¥¿Å¡B¼u©Ê»P«¤O
¥¿Å (Equilibrium)
¥¿Å
P = ±`¼Æ¡BL = ±`¼Æ
ÀRºA¥¿Å
P = 0¡BL = 0
éwÀRºA¥¿Å
¤pÂZ°Ê«á¯à¦^´_¨ì¥¿Å¦ì¸m
¤£Ã©wÀRºA¥¿Å
¤pÂZ°Ê¯à±N¥¿Å¥Ë¸Ñ
ÀRºA¥¿Å¤ÀªR
¦b¤uµ{¤W¬O«Ü«nªº
¥¿Åªº±ø¥ó
¤Oªº¥¿Å
Fnet = 0
¤O¯xªº¥¿Å
τnet = 0
Y¬OÀRºA¥¿Å¡A«hÁÙ¨ì¦A¥[¤W
½u°Ê«¬°¹s
P = 0
«¤ß
«¤ßªº©w¸q
§@¥Î©ó¬YÓª«Å骺«¤O Fg¡A¬Oµ¥®Ä©ó§@¥Î©ó³æ¿W¤@ÓÂI¡A¦¹ÂIºÙ¬°ª«Å骺«¤ß (Center of Gravity, cog)
³oùتºµ¥®Ä¬O«ü쥻²Õ¦¨¤¸¯À¤Wªº¨ü¤O§ï²¾¨ì«¤ß¡A«h쪫Åé¤]¤£·|¦³Á`¦X¤O»P¦X¤O¯xªº¤£¦P¡A§Yª«Å骺ª¬ºA¤£ÅÜ¡C
«¤ß»P½è¤ß«¦Xªº±ø¥ó
¥ý¨M±ø¥ó¬O«¤O³õ§¡¤Ã¡]¤§«eÁ¿¹L¤F¡^¡AÃÒ©ú¨£½Ò¥»¡A¦Û¤v¬Ý
ÀRºA¥¿Åªº¤@¨t¦CÃD¨Ò
12-1¡]¹Ï 12-4¡^ ¨â¯¯¼µ¤@¼Ù
12-2¡]¹Ï 12-5¡^±è¤l±Ï¤õû
12-3 ¡]¹Ï 12-6¡^¿û¯Á»P¦³Âà¶b¤§¦Q±ì
12-4 ¡]¹Ï 12-7¡^¤ñÂı׶ð
½Ò¥»µ¹¤j®a¦C¥X¸ÑÃD§Þ¥©¾ã²z¡A¦@¤EÂI¡A¥i¥H¬Ý¤@¤U¡C
¥¼©wµ²ºc ( Indeterminate Structures)
¥¼ª¾¼ÆªºÓ¼Æ¤ñ¤èµ{¦¡ªº±ø¼Æ§ó¦h¡AºÙ¬°¬O "¤£½T©wªº" (indeterminate)¡C
¨Ò¦p¡A§Ú̳oùئ³¤T±ø¤èµ{¦¡¥i¥Î¡]¥±§@¹Ï¯à³B²zªº°ÝÃD¡A¦³ x¡By ¤À¶qªº²b¤O³£¬°¹s¡A¥H¤Îª«¥ó¤£¨ü²b¤O¯x¡A¦@¤TÓ±ø¥ó¡^¡A¦pªG¦³¥|Ó¥¼ª¾ªº¤O©Î¤O¯x«Ý¨D¸Ñ¡]¦p¥|Ó®à¸}ªº¨ü¤O¡^¡A´N·|Åܦ¨ indeterminate °ÝÃD¡]¤TÓ¸}ªº®à¤l¤Ï¦Ó¥i¸Ñ¡^¡C
µM¦Ó¡A¯u¹ê¥@¬É¤¤³o¨Ç¨t²ÎÁ`¬O¦³¬YÓ¤O¦s¦b¡A¨º¨ì©³¥»¸`ªº¤èªk¤¤¬O¤Ö¤F¤°»ò¡H³oÓ°ÝÃDªºµª®×¬O¡A§Ṳ́@¶}©l´N§âª«Åé°²³]¦¨¬OèÅé¡A¨S¦³µ·²@§ÎÅÜ¥i¯à¤Î¼u©Êªº¡C
½Ò¥»´£¨ì¡A¤£Ãªº¥|¸}À\®à¡A§Ú̱`·|§äӯȧé¤@§é¨Ó¹Ô¡C¦pªG¬O¤@ÀY¤j¶H¨Ó§¤¦b®à±¤W¡A¦b®à¤l¨S³Q§¤«±ªº±¡ªp¤U¡A§ÚÌ¥i¥H·Q¹³¥|¤ä¸}³£¬Oµ²¹êµÛ¦aªº¡A¦]¬°®à±¦ÛµM·|§ÎÅܨӦ]À³¡C
n¸Ñ¨M³oÓ "¤£½T©w©Ê" °ÝÃDªº¨D¸Ñ¡A´Nn¤Þ¤J¹ïª«Åé "¼u©Ê (elasticity)" ªº±´°Q¡C
¬ì¾Çª±¨ã¡GTheo Jansen ªº ¥é¥ÍÃ~
¾Ç¬ã ¤j¤Hªºª±¨ã http://www.youtube.com/watch?feature=endscreen&NR=1&v=qAVv0uM0UvI
http://www.ted.com/talks/theo_jansen_creates_new_creatures.html
http://www.youtube.com/watch?v=WcR7U2tuNoY
¼u©Ê (Elastisity)
¤Z¬Oª«½è¥²¦³¼u©Ê¡]¨ü¤O¥²§ÎÅÜ¡^¡A±q·LÆ[¨¤«×¦Ó¨¥¡Aª«½è¥Ñì¤lºc¦¨¡A¦Óì¤l¤§¶¡¦³¼u®¬Û³s¬O¤@Ó±`¨£ªº¼Ò«¬¡C¦]¦¹§Ṳ́£¥²·N¥~¤Z¬O´NÀ³¸Ó·|¦³§ÎÅÜ¡C
À³¤O (Stress)
¨C³æ¦ì±¿nªº§ÎÅܤO
À³ÅÜ (Strain)
³æ¦ì§ÎÅÜ
À³¤O = ¼Ò¼Æ × À³ÅÜ
±`¨£ªº¤TºØÀ³¤OÀ³ÅÜ
±iÀ³¤O¡B°ÅÀ³¤O¡B¬yÅéÀ³¤O¡A¨£½Ò¥»¹Ï 12-10¡C
¼u©Ê¡]½u©Ê¡^¡BÅܧΨìÂ_µõ
¹Ï 12-12 Åã¥Ü¤F À³¤O¡ÐÀ³Åܦ±½u ( stress-starin curve )
¤j©ó °¥ñ±j«× (yield strength) Sy ¤§«á¡A·|³y¦¨¥Ã¤[ÅܧΡA¨£ªí 12-1
¤j©ó ·¥±j«× (ultimate strength) Sr ¤§«á¡A·|³y¦¨Â_µõ¡A¨£ªí 12-1
±iÀ³¤O (tensile stress) ©Î À£ÁYÀ³¤O (compressive stress)
F / A = E (ΔL / L )
¨ä¼Ò¼Æ E ¥s·¨¤ó«Y¼Æ (Young's modulus) ¡A¨£ªí 12-1
ΔL / L ¥i¥H¥Î strain gage ¨Ó¶q¡A¨£¹Ï 12-13
°ÅÀ³¤O
F / A = G (Δx / L)
G ¬O °Å¤O¼Ò¼Æ (shear modulus)
¬yÅéÀ³¤O (Hydraulic stress)
§YÀ£¤O
p = B (ΔV / V)
B ¬O ¶ôÅé¼Ò¶q (Bulk modulus)
¨ÒÃD¡G12-6 ¤T¸}¼µ¦aªº¥|¸}®à
«¤O (Gravity)
¤û¹yªº¸U¦³¤Þ¤O©w«ß
Ä«ªGªº¬G¨Æ»P¸U¦³¤Þ¤Oªºµo²{
¤T¤@¾Ç°|ªºÄ«ªG¾ð
§@·~¡G§J¤R°Çªº¥Í¥»P°^Äm
¤Þ¤O©w«ß
F = G m1 m2 / r2
¤û¹yªº²y´ß²z½×
§¡¤Ã²y´ß¹ï´ß¥~¤@ÂIªº¤Þ¤O¡Aµ¥©ó±N«¶q¶°¤¤©ó²y¤ß®É¡A¹ï¸Ó½èÂIªº§l¤Þ¤O¡C¡]·L¿n¤À¥iÃÒ©ú¤§¡^
¦aªíªþªñªº«¤O
F = m (G M / (R+r)2) = m g
¦]¬° R >> r¡A¬G g ≈ GM/R ¬°¤@±`¼Æ
¦a²y¤º³¡ªº«¤O
§Q¥Î²y´ß²z½×¡]¤@¼Ë¥i¥H¥Î·L¿n¤ÀÃÒ©ú¡^¡A²y´ß¤º³¡ªº¥ô¤@ÂI¡A¨ü²y´ßªº«¤O¬°¹s¡C
§J¤R°Ç¤T¤j¦æ¬P©w«ß
¤@¡By¹D©w«ß
¤G¡B±¿n©w«ß
¤T¡B¶g´Á©w«ß
½Ã¬Pªºy¹D¤Î¯à¶q
§â«¤O³õ»P¶ê©P¹B°Ê¦V¤ß¥[³t«×¹º¤W¦u¸¹¡A±o GMm/r2 = m v2/r
K = (1/2) m v2 = (1/2) GMm/r
K = -U/2 ¡]¶ê§Îy¹D¡^
E = -K ¡]¶ê§Îy¹D¡^
·R¦]´µ©Zªº¼s¸q¬Û¹ï½×»P«¤O
µ¥®Äì²z
¦]¥[³t¦Ó·P¨ü¨ìªº«¶q»P¤Þ¤O¦Ó·P¨ü¨ìªº¬O¤@¼Ë¡B°Ï¤À¤£¥X¨Óªºªº¡A¦p¥Ü·N¹Ï 13-19
«¤Oªº¦¨¦]¬OÅs¦±ªÅ¶¡
«¤O·|¤Þ°_Ås¦±ªÅ¶¡¤v¦³¤Ñ¤åÆ[´ú¤WªºÃÒ©ú
¨ÒÃD
12-6 ¤T¸}¼µ¦aªº¥|¸}®à