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ุงูุณูุงู
ุนูููู
ุงูููู
ุณูู ูุชุญุฏุซ ุนู ู
ููุงูููุง ุฃุณุทูุฑูุฉ
2
00:00:27,010 --> 00:00:42,550
ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32
3
00:00:42,550 --> 00:00:42,630
ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32
4
00:00:42,630 --> 00:00:42,710
ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32
5
00:00:42,710 --> 00:00:43,250
ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 33 ุญุฏุซ 33
6
00:00:43,250 --> 00:00:48,850
ุญุฏุซ 35 ุญุฏุซ 35
7
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ู
ุด ุดููู ุงูู ุงูููุงู
ุงูู
ูุถู ุฃู ูุฏ ูููู ู
ูุถู ุฃู
8
00:00:59,000 --> 00:00:59,400
ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู
9
00:00:59,400 --> 00:00:59,980
ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู
10
00:00:59,980 --> 00:01:00,440
ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู
11
00:01:00,440 --> 00:01:01,420
ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู
12
00:01:01,420 --> 00:01:04,920
ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู
13
00:01:04,920 --> 00:01:12,400
ู
ูุถู ุฃู ู
ูุถู
14
00:01:12,400 --> 00:01:16,740
ุฃู ู
ูุถู
15
00:01:17,890 --> 00:01:23,750
frames and trusses ุงูู frame ุงููู ูู ุงูุด ุงูู ูููู ู
16
00:01:23,750 --> 00:01:26,850
ุงูู truss ุงููู ุนุงุฑูููู ุงููู ุงุญูุง ุจูุณู
ูู ุจุงูุนุงู
ูุฉ ุงูู
17
00:01:26,850 --> 00:01:31,990
truss ุงูุด ุงูู truss ุงูุญูู ูู
ุง ุงูุช ู
ุดู ุงูุช ูู ู
ู
ุฑ
18
00:01:31,990 --> 00:01:39,070
ุงูุด ุจุชูุงูู ุฃู ุจูููู ุงูุด ุงููู ูุง ุจูุณู
ูู truss ุงูุขู
19
00:01:39,070 --> 00:01:46,000
ุณูู ุงููุฑู
ูุฏ ุงููู ูู ุญุงุฌุฉ ุจูุณู
ููุง ุฏู ุงูู truss ุงููู
20
00:01:46,000 --> 00:01:50,140
ูู ุงูุญู
ุงูุฉุ ููุชููู
ุนูู .. ูุดูุฉ ูุง ุงูุช .. ูุฃ ูุฃ ู
ุด
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00:01:50,140 --> 00:01:56,500
ุงููุดูุฉ .. ูู ุฏู .. ููุชููู
ุนููุงุ ูุงุชุฌูุฌููุด .. ุงูุขู
22
00:01:56,500 --> 00:01:57,940
ูู
ุง ูุชููู
ุนูู ..
23
00:02:02,380 --> 00:02:06,860
Statically determinate structure when a structure
24
00:02:06,860 --> 00:02:11,960
member that is part of the structure is loaded in
25
00:02:11,960 --> 00:02:15,760
a certain direction ูุนูู ูู
ุง ูููู ุนูุฏูุง ุงูู structure
26
00:02:15,760 --> 00:02:23,240
ู
ุญู
ู ุจุงุชุฌุงู ู
ุนูู ุงูู load will cause reaction ูุนูู
27
00:02:23,240 --> 00:02:28,100
ูู ุฃุฌุช ููุฉ ุนูู ุญุงุฌุฉ ููุตูุฑ ููุง ุฑุฏ ูุนู ุงูุขู ุฑุฏุฉ
28
00:02:28,100 --> 00:02:33,020
ุงููุนู ูุฐุง ูุนูู ุงู ุทุงูุฉ ุฃุฎุฑู ู
ุชุณุงููุฉ ูููุถุน ุณุชุนู
ู ูู
29
00:02:33,020 --> 00:02:38,800
ุงูุงุชุฌุงู ุงูู
ุนูุณ ููู ูุนู ุฑุฏ ูุนู ู
ุณุงูู ูู ุงูู
ูุฏุงุฑ
30
00:02:38,800 --> 00:02:43,400
ู
ุนูุณ ูู ุงูุงุชุฌุงู ูุฐุง ุงููู ุจูุญูููุง ุงู ูู ูููุณ ุงูู
31
00:02:43,400 --> 00:02:47,540
reaction will counteract resist the load and stop
32
00:02:47,540 --> 00:02:51,320
the member from moving ูุนูู ูุฐู ุงูููุฉ ูู
ุง ููุฌู
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00:02:51,320 --> 00:02:58,300
ูุญุทูุง ู
ุด ูุชุฎูู ุงูุฌุณู
ุฃู ุงูุนุถู ูุฐุง ูุชุญุฑู when the
34
00:02:58,300 --> 00:03:02,700
loads and reactions acting in members are equal
35
00:03:02,700 --> 00:03:07,700
ูู
ุง ูุฐุง ูููู ุงูุฃุญู
ุงู ูุฑุฏูุฏ ุงูุฃูุนุงู ุชุจุนุชูุง ุฃู
36
00:03:07,700 --> 00:03:13,360
ุงูุชูุงุนู ู
ุนูุง ุงูููุฉ ุงูู
ุถุงุฏุฉ ููุง ู
ุชุณุงููุฉุ ุงูุด ุงููู
37
00:03:13,360 --> 00:03:17,620
ุจูุญุตูุ we say it is in equilibrium ุนู
ููุฉ ุงูุดุ
38
00:03:17,620 --> 00:03:23,490
ุงุชุฒุงู structures that are designed not to move to
39
00:03:23,490 --> 00:03:26,510
stay in equilibrium are called statically
40
00:03:26,510 --> 00:03:29,690
determined structures ูุนูู ุงููู statically
41
00:03:29,690 --> 00:03:32,210
determined structure ูู
ุงูู structure in
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00:03:32,210 --> 00:03:36,530
equilibrium ูุนูู ุจุชุชุญุฑูุด ูุง ุจุฑูุญ ููุง ุจุชุชุญุฑู ุจุงูููุฉ
43
00:03:36,530 --> 00:03:41,490
ุงููู ุจุชูุถุบุท ุนููู ูุฐุง ุจูููู ุนูู ุงูุดุ ุฃููุฉ
44
00:03:41,490 --> 00:03:46,250
statically determined structure ูููุณุ
45
00:03:48,330 --> 00:04:02,030
resultant forces and the center of gravity ุนุงุฏุฉ
46
00:04:02,030 --> 00:04:09,030
ุฃู ูููู ุจูุญู
ู
47
00:04:09,030 --> 00:04:16,990
ุฃุญู
ุงู ู
ุฎุชููุฉ ูู ุณูุงุก ู
ู ูุงุญูุฉ ุงูู magnitude ุฃู ู
ู
48
00:04:16,990 --> 00:04:21,130
ูุงุญูุฉ ุงูุงุชุฌุงู ุงููู ุจุชูุฌู ุนููู to calculate the
49
00:04:21,130 --> 00:04:23,830
results of these different components ููุฐุง ุฎุฏุชููุง
50
00:04:23,830 --> 00:04:27,770
ุจุงูููุฒูุงุก component forces and engineer can
51
00:04:27,770 --> 00:04:32,370
calculate a resultant force or resultants ูุนูู ูู
52
00:04:32,370 --> 00:04:36,750
ุงูุนุงุฏุฉ ุงุญูุง ู .. ุฎุฏุชููุง ุจุงูู statistics ูู ุงูุซุงูููุฉ
53
00:04:36,750 --> 00:04:42,890
ุจุงูููุฒูุงุก ุตุญุ ููุฒูุงุก ุงูู ุฃุฎุฏุชูุง ุงูุช ูู ุนูุฏู ููุฉ
54
00:04:42,890 --> 00:04:47,850
ู
ุฎุชููุฉ ุฌุงู ุจุฏุฃ ุฃุฌูุจ ุงูู
ุญุตูุฉ ุชุจุนุชูุง ุจุงุฌูุจ ุญุงุฌุฉ
55
00:04:47,850 --> 00:04:52,070
ุงุชุฌุงู ุงูู
ุญุตูุฉ ูู ุงูุงุชุฌุงู ุงูุนู
ูุฏู ูุงูุนู
ูุฏู ูุงูุฃููู
56
00:04:52,070 --> 00:04:56,250
ูุจุนุฏูู ุจุงุฌูุจ ุงูู
ุญุตูุฉ ุชุจุนุช ุงูุชูุชูู ุชุทูุน ูู ุฃู ุงุชุฌุงู
57
00:04:56,250 --> 00:05:01,230
ุจุณ ูุงุฒู
ุฃุญุฏุฏ ุงูููุทุฉ ุงููู ุนูุฏูุง ุจุชุทูุงู ูู ูุฐู ุงูููุฉ
58
00:05:01,230 --> 00:05:04,210
ุงููู ุจูููู ุงูู center of gravity ุฃู ุงูู center ุงููู
59
00:05:04,210 --> 00:05:11,050
ุนูุฏู ููุฐู ุงูุดุบูุฉ one of the main forces exerted in
60
00:05:11,050 --> 00:05:14,810
structure is gravity ุงุญูุง ูู ูู ุดู ูู ุนูุฏูุง
61
00:05:14,810 --> 00:05:17,470
ุงูุฌุงุฐุจูุฉ ุงูุฃุฑุถูุฉ
62
00:05:21,560 --> 00:05:28,900
Okay ุงูู gravity this acts vertically downward ุงููู
63
00:05:28,900 --> 00:05:33,380
ูู ูุนูู ุนุงุฏุฉ ุงูู gravity ุจุชูุฌู ุงูุด ุนู
ูุฏู ูู ุงุชุฌุงู
64
00:05:33,380 --> 00:05:38,640
ุงูุฃุณูู ูุฐู ู ุฏุงูู
ุง ูุฐู ุจูุญุณุจ ุญุณุงุจูุง ุจุดูู .. ุจุฏู
65
00:05:38,640 --> 00:05:43,730
ุชุดูู ุงูุชูุงุตูู ุจุชุฑูุญ ุนูู ุงูู chapter 9ุงูุฌุงุฐุจูุฉ ุชุชุนุฑุถ
66
00:05:43,730 --> 00:05:49,970
ููู ุฏุฑูุฉ ูุฌุงุฐุจูุง ููู ุฅุดู ููู ุฏุฑูุฉ ููุง ุชุชุนุฑุถ
67
00:05:49,970 --> 00:05:54,410
ููุฌุงุฐุจูุฉ However, to simplify their calculation
68
00:05:54,410 --> 00:05:57,410
engineers assumed that gravity exerted an
69
00:05:57,410 --> 00:06:01,510
imaginary point called the center of gravity ุงูุขู
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00:06:01,510 --> 00:06:04,470
ุงูู center of gravity ุงููู ุจูุชููู
ุนููู ูู ููุทุฉ ุงูุด
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00:06:04,470 --> 00:06:10,230
imaginary point ููุทุฉ ูุฑุถูุฉ ุงุญูุง ุจููุฑุถูุง ูู ุนูู
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00:06:10,230 --> 00:06:14,850
ุฃุฑุถ ุงููุงูุน ูู ุฌุฒุฆูุฉ ูู ุงูุฌุณู
ุฃู ูู ุถุฑุฑ ุฅููุง ูุฐู ุจุณ
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00:06:14,850 --> 00:06:19,130
ุงุญูุง ุจูููู ููู ุจุฏูุง ูููู ูู ูุฐู ููุทุฉ ุงูุฌุงุฐุจูุฉ
74
00:06:19,130 --> 00:06:23,370
ุชุจุนุชูุง ุงููู ุจูุชููู
ุนููุง Depending on the shape of
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00:06:23,370 --> 00:06:27,330
the object, this point may be inside the object, a
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00:06:27,330 --> 00:06:32,750
cross-sectional area or outside the cross
77
00:06:32,750 --> 00:06:35,770
-sectional area ูุนูู ู
ู
ูู ููุทุฉ ุงูุฌุงุฐุจูุฉ ุงูุฃุฑุถูุฉ
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00:06:35,770 --> 00:06:39,990
ูุฐู ุงููู ุจูููู ุนููุง ุงูุชุฑุงุถูุฉ ุชุจูู ุฌูุง ุงูู
ุณุงุญุฉ
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00:06:39,990 --> 00:06:44,470
ุงูุนุฑุถูุฉ ููู object ุฃู ุชุจูู ุฎุงุฑุฌูุง ููู ุทุจ ููู ุฏู
80
00:06:44,470 --> 00:06:49,230
ูุชููู ุฎุงุฑุฌูุงุ ุทุงูุน ุนูู ุดูููุง ููุง ุจุณูููุฉ ุจูููู ููู
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00:06:49,230 --> 00:06:55,590
ุฌุงูุฉุ ูู ุงููุตู ููุง ุฌูุง ูููุง ุงุดุทูุนุช ุจุฑุง ููุฐู ุจุชุนุทูู
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00:06:55,590 --> 00:07:02,230
example ููู ุงููุง ู
ู
ูู ุชููู ุจุฑุง ุงูุขู
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00:07:02,230 --> 00:07:08,890
ูู
ุง ูุชููู
ุนู ุงูู frames and traces ุงูู frame is made
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00:07:08,890 --> 00:07:14,330
from a number of relative ten members ุนุงุฏุฉ ุงูู
85
00:07:14,330 --> 00:07:19,400
frame .. ุฎูููู
ู
ุนุงูุง ูุง ุจูุงุช ุงูู frame ูู ุนุจุงุฑุฉ ุนู
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00:07:19,400 --> 00:07:22,920
ุงูุดุ ุทูุน ุฃูุช ุงูุญู
ุงูุฉ ุงููู ุจุชูุนู
ู ุนูู ุงูุดุจุงูุ ูุฐุง
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00:07:22,920 --> 00:07:29,360
ุจูุณู
ูู frame ุงูุฏุฑุฌุ ุดุงุญุท ุงูุญุฏูุฏ ุงููู ุนูู ุดุงุญุท
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00:07:29,360 --> 00:07:35,380
ุงูุฏุฑุฌุ ูุฐุง ุจูุณู
ูู frame ูู ุฅุทุงุฑุ ุจุชูุฏุฑ ุชุนุชุจุฑููุ ุจุณ
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00:07:35,380 --> 00:07:43,720
ุนุงุฏุฉ ุงูู
ูุตุฏ ุงูููุฏุณู ููู ูู ุฅุทุงุฑ ู
ู ุงูุฃุนุถุงุก ุชุจุนุฉุ
90
00:07:43,720 --> 00:07:49,140
ุงูุด ุจูููู ุนูู ุงูู tinุ ุงุฑูุนุฉ example are bicycle
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00:07:49,140 --> 00:07:54,620
frames ุงูุจุณูุงููุช ุงูุฅุทุงุฑ ุชุจุนุช ุงูุจุณูุงููุช steel frame
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00:07:54,620 --> 00:08:00,420
building ุงููู ูู ุชุจุนุงุช ุงูุจูุงูุงุช members of a frame
93
00:08:00,420 --> 00:08:04,560
can form a complex shape often with many triangles
94
00:08:04,560 --> 00:08:09,620
called lattices ุงูุขู ุนุงุฏุฉ ููููู ุงูู frame ููู ุงูุด
95
00:08:09,620 --> 00:08:15,080
ูุงุฒู
ุฃุนู
ูู ุนูู ุดูู ู
ุชูุชุงุช ูู ุฃูุง ุฌูุช ุนู
ูุช frame
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00:08:15,080 --> 00:08:23,790
ูุงูุชุงูู ุฃุจูุงุก ุชููููุง ู
ุนุงู ุจุฏูู ุตูุช ุฌุงูุจู ูุฐุง
97
00:08:23,790 --> 00:08:27,990
frame ูู ุฌูุช ุถุบุทุช ุนููู ุงูุด ุงูู frame ูุฐุง ุจุฏู ูุญุตู
98
00:08:27,990 --> 00:08:35,470
ููุ ุจุณููุดุ ุจุงูุทุนุดุ ู
ุธุจูุท ูุฐุง ุจูุตูุฑ .. ุจุชูุงููู ุนูู
99
00:08:35,470 --> 00:08:41,030
ุทูู ุจูุญุตูุ ู
ุธุจูุทุ ูุฃุฏุนู
ู ุงูุด ุจุนู
ูุ ูู ุญุทูุช ู
ูุชูุฉ
100
00:08:41,030 --> 00:08:49,360
ุชุงุนุช ููุง ุงูุด ุจูุญุตู ููุ ุจุชุฌูู ูุฐุง ุงููุตุฏ ููู ุงููู
101
00:08:49,360 --> 00:08:53,460
ุนูุฏูุ ุงูุขู ูุฐู ูู simple structureุ structure
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00:08:53,460 --> 00:08:57,340
deformed under loadุ ููุง ุนู
ูุช ูุฅูุดุ adding cross
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00:08:57,340 --> 00:09:01,520
members ุงููู ูู .. ุงููู .. ุงููู ูู ุงุณุชูู ุฏู ุงูุดุ
104
00:09:01,520 --> 00:09:05,220
ุงูู structure ุงููู .. ุงููู ู
ูุฌูุฏ ุนูุฏู
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00:09:09,220 --> 00:09:14,820
Okay members of the frame can form a complex shape
106
00:09:14,820 --> 00:09:18,860
often with many triangles called lattices ุงููุงุชูุณ
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00:09:18,860 --> 00:09:23,080
ูุฐุง ูู ุงูู triangular shape the advantage of
108
00:09:23,080 --> 00:09:29,380
triangles is that they are stiff ุงูุด ูุนูู stiff
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00:09:29,380 --> 00:09:36,240
ูู
ุง ุงููุงุญุฏ stiff arm ุจุชู
ุฏู ุงูุฏู ุฒู ููู ูุจุช ..
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00:09:36,240 --> 00:09:40,720
ุจุชู
ุดู .. ุญุฏ ู
ูุฏุฑ ูุฌุฑุจ ู
ููุ ูุฐุง ุจูุณู
ููุง stiff arm
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00:09:40,720 --> 00:09:47,610
ู
ุดุฏูุฏุฉ ุงูู aid ู
ุดุฏูุฏุฉ stiff arm ููุฐููุฉ ุจูุนู
ููุง
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00:09:47,610 --> 00:09:50,650
ุงูุญุฏูุฏ stiff ูุนูู ุงูุดุ ุงูู stiff arm ุชูุทุน ุฌูุด
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00:09:50,650 --> 00:09:55,770
ู
ู
ุฏูุฏุฉ ู
ุดุฏูุฏุฉ ู
ุด ู
ุทุนูุฌุฉ ููู ูู
ุง ุชุญุทููุง ุฒู ููู ู
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00:09:55,770 --> 00:09:59,990
ุจุชุฒุฌู ุญุฏ ูู ูุงูุช ู
ุชููุฉ ู ุจุชุฒุฌู ุญุฏ ูู ููู force
115
00:09:59,990 --> 00:10:03,910
ุจูุฌูุด ุจุงูุณูุงุฑุฉ ุชูุชูู ุจุณ ูู ูุงูุช ุฒู ููู ู
ุงุญุฏุด
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00:10:03,910 --> 00:10:10,190
ุงูุชุงููุฉ ุตุนุจุฉ ููุฐู ุงูููุฑุฉ ูู ุงูู stiff they strongly
117
00:10:10,190 --> 00:10:15,130
resist deformation ูุนูู ุชูุฏุฑูุด ุงูุชุดูู ุงููู ุนูุฏู
118
00:10:19,330 --> 00:10:25,030
ุงูุช ูู ุงูู .. ูู ุงูู
ุนูู .. ูู ุงูู
ุนูู ุงูุณูุจู .. ุงู
119
00:10:25,030 --> 00:10:30,310
ุงุณุชูู ุงูุดุฎุต ุงููู ุจุชูุงููู ุฃุญูุงูุง ุจูููู ุนูู ุงููู
120
00:10:30,310 --> 00:10:38,310
ุจูุบูุฑุด ูุนูู ู
ุฎ ู ุจูู ุฒู ููู ุจุณ ูู ุงูู .. ุจุฑุถู ูู
121
00:10:38,310 --> 00:10:42,290
ุงููุบุฉ ุงูุนุงู
ูุฉ ุงูู
ูุฌูุฏุฉ ุงูู stiff ุฃูุชุฑ ุดูุก ุจูุณู
ููุง
122
00:10:42,290 --> 00:10:46,170
ุงูู stiff arm ุงููู ูู ุงูุด ุงูุฅูุฏ ุงูู
ู
ุฏูุฏุฉ ุงููู ุจุชุฎูู
123
00:10:46,170 --> 00:10:51,570
ู
ุณุงูุฉ ุจูู ุงูุฃุดุฎุงุต ูุงูู stiff ูุนูู ุจุชุนู
ูุด ุงูู ูุนูู
124
00:10:51,570 --> 00:10:55,930
ุฎูููุง ูููู ุจุชู lean ุจุชู lean ุฃู ุจุชุบูุฑุด ุดูููุง ูุฐุง ุงูู
125
00:10:55,930 --> 00:11:01,720
..ุงููู ุจูุญูู ูููุง ุงูู triangular ุงูู symbols can
126
00:11:01,720 --> 00:11:06,180
therefore be used to stiffen or brace a structure
127
00:11:06,180 --> 00:11:11,440
ูุนูู ูุชููู ุงู structure ุฃู ูุชุฏุนู
ุงู structure ูุฐุง
128
00:11:11,440 --> 00:11:16,300
ุงููุฏู ู
ููุง ุงู diagram two ุงููู ูุชุดูููู ุงู
129
00:11:16,300 --> 00:11:19,280
structure ุฏู ููู ุงููู ุดูููุงูุง because the joints
130
00:11:19,280 --> 00:11:22,760
between the ten members are weak ุงู joints ุงููู ูู
131
00:11:22,760 --> 00:11:28,130
ุฅูุด ูุฐู ุจูุณู
ููุง jointุ ุฃููุฉ ูุฐู ุจูุณู
ููุง joints ูุฏูู
132
00:11:28,130 --> 00:11:34,210
ุงู joints ุงูุฑูุจ ู ูุฏูู ูุฐู ุงูู
ูุงุตู ูู ุงูู
ูุตู
133
00:11:34,210 --> 00:11:39,950
ุงูู
ูุตู ุงูุฒูุงูุง ุชุนุฏ ุฅูุดุ ู
ูุงุตู ุงูุชูุงุก ุฃู ุฌุณู
ุฃู
134
00:11:39,950 --> 00:11:46,470
ุญุงุฌุชูู ุจูุณู
ููุง ู
ูุตู ูุนูุง ููุนูู ู
ู ุงูู
ูุงุตู ู
ูุงุตู ุฒู
135
00:11:46,470 --> 00:11:51,090
ุฅุญูุง ุฅูุฏููุง ู ุฑุฌูููุง ูุฏูู ุฅูุด ุจูุณู
ููุงุ ูููุฉ ุจุชุฎูู
136
00:11:51,090 --> 00:11:58,360
ุญุฑูุฉ ู ูู ู
ูุงุตู ู
ุด ูููุฉ ุฒู ุงูู
ูุฌูุฏ ููุง ูุฐู ุจูุณู
ููุง
137
00:11:58,360 --> 00:12:05,840
solid joints ููุฐู ุจูุณู
ููุง pin joint ุงู pin joint
138
00:12:05,840 --> 00:12:09,780
ุงููู ูู flexible ูู flexibility ูููุง ููุฐู ููุชููู
139
00:12:09,780 --> 00:12:15,850
ุนููุง ูู
ุงู ุณุงุทุฑูู are weak and can flex easily flex
140
00:12:15,850 --> 00:12:20,530
ุฅูุด ูุนูู ุจุชุชุญุฑู ุจุณุฑุนุฉ joints which flex because
141
00:12:20,530 --> 00:12:23,370
they are weak or because they are designed to do
142
00:12:23,370 --> 00:12:28,090
so ุงููู ูู ู
ุตู
ู
ุฉ ุฒู ุงูู
ูุงุตู ุงูุฅูุณุงู ู
ุตู
ู
ุฉ ุฅูููุง
143
00:12:28,090 --> 00:12:33,610
ุชุชุญุฑู ุชููู flexible are called bend joints ูุนุฑูุชูุง
144
00:12:33,610 --> 00:12:38,110
ุฅูุด ุงู bend jointsุ ุงููู ุจุชุชุญุฑู ุงูุขู ุงูููุน ุงูุซุงูู
145
00:12:38,110 --> 00:12:42,830
ูู lattices which are entirely bent joint and
146
00:12:42,830 --> 00:12:45,810
which therefore need cross members to stiffen them
147
00:12:45,810 --> 00:12:50,350
are called traces ุงู traces ุงููู ูู ุฅูุดุ ุจุฏูู
ุฏุนู
148
00:12:51,560 --> 00:12:55,760
ุงูู trust contain two types of members, members
149
00:12:55,760 --> 00:13:00,140
that resist tension are called ties ูู ุนูุฏู ุญุงุฌุงุช
150
00:13:00,140 --> 00:13:07,680
ุจุชูุงูู
ุงูุดุฏ ุจูุณู
ููู
ties ููู ุญุงุฌุงุช ุจุชูุงูู
ุงูุงุดุงูู
151
00:13:07,680 --> 00:13:10,460
compression ุงููู ุจุชูุงูู
ุงู compression which
152
00:13:10,460 --> 00:13:14,000
members that resist compression are called struts
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00:13:14,000 --> 00:13:18,340
ุงูู struts ุงููู ูู ุจุชูุงุฑู ุงู compression ุงู ties
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00:13:18,340 --> 00:13:23,060
ุงููู ูู ุจุชูุงุฑู ุงู tension ุงูุดุฏ a joint which does
155
00:13:23,060 --> 00:13:27,520
not flex is called a rigid joint rigid ุฃู solid
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00:13:27,520 --> 00:13:34,140
ุงููู ูู ุฅูุดุ ุจุชุชุญุฑูุด or moments connection rigid
157
00:13:34,140 --> 00:13:37,780
joints are often thick and securely joined for
158
00:13:37,780 --> 00:13:43,200
example by weld ุฅูุด ุงู weld ูููุง ุนููุ
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00:13:43,200 --> 00:13:48,620
ุงุชููู
ูุง ุนูู ุงูู
ุญุงุถุฑุฉ ูุจู ุชู
ุงููุฉ ู ุนุดุฑูู ู
ุธุจูุทุ
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00:13:48,620 --> 00:13:53,520
ุงูุญุงู
ุนู
ููุฉ ุงูุญุงู
ุงููู ูู ุงู weld ุงูุขู ุฅุทูุน ุนูุฏู
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00:13:53,520 --> 00:14:00,060
ุชุชุฐูุฑูุง ุณุฌูู ุงููุฑู
ูุฏุ ุดูุชููู
ุฅูุด ุงูุดูู ุชุจุน ุงูุญุงู
162
00:14:00,060 --> 00:14:05,600
ุงููู ุชุจุนูุ ุฒู ููู ู
ุธุจูุทุ ุงูุขู ูู ุถุบุทุช ูุฐู joint
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00:14:05,600 --> 00:14:09,240
ุจูุณู
ููุง pin joint ูู ุถุบุทุช ุนูููุง ุฅูุด ุจูุญุตู ูู ูุฏูู
164
00:14:09,240 --> 00:14:16,120
ูุฏููุฉ ุจุฏูุง ุชูุฑุฏ ุฃู ูุฏููุฉ ุฅูุด ุจุฏูู
ูุณููุงุ ุงูุขู ูู
165
00:14:16,120 --> 00:14:20,760
ุฑุจุทุชูู
ุจุญุงุฌุฉ ู
ู ููุง ุญุทูุช ุดูููุฉ ุฎุดุจ ุฃู ุญุงุฌุฉ ุจูุฐู ูุฐู
166
00:14:20,760 --> 00:14:25,960
ุจูุณู
ูููุง ุงููู ุดูุชููุง ุฅูุด ูููููุงุ ุฅุญูุง ุนูุฏูุง straw
167
00:14:25,960 --> 00:14:32,060
ูุฏูู
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00:14:32,890 --> 00:14:38,970
ูุฐุง ููู ุจูุณู
ูู trust ููุฐู ุงููู ุจูุณู
ููุง ุงู tie ุทูุน
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00:14:38,970 --> 00:14:45,070
ุนูู ุญุงุฌุฉ ุซุงููุฉุ ูู ุฌูุจุช ูุฐู ูููุง ู
ูุฌูุฏุฉ ุนูุฏูุง ุงู
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00:14:45,070 --> 00:14:49,830
raft ุชุจุน ุงููุชุจุ ู
ุธุจูุทุ ุงู raft ุชุจุน ุงููุชุจุ ุฅูุด
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00:14:49,830 --> 00:14:55,910
ุจูุญุตู ููุ ูุฐุง ูู ุญุทูุช ุงููุชุจ ุนูู ูุฐุงุ ุฅูุด ุจูุญุตู
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00:14:55,910 --> 00:15:01,210
ููุฐุงุ ุชูุทุนุฌุ
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00:15:01,210 --> 00:15:08,220
ุจุธุจุทุ ู
ุด ูุฐู ุจุฏูุง ุชูุทุนุดุ ุงูุขู
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00:15:08,220 --> 00:15:12,380
ุทุจูุนู ูู ุฃูุช ุฌุจุช ุญุงุฌุฉ ู
ุด ุฌุงููุฉ ูุนูู ู
ู
ูู ุทุงููุงุช
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00:15:12,380 --> 00:15:15,300
ุงููู
ุจููุชุฑ ุงููู ุจุชุดููููุง ุจุชูุจูุน ูู ุงูุณูู ุงูุชุฌุงุฑู
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00:15:15,300 --> 00:15:20,480
ูุฐู good examples ู
ุธุจูุท ุชุทูุน ุนูููุง ุจุชูุงูู ูุฐู ุนูู
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00:15:20,480 --> 00:15:25,240
ุทูู ุจุชูุทุนุด ุฅูุด ุจูุนู
ููุงุ ุจุฑุจุทูุง ุญุงุฌุฉ ููุง ูู ูุงูุช
178
00:15:25,240 --> 00:15:31,410
ูุฐู ุงุฑุชุจุทุช ู
ู ููู ูุฐุง ุจุณู
ูู tie ููุดุ ูุฃู ูุฐุง ุจููุงูู
179
00:15:31,410 --> 00:15:36,770
ููุดุฏ ููุฐุง ุจูุจูู ุฅูุดุ ุจุงูููุงู
ุงููู ูู ุงูุฏุงุฎูุ ุฃููุฉุ
180
00:15:36,770 --> 00:15:39,810
ูุฐุง ุงููstrap ุงูุขู ูู ุญุทูุช ุญุงุฌุฉ ุซุงููุฉ ุฒู ูุฐู
181
00:15:39,810 --> 00:15:43,930
ูุญุทูุชูุง ุนูู ุงููู ุนูุฏู ุชุญุชุ ุฅูุด ูุฐู ุตุงุฑุชุ ูุฐู
182
00:15:43,930 --> 00:15:49,510
ุงููstrap ููุฐู ุงููtie ูุฐุง ุงู frame ุงูุขูุ ูุฐู ุงูุดุฌุฉ
183
00:15:49,510 --> 00:15:53,790
ุฅูุด ุจูุญุตู ููุงุ ูุฐุฉ will get compressed ูู ุจูู
184
00:15:53,790 --> 00:15:57,630
ุงููุฒูุ ูุชูุถุบุทุ ูุฐู ุงูุดุฌุฉ ุงูุซุงููุฉ ุงููู ุจุฑุง ุฅูุด
185
00:15:57,630 --> 00:16:05,360
ุจูุตูุฑ ููุงุ ุชูุดุฏู
ุธุจูุท ูุฐู ูุชุตุจุญ tension ูุงู ูู ุญุทูุช
186
00:16:05,360 --> 00:16:09,480
ูุฐู ุงูุดูู ูุงู ูุงู ุนูุฏู tension ู ูุงู ุนูุฏู
187
00:16:09,480 --> 00:16:15,220
compression ููุน
188
00:16:15,220 --> 00:16:18,640
ุงูููุฉ ูุฐู ุจุฏูุง ุชุถุบุท ุงููู ูุงู ููุฐุง ุจุฏูุง ุชุณูู ุงููู
189
00:16:18,640 --> 00:16:30,010
ู
ูุฌูุฏ ูุงู ููููุง ุงู tie ู ูุงู ุฅูุดุ ู ูุงู ุงู strut ููู
190
00:16:30,010 --> 00:16:37,690
ูุฐุง ุนูู ุจุนุถู ุจูุณู
ูู ุฅูุดุ ุงู trust ุฃู ุงู frame ูููุณุ
191
00:16:37,690 --> 00:16:40,970
ุทูุจ
192
00:16:40,970 --> 00:16:46,990
ููุฌู ุงูุขู complete the explanation using words and
193
00:16:46,990 --> 00:16:50,970
expression from a ุงูุฃูู ููุฑุฉ you will need to
194
00:16:50,970 --> 00:16:55,320
change the form of one word ุงูุขู ุฃูุง ุญุงุทุท ููุง ุฃุฌูุจุฉ
195
00:16:55,320 --> 00:16:59,580
ู
ุด ุญุงุทุท ููุง ุณูุงุก ุนูู ุทูู ูุฐุง ุงูู
ูุฑูุถ ุญุงุทุท ููุง
196
00:16:59,580 --> 00:17:06,640
ุญุฑูุฉ ุนุดุงู ุชุฎุชูู and it's statically determined
197
00:17:06,640 --> 00:17:11,420
structure each load acting on this structure is
198
00:17:11,420 --> 00:17:19,780
ุฅูุดุ ููู ู
ูุฌูุฏุฉ counteracted ุฃุธุจุท counteracted by
199
00:17:19,780 --> 00:17:25,650
ุฅูุดุ a reaction ุงูุขู ุนูุฏู statically determinate
200
00:17:25,650 --> 00:17:30,450
ุฅูุด ูููููุง ุงู statically determinateุ ูุนูุฏ ุนูููุง
201
00:17:30,450 --> 00:17:34,570
ุชุฃููุฏ ุนุดุงู ุฃุฌู ู ู
ุชุฃุฎุฑ ุงู statically determinate
202
00:17:34,570 --> 00:17:38,090
structure ุงููู ูู ุงู structure is in equilibrium
203
00:17:38,090 --> 00:17:42,710
and does not move ู
ุธุจูุท ุงูุขู ุงู equilibrium ุฅูุด
204
00:17:42,710 --> 00:17:48,540
ุนูุฏูุ ุนูุฏู load ุฃู forces ู ูู ุนูุฏู counter force ุฃู
205
00:17:48,540 --> 00:17:52,800
load ุนูุฏูุง ูู
ุง ุฅุซููู ูุจููุง ู
ุชุณุงูููู ูู
ุชุนุงูุณูู ูู
206
00:17:52,800 --> 00:17:57,880
ุงูุงุชุฌุงู in opposite direction equally in the
207
00:17:57,880 --> 00:18:01,460
magnitude is equal and the direction is opposite
208
00:18:01,460 --> 00:18:06,540
ูุฐุง ุจูููู it's under equilibrium ุงููู ูู ูู ู
ุฑุญูุฉ
209
00:18:06,540 --> 00:18:11,280
ุงุชุฒุงู ูุฐุง ุงููู ุจูุญูู ุนูู this means the structure
210
00:18:11,280 --> 00:18:13,460
always remain in equilibrium
211
00:18:16,650 --> 00:18:21,330
ุงูุขู ุฅุทูุน ุนูุฏู ููุง ุฅูุด ู
ูุฌูุฏ ุนูุฏูุ ูู ุงู trust
212
00:18:21,330 --> 00:18:26,170
ุงููู ู
ูุฌูุฏ ุนูุฏู ููุง ุฅูุด ุนูุฏูุ forces ูู ุญุทูุช ู
ุซูุงู
213
00:18:26,170 --> 00:18:30,470
ููุง ูุบุงูุฉ loads from three supports carrying a
214
00:18:30,470 --> 00:18:34,690
large satellite dish ูุฏูู ุงู forces ุฌุงู ู
ู ุชูุงุช
215
00:18:34,690 --> 00:18:39,520
ุฃู
ุงูู ู
ุญู
ูู ุนูููู
satellite dish ูุนูู ูุงุฏ ุฌุงู ุนูู
216
00:18:39,520 --> 00:18:43,500
ูููุ ุนูู ุงูุณุทุญ ุงููู ูุงุฏ ุงูุขู ููุทุฉ ุงู result sense
217
00:18:43,500 --> 00:18:48,600
ุชุจุนูู
ูููุ ูุงุฏ ุชููู ูุงุฏ ุงูุขู ูุฐุง ุจูููู to analyze
218
00:18:48,600 --> 00:18:52,520
ุฏุฑูู structure shown in diagram one and engineer
219
00:18:52,520 --> 00:18:56,220
draw diagram two ุงูุขู diagram two for analysis
220
00:18:56,220 --> 00:19:01,640
purposes ูุนูู ููุฏู ุงูุชุญููู to help make some
221
00:19:01,640 --> 00:19:06,480
initial simple calculation In diagram two, the
222
00:19:06,480 --> 00:19:09,440
engineer uses the following assumption and
223
00:19:09,440 --> 00:19:16,880
information The three component forces from
224
00:19:16,880 --> 00:19:20,420
loads
225
00:19:20,420 --> 00:19:26,020
act as a single resultant ู
ุญุตูุฉ ู
ุธุจูุท ูู ุงู
226
00:19:26,020 --> 00:19:30,420
diagram ุงุซููู ูุฐู ุตุงุฑุช ุชูุงุชุฉ ูุงุญุฏุฉ ููู ุจุนู
ููู
ุ ุจุฌูุจ
227
00:19:30,420 --> 00:19:34,220
ุงูู
ุญุตูุฉ ุชุจุนุชูู
resultant force in the top of the
228
00:19:34,220 --> 00:19:39,560
frame all joints in the frame are ุฅูุด ุณู
ูุงูู
ูุฏูู
229
00:19:39,560 --> 00:19:46,780
ุงู joints ูุฏููุฉ flexible ููุง rigidุ flexible ูู ุฃูุง
230
00:19:46,780 --> 00:19:53,620
ุถุบุท ุนูููู
ุจุชุญุฑููุง ู
ุธุจูุท ูู ูุฏู ูุณู
ูู ุฅูุดุ pin
231
00:19:53,620 --> 00:20:00,260
joints ุงู joints ูููุง ุงูู
ูุตู ุงู pin ุงููู ูู ู
ูุตู
232
00:20:00,260 --> 00:20:06,220
flexible flexible joints can flex so the frame
233
00:20:06,220 --> 00:20:13,240
behaves as ุฅูุด ูููุงุ truss ู
ุธุจูุท ุงูุขู ุงููู ูููุง ุงู
234
00:20:13,240 --> 00:20:17,380
trust ุงููู ูู ุฅูุดุ ุนูุฏู frame with flexible joint
235
00:20:17,380 --> 00:20:25,900
ุฃู pin joint ู
ุด rigid ุงููู ุนูุฏู ุฏู ุฅูุดุ of ุฏุฑูู
236
00:20:25,900 --> 00:20:32,000
structure ุญุงุฌุฉ ู
ู ุชูุช ููู
ุงุช the center of a
237
00:20:32,000 --> 00:20:36,700
gravity of ุฏุฑูู structure shown in red ุงููู ุฃูุชู
238
00:20:36,700 --> 00:20:39,880
ุดุงููููู ููุง not including the satellite dish is
239
00:20:39,880 --> 00:20:43,880
exactly halfway between the two supports ูุนูู ุงููู
240
00:20:43,880 --> 00:20:48,500
ูู ูู ุงููุต ุฃุฌุง ูุงู
241
00:20:48,500 --> 00:20:56,500
ุงูุฎู
ุณุฉ ุงูุขู in diagram two which of the members
242
00:20:56,500 --> 00:21:02,140
are ties and which are struts ุงููู ููุง ุงู a ูุฐู
243
00:21:02,140 --> 00:21:10,040
ุฅูุด ููุ ูุฐู Straight ูุฏู Straight ูุฏู Tie ูุฏูู
244
00:21:10,040 --> 00:21:14,700
ุงูุดุบูุงุช ุจุฏููุง ุชุนุฑูููุง ูุฃู ูุฏู ู
ู ุงูุดุบูุงุช ุงูุณููุฉ
245
00:21:14,700 --> 00:21:21,080
ุทูุจ choose the correct word from the bracket to
246
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complete the sentences ุจุฏูุง ุงูููู
ุฉ ุงูุตุญู traces
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are frameworks or ties ุฅูุด ุงู trace framework with
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ุฅูุด ูููู ูู ุฏู flexible ุฃู joint ุฃู pin jointsุ
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ู
ุธุจูุทุ ุทูุจ ุงู connection between members which
250
00:21:43,850 --> 00:21:50,190
flexes is calledุ pin joint ู
ุด rigidุ ูููุณุ struts
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are designed to resist compression ููุง tension?
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compression ุทูุน ุนูุฏ ุงู tie ุฅูุดุ ุงู tie ุงููู ูู
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ุนู
ููุฉ ุงู ุฅูุดุ ุงู tensionุ ุฃููุฉ ูุฐู ุนู
ููุฉ ุงู tension
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ุจูุณู
ููุง ุงู tie ู ุงู compression ุงู stress ู ุงู
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trust ุงููู ูู ุจูุญู
ู ุงูุชูุชูู ูููุณ by adding cross
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00:22:16,650 --> 00:22:20,490
member frames is embraced ููุง being joined making
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it stiffer embraced embraced ุงููู ูู ุฅูุด ูููุง ุนููุง
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embraced ุงููู ูู ูู
ุง ูููู ุนูู ุฅูุด ุจูุนู
ูููุง stiffen
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ู brace ููุณ ุงูุดูุก ูู
ุง ูุนู
ู ุงู stiffen ูุงู ุทูุจ ุงูุขู
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ุฏู ุจูุทูุน ุงุญูุง ุฅูุด ุงููู ู
ุฑ ุนูููุง ุงูููู
ุงุช ูู ููุง
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ุงุชููู
ูุง ูู ุงู chapter ูุงู ุนูู ุงู structural
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mechanics ุชููู
ูุง ููู ุนูู .. ุฃููุง ูููุง ูู
ุง ุงู frame
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ุงููู ุนูุฏู is statically determinant structure ุฅูุด
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ู
ุนูุงุชูุ ุงู structure is under equilibrium and not
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moving ุทุจ ูู
ุง ูููู under equilibrium ุฅูุด ุงููู
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ุนูุฏูุ ุนูุฏู two different forces ุฃู two different
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loads of equal magnitude and opposite direction act
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ุนูู ุงู frame ุงูู
ูุฌูุฏ ููุง ุงูุฃู ุงุชููู
ูุง ุจุฑุถู ุนูู
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ุญุงุฌุฉ ุชุงููุฉ ุจุนุฏูุง ูุฐุง ุงุชููู
ูุง ุนูู ุงูุฌุฒุฆูุฉ ูุฐู ุงู
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gravity ู ุงู center of gravity ุงู gravity ูู ุฅุญุฏู
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ุงู forces ุจุชุฃุซุฑ ุนูู ูู ุดูุก ู ุฏุงุฆู
ุง ุงุญูุง ุจุชููู
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downward ู ู
ู
ูู ุฃูุชู
ุจุชุนุฑูููุง ููู ุชุญุณุจููุง ุงููู ูู
273
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ุจุชุณุงูู M ูู G ู
ุธุจูุทุ ุฃููู ููู
ูู ุงูููุฒูุงุก ู
ุฑุช
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ุนููููุง ุงู G ุงููู ูู A ุงู A ุงููู ูู ุจุณ ูู ุงู .. ูู
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ุงู gravity ูุฏู ุจุชุณุงููุ ุชุณุนุฉ point ุซู
ุงููุฉ ูุงุญุฏ
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meter squared per second ู
ุธุจูุท ุฃู meter per second
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squared ุงูุขู ุงููู ุนูุฏู ูุฐู ุงููู ุจูุชุทูุน ุนูููุง ุงูุขู
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00:24:12,520 --> 00:24:18,520
ูู
ุง ููุฌู ุจุนุฏ ููู ุงุชููู
ูุง ุนูู ุงู structure with
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00:24:18,520 --> 00:24:22,280
different joint ูููุง ุงู joints ูู
ุง ุชููู flexible
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00:24:22,280 --> 00:24:27,780
ุจูุณู
ููุง pin joint ู ูู
ุง ุชุจูู hard ุฃู solid ุจูุณู
ููุง
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00:24:27,780 --> 00:24:33,000
ุฅูุด rigid joints ุงูุขู ุงุชููู
ูุง ุนูู ุงู structure ุชุจุนู
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00:24:33,000 --> 00:24:37,440
ุฏู ุงู structure ุงูู
ูุฌูุฏ ุนูุฏู with flexible ุฃู ุจูู
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00:24:37,440 --> 00:24:43,680
joint ุณู
ูุงู traces ุฃู trace ุงูุขู ุงููู ุนูุฏู ูู ุงู
284
00:24:43,680 --> 00:24:48,940
trace ุนูุฏู ููู member ุฏู ุงู member members resist
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00:24:48,940 --> 00:24:53,840
compression ุณู
ูุงูู
ุฅูุดุ stress ู ุฏู ุนู
ููุง
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00:24:53,840 --> 00:25:00,670
resisting ูู tension ุณู
ูุงูู
ุฅูุดุ tie ููุฐุง ุฎูุตูุง
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