ADANA BTÜ DERS KATALOG FORMU (COURSE CATALOGUE FORM) Dersin Adı Course Name Mukavemet II Mechanics of Materials II Kodu (Code) Yarıyılı (Semester) Kredisi (Local Credits) AKTS Kredisi (ECTS Credits) Ders Uygulaması, Saat/Hafta (Course Implementation, Hours/Week) Ders (Theoretical) Uygulama (Tutorial) Laboratuar (Laboratory) CE-202 4 4 7 3 2 0 Bolum/Program (Department/Program) İnşaat Mühendisliği Bölümü (Civil Engineering Department) Dersin Türü (Course Type) Zorunlu (Compulsory) Dersin Dili (Course Language) İngilizce (English) Dersin Önkoşulları (Course Prerequisites) Yok/None Dersin Mesleki Bileşene Katkısı, % (Course Category by Content, %) Temel Bilim (Basic Science) Temel Mühendislik (Engineering Science) Mühendislik Tasarım (Engineering Design) İnsan ve Toplum Bilim (General Education) %75 %25 Dersin İçeriği (Course Description) Kesmeli eğilme, kayma merkezi, elastik eğri, dış merkezli normal kuvvet, burulmalı eğilme, enerji yöntemleri, elastik stabilite. Bending with shear, shear center, elastic curve, eccentric normal load, bending with torsion, energy principles, elastic stability. Dersin Amacı (Course Objectives) 1. Bileşik mukavemet halleri ile boyutlandırmayı öğrenmek. 2. Elastik eğri yöntemleri ile çubuklarda yerdeğiştirme ve şekildeğiştirme kavramlarını öğrenmek. 3. Enerji yöntemlerini kavrayıp uygulama becerisini kazanmak. 4. Stabilite kavramını öğrenmek, çubuk sistemlere uygulama becerisini kazanmak. 1. Learn how to design beams and shafts in combined strength cases. 2. Learn how to calculate displacement and rotations in beams using elastic curve methods. 3. Will be able to gain application of energy methods. 4. Learn principle of stability and application to one dimensional elements.
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ADANA BTÜ DERS KATALOG FORMU
(COURSE CATALOGUE FORM)
Dersin Adı Course Name Mukavemet II Mechanics of Materials II
Kodu (Code)
Yarıyılı (Semester)
Kredisi (Local
Credits)
AKTS Kredisi (ECTS Credits)
Ders Uygulaması, Saat/Hafta (Course Implementation, Hours/Week)
İnşaat Mühendisliği Bölümü (Civil Engineering Department)
Dersin Türü (Course Type)
Zorunlu (Compulsory) Dersin Dili (Course Language)
İngilizce (English)
Dersin Önkoşulları (Course Prerequisites)
Yok/None
Dersin Mesleki Bileşene Katkısı, % (Course Category by Content, %)
Temel Bilim (Basic Science)
Temel Mühendislik (Engineering
Science)
Mühendislik Tasarım
(Engineering Design)
İnsan ve Toplum Bilim (General
Education)
%75 %25
Dersin İçeriği (Course Description)
Kesmeli eğilme, kayma merkezi, elastik eğri, dış merkezli normal kuvvet, burulmalı eğilme, enerji yöntemleri, elastik stabilite. Bending with shear, shear center, elastic curve, eccentric normal load, bending with torsion, energy principles, elastic stability.
Dersin Amacı (Course Objectives)
1. Bileşik mukavemet halleri ile boyutlandırmayı öğrenmek. 2. Elastik eğri yöntemleri ile çubuklarda yerdeğiştirme ve şekildeğiştirme
kavramlarını öğrenmek. 3. Enerji yöntemlerini kavrayıp uygulama becerisini kazanmak. 4. Stabilite kavramını öğrenmek, çubuk sistemlere uygulama becerisini
kazanmak.
1. Learn how to design beams and shafts in combined strength cases. 2. Learn how to calculate displacement and rotations in beams using elastic
curve methods. 3. Will be able to gain application of energy methods. 4. Learn principle of stability and application to one dimensional elements.
Bu dersi başarıyla geçen öğrenciler: 1. Kesmeli eğilme 2. Burulmalı eğilme 3. Dış merkezli normal kuvvet 4. Elastik eğri 5. Enerji yöntemleri 6. Elastik stabilite Student, who passed the course satisfactorily can: 1. Bending with shear 2. Bending with torsion 3. Eccentric normal load 4. Elastic Curve 5. Energy Principles 6. Elastic Stability
Ders Kitabı (Textbook)
Hibbeler, R.C., Mechanics of Materials 8th SI Edition, Pearson, ISBN 978-981-06-8509-6.
Diğer Kaynaklar (Other References)
1. Beer, F.P., Johnston, E.R., 2014, Mechanics of Materials, 7th Edition, McGraw-Hill, ISBN 978-007-33-9823-5.
The shaft shown above, is supported by bearings at A and B that exert force components only in the x and z directions on the shaft. If the allowable normal stress for the shaft is σ� �� � 100�MPa, determine to the nearest multiples of 5 [mm] the smallest diameter of the shaft that will support the loading. Take τ� �� � 42�MPa.
MECHANICS OF MATERIALS - II
RECITATION 6
1-)
Determine the maximum slope and maximum deflection of the simply supported beam which
is subjected to the couple moment M- by using integration method. EI is constant.
2-)
Determine the equations of the elastic curve for the beam using the x/ and x+ coordinates.
Specify the slope at A and the maximum displacement of the shaft by using the method of
integration. EI is constant.
MECHANICS OF MATERIALS - II
RECITATION 7
1-)
Determine the maximum deflection of the simply supported beam shown above by using
Determine the equation of the elastic curve of the simply supported beam, shown above and
find the maximum deflection by using discontinuity functions. The beam is made of wood
having a modulus of elasticity E=10 [GPa].
MECHANICS OF MATERIALS - II
RECITATION 8
1-)
Determine the deflection at C of the overhang beam by using the moment area method.
E = 200 [GPa] and I � 45.510*��mm,.
2-)
Determine the slope at C and deflection at B by using the moment area method. EI is constant.
MECHANICS OF MATERIALS - II
RECITATION 9
1-)
Determine the reactions at the supports A and B by using the method of integration, then draw
the moment diagram. EI is constant.
2-)
Determine the reactions at pin support A and roller supports B and C by using the method of
integration. EI is constant.
MECHANICS OF MATERIALS - II
RECITATION 10
1-)
Determine the reactions at the supports A and B by using the moment area method, then draw
the moment diagram. EI is constant.
2-)
Determine the reactions at the supports A and B by using the moment area method, then draw
the shear and moment diagrams. EI is constant.
MECHANICS OF MATERIALS - II
RECITATION 11
1-)
The A-36 steel column, shown above, can be considered pinned at its top and bottom and braced
against its weak axis at the mid-height. Determine the maximum allowable force P that the
column can support without buckling. Apply a F.S=2 against buckling. Take
A=7.4101���m+, I2 � 87.3101*��m, and I� � 18.8101*��m,.
2-)
Determine if the frame can support a load of w = 6 [kN/m] if the factor of safety with respect
to buckling of member AB is 3. Assume that AB is made of steel and is pinned at its ends for
x-x axis buckling and fixed at B and pinned at A for y-y axis buckling. E�� � 200�GPa,
σ� � 360�MPa.
MECHANICS OF MATERIALS - II
RECITATION 12
1-)
Determine the bending strain energy in the A-36 steel beam due to the distributed load.
I = 122. 10*�mm,, E�� � 200�GPa.
2-)
Determine the torsional strain energy in the A-36 steel shaft, shown above. The shaft has a
radius of 40 [mm]. G�� � 75�GPa.
MECHANICS OF MATERIALS - II
RECITATION 13
1-)
The A-36 steel bars are pin connected at B. If each has a square cross-section, determine the vertical displacement at B by using the conservation of energy. E�� � 200�GPa.
2-)
Determine the vertical displacement of end B of the frame by using the conservation of energy. Consider only bending strain energy. The frame is made using two A-36 steel W460x68 wide flange sections. I212 � 297. 10*�mm,, E�� � 200�GPa.
MECHANICS OF MATERIALS - II
RECITATION 14
1-)
Determine the vertical displacement of point B by using the virtual work. Each A-36 steel member has a cross-sectional area of 400 [mm+. E�� � 200�GPa.
2-)
Determine the horizontal displacement of joint B and the vertical displacement of joint C of the truss shown above by using the virtual work. Each A-36 steel member has a cross-sectional area of 400 �mm+. E�� � 200�GPa.
MECHANICS OF MATERIALS - II
RECITATION 15
1-)
Determine the slope at point A and the displacement at C of the simply supported beam, shown above by using the virtual work. E=13.110*�kN m+⁄