29
(Eşdeğer Kuvvet Sistemleri)

Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support

  • Upload
    others

  • View
    27

  • Download
    0

Embed Size (px)

Citation preview

Page 1: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support

(Eşdeğer Kuvvet Sistemleri)

Page 2: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support
Page 3: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support
Page 4: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support
Page 5: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support
Page 6: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support

sy 58

DİKKAT:

Page 7: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support

Kuvvetlerin Toplanması

Page 8: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support

O nok. eşdeğer kuvvet sistemi

Kuvvet çifti

Page 9: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support

Örnek:

sy 60

Page 10: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support
Page 11: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support

O n

ok.

Eşd

eğer

Kuv

vet

Sis

tem

i

Orij

inal

Ku

vvet

Sis

tem

i

Page 12: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support

Bunun olabilmesi için, FR’nin etki çizgisinin ve (MR)0’ın moment ekseninin

birbirine dik olması gerekmektedir. Bu zorunluluktan dolayı, sadece aynı

noktadan geçen (concurrent), aynı düzlemde olan (coplanar), ve paralel kuvvet

sistemleri daha da basitleştirilerek eşdeğer kuvvet sistemlerine indirgenebilir.

Kuvvet sistemlerinin daha da basitleştirilmesi:

Page 13: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support
Page 14: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support
Page 15: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support
Page 16: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support
Page 17: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support
Page 18: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support
Page 19: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support

Aynı düzlemde bulunan kuvvetleri (bileşke momentin ekseni bileşke kuvvete dik olmakta)

Page 20: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support

Örnek:

sy 63

1.75 kN

Page 21: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support

1.75 kN

Page 22: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support
Page 23: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support
Page 24: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support

Örnek:

sy 65

Page 25: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support

=

Page 26: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support
Page 27: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support

Moment Toplamı (Skaler Analiz)

Page 28: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support
Page 29: Lecture 4 Statics.ppt [Uyumluluk Modu]kisi.deu.edu.tr/ozgur.ozcelik/Statik/Ders Notlari... · and a couple moment (MR)O = (WI dl + W2d2) at the support O. In both cases the support

Ödev:

Cevap: (a) FR = 50.2 kN, θ= 84.3o veMRA = 239.46 kNm (saat akrebi yönünde),

(b) d = 4.79 m (A nok. olan mesafe)

Şekilde gösterilen kuvvet sistemini (a) A noktasında eşdeğer kuvvet-kuvvet çiftine indirgeyiniz, (b) tek bir kuvvete indirgeyip, AB kirişini kestiği yeri bulunuz.