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![Page 1: EditionFifthMECHANICS OF MATERIALS Beer • Johnston ...kocaelimakine.com/.../04-mukavemet-1-kesme-kuvveti... · Beer • Johnston • DeWolf • Mazurek 5- 9 Yük, kesme kuvveti](https://reader031.vdocuments.mx/reader031/viewer/2022012303/5a706e267f8b9ab1538bf20e/html5/thumbnails/1.jpg)
© 2009 The McGraw-Hill Companies, Inc. All rights reserved.
MECHANICS OF MATERIALS
FifthEdition
Beer • Johnston • DeWolf • Mazurek
5- 1
Kirişlerde Kesme Kuvveti ve Eğilme Momenti Diyagramları
• Amaç – kirişlerin analiz ve dizaynı
• Kirişler düşey olarak genellikle tekil ve/veya yayılı yüklere maruz kalırlar
• Uygulanan kuvvetler kirişin kesitlerinde iç kesme kuvvetleri ve momentleri meydana getirirler. Kesit üzerinde kesme içkuvvetinden den dolayı kayma gerilmeleri momentten dolayıda normal gerilmeler meydana gelir.
• Bir tasarımda normal gerilmelere neden olan maksimum momentin yeri ve değerini bilmek önemlidir. Çünkü, normal gerilmeler daha büyük ve daha kritiktir.
x
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© 2009 The McGraw-Hill Companies, Inc. All rights reserved.
MECHANICS OF MATERIALS
FifthEdition
Beer • Johnston • DeWolf • Mazurek
5- 2
Kirişlerde genel mesnet tipleri
![Page 3: EditionFifthMECHANICS OF MATERIALS Beer • Johnston ...kocaelimakine.com/.../04-mukavemet-1-kesme-kuvveti... · Beer • Johnston • DeWolf • Mazurek 5- 9 Yük, kesme kuvveti](https://reader031.vdocuments.mx/reader031/viewer/2022012303/5a706e267f8b9ab1538bf20e/html5/thumbnails/3.jpg)
© 2009 The McGraw-Hill Companies, Inc. All rights reserved.
MECHANICS OF MATERIALS
FifthEdition
Beer • Johnston • DeWolf • Mazurek
5- 3
Örnek Şekildeki kirişin kesme kuvveti ve eğilme momenti diyagramlarını çiziniz.
![Page 4: EditionFifthMECHANICS OF MATERIALS Beer • Johnston ...kocaelimakine.com/.../04-mukavemet-1-kesme-kuvveti... · Beer • Johnston • DeWolf • Mazurek 5- 9 Yük, kesme kuvveti](https://reader031.vdocuments.mx/reader031/viewer/2022012303/5a706e267f8b9ab1538bf20e/html5/thumbnails/4.jpg)
© 2009 The McGraw-Hill Companies, Inc. All rights reserved.
MECHANICS OF MATERIALS
FifthEdition
Beer • Johnston • DeWolf • Mazurek
5- 4
Örnek Şekildeki kirişin kesme kuvveti ve eğilme momenti diyagramlarını çiziniz.
![Page 5: EditionFifthMECHANICS OF MATERIALS Beer • Johnston ...kocaelimakine.com/.../04-mukavemet-1-kesme-kuvveti... · Beer • Johnston • DeWolf • Mazurek 5- 9 Yük, kesme kuvveti](https://reader031.vdocuments.mx/reader031/viewer/2022012303/5a706e267f8b9ab1538bf20e/html5/thumbnails/5.jpg)
© 2009 The McGraw-Hill Companies, Inc. All rights reserved.
MECHANICS OF MATERIALS
FifthEdition
Beer • Johnston • DeWolf • Mazurek
5- 5
ÖrnekŞekildeki kirişin kesme kuvveti ve eğilme momenti diyagramlarınıçiziniz.
![Page 6: EditionFifthMECHANICS OF MATERIALS Beer • Johnston ...kocaelimakine.com/.../04-mukavemet-1-kesme-kuvveti... · Beer • Johnston • DeWolf • Mazurek 5- 9 Yük, kesme kuvveti](https://reader031.vdocuments.mx/reader031/viewer/2022012303/5a706e267f8b9ab1538bf20e/html5/thumbnails/6.jpg)
© 2009 The McGraw-Hill Companies, Inc. All rights reserved.
MECHANICS OF MATERIALS
FifthEdition
Beer • Johnston • DeWolf • Mazurek
5- 6
Örnek Şekildeki kirişin kesme kuvveti ve eğilme momenti diyagramlarını çiziniz.
![Page 7: EditionFifthMECHANICS OF MATERIALS Beer • Johnston ...kocaelimakine.com/.../04-mukavemet-1-kesme-kuvveti... · Beer • Johnston • DeWolf • Mazurek 5- 9 Yük, kesme kuvveti](https://reader031.vdocuments.mx/reader031/viewer/2022012303/5a706e267f8b9ab1538bf20e/html5/thumbnails/7.jpg)
© 2009 The McGraw-Hill Companies, Inc. All rights reserved.
MECHANICS OF MATERIALS
FifthEdition
Beer • Johnston • DeWolf • Mazurek
5- 7
Örnek Şekildeki kirişin kesme kuvveti ve eğilme momenti diyagramlarını çiziniz.
![Page 8: EditionFifthMECHANICS OF MATERIALS Beer • Johnston ...kocaelimakine.com/.../04-mukavemet-1-kesme-kuvveti... · Beer • Johnston • DeWolf • Mazurek 5- 9 Yük, kesme kuvveti](https://reader031.vdocuments.mx/reader031/viewer/2022012303/5a706e267f8b9ab1538bf20e/html5/thumbnails/8.jpg)
© 2009 The McGraw-Hill Companies, Inc. All rights reserved.
MECHANICS OF MATERIALS
FifthEdition
Beer • Johnston • DeWolf • Mazurek
5- 8
Örnek Şekildeki kirişin kesme kuvveti ve eğilme momenti diyagramlarını çiziniz.
![Page 9: EditionFifthMECHANICS OF MATERIALS Beer • Johnston ...kocaelimakine.com/.../04-mukavemet-1-kesme-kuvveti... · Beer • Johnston • DeWolf • Mazurek 5- 9 Yük, kesme kuvveti](https://reader031.vdocuments.mx/reader031/viewer/2022012303/5a706e267f8b9ab1538bf20e/html5/thumbnails/9.jpg)
© 2009 The McGraw-Hill Companies, Inc. All rights reserved.
MECHANICS OF MATERIALS
FifthEdition
Beer • Johnston • DeWolf • Mazurek
5- 9
Yük, kesme kuvveti ve moment arasındaki ilişki
• Yayılı yük ile kesme kuvveti arasındaki ilişki:
( )xwV
xwVVVFy
∆−=∆
=∆−∆+−=∑ 0:0
wdxdV
−=
( )
( )221
02
:0
xwxVM
xxwxVMMMMC
∆−∆=∆
=∆
∆+∆−−∆+=∑ ′
∫=−D
C
x
xCD dxVMM
• Kesme kuvveti ile eğilme momenti arasındaki ilişki:
=− CD VV
∫−=−D
C
x
xCD dxwVV
- (CD arasında yayılı yük eğrisi altında kalan alan)
VdxdM
=
=− CD MM (CD arasında kesme kuvveti eğrisi altında kalan alan)
![Page 10: EditionFifthMECHANICS OF MATERIALS Beer • Johnston ...kocaelimakine.com/.../04-mukavemet-1-kesme-kuvveti... · Beer • Johnston • DeWolf • Mazurek 5- 9 Yük, kesme kuvveti](https://reader031.vdocuments.mx/reader031/viewer/2022012303/5a706e267f8b9ab1538bf20e/html5/thumbnails/10.jpg)
© 2009 The McGraw-Hill Companies, Inc. All rights reserved.
MECHANICS OF MATERIALS
FifthEdition
Beer • Johnston • DeWolf • Mazurek
5- 10
ÖrnekŞekildeki kirişin kesme kuvveti ve eğilme momenti diyagramlarını çiziniz.
![Page 11: EditionFifthMECHANICS OF MATERIALS Beer • Johnston ...kocaelimakine.com/.../04-mukavemet-1-kesme-kuvveti... · Beer • Johnston • DeWolf • Mazurek 5- 9 Yük, kesme kuvveti](https://reader031.vdocuments.mx/reader031/viewer/2022012303/5a706e267f8b9ab1538bf20e/html5/thumbnails/11.jpg)
© 2009 The McGraw-Hill Companies, Inc. All rights reserved.
MECHANICS OF MATERIALS
FifthEdition
Beer • Johnston • DeWolf • Mazurek
5- 11
Uygulama Problemleri
![Page 12: EditionFifthMECHANICS OF MATERIALS Beer • Johnston ...kocaelimakine.com/.../04-mukavemet-1-kesme-kuvveti... · Beer • Johnston • DeWolf • Mazurek 5- 9 Yük, kesme kuvveti](https://reader031.vdocuments.mx/reader031/viewer/2022012303/5a706e267f8b9ab1538bf20e/html5/thumbnails/12.jpg)
© 2009 The McGraw-Hill Companies, Inc. All rights reserved.
MECHANICS OF MATERIALS
FifthEdition
Beer • Johnston • DeWolf • Mazurek
5- 12