lecture 31: stress transformation â principal …...transformations top-drop-sweep the clock sec...
TRANSCRIPT
![Page 1: Lecture 31: Stress transformation â Principal …...transformations Top-Drop-Sweep the Clock Sec 12.9 Mohr's Circle To help you remember this method, we're even going to give ita](https://reader034.vdocument.in/reader034/viewer/2022050217/5f6380c22e2f781b6d7303ff/html5/thumbnails/1.jpg)
ME 323 Mechanics of Materials
![Page 2: Lecture 31: Stress transformation â Principal …...transformations Top-Drop-Sweep the Clock Sec 12.9 Mohr's Circle To help you remember this method, we're even going to give ita](https://reader034.vdocument.in/reader034/viewer/2022050217/5f6380c22e2f781b6d7303ff/html5/thumbnails/2.jpg)
0, 0, 0 0, 0, 0x y xy z xz yz
![Page 3: Lecture 31: Stress transformation â Principal …...transformations Top-Drop-Sweep the Clock Sec 12.9 Mohr's Circle To help you remember this method, we're even going to give ita](https://reader034.vdocument.in/reader034/viewer/2022050217/5f6380c22e2f781b6d7303ff/html5/thumbnails/3.jpg)
, ,n t nt
, ,x y xy
2 2cos sin in s2s con x y xy
2 2cos sin sios ncnt x y xy
cos 22 2
sin 2x y x yn xy
cos 22 2
sin 2x y x yyt x
sin 22
cos 2x yxynt
, ,n t nt, ,x y xy
i j00ij
![Page 4: Lecture 31: Stress transformation â Principal …...transformations Top-Drop-Sweep the Clock Sec 12.9 Mohr's Circle To help you remember this method, we're even going to give ita](https://reader034.vdocument.in/reader034/viewer/2022050217/5f6380c22e2f781b6d7303ff/html5/thumbnails/4.jpg)
![Page 5: Lecture 31: Stress transformation â Principal …...transformations Top-Drop-Sweep the Clock Sec 12.9 Mohr's Circle To help you remember this method, we're even going to give ita](https://reader034.vdocument.in/reader034/viewer/2022050217/5f6380c22e2f781b6d7303ff/html5/thumbnails/5.jpg)
cos 22 2
sin 2x y x yn xy
n
![Page 6: Lecture 31: Stress transformation â Principal …...transformations Top-Drop-Sweep the Clock Sec 12.9 Mohr's Circle To help you remember this method, we're even going to give ita](https://reader034.vdocument.in/reader034/viewer/2022050217/5f6380c22e2f781b6d7303ff/html5/thumbnails/6.jpg)
nt
sin 22
cos 2x yxynt
![Page 7: Lecture 31: Stress transformation â Principal …...transformations Top-Drop-Sweep the Clock Sec 12.9 Mohr's Circle To help you remember this method, we're even going to give ita](https://reader034.vdocument.in/reader034/viewer/2022050217/5f6380c22e2f781b6d7303ff/html5/thumbnails/7.jpg)
x
y
x
y
![Page 8: Lecture 31: Stress transformation â Principal …...transformations Top-Drop-Sweep the Clock Sec 12.9 Mohr's Circle To help you remember this method, we're even going to give ita](https://reader034.vdocument.in/reader034/viewer/2022050217/5f6380c22e2f781b6d7303ff/html5/thumbnails/8.jpg)
![Page 9: Lecture 31: Stress transformation â Principal …...transformations Top-Drop-Sweep the Clock Sec 12.9 Mohr's Circle To help you remember this method, we're even going to give ita](https://reader034.vdocument.in/reader034/viewer/2022050217/5f6380c22e2f781b6d7303ff/html5/thumbnails/9.jpg)
1 1 1
o2 2 1
2 22
in c
0
s os
9
xy x yp ave p p
p ave p p
R R
R
R
1 2 0nt p nt p
2x y
ave
2
2
4x y
xyR
, ,x y xy
![Page 10: Lecture 31: Stress transformation â Principal …...transformations Top-Drop-Sweep the Clock Sec 12.9 Mohr's Circle To help you remember this method, we're even going to give ita](https://reader034.vdocument.in/reader034/viewer/2022050217/5f6380c22e2f781b6d7303ff/html5/thumbnails/10.jpg)
, ,x y xy
o1 1 1 1 1
o2 2 1
sin co45 2 2
90
s2x y xy
max s s p s s
min s max s s
RR R
R
2x y
avg
2
2
4x y
xyR
1, 21, 2n s s t avgs s
/ 2ave x y
![Page 11: Lecture 31: Stress transformation â Principal …...transformations Top-Drop-Sweep the Clock Sec 12.9 Mohr's Circle To help you remember this method, we're even going to give ita](https://reader034.vdocument.in/reader034/viewer/2022050217/5f6380c22e2f781b6d7303ff/html5/thumbnails/11.jpg)