings (actions) the bodies return to their originalshape. Elastic deformations are reversible. FILM
Theory of Plasticity
Generalization of ToE. It is concerned with the states of a materialabove yield point (plastic stress), where after unloading somepermanent deformations remain which are called plasticdeformations. Application of ToP allows one to make use ofreserves of strength in structures. FILM
Rheology
Genearlization of both ToE & ToP. It takes into account theinfluence of time - creep, relaxation of stress, rates ofdeformations. Visco-elasticity.
Prof. Mieczysław Kuczma ELASTICITY AND PLASTICITY (EP)
Elasticity, Plasticity, Rheology
Theory of Elasticity
Part of continuum mechanics. It is concerned with movements anddeformations of elastic bodies, i.e. such ones that after removal ofexternal loadings (actions) the bodies return to their originalshape. Elastic deformations are reversible. FILM
Theory of Plasticity
Generalization of ToE. It is concerned with the states of a materialabove yield point (plastic stress), where after unloading somepermanent deformations remain which are called plasticdeformations. Application of ToP allows one to make use ofreserves of strength in structures. FILM
Rheology
Genearlization of both ToE & ToP. It takes into account theinfluence of time - creep, relaxation of stress, rates ofdeformations. Visco-elasticity.
Prof. Mieczysław Kuczma ELASTICITY AND PLASTICITY (EP)
3
Motivation • Composite beam:
a structural member composed of two or more different materials joined together to act as a unit.
• Application areas: - bridge engineering - composite floor systems in buildings
• Critical role of the interface between steel and concrete in steel-concrete composite beams; connection by steel shear studs, structural adhesives
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Bridge over the Warta River at Gorzów Wlkp.
Gärtnerplatzbrücke over the Fulda River in Kassel
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Composite T-beam and its cross-section
1 - steel girder 2 - concrete plate (slab) 3 - connection layer (interface bond)
Formulation of the problem
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Experimental investigations using: - Instron 8804 - testing machine (two frames and two actuators ±500 kN) - Aramis & Pontos (touchless measurements) - Traveller & sensors, tensometers (wire gauges)
• Tested beams
pcp = prefabricated concrete plate
B1 – pcp rests freely on steel girder via cilindrical rollers with diameter of 5 mm B2 – pcp bonded with steel girder by flexible adhesive SikaTack-Panel, gadh = 6±2 mm B3 – pcp bonded with steel girder by stiff adhesive Sikadur®-30 Normal, gadh = 3 mm B4 – as beam B3, but gadh = 5 mm B5 – monolithic concrete plate joint with steel girder by steel shear studs 1/2″ (13 mm), length 50 mm on cicrle foot bonded by Sikadur®-30 Normal B6 – monolithic concrete plate joint with steel girder by steel shear studs 1/2″ (13 mm), length 50 mm
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