mukavemet ii s trength of materials ii
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Mukavemet II S trength of Materials II. Mukavemet II S trength of Materials II. Hasar (Akma-Kırılma) Kriterleri Failure Criteria. Teaching Slides Chapter 9 :. Chapter Ou tline. Failure criteria Clasification of failure criteria Failure criteria related to stress - PowerPoint PPT PresentationTRANSCRIPT
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Mukavemet IIMukavemet IISStrength of trength of Materials IIMaterials II
Teaching SlidesChapter 9:
Mukavemet IIMukavemet IISStrength of trength of Materials IIMaterials II
Hasar (Akma-Kırılma) Kriterleri
Failure Criteria
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3D Gerinme Analizi 2
Chapter Chapter OuOutlinetline
Failure criteria Clasification of failure criteria Failure criteria related to stress Failure criteria related to strain Failure criteria related to energy
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3D Gerinme Analizi 3
HASAR (AKMA-KIRILMA) KRİTERLERİ
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3D Gerinme Analizi 4
a) Etkiye göre:i. Yavaş etki halinde akma ve kırılma kriterleriii. Tekrarlı yükler halinde akma ve kırılma kriterleriiii. Dinamik yükler halinde akma ve kırılma kriterleri
b) Sıcaklığa göre:i. Normal sıcaklıkta akma ve kırılma kriterleriii. Yüksek sıcaklıkta akma ve kırılma kriterleriiii. Düşük sıcaklıkta akma ve kırılma kriterleri
Burada normal sıcaklıkta yavaş etki hali için akma ve kırılma kriterleri dikkate alınacaktır.
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3D Gerinme Analizi 5
Makine elemanlarında meydana gelen yetersizlikler:1.Aşırı şekil değiştirmeler
2. Tehlikeli sınır gerilmesini aşma (Akma – kopma gerilmeleri)a.Normal oda sıcaklığındab.Yüksek oda sıcaklığında (sünme-creep)
3. Kırılmaa.Gevrek malzemelerin ani kırılmasıb.Yorulma sebebiyle kırılmac.Yüksek sıcaklıklarda zamanla meydana gelen kırılma
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Malzemelerde Akma ve Kırılma
Gevrek malzemelerde akma hemen-hemen hiç görülmez. Yükleme artırıldığında, ani bir kopma veya kırılma meydana gelir. (Şekil-1.a)Sünek malzemelerde ise, yükleme belirli bir değeri geçtiğinde, önce akma başlar, belirli bir plastik şekil değiştirmeden sonra kopma olur. (Şekil-1.b)
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Stress-Strain TestStress-Strain Test
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Stress-Strain Diagram: Ductile MaterialsStress-Strain Diagram: Ductile Materials
1 psi =6891 pa1 pa (N/m2)=1.451 lb/in2 (psi)
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Stress-Strain Diagram: Ductile MaterialsStress-Strain Diagram: Ductile Materials
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Stress-Strain Diagram: Brittle Materials Stress-Strain Diagram: Brittle Materials
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3D Gerinme Analizi 11
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3D Gerinme Analizi 12
1)Gerilme kriterleria- Maksimum normal gerilme teorisi (Rankine)b- Maksimum kayma gerilmesi teorisi (Tresca)c- İç sürtünme teorisi (Coulomb)d- Mohr kriteri2) Şekil değiştirme teorileria- Maksimum gerinme teorisi (Saint-Venant)b- Maksimum kayma gerinmesi teorisi3) Enerji teorileria- Toplam şekil değiştirme enerjisi teorisib- Biçim değiştirme enerjisi teorisi
Akma ve kırılma kriterleri üç grupta incelenebilir:
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3D Gerinme Analizi 13
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3D Gerinme Analizi 15
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3D Gerinme Analizi 18
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3D Gerinme Analizi 20
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3D Gerinme Analizi 21
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3D Gerinme Analizi 22
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3D Gerinme Analizi 23
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3D Gerinme Analizi 24
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3D Gerinme Analizi 28
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3D Gerinme Analizi 29
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3D Gerinme Analizi 30
EU M
M 2
2
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3D Gerinme Analizi 31
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Meq 32312123
22
21 2 eq
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3D Gerinme Analizi 33
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3D Gerinme Analizi 36
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3D Gerinme Analizi 37
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3D Gerinme Analizi 39
Meq 32312123
22
21 eq
:eq Eşdeğer gerilme
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3D Gerinme Analizi 40
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3D Gerinme Analizi 42
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3D Gerinme Analizi 43
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Teorilerin Karşılaştırılması
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3D Gerinme Analizi 45
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3D Gerinme Analizi 46
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3D Gerinme Analizi 47
80 kN
60 kN
80 m
m
100 mm
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3D Gerinme Analizi 48
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3D Gerinme Analizi 49
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3D Gerinme Analizi 50
Emniyetli çap olarak d=6.25 mm alınır.
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3D Gerinme Analizi 51
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3D Gerinme Analizi 52
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3D Gerinme Analizi 53
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3D Gerinme Analizi 54
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3D Gerinme Analizi 55
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3D Gerinme Analizi 56
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3D Gerinme Analizi 57
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3D Gerinme Analizi 58
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3D Gerinme Analizi 59
da da=
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3D Gerinme Analizi 60
db db=
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3D Gerinme Analizi 61
Sonuç:
dc=dc
dbdbdada=
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3D Gerinme Analizi 62
Örnek:
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3D Gerinme Analizi 63
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3D Gerinme Analizi 65
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3D Gerinme Analizi 66
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3D Gerinme Analizi 67
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3D Gerinme Analizi 68
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3D Gerinme Analizi 69
elde edilir.
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3D Gerinme Analizi 70
bulunur.
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3D Gerinme Analizi 71
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3D Gerinme Analizi 72
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3D Gerinme Analizi 73
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3D Gerinme Analizi 74
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3D Gerinme Analizi 75
Örnek:
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3D Gerinme Analizi 76
Çözüm:
Asal Gerilmeler:
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3D Gerinme Analizi 77
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3D Gerinme Analizi 78
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3D Gerinme Analizi 79
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3D Gerinme Analizi 80
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3D Gerinme Analizi 81
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3D Gerinme Analizi 82
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3D Gerinme Analizi 83
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3D Gerinme Analizi 84
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3D Gerinme Analizi 85
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3D Gerinme Analizi 86
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