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1 |
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00:00:20,650 --> 00:00:27,010 |
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ุงูุณูุงู
ุนูููู
ุงูููู
ุณูู ูุชุญุฏุซ ุนู ู
ููุงูููุง ุฃุณุทูุฑูุฉ |
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2 |
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00:00:27,010 --> 00:00:42,550 |
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ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 |
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3 |
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00:00:42,550 --> 00:00:42,630 |
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ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 |
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4 |
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00:00:42,630 --> 00:00:42,710 |
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ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 |
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5 |
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00:00:42,710 --> 00:00:43,250 |
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ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 32 ุญุฏุซ 33 ุญุฏุซ 33 |
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6 |
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00:00:43,250 --> 00:00:48,850 |
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ุญุฏุซ 35 ุญุฏุซ 35 |
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7 |
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00:00:49,540 --> 00:00:59,000 |
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ู
ุด ุดููู ุงูู ุงูููุงู
ุงูู
ูุถู ุฃู ูุฏ ูููู ู
ูุถู ุฃู |
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8 |
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00:00:59,000 --> 00:00:59,400 |
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ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู |
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9 |
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00:00:59,400 --> 00:00:59,980 |
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ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู |
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10 |
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00:00:59,980 --> 00:01:00,440 |
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ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู |
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11 |
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00:01:00,440 --> 00:01:01,420 |
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ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู |
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12 |
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00:01:01,420 --> 00:01:04,920 |
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ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู ู
ูุถู ุฃู |
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13 |
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00:01:04,920 --> 00:01:12,400 |
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ู
ูุถู ุฃู ู
ูุถู |
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14 |
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00:01:12,400 --> 00:01:16,740 |
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ุฃู ู
ูุถู |
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15 |
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00:01:17,890 --> 00:01:23,750 |
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frames and trusses ุงูู frame ุงููู ูู ุงูุด ุงูู ูููู ู |
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16 |
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00:01:23,750 --> 00:01:26,850 |
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ุงูู truss ุงููู ุนุงุฑูููู ุงููู ุงุญูุง ุจูุณู
ูู ุจุงูุนุงู
ูุฉ ุงูู |
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17 |
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00:01:26,850 --> 00:01:31,990 |
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truss ุงูุด ุงูู truss ุงูุญูู ูู
ุง ุงูุช ู
ุดู ุงูุช ูู ู
ู
ุฑ |
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18 |
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00:01:31,990 --> 00:01:39,070 |
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ุงูุด ุจุชูุงูู ุฃู ุจูููู ุงูุด ุงููู ูุง ุจูุณู
ูู truss ุงูุขู |
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19 |
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00:01:39,070 --> 00:01:46,000 |
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ุณูู ุงููุฑู
ูุฏ ุงููู ูู ุญุงุฌุฉ ุจูุณู
ููุง ุฏู ุงูู truss ุงููู |
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20 |
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00:01:46,000 --> 00:01:50,140 |
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ูู ุงูุญู
ุงูุฉุ ููุชููู
ุนูู .. ูุดูุฉ ูุง ุงูุช .. ูุฃ ูุฃ ู
ุด |
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21 |
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00:01:50,140 --> 00:01:56,500 |
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ุงููุดูุฉ .. ูู ุฏู .. ููุชููู
ุนููุงุ ูุงุชุฌูุฌููุด .. ุงูุขู |
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22 |
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00:01:56,500 --> 00:01:57,940 |
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ูู
ุง ูุชููู
ุนูู .. |
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23 |
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00:02:02,380 --> 00:02:06,860 |
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Statically determinate structure when a structure |
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24 |
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00:02:06,860 --> 00:02:11,960 |
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member that is part of the structure is loaded in |
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25 |
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00:02:11,960 --> 00:02:15,760 |
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a certain direction ูุนูู ูู
ุง ูููู ุนูุฏูุง ุงูู structure |
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26 |
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00:02:15,760 --> 00:02:23,240 |
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ู
ุญู
ู ุจุงุชุฌุงู ู
ุนูู ุงูู load will cause reaction ูุนูู |
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27 |
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00:02:23,240 --> 00:02:28,100 |
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ูู ุฃุฌุช ููุฉ ุนูู ุญุงุฌุฉ ููุตูุฑ ููุง ุฑุฏ ูุนู ุงูุขู ุฑุฏุฉ |
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28 |
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00:02:28,100 --> 00:02:33,020 |
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ุงููุนู ูุฐุง ูุนูู ุงู ุทุงูุฉ ุฃุฎุฑู ู
ุชุณุงููุฉ ูููุถุน ุณุชุนู
ู ูู |
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29 |
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00:02:33,020 --> 00:02:38,800 |
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ุงูุงุชุฌุงู ุงูู
ุนูุณ ููู ูุนู ุฑุฏ ูุนู ู
ุณุงูู ูู ุงูู
ูุฏุงุฑ |
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30 |
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00:02:38,800 --> 00:02:43,400 |
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ู
ุนูุณ ูู ุงูุงุชุฌุงู ูุฐุง ุงููู ุจูุญูููุง ุงู ูู ูููุณ ุงูู |
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31 |
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00:02:43,400 --> 00:02:47,540 |
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reaction will counteract resist the load and stop |
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32 |
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00:02:47,540 --> 00:02:51,320 |
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the member from moving ูุนูู ูุฐู ุงูููุฉ ูู
ุง ููุฌู |
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33 |
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00:02:51,320 --> 00:02:58,300 |
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ูุญุทูุง ู
ุด ูุชุฎูู ุงูุฌุณู
ุฃู ุงูุนุถู ูุฐุง ูุชุญุฑู when the |
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34 |
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00:02:58,300 --> 00:03:02,700 |
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loads and reactions acting in members are equal |
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35 |
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00:03:02,700 --> 00:03:07,700 |
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ูู
ุง ูุฐุง ูููู ุงูุฃุญู
ุงู ูุฑุฏูุฏ ุงูุฃูุนุงู ุชุจุนุชูุง ุฃู |
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36 |
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00:03:07,700 --> 00:03:13,360 |
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ุงูุชูุงุนู ู
ุนูุง ุงูููุฉ ุงูู
ุถุงุฏุฉ ููุง ู
ุชุณุงููุฉุ ุงูุด ุงููู |
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37 |
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00:03:13,360 --> 00:03:17,620 |
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ุจูุญุตูุ we say it is in equilibrium ุนู
ููุฉ ุงูุดุ |
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38 |
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00:03:17,620 --> 00:03:23,490 |
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ุงุชุฒุงู structures that are designed not to move to |
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39 |
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00:03:23,490 --> 00:03:26,510 |
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stay in equilibrium are called statically |
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40 |
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00:03:26,510 --> 00:03:29,690 |
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determined structures ูุนูู ุงููู statically |
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41 |
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00:03:29,690 --> 00:03:32,210 |
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determined structure ูู
ุงูู structure in |
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42 |
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00:03:32,210 --> 00:03:36,530 |
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equilibrium ูุนูู ุจุชุชุญุฑูุด ูุง ุจุฑูุญ ููุง ุจุชุชุญุฑู ุจุงูููุฉ |
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43 |
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00:03:36,530 --> 00:03:41,490 |
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ุงููู ุจุชูุถุบุท ุนููู ูุฐุง ุจูููู ุนูู ุงูุดุ ุฃููุฉ |
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44 |
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00:03:41,490 --> 00:03:46,250 |
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statically determined structure ูููุณุ |
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45 |
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00:03:48,330 --> 00:04:02,030 |
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resultant forces and the center of gravity ุนุงุฏุฉ |
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46 |
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00:04:02,030 --> 00:04:09,030 |
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ุฃู ูููู ุจูุญู
ู |
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47 |
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00:04:09,030 --> 00:04:16,990 |
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ุฃุญู
ุงู ู
ุฎุชููุฉ ูู ุณูุงุก ู
ู ูุงุญูุฉ ุงูู magnitude ุฃู ู
ู |
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48 |
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00:04:16,990 --> 00:04:21,130 |
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ูุงุญูุฉ ุงูุงุชุฌุงู ุงููู ุจุชูุฌู ุนููู to calculate the |
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49 |
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00:04:21,130 --> 00:04:23,830 |
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results of these different components ููุฐุง ุฎุฏุชููุง |
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50 |
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00:04:23,830 --> 00:04:27,770 |
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ุจุงูููุฒูุงุก component forces and engineer can |
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51 |
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00:04:27,770 --> 00:04:32,370 |
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calculate a resultant force or resultants ูุนูู ูู |
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52 |
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00:04:32,370 --> 00:04:36,750 |
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ุงูุนุงุฏุฉ ุงุญูุง ู .. ุฎุฏุชููุง ุจุงูู statistics ูู ุงูุซุงูููุฉ |
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53 |
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00:04:36,750 --> 00:04:42,890 |
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ุจุงูููุฒูุงุก ุตุญุ ููุฒูุงุก ุงูู ุฃุฎุฏุชูุง ุงูุช ูู ุนูุฏู ููุฉ |
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54 |
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00:04:42,890 --> 00:04:47,850 |
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ู
ุฎุชููุฉ ุฌุงู ุจุฏุฃ ุฃุฌูุจ ุงูู
ุญุตูุฉ ุชุจุนุชูุง ุจุงุฌูุจ ุญุงุฌุฉ |
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55 |
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00:04:47,850 --> 00:04:52,070 |
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ุงุชุฌุงู ุงูู
ุญุตูุฉ ูู ุงูุงุชุฌุงู ุงูุนู
ูุฏู ูุงูุนู
ูุฏู ูุงูุฃููู |
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56 |
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00:04:52,070 --> 00:04:56,250 |
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ูุจุนุฏูู ุจุงุฌูุจ ุงูู
ุญุตูุฉ ุชุจุนุช ุงูุชูุชูู ุชุทูุน ูู ุฃู ุงุชุฌุงู |
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57 |
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00:04:56,250 --> 00:05:01,230 |
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ุจุณ ูุงุฒู
ุฃุญุฏุฏ ุงูููุทุฉ ุงููู ุนูุฏูุง ุจุชุทูุงู ูู ูุฐู ุงูููุฉ |
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58 |
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00:05:01,230 --> 00:05:04,210 |
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ุงููู ุจูููู ุงูู center of gravity ุฃู ุงูู center ุงููู |
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59 |
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00:05:04,210 --> 00:05:11,050 |
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ุนูุฏู ููุฐู ุงูุดุบูุฉ one of the main forces exerted in |
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60 |
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00:05:11,050 --> 00:05:14,810 |
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structure is gravity ุงุญูุง ูู ูู ุดู ูู ุนูุฏูุง |
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61 |
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00:05:14,810 --> 00:05:17,470 |
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ุงูุฌุงุฐุจูุฉ ุงูุฃุฑุถูุฉ |
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62 |
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00:05:21,560 --> 00:05:28,900 |
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Okay ุงูู gravity this acts vertically downward ุงููู |
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63 |
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00:05:28,900 --> 00:05:33,380 |
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ูู ูุนูู ุนุงุฏุฉ ุงูู gravity ุจุชูุฌู ุงูุด ุนู
ูุฏู ูู ุงุชุฌุงู |
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64 |
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00:05:33,380 --> 00:05:38,640 |
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ุงูุฃุณูู ูุฐู ู ุฏุงูู
ุง ูุฐู ุจูุญุณุจ ุญุณุงุจูุง ุจุดูู .. ุจุฏู |
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65 |
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00:05:38,640 --> 00:05:43,730 |
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ุชุดูู ุงูุชูุงุตูู ุจุชุฑูุญ ุนูู ุงูู chapter 9ุงูุฌุงุฐุจูุฉ ุชุชุนุฑุถ |
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66 |
|
00:05:43,730 --> 00:05:49,970 |
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ููู ุฏุฑูุฉ ูุฌุงุฐุจูุง ููู ุฅุดู ููู ุฏุฑูุฉ ููุง ุชุชุนุฑุถ |
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67 |
|
00:05:49,970 --> 00:05:54,410 |
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ููุฌุงุฐุจูุฉ However, to simplify their calculation |
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68 |
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00:05:54,410 --> 00:05:57,410 |
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engineers assumed that gravity exerted an |
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69 |
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00:05:57,410 --> 00:06:01,510 |
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imaginary point called the center of gravity ุงูุขู |
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70 |
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00:06:01,510 --> 00:06:04,470 |
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ุงูู center of gravity ุงููู ุจูุชููู
ุนููู ูู ููุทุฉ ุงูุด |
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71 |
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00:06:04,470 --> 00:06:10,230 |
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imaginary point ููุทุฉ ูุฑุถูุฉ ุงุญูุง ุจููุฑุถูุง ูู ุนูู |
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72 |
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00:06:10,230 --> 00:06:14,850 |
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ุฃุฑุถ ุงููุงูุน ูู ุฌุฒุฆูุฉ ูู ุงูุฌุณู
ุฃู ูู ุถุฑุฑ ุฅููุง ูุฐู ุจุณ |
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73 |
|
00:06:14,850 --> 00:06:19,130 |
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ุงุญูุง ุจูููู ููู ุจุฏูุง ูููู ูู ูุฐู ููุทุฉ ุงูุฌุงุฐุจูุฉ |
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74 |
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00:06:19,130 --> 00:06:23,370 |
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ุชุจุนุชูุง ุงููู ุจูุชููู
ุนููุง Depending on the shape of |
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75 |
|
00:06:23,370 --> 00:06:27,330 |
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the object, this point may be inside the object, a |
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76 |
|
00:06:27,330 --> 00:06:32,750 |
|
cross-sectional area or outside the cross |
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77 |
|
00:06:32,750 --> 00:06:35,770 |
|
-sectional area ูุนูู ู
ู
ูู ููุทุฉ ุงูุฌุงุฐุจูุฉ ุงูุฃุฑุถูุฉ |
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78 |
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00:06:35,770 --> 00:06:39,990 |
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ูุฐู ุงููู ุจูููู ุนููุง ุงูุชุฑุงุถูุฉ ุชุจูู ุฌูุง ุงูู
ุณุงุญุฉ |
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79 |
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00:06:39,990 --> 00:06:44,470 |
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ุงูุนุฑุถูุฉ ููู object ุฃู ุชุจูู ุฎุงุฑุฌูุง ููู ุทุจ ููู ุฏู |
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80 |
|
00:06:44,470 --> 00:06:49,230 |
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ูุชููู ุฎุงุฑุฌูุงุ ุทุงูุน ุนูู ุดูููุง ููุง ุจุณูููุฉ ุจูููู ููู |
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81 |
|
00:06:49,230 --> 00:06:55,590 |
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ุฌุงูุฉุ ูู ุงููุตู ููุง ุฌูุง ูููุง ุงุดุทูุนุช ุจุฑุง ููุฐู ุจุชุนุทูู |
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82 |
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00:06:55,590 --> 00:07:02,230 |
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example ููู ุงููุง ู
ู
ูู ุชููู ุจุฑุง ุงูุขู |
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83 |
|
00:07:02,230 --> 00:07:08,890 |
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ูู
ุง ูุชููู
ุนู ุงูู frames and traces ุงูู frame is made |
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84 |
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00:07:08,890 --> 00:07:14,330 |
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from a number of relative ten members ุนุงุฏุฉ ุงูู |
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85 |
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00:07:14,330 --> 00:07:19,400 |
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frame .. ุฎูููู
ู
ุนุงูุง ูุง ุจูุงุช ุงูู frame ูู ุนุจุงุฑุฉ ุนู |
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86 |
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00:07:19,400 --> 00:07:22,920 |
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ุงูุดุ ุทูุน ุฃูุช ุงูุญู
ุงูุฉ ุงููู ุจุชูุนู
ู ุนูู ุงูุดุจุงูุ ูุฐุง |
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87 |
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00:07:22,920 --> 00:07:29,360 |
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ุจูุณู
ูู frame ุงูุฏุฑุฌุ ุดุงุญุท ุงูุญุฏูุฏ ุงููู ุนูู ุดุงุญุท |
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88 |
|
00:07:29,360 --> 00:07:35,380 |
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ุงูุฏุฑุฌุ ูุฐุง ุจูุณู
ูู frame ูู ุฅุทุงุฑุ ุจุชูุฏุฑ ุชุนุชุจุฑููุ ุจุณ |
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89 |
|
00:07:35,380 --> 00:07:43,720 |
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ุนุงุฏุฉ ุงูู
ูุตุฏ ุงูููุฏุณู ููู ูู ุฅุทุงุฑ ู
ู ุงูุฃุนุถุงุก ุชุจุนุฉุ |
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90 |
|
00:07:43,720 --> 00:07:49,140 |
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ุงูุด ุจูููู ุนูู ุงูู tinุ ุงุฑูุนุฉ example are bicycle |
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91 |
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00:07:49,140 --> 00:07:54,620 |
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frames ุงูุจุณูุงููุช ุงูุฅุทุงุฑ ุชุจุนุช ุงูุจุณูุงููุช steel frame |
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92 |
|
00:07:54,620 --> 00:08:00,420 |
|
building ุงููู ูู ุชุจุนุงุช ุงูุจูุงูุงุช members of a frame |
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93 |
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00:08:00,420 --> 00:08:04,560 |
|
can form a complex shape often with many triangles |
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94 |
|
00:08:04,560 --> 00:08:09,620 |
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called lattices ุงูุขู ุนุงุฏุฉ ููููู ุงูู frame ููู ุงูุด |
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95 |
|
00:08:09,620 --> 00:08:15,080 |
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ูุงุฒู
ุฃุนู
ูู ุนูู ุดูู ู
ุชูุชุงุช ูู ุฃูุง ุฌูุช ุนู
ูุช frame |
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96 |
|
00:08:15,080 --> 00:08:23,790 |
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ูุงูุชุงูู ุฃุจูุงุก ุชููููุง ู
ุนุงู ุจุฏูู ุตูุช ุฌุงูุจู ูุฐุง |
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97 |
|
00:08:23,790 --> 00:08:27,990 |
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frame ูู ุฌูุช ุถุบุทุช ุนููู ุงูุด ุงูู frame ูุฐุง ุจุฏู ูุญุตู |
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98 |
|
00:08:27,990 --> 00:08:35,470 |
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ููุ ุจุณููุดุ ุจุงูุทุนุดุ ู
ุธุจูุท ูุฐุง ุจูุตูุฑ .. ุจุชูุงููู ุนูู |
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99 |
|
00:08:35,470 --> 00:08:41,030 |
|
ุทูู ุจูุญุตูุ ู
ุธุจูุทุ ูุฃุฏุนู
ู ุงูุด ุจุนู
ูุ ูู ุญุทูุช ู
ูุชูุฉ |
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100 |
|
00:08:41,030 --> 00:08:49,360 |
|
ุชุงุนุช ููุง ุงูุด ุจูุญุตู ููุ ุจุชุฌูู ูุฐุง ุงููุตุฏ ููู ุงููู |
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101 |
|
00:08:49,360 --> 00:08:53,460 |
|
ุนูุฏูุ ุงูุขู ูุฐู ูู simple structureุ structure |
|
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102 |
|
00:08:53,460 --> 00:08:57,340 |
|
deformed under loadุ ููุง ุนู
ูุช ูุฅูุดุ adding cross |
|
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103 |
|
00:08:57,340 --> 00:09:01,520 |
|
members ุงููู ูู .. ุงููู .. ุงููู ูู ุงุณุชูู ุฏู ุงูุดุ |
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|
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104 |
|
00:09:01,520 --> 00:09:05,220 |
|
ุงูู structure ุงููู .. ุงููู ู
ูุฌูุฏ ุนูุฏู |
|
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|
105 |
|
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 |
|
|
|
107 |
|
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 |
|
|
|
109 |
|
00:09:29,380 --> 00:09:36,240 |
|
ูู
ุง ุงููุงุญุฏ stiff arm ุจุชู
ุฏู ุงูุฏู ุฒู ููู ูุจุช .. |
|
|
|
110 |
|
00:09:36,240 --> 00:09:40,720 |
|
ุจุชู
ุดู .. ุญุฏ ู
ูุฏุฑ ูุฌุฑุจ ู
ููุ ูุฐุง ุจูุณู
ููุง stiff arm |
|
|
|
111 |
|
00:09:40,720 --> 00:09:47,610 |
|
ู
ุดุฏูุฏุฉ ุงูู aid ู
ุดุฏูุฏุฉ stiff arm ููุฐููุฉ ุจูุนู
ููุง |
|
|
|
112 |
|
00:09:47,610 --> 00:09:50,650 |
|
ุงูุญุฏูุฏ stiff ูุนูู ุงูุดุ ุงูู stiff arm ุชูุทุน ุฌูุด |
|
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|
113 |
|
00:09:50,650 --> 00:09:55,770 |
|
ู
ู
ุฏูุฏุฉ ู
ุดุฏูุฏุฉ ู
ุด ู
ุทุนูุฌุฉ ููู ูู
ุง ุชุญุทููุง ุฒู ููู ู |
|
|
|
114 |
|
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 |
|
|
|
116 |
|
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 |
|
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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 |
|
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|
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 |
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141 |
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00:12:20,530 --> 00:12:23,370 |
|
they are weak or because they are designed to do |
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142 |
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00:12:23,370 --> 00:12:28,090 |
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so ุงููู ูู ู
ุตู
ู
ุฉ ุฒู ุงูู
ูุงุตู ุงูุฅูุณุงู ู
ุตู
ู
ุฉ ุฅูููุง |
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143 |
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00:12:28,090 --> 00:12:33,610 |
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ุชุชุญุฑู ุชููู flexible are called bend joints ูุนุฑูุชูุง |
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144 |
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00:12:33,610 --> 00:12:38,110 |
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ุฅูุด ุงู bend jointsุ ุงููู ุจุชุชุญุฑู ุงูุขู ุงูููุน ุงูุซุงูู |
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145 |
|
00:12:38,110 --> 00:12:42,830 |
|
ูู lattices which are entirely bent joint and |
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146 |
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00:12:42,830 --> 00:12:45,810 |
|
which therefore need cross members to stiffen them |
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147 |
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00:12:45,810 --> 00:12:50,350 |
|
are called traces ุงู traces ุงููู ูู ุฅูุดุ ุจุฏูู
ุฏุนู
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148 |
|
00:12:51,560 --> 00:12:55,760 |
|
ุงูู trust contain two types of members, members |
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149 |
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00:12:55,760 --> 00:13:00,140 |
|
that resist tension are called ties ูู ุนูุฏู ุญุงุฌุงุช |
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150 |
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00:13:00,140 --> 00:13:07,680 |
|
ุจุชูุงูู
ุงูุดุฏ ุจูุณู
ููู
ties ููู ุญุงุฌุงุช ุจุชูุงูู
ุงูุงุดุงูู |
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151 |
|
00:13:07,680 --> 00:13:10,460 |
|
compression ุงููู ุจุชูุงูู
ุงู compression which |
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152 |
|
00:13:10,460 --> 00:13:14,000 |
|
members that resist compression are called struts |
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153 |
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00:13:14,000 --> 00:13:18,340 |
|
ุงูู struts ุงููู ูู ุจุชูุงุฑู ุงู compression ุงู ties |
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154 |
|
00:13:18,340 --> 00:13:23,060 |
|
ุงููู ูู ุจุชูุงุฑู ุงู tension ุงูุดุฏ a joint which does |
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155 |
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00:13:23,060 --> 00:13:27,520 |
|
not flex is called a rigid joint rigid ุฃู solid |
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156 |
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00:13:27,520 --> 00:13:34,140 |
|
ุงููู ูู ุฅูุดุ ุจุชุชุญุฑูุด or moments connection rigid |
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157 |
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00:13:34,140 --> 00:13:37,780 |
|
joints are often thick and securely joined for |
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158 |
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00:13:37,780 --> 00:13:43,200 |
|
example by weld ุฅูุด ุงู weld ูููุง ุนููุ |
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159 |
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00:13:43,200 --> 00:13:48,620 |
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ุงุชููู
ูุง ุนูู ุงูู
ุญุงุถุฑุฉ ูุจู ุชู
ุงููุฉ ู ุนุดุฑูู ู
ุธุจูุทุ |
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160 |
|
00:13:48,620 --> 00:13:53,520 |
|
ุงูุญุงู
ุนู
ููุฉ ุงูุญุงู
ุงููู ูู ุงู weld ุงูุขู ุฅุทูุน ุนูุฏู |
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161 |
|
00:13:53,520 --> 00:14:00,060 |
|
ุชุชุฐูุฑูุง ุณุฌูู ุงููุฑู
ูุฏุ ุดูุชููู
ุฅูุด ุงูุดูู ุชุจุน ุงูุญุงู
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162 |
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00:14:00,060 --> 00:14:05,600 |
|
ุงููู ุชุจุนูุ ุฒู ููู ู
ุธุจูุทุ ุงูุขู ูู ุถุบุทุช ูุฐู joint |
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163 |
|
00:14:05,600 --> 00:14:09,240 |
|
ุจูุณู
ููุง pin joint ูู ุถุบุทุช ุนูููุง ุฅูุด ุจูุญุตู ูู ูุฏูู |
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164 |
|
00:14:09,240 --> 00:14:16,120 |
|
ูุฏููุฉ ุจุฏูุง ุชูุฑุฏ ุฃู ูุฏููุฉ ุฅูุด ุจุฏูู
ูุณููุงุ ุงูุขู ูู |
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165 |
|
00:14:16,120 --> 00:14:20,760 |
|
ุฑุจุทุชูู
ุจุญุงุฌุฉ ู
ู ููุง ุญุทูุช ุดูููุฉ ุฎุดุจ ุฃู ุญุงุฌุฉ ุจูุฐู ูุฐู |
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166 |
|
00:14:20,760 --> 00:14:25,960 |
|
ุจูุณู
ูููุง ุงููู ุดูุชููุง ุฅูุด ูููููุงุ ุฅุญูุง ุนูุฏูุง straw |
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167 |
|
00:14:25,960 --> 00:14:32,060 |
|
ูุฏูู |
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168 |
|
00:14:32,890 --> 00:14:38,970 |
|
ูุฐุง ููู ุจูุณู
ูู trust ููุฐู ุงููู ุจูุณู
ููุง ุงู tie ุทูุน |
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169 |
|
00:14:38,970 --> 00:14:45,070 |
|
ุนูู ุญุงุฌุฉ ุซุงููุฉุ ูู ุฌูุจุช ูุฐู ูููุง ู
ูุฌูุฏุฉ ุนูุฏูุง ุงู |
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170 |
|
00:14:45,070 --> 00:14:49,830 |
|
raft ุชุจุน ุงููุชุจุ ู
ุธุจูุทุ ุงู raft ุชุจุน ุงููุชุจุ ุฅูุด |
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171 |
|
00:14:49,830 --> 00:14:55,910 |
|
ุจูุญุตู ููุ ูุฐุง ูู ุญุทูุช ุงููุชุจ ุนูู ูุฐุงุ ุฅูุด ุจูุญุตู |
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172 |
|
00:14:55,910 --> 00:15:01,210 |
|
ููุฐุงุ ุชูุทุนุฌุ |
|
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173 |
|
00:15:01,210 --> 00:15:08,220 |
|
ุจุธุจุทุ ู
ุด ูุฐู ุจุฏูุง ุชูุทุนุดุ ุงูุขู |
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|
174 |
|
00:15:08,220 --> 00:15:12,380 |
|
ุทุจูุนู ูู ุฃูุช ุฌุจุช ุญุงุฌุฉ ู
ุด ุฌุงููุฉ ูุนูู ู
ู
ูู ุทุงููุงุช |
|
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|
175 |
|
00:15:12,380 --> 00:15:15,300 |
|
ุงููู
ุจููุชุฑ ุงููู ุจุชุดููููุง ุจุชูุจูุน ูู ุงูุณูู ุงูุชุฌุงุฑู |
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176 |
|
00:15:15,300 --> 00:15:20,480 |
|
ูุฐู good examples ู
ุธุจูุท ุชุทูุน ุนูููุง ุจุชูุงูู ูุฐู ุนูู |
|
|
|
177 |
|
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
|
|
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|
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 |
|
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|
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 |
|
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|
183 |
|
00:15:49,510 --> 00:15:53,790 |
|
ุฅูุด ุจูุญุตู ููุงุ ูุฐุฉ will get compressed ูู ุจูู |
|
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|
184 |
|
00:15:53,790 --> 00:15:57,630 |
|
ุงููุฒูุ ูุชูุถุบุทุ ูุฐู ุงูุดุฌุฉ ุงูุซุงููุฉ ุงููู ุจุฑุง ุฅูุด |
|
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|
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 |
|
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|
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 |
|
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|
189 |
|
00:16:18,640 --> 00:16:30,010 |
|
ู
ูุฌูุฏ ูุงู ููููุง ุงู tie ู ูุงู ุฅูุดุ ู ูุงู ุงู strut ููู |
|
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|
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 |
|
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|
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 |
|
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|
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 |
|
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|
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 |
|
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|
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 |
|
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|
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 |
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large satellite dish ูุฏูู ุงู forces ุฌุงู ู
ู ุชูุงุช |
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215 |
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00:18:34,690 --> 00:18:39,520 |
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ุฃู
ุงูู ู
ุญู
ูู ุนูููู
satellite dish ูุนูู ูุงุฏ ุฌุงู ุนูู |
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216 |
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00:18:39,520 --> 00:18:43,500 |
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ูููุ ุนูู ุงูุณุทุญ ุงููู ูุงุฏ ุงูุขู ููุทุฉ ุงู result sense |
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217 |
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00:18:43,500 --> 00:18:48,600 |
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ุชุจุนูู
ูููุ ูุงุฏ ุชููู ูุงุฏ ุงูุขู ูุฐุง ุจูููู to analyze |
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218 |
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00:18:48,600 --> 00:18:52,520 |
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ุฏุฑูู structure shown in diagram one and engineer |
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219 |
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00:18:52,520 --> 00:18:56,220 |
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draw diagram two ุงูุขู diagram two for analysis |
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220 |
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00:18:56,220 --> 00:19:01,640 |
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purposes ูุนูู ููุฏู ุงูุชุญููู to help make some |
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221 |
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00:19:01,640 --> 00:19:06,480 |
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initial simple calculation In diagram two, the |
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222 |
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00:19:06,480 --> 00:19:09,440 |
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engineer uses the following assumption and |
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223 |
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00:19:09,440 --> 00:19:16,880 |
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information The three component forces from |
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224 |
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00:19:16,880 --> 00:19:20,420 |
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loads |
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225 |
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00:19:20,420 --> 00:19:26,020 |
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act as a single resultant ู
ุญุตูุฉ ู
ุธุจูุท ูู ุงู |
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226 |
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00:19:26,020 --> 00:19:30,420 |
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diagram ุงุซููู ูุฐู ุตุงุฑุช ุชูุงุชุฉ ูุงุญุฏุฉ ููู ุจุนู
ููู
ุ ุจุฌูุจ |
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227 |
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00:19:30,420 --> 00:19:34,220 |
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ุงูู
ุญุตูุฉ ุชุจุนุชูู
resultant force in the top of the |
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228 |
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00:19:34,220 --> 00:19:39,560 |
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frame all joints in the frame are ุฅูุด ุณู
ูุงูู
ูุฏูู |
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229 |
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00:19:39,560 --> 00:19:46,780 |
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ุงู joints ูุฏููุฉ flexible ููุง rigidุ flexible ูู ุฃูุง |
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230 |
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00:19:46,780 --> 00:19:53,620 |
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ุถุบุท ุนูููู
ุจุชุญุฑููุง ู
ุธุจูุท ูู ูุฏู ูุณู
ูู ุฅูุดุ pin |
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231 |
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00:19:53,620 --> 00:20:00,260 |
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joints ุงู joints ูููุง ุงูู
ูุตู ุงู pin ุงููู ูู ู
ูุตู |
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232 |
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00:20:00,260 --> 00:20:06,220 |
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flexible flexible joints can flex so the frame |
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233 |
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00:20:06,220 --> 00:20:13,240 |
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behaves as ุฅูุด ูููุงุ truss ู
ุธุจูุท ุงูุขู ุงููู ูููุง ุงู |
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234 |
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00:20:13,240 --> 00:20:17,380 |
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trust ุงููู ูู ุฅูุดุ ุนูุฏู frame with flexible joint |
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235 |
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00:20:17,380 --> 00:20:25,900 |
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ุฃู pin joint ู
ุด rigid ุงููู ุนูุฏู ุฏู ุฅูุดุ of ุฏุฑูู |
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236 |
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00:20:25,900 --> 00:20:32,000 |
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structure ุญุงุฌุฉ ู
ู ุชูุช ููู
ุงุช the center of a |
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237 |
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00:20:32,000 --> 00:20:36,700 |
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gravity of ุฏุฑูู structure shown in red ุงููู ุฃูุชู |
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238 |
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00:20:36,700 --> 00:20:39,880 |
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ุดุงููููู ููุง not including the satellite dish is |
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239 |
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00:20:39,880 --> 00:20:43,880 |
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exactly halfway between the two supports ูุนูู ุงููู |
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240 |
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00:20:43,880 --> 00:20:48,500 |
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ูู ูู ุงููุต ุฃุฌุง ูุงู |
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241 |
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00:20:48,500 --> 00:20:56,500 |
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ุงูุฎู
ุณุฉ ุงูุขู in diagram two which of the members |
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242 |
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00:20:56,500 --> 00:21:02,140 |
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are ties and which are struts ุงููู ููุง ุงู a ูุฐู |
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243 |
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00:21:02,140 --> 00:21:10,040 |
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ุฅูุด ููุ ูุฐู Straight ูุฏู Straight ูุฏู Tie ูุฏูู |
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244 |
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00:21:10,040 --> 00:21:14,700 |
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ุงูุดุบูุงุช ุจุฏููุง ุชุนุฑูููุง ูุฃู ูุฏู ู
ู ุงูุดุบูุงุช ุงูุณููุฉ |
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245 |
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00:21:14,700 --> 00:21:21,080 |
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ุทูุจ choose the correct word from the bracket to |
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246 |
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00:21:21,080 --> 00:21:25,280 |
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complete the sentences ุจุฏูุง ุงูููู
ุฉ ุงูุตุญู traces |
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247 |
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00:21:25,280 --> 00:21:32,700 |
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are frameworks or ties ุฅูุด ุงู trace framework with |
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248 |
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00:21:32,700 --> 00:21:39,810 |
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ุฅูุด ูููู ูู ุฏู flexible ุฃู joint ุฃู pin jointsุ |
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249 |
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00:21:39,810 --> 00:21:43,850 |
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ู
ุธุจูุทุ ุทูุจ ุงู connection between members which |
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250 |
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00:21:43,850 --> 00:21:50,190 |
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flexes is calledุ pin joint ู
ุด rigidุ ูููุณุ struts |
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251 |
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00:21:50,190 --> 00:21:54,510 |
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are designed to resist compression ููุง tension? |
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252 |
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00:21:54,510 --> 00:22:00,530 |
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compression ุทูุน ุนูุฏ ุงู tie ุฅูุดุ ุงู tie ุงููู ูู |
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253 |
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00:22:00,530 --> 00:22:06,010 |
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ุนู
ููุฉ ุงู ุฅูุดุ ุงู tensionุ ุฃููุฉ ูุฐู ุนู
ููุฉ ุงู tension |
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254 |
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00:22:06,010 --> 00:22:11,430 |
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ุจูุณู
ููุง ุงู tie ู ุงู compression ุงู stress ู ุงู |
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255 |
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00:22:11,430 --> 00:22:16,650 |
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trust ุงููู ูู ุจูุญู
ู ุงูุชูุชูู ูููุณ by adding cross |
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256 |
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00:22:16,650 --> 00:22:20,490 |
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member frames is embraced ููุง being joined making |
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257 |
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00:22:20,490 --> 00:22:25,010 |
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it stiffer embraced embraced ุงููู ูู ุฅูุด ูููุง ุนููุง |
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258 |
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00:22:25,010 --> 00:22:33,790 |
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embraced ุงููู ูู ูู
ุง ูููู ุนูู ุฅูุด ุจูุนู
ูููุง stiffen |
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259 |
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00:22:33,790 --> 00:22:43,050 |
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ู brace ููุณ ุงูุดูุก ูู
ุง ูุนู
ู ุงู stiffen ูุงู ุทูุจ ุงูุขู |
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260 |
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00:22:43,050 --> 00:22:47,030 |
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ุฏู ุจูุทูุน ุงุญูุง ุฅูุด ุงููู ู
ุฑ ุนูููุง ุงูููู
ุงุช ูู ููุง |
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261 |
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00:22:47,030 --> 00:22:52,750 |
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ุงุชููู
ูุง ูู ุงู chapter ูุงู ุนูู ุงู structural |
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262 |
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00:22:52,750 --> 00:22:59,100 |
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mechanics ุชููู
ูุง ููู ุนูู .. ุฃููุง ูููุง ูู
ุง ุงู frame |
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263 |
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00:22:59,100 --> 00:23:04,820 |
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ุงููู ุนูุฏู is statically determinant structure ุฅูุด |
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264 |
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00:23:04,820 --> 00:23:10,780 |
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ู
ุนูุงุชูุ ุงู structure is under equilibrium and not |
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265 |
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00:23:10,780 --> 00:23:13,440 |
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moving ุทุจ ูู
ุง ูููู under equilibrium ุฅูุด ุงููู |
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266 |
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00:23:13,440 --> 00:23:17,600 |
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ุนูุฏูุ ุนูุฏู two different forces ุฃู two different |
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267 |
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00:23:17,600 --> 00:23:23,850 |
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loads of equal magnitude and opposite direction act |
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268 |
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00:23:23,850 --> 00:23:29,390 |
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ุนูู ุงู frame ุงูู
ูุฌูุฏ ููุง ุงูุฃู ุงุชููู
ูุง ุจุฑุถู ุนูู |
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269 |
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00:23:29,390 --> 00:23:36,090 |
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ุญุงุฌุฉ ุชุงููุฉ ุจุนุฏูุง ูุฐุง ุงุชููู
ูุง ุนูู ุงูุฌุฒุฆูุฉ ูุฐู ุงู |
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270 |
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00:23:36,090 --> 00:23:39,990 |
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gravity ู ุงู center of gravity ุงู gravity ูู ุฅุญุฏู |
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271 |
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00:23:39,990 --> 00:23:43,790 |
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ุงู forces ุจุชุฃุซุฑ ุนูู ูู ุดูุก ู ุฏุงุฆู
ุง ุงุญูุง ุจุชููู |
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272 |
|
00:23:43,790 --> 00:23:47,950 |
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downward ู ู
ู
ูู ุฃูุชู
ุจุชุนุฑูููุง ููู ุชุญุณุจููุง ุงููู ูู |
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273 |
|
00:23:47,950 --> 00:23:53,030 |
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ุจุชุณุงูู M ูู G ู
ุธุจูุทุ ุฃููู ููู
ูู ุงูููุฒูุงุก ู
ุฑุช |
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274 |
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00:23:53,030 --> 00:23:58,310 |
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ุนููููุง ุงู G ุงููู ูู A ุงู A ุงููู ูู ุจุณ ูู ุงู .. ูู |
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275 |
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00:23:58,310 --> 00:24:04,180 |
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ุงู gravity ูุฏู ุจุชุณุงููุ ุชุณุนุฉ point ุซู
ุงููุฉ ูุงุญุฏ |
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276 |
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00:24:04,180 --> 00:24:08,160 |
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meter squared per second ู
ุธุจูุท ุฃู meter per second |
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277 |
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00:24:08,160 --> 00:24:12,520 |
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squared ุงูุขู ุงููู ุนูุฏู ูุฐู ุงููู ุจูุชุทูุน ุนูููุง ุงูุขู |
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278 |
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00:24:12,520 --> 00:24:18,520 |
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ูู
ุง ููุฌู ุจุนุฏ ููู ุงุชููู
ูุง ุนูู ุงู structure with |
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279 |
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00:24:18,520 --> 00:24:22,280 |
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different joint ูููุง ุงู joints ูู
ุง ุชููู flexible |
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280 |
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00:24:22,280 --> 00:24:27,780 |
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ุจูุณู
ููุง pin joint ู ูู
ุง ุชุจูู hard ุฃู solid ุจูุณู
ููุง |
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281 |
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00:24:27,780 --> 00:24:33,000 |
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ุฅูุด rigid joints ุงูุขู ุงุชููู
ูุง ุนูู ุงู structure ุชุจุนู |
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282 |
|
00:24:33,000 --> 00:24:37,440 |
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ุฏู ุงู structure ุงูู
ูุฌูุฏ ุนูุฏู with flexible ุฃู ุจูู |
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283 |
|
00:24:37,440 --> 00:24:43,680 |
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joint ุณู
ูุงู traces ุฃู trace ุงูุขู ุงููู ุนูุฏู ูู ุงู |
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284 |
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00:24:43,680 --> 00:24:48,940 |
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trace ุนูุฏู ููู member ุฏู ุงู member members resist |
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285 |
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00:24:48,940 --> 00:24:53,840 |
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compression ุณู
ูุงูู
ุฅูุดุ stress ู ุฏู ุนู
ููุง |
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286 |
|
00:24:53,840 --> 00:25:00,670 |
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resisting ูู tension ุณู
ูุงูู
ุฅูุดุ tie ููุฐุง ุฎูุตูุง |
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