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ุงูุณูุงู
ุนูููู
ุงูููู
ุณูู ูุชุญุฏุซ ุนู ู
ููุงูููุง ุฃุณุทูุฑูุฉ
2
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ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32
3
00:00:42,550 --> 00:00:42,550
ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32
4
00:00:42,550 --> 00:00:42,630
ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32
5
00:00:42,630 --> 00:00:42,710
ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32
6
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ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32
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ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 33 ุญุฏุซ 33 ุญุฏุซ 33
8
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ุญุฏุซ 33 ุญุฏุซ 34 ุญุฏุซ 34 ุญุฏุซ 34 ุญุฏุซ 35 ุญุฏุซ 35 ุญุฏุซ 35
9
00:00:43,250 --> 00:00:48,850
ุญุฏุซ 35 ุญุฏุซ 35 ุญุฏุซ
10
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ู
ูุชุจ ุดููู ุงูู ุงูููุงู
ุงูู
ูุถู ุงู ูุฏ ูููู ู
ูุถู ุงู
11
00:00:59,000 --> 00:00:59,400
ู
ูุถู ุงู ู
ูุถู ุงู ู
ูุถู ุงู ู
ูุถู ุงู ู
ูุถู ุงู ู
ูุถู ุงู
12
00:00:59,400 --> 00:00:59,980
ู
ูุถู ุงู ู
ูุถู ุงู ู
ูุถู ุงู ู
ูุถู ุงู ู
ูุถู ุงู ู
ูุถู ุงู
13
00:00:59,980 --> 00:01:00,440
ู
ูุถู ุงู ู
ูุถู ุงู ู
ูุถู ุงู ู
ูุถู ุงู ู
ูุถู ุงู ู
ูุถู ุงู
14
00:01:00,440 --> 00:01:01,420
ู
ูุถู ุงู ู
ูุถู ุงู ู
ูุถู ุงู ู
ูุถู ุงู ู
ูุถู ุงู ู
ูุถู ุงู
15
00:01:01,420 --> 00:01:04,920
ู
ูุถู ุงู ู
ูุถู ุงู ู
ูุถู ุงู ู
ูุถู ุงู ู
ูุถู ุงู ู
ูุถู ุงู
16
00:01:04,920 --> 00:01:12,400
ู
ูุถู ุงู ู
ูุถู
17
00:01:12,400 --> 00:01:16,740
ุงู ู
ูุถ
18
00:01:17,890 --> 00:01:23,750
frames and trusses ุงู frame ุงููู ูู ุงูุด ุงู ูููู ู
19
00:01:23,750 --> 00:01:26,850
ุงู truss ุงููู ุนุงุฑูููู ุงููู ุงุญูุง ุจูุณู
ูู ุจุงูุนุงู
ูุฉ ุงู
20
00:01:26,850 --> 00:01:31,990
truss ุงูุด ุงู truss ุงูุญูู ูู
ุง ุงูุช ู
ุดู ุงูุช ูู ู
ู
ุฑ
21
00:01:31,990 --> 00:01:39,070
ุงูุด ุจุชูุงูู ุงู ุจูููู ุงูุด ุงููู ูุง ุจูุณู
ูู truss ุงูุงู
22
00:01:39,070 --> 00:01:46,000
ุณูู ุงููุฑู
ูุฏ ุงููู ูู ุญุงุฌุฉ ุจูุณู
ููุง ุฏู ุงู trussุงููู
23
00:01:46,000 --> 00:01:50,140
ูู ุงูุญู
ุงูุฉุ ููุชููู
ุนูู .. ูุดูุฉ ูุง ุงูุช .. ูุฃ ูุฃ ู
ุด
24
00:01:50,140 --> 00:01:56,500
ุงููุดูุฉ .. ูู ุฏู .. ููุชููู
ุนููุงุ ูุงุชุฌูุฌูุด .. ุงูุขู
25
00:01:56,500 --> 00:01:57,940
ูู
ุง ูุชููู
ุนูู ..
26
00:02:02,380 --> 00:02:06,860
Statically determinate structure when a structure
27
00:02:06,860 --> 00:02:11,960
member that is part of the structure is loaded in
28
00:02:11,960 --> 00:02:15,760
certain direction ูุนูู ูู
ุง ูููู ุนูุฏูุง ุงู structure
29
00:02:15,760 --> 00:02:23,240
ู
ุญู
ู ุจุงุชุฌุงู ู
ุนูู ุงู load will cause reaction ูุนูู
30
00:02:23,240 --> 00:02:28,100
ูู ุฃุฌุช ููุฉ ุนูู ุญุงุฌุฉ ููุตูุฑ ุงูููุด ุฑุฏุช ูุนูุงูุงู ุฑุฏุฉ
31
00:02:28,100 --> 00:02:33,020
ุงููุนู ูุฐุง ูุนูู ุงู ุทุงูุฉ ุฃุฎุฑู ู
ุชุณุงููุฉ ูููุถุน ุณุชุนู
ู ูู
32
00:02:33,020 --> 00:02:38,800
ุงูุงุชุฌุงู ุงูู
ุนูุณ ููู ูุนู ุฑุฏ ูุนู ู
ุณุงูุก ูู ุงูู
ูุฏุงุฑ
33
00:02:38,800 --> 00:02:43,400
ู
ุนูุณ ูู ุงูุงุชุฌุงู ูุฐุง ุงููู ุจูุญูููุง ุงู ูู ูููุณ ุงู
34
00:02:43,400 --> 00:02:47,540
reaction will counteract resist the load and stop
35
00:02:47,540 --> 00:02:51,320
the member from moving ูุนูู ูุฐู ุงูููุฉ ูู
ุง ููุฌู
36
00:02:51,320 --> 00:02:58,300
ูุญุทูุง ู
ุด ูุชุฎูู ุงูุฌุณู
ุฃู ุงูุนุถู ูุฐุง ูุชุญุฑูwhen the
37
00:02:58,300 --> 00:03:02,700
loads and reactions acting in members are equal
38
00:03:02,700 --> 00:03:07,700
ูู
ุง ูุฐุง ูููู ุงูุฃุญู
ุงู ูุฑุฏูุฏ ุงูุฃูุนุงู ุชุจุนุชูุง ุฃู
39
00:03:07,700 --> 00:03:13,360
ุงูุชูุงุนู ู
ุนูุง ุงูููุฉ ุงูู
ุถุงุฏุฉ ููุง ู
ุชุณุงููุฉุ ุฅูุด ุงููู
40
00:03:13,360 --> 00:03:17,620
ุจูุญุตูุ we say it is in equilibrium ุนู
ููุฉ ุฅูุดุ
41
00:03:17,620 --> 00:03:23,490
ุงุชุฒูุงูstructures that are designed not to move to
42
00:03:23,490 --> 00:03:26,510
stay in equilibrium are called statically
43
00:03:26,510 --> 00:03:29,690
determined structures ูุนูู ุงููู statically
44
00:03:29,690 --> 00:03:32,210
determined structure ูู
ุงู structure in
45
00:03:32,210 --> 00:03:36,530
equilibrium ูุนูู ุจุชุชุญุฑูุด ูุง ุจุฑูุญ ููุง ุจุชุชุญุฑู ุจุงูููุฉ
46
00:03:36,530 --> 00:03:41,490
ุงููู ุจุชูุถุบุท ุนููู ูุฐุง ุจูููู ุนูู ุฅูุดุ ุฃููุฉ
47
00:03:41,490 --> 00:03:46,250
statically determined structure ูููุณุ
48
00:03:48,330 --> 00:04:02,030
resultant forces and the center of gravity ุนุงุฏุฉ
49
00:04:02,030 --> 00:04:09,030
ุฃู ูููู ุจูุญู
ู
50
00:04:09,030 --> 00:04:16,990
ุฃุญู
ุงู ู
ุฎุชููุฉูู ุณูุงุก ู
ู ูุงุญูุฉ ุงู magnitude ุฃู ู
ู
51
00:04:16,990 --> 00:04:21,130
ูุงุญูุฉ ุงูุงุชุฌุงู ุงููู ุจุชูุฌู ุนููู to calculate the
52
00:04:21,130 --> 00:04:23,830
results of these different components ููุฐุง ุฎุฏุชููุง
53
00:04:23,830 --> 00:04:27,770
ุจุงูููุฒูุง component forces and engineer can
54
00:04:27,770 --> 00:04:32,370
calculate a resultant force or resultants ูุนูู ูู
55
00:04:32,370 --> 00:04:36,750
ุงูุนุงุฏุฉ ุงุญูุง ู .. ุฎุฏุชููุง ุจุงู statistics ูู ุงูุซุงูููุฉ
56
00:04:36,750 --> 00:04:42,890
ุจุงูููุฒูุง ุตุญุููุฒูุง ุงูู ุฃุฎุฏุชูุง ุงูุช ูู ุนูุฏู ููุฉ
57
00:04:42,890 --> 00:04:47,850
ู
ุฎุชููุฉ ุฌุงู ุจุฏุฃ ุฃุฌูุจ ุงูู
ุญุตูุฉ ุชุจุนุชูุง ุจุงุฌูุจ ุญุงุฌุฉ
58
00:04:47,850 --> 00:04:52,070
ุงุชุฌุงู ุงูู
ุญุตูุฉ ูู ุงูุงุชุฌุงู ุงูุนู
ูุฏู ูุงูุนู
ูุฏู ูุงูุฃููู
59
00:04:52,070 --> 00:04:56,250
ูุจุนุฏูู ุจุงุฌูุจ ุงูู
ุญุตูุฉ ุชุจุนุช ุงูุชูุชูู ุชุทูุน ูู ุฃู ุงุชุฌุงู
60
00:04:56,250 --> 00:05:01,230
ุจุณ ูุงุฒู
ุฃุญุฏุฏ ุงูููุทุฉ ุงููู ุนูุฏูุง ุจุชุทูุงู ูู ูุฐู ุงูููุฉ
61
00:05:01,230 --> 00:05:04,210
ุงููู ุจูููู ุงู center of gravity ุฃู ุงู center ุงููู
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00:05:04,210 --> 00:05:11,050
ุนูุฏู ููุฐู ุงูุดุบูุฉone of the main forces exerted in
63
00:05:11,050 --> 00:05:14,810
structure is gravity ุงุญูุง ูู ูู ุดู ูู ุนูุฏูุง
64
00:05:14,810 --> 00:05:17,470
ุงูุฌุงุฐุจูุฉ ุงูุฃุฑุถูุฉ
65
00:05:21,560 --> 00:05:28,900
Okay ุงู gravity this acts vertically downward ุงููู
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00:05:28,900 --> 00:05:33,380
ูู ูุนูู ุนุงุฏุฉ ุงู gravity ุจุชูุฌู ุฅูุด ุนู
ูุฏู ูู ุงุชุฌุงู
67
00:05:33,380 --> 00:05:38,640
ุงูุฃุณูู ูุฐู ู ุฏุงูู
ุง ูุฐู ุจูุญุณุจ ุญุณุงุจูุง ุจุดูู .. ุจุฏู
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ุชุดูู ุงูุชูุงุตูู ุจุชุฑูุญ ุนูู ุงู chapter 9ุงูุฌุงุฐุจูุฉ ุชุชุนุฑุถ
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00:05:43,730 --> 00:05:49,970
ููู ุฏุฑูุฉ ูุฌุงุฐุจูุง ููู ุฅุดู ููู ุฏุฑูุฉ ููุง ุชุชุนุฑุถ
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ููุฌุงุฐุจูุฉ However, to simplify their calculation
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00:05:54,410 --> 00:05:57,410
engineers assumed that gravity exerted an
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00:05:57,410 --> 00:06:01,510
imaginary point called the center of gravity ุงูุขู
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ุงู center of gravity ุงููู ุจูุชููู
ุนููู ูู ููุทุฉ ุฅูุด
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imaginary pointููุฏู ููุทุฉ ูุฑุถูุฉ ุงุญูุง ุจููุฑุถูุง ูู ุนูู
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ุฃุฑุถ ุงููุงูุน ูู ุฌุฒุฆูุฉ ูู ุงูุฌุณู
ุฃู ูู ุถุฑุฑ ุฅููุง ูุฐู ุจุณ
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ุงุญูุง ุจูููู ููู ุจุฏูุง ูููู ูู ูุฐู ููุทุฉ ุงูุฌุงุฐุจูุฉ
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00:06:19,130 --> 00:06:23,370
ุชุจุนุชูุง ุงููู ุจูุชููู
ุนููุงDepending 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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cross-sectional area or outside the cross
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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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ุงูุนุฑุถูุฉ ูู object ุฃู ุชุจูู ุฎุงุฑุฌูุง ููู ุทุจ ููู ุฏู
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ูุชููู ุฎุงุฑุฌูุงุ ุทุงูุน ุนูู ุดูููุง ููุง ุจุณูููุฉ ุจูููู ููู
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ุฌุงูุฉุ ูู ุงููุตููุง ุฌูุง ูููุง ุงุดุทูุนุช ุจุฑุง ููุฐู ุจุชุนุทูู
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example ููู ุงููุง ู
ู
ูู ุชููู ุจุฑุง ุงูุงู
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00:07:02,230 --> 00:07:08,890
ูู
ุง ูุชููู
ุนู ุงู frames and traces ุงู frame is made
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00:07:08,890 --> 00:07:14,330
from a number of relative ten members ุนุงุฏุฉ ุงู
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00:07:14,330 --> 00:07:19,400
frame .. ุฎูููู
ู
ุนุงูุง ูุง ุจูุงุชุงูู frame ูู ุนุจุงุฑุฉ ุนู
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00:07:19,400 --> 00:07:22,920
ุฅูุดุ ุทูุน ุฃูุช ุงูุญู
ุงูุฉ ุงููู ุจุชูุนู
ู ุนูู ุงูุดุจุงูุ ูุฐุง
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ุ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 ุชุจุนูููุ
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ุฅูุด ุจูููู ุนูู ุงูู tinุ ุงุฑูุนุฉexample are bicycle
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00:07:49,140 --> 00:07:54,620
frames ุงูุจุณูุงููุช ุงูุฅุทุงุฑ ุชุจุนุช ุงูุจุณูุงููุช steel frame
95
00:07:54,620 --> 00:08:00,420
building ุงููู ูู ุชุจุนุงุช ุงูุจูุงูุงุช members of a frame
96
00:08:00,420 --> 00:08:04,560
can form a complex shape often with many triangles
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00:08:04,560 --> 00:08:09,620
called lattices ุงูุขู ุนุงุฏุฉ ููููู ุงู frame ููู ุฅูุด
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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
ูุงูุชุงููุฃุจูุงุก ุชููููุง ู
ุนุงู ุจุฏูู ุตูุช ุฌุงูุจู ูุฐุง
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00:08:23,790 --> 00:08:27,990
frame ูู ุฌูุช ุถุบุทุช ุนููู ุฅูุด ุงู frame ูุฐุง ุจุฏู ูุญุตู
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ููุ ุจุณููุดุ ุจุงูุทุนุดุ ู
ุธุจูุท ูุฐุง ุจูุตูุฑ .. ุจุชูุงููู ุนูู
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00:08:35,470 --> 00:08:41,030
ุทูู ุจูุญุตูุ ู
ุธุจูุทุ ูุฃุฏุนู
ู ุฅูุด ุจุนู
ูุ ูู ุญุทูุช ู
ูุชูุฉ
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ุชุงุนุช ููุง ุฅูุด ุจูุญุตู ููุ ุจุชุฌูููุฐุง ุงููุตุฏ ููู ุงููู
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00:08:49,360 --> 00:08:53,460
ุนูุฏูุ ุงูุขู ูุฐู ูู simple structureุ structure
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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 ุฅูุดุ
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00:09:01,520 --> 00:09:05,220
ุงู structure ุงููู .. ุงููู ู
ูุฌูุฏ ุนูุฏู
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Okay members of the frame can form a complex shape
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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 ูู ุงู triangular shape the advantage of
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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 ุงู aid ู
ุดุฏูุฏุฉ stiff armููุฏููุฉ ุจูุนู
ููุง
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00:09:47,610 --> 00:09:50,650
ุงูุญุฏูุฏ stiff ูุนูู ุฅูุดุ ุงู stiff arm ุชูุทุน ุฌูุด
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00:09:50,650 --> 00:09:55,770
ู
ู
ุฏูุฏุฉ ู
ุดุฏูุฏุฉ ู
ุด ู
ุทุนูุฌุฉ ููู ูู
ุง ุชุญุทููุง ุฒู ูููุฉ ู
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ุจุชุฒุฌู ุญุฏ ูู ูุงูุช ู
ุชููุฉ ู ุจุชุฒุฌู ุญุฏ ูู ููู force
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00:09:59,990 --> 00:10:03,910
ุจูุฌูุด ุจุงูุณูุงุฑุฉ ุชูุชูู ุจุณ ูู ูุงูุช ุฒู ูููุฉ ู
ุงุญุฏุด
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00:10:03,910 --> 00:10:10,190
ุงูุชุงููุฉ ุตุนุจุฉ ููุฐู ุงูููุฑุฉ ูู ุงู stiff they strongly
120
00:10:10,190 --> 00:10:15,130
resist deformation ูุนูู ุชูุฏุฑูุด ุงูุชุดูู ุงููู ุนูุฏู
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00:10:19,330 --> 00:10:25,030
ุฃูุช ูู ุงู .. ูู ุงูู
ุนูู .. ูู ุงูู
ุนูู ุงูุณูุจู .. ุฃู
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00:10:25,030 --> 00:10:30,310
ุงุณุชูู ุงูุดุฎุต ุงููู ุจุชูุงููู ุฃุญูุงูุง ุจูููู ุนูู ุงููู
123
00:10:30,310 --> 00:10:38,310
ุจูุบูุฑุดูุนูู ู
ุฎ ู ุจูู ุฒู ููู ุจุณ ูู ุงู .. ุจุฑุถู ูู
124
00:10:38,310 --> 00:10:42,290
ุงููุบุฉ ุงูุนุงู
ูุฉ ุงูู
ูุฌูุฏุฉ ุงู stiff ุฃูุชุฑ ุฃุดู ุจูุณู
ููุง
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00:10:42,290 --> 00:10:46,170
ุงู stiff arm ุงููู ูู ุฅูุด ุงูุฅูุฏ ุงูู
ู
ุฏูุฏุฉ ุงููู ุจุชุฎูู
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00:10:46,170 --> 00:10:51,570
ู
ุณุงูุฉ ุจูู ุงูุฃุดุฎุงุต ูุงู stiff ูุนูู ุจุชุนู
ูุด ุฃูู ูุนูู
127
00:10:51,570 --> 00:10:55,930
ุฎูููุง ูููู ู lean ุจุช lean ุฃู ุจุชุบูุฑุด ุดูููุง ูุฐุง ุงู
128
00:10:55,930 --> 00:11:01,720
..ุงููู ุจูุญูู ูููุง ุงูู triangular ุงู symbols can
129
00:11:01,720 --> 00:11:06,180
therefore be used to stiffen or brace a structure
130
00:11:06,180 --> 00:11:11,440
ูุนูู ูุชููู ุงู structure ุฃู ูุชุฏุนู
ุงู structure ูุฐุง
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00:11:11,440 --> 00:11:16,300
ุงููุฏู ู
ููุง ุงู diagram two ุงููู ูุชุดูููู ุงู
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00:11:16,300 --> 00:11:19,280
structure ุฏู ููู ุงููู ุดูููุงูุง because the joints
133
00:11:19,280 --> 00:11:22,760
between the ten members are weak ุงู joints ุงููู ูู
134
00:11:22,760 --> 00:11:28,130
ุฅูุด ูุฐู ุจูุณู
ููุง jointุฃููุฉ ูุฐู ุจูุณู
ููุง joints ูุฏูู
135
00:11:28,130 --> 00:11:34,210
ุงู joints ุงูุฑูุจ ู ูุฏูู ูุฐู ุงูู
ูุงุตู ูู ุงูู
ูุตู
136
00:11:34,210 --> 00:11:39,950
ุงูู
ูุตู ุงูุฒูุงูุง ุชุนุฏ ุงูุด ู
ูุงุตู ุงูุชูุงุก ุงู ุฌุณู
ุงู
137
00:11:39,950 --> 00:11:46,470
ุญุงุฌุชูู ุจูุณู
ููุง ู
ูุตู ูุนูุง ููุนูู ู
ู ุงูู
ูุงุตู ู
ูุงุตู ุฒู
138
00:11:46,470 --> 00:11:51,090
ุงุญูุง ุงุฏููุง ู ุฑุฌูููุง ูุฏูู ุงูุด ุจูุณู
ููุง ูููุฉ ุจุชุฎูู
139
00:11:51,090 --> 00:11:58,360
ุญุฑูุฉู ูู ู
ูุงุตู ู
ุด ูููุง ุฒู ุงูู
ูุฌูุฏ ููุง ูุฐู ุจูุณู
ููุง
140
00:11:58,360 --> 00:12:05,840
solid joints ููุฐู ุจูุณู
ููุง pin joint ุงู pin joint
141
00:12:05,840 --> 00:12:09,780
ุงููู ูู flexible ูู flexibility ูููุง ููุฐู ููุชููู
142
00:12:09,780 --> 00:12:15,850
ุนููุง ูู
ุงู ุณุงุทุฑููare weak and can flex easily flex
143
00:12:15,850 --> 00:12:20,530
ุฃูุด ูุนูู ุจุชุชุญุฑู ุจุณุฑุนุฉ joints which flex because
144
00:12:20,530 --> 00:12:23,370
they are weak or because they are designed to do
145
00:12:23,370 --> 00:12:28,090
so ุงููู ูู ู
ุตู
ู
ุฉ ุฒู ุงูู
ูุงุตู ุงูุฅูุณุงู ู
ุตู
ู
ุฉ ุงููุง
146
00:12:28,090 --> 00:12:33,610
ุชุชุญุฑู ุชููู flexible are called bend joints ูุนุฑูุชูุง
147
00:12:33,610 --> 00:12:38,110
ุฅูุด ุงู bend jointsุุงููู ุจุชุชุญุฑู ุงูุงู ุงูููุน ุงูุชุงูู
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00:12:38,110 --> 00:12:42,830
ูู lattices which are entirely bent joint and
149
00:12:42,830 --> 00:12:45,810
which therefore need cross members to stiffen them
150
00:12:45,810 --> 00:12:50,350
are called traces ุงู traces ุงููู ูู ุฅูุด ุจุฏูู
ุฏุนู
151
00:12:51,560 --> 00:12:55,760
ุงูู trust contain two types of members, members
152
00:12:55,760 --> 00:13:00,140
that resist tension are called ties ูู ุนูุฏู ุญุงุฌุงุช
153
00:13:00,140 --> 00:13:07,680
ุจูุงูู
ุงูุดุฏ ุจูุณู
ููู
ties ููู ุญุงุฌุงุช ุจุชูุงูู
ุงูุงุดุงูู
154
00:13:07,680 --> 00:13:10,460
compression ุงููู ุจุชูุงูู
ุงู compression which
155
00:13:10,460 --> 00:13:14,000
members that resist compression are called struts
156
00:13:14,000 --> 00:13:18,340
ุงูู struts ุงููู ูู ุจุชูุงุฑู ุงู compression ุงู ties
157
00:13:18,340 --> 00:13:23,060
ุงููู ูู ุจุชูุงุฑู ุงู tension ุงูุดุฏ a joint which does
158
00:13:23,060 --> 00:13:27,520
not flex is called a rigid joint rigid ุงู solid
159
00:13:27,520 --> 00:13:34,140
ุงููู ูู ุงูุด ุจุชุชุญุฑูุด or moments connectionrigid
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00:13:34,140 --> 00:13:37,780
joints are often thick and securely joined for
161
00:13:37,780 --> 00:13:43,200
example by weld ุงูุด ุ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
163
00:13:48,620 --> 00:13:53,520
ุงูุญุงู
ุนู
ููุฉ ุงูุญุงู
ุงููู ูู ุงู weld ุงูุขู ุงุชุทูุน ุนูุฏู
164
00:13:53,520 --> 00:14:00,060
ุชุชุฐูุฑูุง ุณุฌูู ุงููุฑู
ูุฏุ ุดูุชููู
ุงูุด ุงูุดูู ุชุจุน ุงูุญุงู
165
00:14:00,060 --> 00:14:05,600
ุงููู ุชุจุนูุ ุฒู ููู ู
ุธุจูุทุุงูุงู ูู ุถุบุทุช ูุฐู joint
166
00:14:05,600 --> 00:14:09,240
ุจูุณู
ููุง pin joint ูู ุถุบุทุช ุนูููุง ุงูุด ุจูุญุตู ูู ูุฏูู
167
00:14:09,240 --> 00:14:16,120
ูุฏููุฉ ุจุฏูุง ุชูุฑุฏ ุงู ูุฏููุฉ ุงูุด ุจุฏูู
ูุณููุง ุงูุงู ูู
168
00:14:16,120 --> 00:14:20,760
ุฑุจุทุชูู
ุจุญุงุฌุฉ ู
ู ููุง ุญุทูุช ุดููุฉ ุฎุดุจ ุงู ุญุงุฌุฉ ุจูุฐู ูุฐู
169
00:14:20,760 --> 00:14:25,960
ุจุณู
ููุง ุงููู ุดูุชููุง ุงูุด ูููููุง ุงุญูุง ุนูุฏูุง straw
170
00:14:25,960 --> 00:14:32,060
ูุฏูู
171
00:14:32,890 --> 00:14:38,970
ูุฐุง ููู ุจูุณู
ูู trust ููุฐู ุงููู ุจูุณู
ููุง ุงู tie ุทูุน
172
00:14:38,970 --> 00:14:45,070
ุนูู ุญุงุฌุฉ ุชุงููุฉุ ูู ุฌูุจุช ูุฐู ูููุง ู
ูุฌูุฏุฉ ุนูุฏูุง ุงู
173
00:14:45,070 --> 00:14:49,830
raft ุชุจุน ุงููุชุจุ ู
ุธุจูุทุ ุงู raft ุชุจุน ุงููุชุจุ ุฅูุด
174
00:14:49,830 --> 00:14:55,910
ุจูุญุตู ููุ ูุฐุง ูู ุญุทูุช ุงููุชุจ ุนูู ูุฐุงุ ุฅูุด ุจูุญุตู
175
00:14:55,910 --> 00:15:01,210
ููุฐุงุ ุชูุทุนุฌุ
176
00:15:01,210 --> 00:15:08,220
ุจุธุจุทุู
ุด ูุฐู ุจุฏูุง ุชูุทุนุดุ ุงูุงู
177
00:15:08,220 --> 00:15:12,380
ุทุจูุนู ูู ุงูุช ุ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
179
00:15:15,300 --> 00:15:20,480
ูุฐู good examples ู
ุธุจูุท ุชุทูุน ุนูููุง ุจุชูุงูู ูุฐู ุนูู
180
00:15:20,480 --> 00:15:25,240
ุทูู ุจุชูุทุนุด ุงูุด ุจูุนู
ููุงุ ุจุฑุจุทูุง ุญุงุฌุฉ ููุง ูู ูุงูุช
181
00:15:25,240 --> 00:15:31,410
ูุฐู ุงุฑุชุจุทุช ู
ู ููู ูุฐุง ุจุณู
ูู tie ููุดุูุฃู ูุฐุง ุจููุงูู
182
00:15:31,410 --> 00:15:36,770
ููุดุฏ ููุฐุง ุจูุจูู ุงูุดุ ุจุงูููุงู
ุงููู ูู ุงูุฏุงุฎูุ ุงููุฉุ
183
00:15:36,770 --> 00:15:39,810
ูุฐุง ุงููstrap ุงูุขู ูู ุญุทูุช ูุงุฌุฉ ุชุงููุฉ ุฒู ูุฐู
184
00:15:39,810 --> 00:15:43,930
ูุญุทูุชูุง ุนูู ุงููู ุนูุฏู ุชุญุชุ ุงูุด ูุฐู ุตุงุฑุชุ ูุฐู
185
00:15:43,930 --> 00:15:49,510
ุงููstrap ููุฐู ุงููtie ูุฐุง ุงู frame ุงูุขูุ ูุฐู ุงูุดุฌุฉ
186
00:15:49,510 --> 00:15:53,790
ุฅูุด ุจูุญุตู ููุงุ ูุฐุฉ will get compressed ูู ุจูู
187
00:15:53,790 --> 00:15:57,630
ุงููุฒูุ ูุชูุถุบุทุ ูุฐู ุงูุดุฌุฉ ุงูุชุงููุฉ ุงููู ุจุฑุง ุฅูุด
188
00:15:57,630 --> 00:16:05,360
ุจูุตูุฑ ููุงุ ุชูุดุฏู
ุธุจูุท ูุฐู ูุชุตุจุญ tension ูุงู ูู ุญุทูุช
189
00:16:05,360 --> 00:16:09,480
ูุฐู ุงูุดูู ูุงู ูุงู ุนูุฏู tension ู ูุงู ุนูุฏู
190
00:16:09,480 --> 00:16:15,220
compression ููุน
191
00:16:15,220 --> 00:16:18,640
ุงูููุฉ ูุฐู ุจุฏูุง ุชุถุบุท ุงููู ูุงู ููุฐุง ุจุฏูุง ุชุณูู ุงููู
192
00:16:18,640 --> 00:16:30,010
ู
ูุฌูุฏ ูุงู ููููุง ุงู tie ู ูุงู ุงูุด ู ูุงู ุงู strutููู
193
00:16:30,010 --> 00:16:37,690
ูุฐุง ุนูู ุจุนุถู ุจูุณู
ูู ุฅูุด ุงู trust ุฃู ุงู frame ูููุณุ
194
00:16:37,690 --> 00:16:40,970
ุทูุจ
195
00:16:40,970 --> 00:16:46,990
ููุฌู ุงูุขู complete the explanation using words and
196
00:16:46,990 --> 00:16:50,970
expression from a ุงูุฃูู ููุฑุฉ you will need to
197
00:16:50,970 --> 00:16:55,320
change the form of one wordุงูุงู ุงูุง ุญุงุทุท ููุง ุฃุฌูุจุฉ
198
00:16:55,320 --> 00:16:59,580
ู
ุด ุญุงุทุท ููุง ุณูุงุก ุนูู ุทูู ูุฐุง ุงูู
ูุฑูุถ ุญุงุทูุช ููุง
199
00:16:59,580 --> 00:17:06,640
ุญุฑูุฉ ุนุดุงู ุชุฎุชูู and it's statically determined
200
00:17:06,640 --> 00:17:11,420
structure each load acting on this structure is
201
00:17:11,420 --> 00:17:19,780
ุฅูุดุ ููู ู
ูุฌูุฏุฉ counteracted ุฃุธุจุท counteracted by
202
00:17:19,780 --> 00:17:25,650
ุฅูุดุa reaction ุงูุงู ุนูุฏู statically determinate
203
00:17:25,650 --> 00:17:30,450
ุงูุด ูููููุง ุงู statically determinate ูุนูุฏ ุนูููุง
204
00:17:30,450 --> 00:17:34,570
ุชุฃููุฏ ุนุดุงู ุฃุฌู ู ู
ุชุฃุฎุฑ ุงู statically determinate
205
00:17:34,570 --> 00:17:38,090
structure ุงููู ูู ุงู structure is in equilibrium
206
00:17:38,090 --> 00:17:42,710
and does not move ู
ุธุจูุท ุงูุงู ุงู equilibrium ุงูุด
207
00:17:42,710 --> 00:17:48,540
ุนูุฏู ุนูุฏู load ุงู forces ู ูู ุนูุฏู counter forceุฃู
208
00:17:48,540 --> 00:17:52,800
load ุนูุฏูุง ูู
ุง ุงุชููู ูุจููุง ู
ุชุณุงูููู ูู
ุชุนุงูุณูู ูู
209
00:17:52,800 --> 00:17:57,880
ุงูุงุชุฌุงู in opposite direction equally in the
210
00:17:57,880 --> 00:18:01,460
magnitude is equal and the direction is opposite
211
00:18:01,460 --> 00:18:06,540
ูุฐุง ุจูููู it's under equilibrium ุงููู ูู ูู ู
ุฑุญูุฉ
212
00:18:06,540 --> 00:18:11,280
ุงุชุฒุงู ูุฐุง ุงููู ุจูุญูู ุนูู this means the structure
213
00:18:11,280 --> 00:18:13,460
always remain in equilibrium
214
00:18:16,650 --> 00:18:21,330
ุงูุงู ุงุชุทูุน ุนูุฏู ููุง ุงูุด ู
ูุฌูุฏ ุนูุฏูุ ูู ุงู trust
215
00:18:21,330 --> 00:18:26,170
ุงููู ู
ูุฌูุฏ ุนูุฏู ููุง ุงูุด ุนูุฏูุ forces ูู ุญุทูุช ู
ุซูุง
216
00:18:26,170 --> 00:18:30,470
ููุง ูุบุงูุฉ loads from three supports carrying a
217
00:18:30,470 --> 00:18:34,690
large satellite dish ูุฏูู ุงู forces ุฌุงู ู
ู ุชูุงุช
218
00:18:34,690 --> 00:18:39,520
ุงู
ุงููู
ุญู
ูู ุนูููู
satellite dish ูุนูู ูุงุฏ ุฌุงู ุนูู
219
00:18:39,520 --> 00:18:43,500
ูููุ ุนูู ุงูุณุทุญ ุงููู ูุงุฏ ุงูุงู ููุทุฉ ุงู result sense
220
00:18:43,500 --> 00:18:48,600
ุชุจุนูู
ูููุ ูุงุฏ ุชููู ูุงุฏ ุงูุงู ูุฐุง ุจูููู to analyze
221
00:18:48,600 --> 00:18:52,520
ุฏุฑูู structure shown in diagram one and engineer
222
00:18:52,520 --> 00:18:56,220
draw diagram two ุงูุงู diagram two for analysis
223
00:18:56,220 --> 00:19:01,640
purposes ูุนูู ููุฏู ุงูุชุญููู to help make some
224
00:19:01,640 --> 00:19:06,480
initial simple calculationIn diagram two, the
225
00:19:06,480 --> 00:19:09,440
engineer uses the following assumption and
226
00:19:09,440 --> 00:19:16,880
information The three component forces from
227
00:19:16,880 --> 00:19:20,420
loads
228
00:19:20,420 --> 00:19:26,020
act as a singleresultants ู
ุญุตูุฉ ู
ุธุจูุท ูู ุงู
229
00:19:26,020 --> 00:19:30,420
diagram ุงุชููู ูุฐู ุตุงุฑุช ุชูุงุชุฉ ูุงุญุฏุฉ ููู ุจุนู
ููู
ุจุฌูุจ
230
00:19:30,420 --> 00:19:34,220
ุงูู
ุญุตูุฉ ุชุจุนุชูู
resultant force in the top of the
231
00:19:34,220 --> 00:19:39,560
frame all joints in the frame are ุงูุด ุณู
ูุงูู
ูุฏูู
232
00:19:39,560 --> 00:19:46,780
ุงู joints ูุฏููุฉ flexible ููุง rigid flexible ูู ุงูุง
233
00:19:46,780 --> 00:19:53,620
ุถุบุท ุนูููู
ุจุชุญุฑููุง ู
ุธุจูุทูู ูุฏู ูุณู
ูู ุฅูุดุ pin
234
00:19:53,620 --> 00:20:00,260
joints ุงู joints ูููุง ุงูู
ูุตู ุงู pin ุงููู ูู ู
ูุตู
235
00:20:00,260 --> 00:20:06,220
flexible flexible joints can flex so the frame
236
00:20:06,220 --> 00:20:13,240
behaves as ุฅูุด ูููุงุtruss ู
ุธุจูุท ุงูุงู ุงููู ูููุง ุงู
237
00:20:13,240 --> 00:20:17,380
trust ุงููู ูู ุฅูุด ุนูุฏู frame with flexible joint
238
00:20:17,380 --> 00:20:25,900
ุฃู pin joint ู
ุด rigid ุงููู ุนูุฏู ุฏู ุฅูุด of ุฏุฑูู
239
00:20:25,900 --> 00:20:32,000
structure ุญุงุฌุฉ ู
ู ุชูุช ููู
ุงุช the center of a
240
00:20:32,000 --> 00:20:36,700
gravity of ุฏุฑูู structure shown in redุงููู ุงูุชูุง
241
00:20:36,700 --> 00:20:39,880
ุดุงููููู ููุง not including the satellite dish is
242
00:20:39,880 --> 00:20:43,880
exactly halfway between the two supports ูุนูู ุงููู
243
00:20:43,880 --> 00:20:48,500
ูู ูู ุงููุต ุฃุฌุง ูุงู
244
00:20:48,500 --> 00:20:56,500
ุงูุฎู
ุณุฉ ุงูุงู in diagram two which of the members
245
00:20:56,500 --> 00:21:02,140
are ties and which are struts ุงููู ููุง ุงู a ูุฐู
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ุงูุด ูู ูุฐูStraight ูุฏู Straight ูุฏู Tie ูุฏูู
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ุงูุดุบูุงุช ุจุฏููุง ุชุนุฑูููุง ูุฃู ูุฏู ู
ู ุงูุดุบูุงุช ุงูุณููุฉ
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ุทูุจ choose the correct word from the bracket to
249
00:21:21,080 --> 00:21:25,280
complete the sentences ุจุฏูุง ุงูููู
ุฉ ุงูุตุญู traces
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00:21:25,280 --> 00:21:32,700
are frameworks or ties ุงูุด ุงู trace framework with
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00:21:32,700 --> 00:21:39,810
ุงูุดููู ูู ุฏู flexible ุฃู joint ุฃู pin jointsุ
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ู
ุธุจูุทุ ุทูุจ ุงู connection between members which
253
00:21:43,850 --> 00:21:50,190
flexes is calledุ pin joint ู
ุด rigidุ ูููุณุ Struts
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00:21:50,190 --> 00:21:54,510
are designed to resist compression ููุง tensionุ
255
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compression ุทูุน ุนูุฏ ุงู tie ุฅูุดุ ุงู tie ุงููู ูู
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00:22:00,530 --> 00:22:06,010
ุนู
ููุฉ ุงู ุฅูุดุ ุงู tensionุ ุฃููุฉูุฐู ุนู
ููุฉ ุงู tension
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00:22:06,010 --> 00:22:11,430
ุ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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00:22:20,490 --> 00:22:25,010
it stiffer embraced embraced ุงููู ูู ุฅูุด ูููุง ุนููุง
261
00:22:25,010 --> 00:22:33,790
embraced ุงููู ูู ูู
ุง ูููู ุนูู ุฅูุด ุจูุนู
ูููุงstiffen
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00:22:33,790 --> 00:22:43,050
ู brace ููุณ ุงูุดูุก ูู
ุง ูุนู
ู ุงู stiffen ูุงู ุทูุจ ุงูุขู
263
00:22:43,050 --> 00:22:47,030
ุฏู ุจูุทูุน ุงุญูุง ุงูุด ุงููู ู
ุฑู ุนูููุง ุงูููู
ุงุช ูู ููุง
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ุงุชููู
ูุง ูู ุงู chapter ูุงู ุนูู ุงู structural
265
00:22:52,750 --> 00:22:59,100
mechanicsุชููู
ูุ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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00:23:10,780 --> 00:23:13,440
moving ุทุจ ูู
ุง ูููู under equilibrium ุฅูุด ุงููู
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00:23:13,440 --> 00:23:17,600
ุนูุฏูุ ุนูุฏู two different forces ุฃู two different
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00:23:17,600 --> 00:23:23,850
loadsof equal magnitude and opposite direction act
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00:23:23,850 --> 00:23:29,390
ุนูู ุงู frame ุงูู
ูุฌูุฏ ููุง ุงูุฃู ุงุชููู
ูุง ุจุฑุถู ุนูู
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00:23:29,390 --> 00:23:36,090
ุญุงุฌุฉ ุชุงููุฉ ุจุนุฏูุง ูุฐุง ุงุชููู
ูุง ุนูู ุงูุฌุฒุฆูุฉ ูุฐูุงู
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gravity ู ุงู center of gravity ุงู gravity ูู ุงุญุฏู
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ุงู forces ุจุชุฃุซุฑ ุนูู ูู ุดูุก ู ุฏุงูู
ุง ุงุญูุง ุจุชููู
275
00:23:43,790 --> 00:23:47,950
downward ู ู
ู
ูู ุงูุชูุง ุจุชุนุฑูููุง ููู ุชุญุณุจููุง ุงููู ูู
276
00:23:47,950 --> 00:23:53,030
ุจุชุณุงูู M ูู G ู
ุธุจูุทุ ุงูููููุง ูู ุงูููุฒูุงุก ู
ุฑุช
277
00:23:53,030 --> 00:23:58,310
ุนููููุง ุงู G ุงููู ูู A ุงู A ุงููู ูู ุจุณ ูู ุงู .. ูู
278
00:23:58,310 --> 00:24:04,180
ุงู gravity ูุฏูุด ุจุชุณุงููุุชุณุนุฉ point ุชู
ุงููุฉ ูุงุญุฏ
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00:24:04,180 --> 00:24:08,160
meter squared per second ู
ุธุจูุท ุงู meter per second
280
00:24:08,160 --> 00:24:12,520
squared ุงูุงู ุงููู ุนูุฏู ูุฐู ุงููู ุจูุชุทูุน ุนูููุง ุงูุงู
281
00:24:12,520 --> 00:24:18,520
ูู
ุง ููุฌู ุจุนุฏ ููู ุงุชููู
ูุง ุนูู ุงู structure with
282
00:24:18,520 --> 00:24:22,280
different joint ููููุง ุงู joints ูู
ุง ุชููู flexible
283
00:24:22,280 --> 00:24:27,780
ุจูุณู
ููุง pin joint ู ูู
ุง ุชุจูู hard ุงู solid ุจูุณู
ููุง
284
00:24:27,780 --> 00:24:33,000
ุงูุด rigid jointsุงูุงู ุงุชููู
ูุง ุนูู ุงู structure ุชุจุนู
285
00:24:33,000 --> 00:24:37,440
ุฏู ุงู structure ุงูู
ูุฌูุฏ ุนูุฏู with flexible ุงู ุจูู
286
00:24:37,440 --> 00:24:43,680
joint ุณู
ูุงู traces ุงู trace ุงูุงู ุงููู ุนูุฏู ูู ุงู
287
00:24:43,680 --> 00:24:48,940
trace ุนูุฏู ููู member ุฏู ุงู member members resist
288
00:24:48,940 --> 00:24:53,840
compression ุณู
ูุงูู
ุงูุดุ stress ู ุฏู ุนู
ููุง
289
00:24:53,840 --> 00:25:00,670
resisting ูู tension ุณู
ูุงูู
ุงูุดุ tieููุฐุง ุฎูุตูุง
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