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¤G¡B¦³ÃöÂù¦VÅs¦±¡B¯ÂÅs¦±¡B©Î´_¦XÅs¦±¤§­pºâºI­±§ÜÅs±j«×¤§°ÝÃD¥i¥Îªñ¦ü¤èªk¡A±Ä¥Î¤U¦CÃþ«¬¤§¤¬°Ê¤èµ{¦¡¡G

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﴿ £\ +
MRd,y
﴿ £\ = 1
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MRd,xo¡A MRd,yo «DÂù¦VÅs¦±©Î«D»P¤@¥¿¦V¤ONRd¤§´_¦XÅs¦±¤§³]­p§ÜÅs±j«×¡A¤À¦¨x¡Ay¥¿¥æ¶b¤§¤À¶q¡F

£\ ¾­¡A¨ä­ÈÀH¤£¦P¦]¼Æ¦Ó©w¡A¤@¯ë¥]¬A¥¿¦V¤O­È¡AºI­±´X¦ó§Îª¬¤Î°tµ¬²v¡F·í¦b¯x§ÎºI­±¥|Ã䤧°tµ¬¬Û¦P®É¡A£\¥i¨ú¬°1.2¡F¨ä¥¦±¡ªp¬°¦w¥þ°_¨£¡A£\¥i¨ú¬°1.0¡C

¤T¡B¦b¤ÀªRºI­±©Ó¨üÅs¯x¤Î¤@²Ó¤p¥¿¦V¤O®É¡A¦p¥¿¦V¤O¤Ö©ó0.08fck ­¼¥HºI­±­±¿n¡A¨ä®ÄÀ³¥i¥H¤£¥[²z·|¡C

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¤@¡B¥»±ø¾A¥Î©ó«ö¤W±ø©Ò§@§ÜÅs³]­p¤§¼Ù¤ÎªO¡A¦P®É¥ç¾A¥Î©ó«ö¤W±ø¤Î²Ä¤­¤Q¤@±ø©Ò³]­p©Ó¨ü¤j°Å¤O¤§¹w¨îºc¥ó¤Î¬W¡C

¤G¡B·í­pºâ°Å¤O®ÉÅã¥Ü¤£»Ý°tµ¬¡A¤@¯ëÀ³±Ä¥Î³Ì¤p°tµ¬¡C·íºc¥ó¦³¨¬°÷¯à¤O±N²ü¸ü¾î¦V¦a¤À°t¤Î¨ä©Ò¨ü¤§©Ô¤O¤£¤j®É¡A¸Ó³Ì¤p°tµ¬«h¥i§K°£¡A¨Ò¦p¥Î©óªOºc¥ó¤W¡]¹ê¤ßªO¡A¦ØªO¡AªÅ¤ßªO¡^¡C·í¹ï©Ó¸ü¤O¤Îí©w©ÊµL¤j¼vÅT¤§«D­«­nºc¥ó¡]¨Ò¦p¸ó«×¤p©ó2m¤§¹L¼Ù¡^¡A¸Ó³Ì¤p°tµ¬¥ç¥i§K°£¡C

¤T¡B°Å¤O­pºâ¤èªk°ò©ó¤TºØ§Ü°Å¤O­È¡G

VRd1 ¤£°t¸m°Å¤Oµ¬ºc¥ó¤§§Ü°Å¤O³]­p­È¡F

VRd2 °²³]²V¾®¤g¨üÀ£±ì©Ò¯à©Ó¨ü¤§³Ì¤j§Ü°Å¤O³]­p­È¡F

VRd3 °t¦³°Å¤Oµ¬ºc¥ó¤§³Ì¤j§Ü°Å¤O³]­p­È¡C

¥|¡B¤£°t¸m°Å¤Oµ¬ºc¥ó¤§§Ü°Å¤O³]­p­ÈVRd1­pºâ¦p¤U¡G

VRd1 = [τRd k ( 1.2 + 40 £l1) + 0.15 σcp ] bwd

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£nRd  ­pºâ§Ü°Å¤O¤§°Ñ¦Ò­È¡A¨ä­Èµ¥©ó 0.25 fctd¡A¸Ô¨£ªí¤»¡F

k ·íºc¥ó¤¤¶W¹L50%¤§©³µ¬³Q«d´î®É¡A¨ä­Èµ¥©ó1¡F¨ä¥L±¡ªp¡Gk=1.6-d¡]d­È¥H¦Ì¬°³æ¦ì¡^¡F

£l1= Asl/(bw d)  ≤ 0.02¡F

Asl ¨ü©Ô¿ûµ¬­±¿n¡A¦b©Ò¦Ò¼{¤§ºI­±«á©µªø¤£¤Ö©ód+lb, net ¤§ªø«×¡]¨£¹Ï¤C¡^¡F

lb,net ¦b²Ä¤C¤Q¤C±ø¤Î¹Ï¤Q¥|¤¤¸ÑÄÀ¡F

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d ºI­±¤§¦³®Ä²`«×¡F

£mcp NSd / Ac¡F

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²V¾®¤g¯Å§O B15 B20 B25 B30 B35 B40 B45 B50 B55 B60
£nRd 0.18 0.22 0.25 0.30 0.33 0.35 0.38 0.42 0.45 0.48

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VRd2 = £nRd2 bw d

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£nRd2 = 0.45 £ov fcd

£ov = 0.7 - fck / 200 ≥ 0.5

ªí¤C £nRd2 À³¤O­È

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VRd3 = Vcd + Vwd

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¤C¡BVwd ¤§­ÈÀ³¥Ñ¥H¤U¤½¦¡­pºâ¡G

Vwd = 0.9 d (Asw/S) fsyd (1+cotg £\) sin £\

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d ¦³®Ä°ª«×¡F

Asw °Å¤Oµ¬ºI­±­±¿n¡]¥ÎãTµ¬®É¡AÀ³¥]¬A©Ò¦³¤£¦PªÏ¼Æ¡^¡F

s °Å¤Oµ¬¤§¶¡¶Z¡F

fsyd °Å¤Oµ¬¤§³]­p©}ªA±j«×©Î0.2%³W©w«D¤ñ¨Ò¦ùªø±j«×¡F

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¤K¡B·íºI­±¥~¥[°Å¤O³]­p­ÈVsd¤Ö©óVRd1®É¡A¤£»Ý°t¸m°Å¤Oµ¬¡A¦ý¤£¥]¬A²Ä¤K¤Q¤C±ø©Ò«ü¤§³Ì¤p°tµ¬¡C

¤E¡B·íºI­±VSd¤j©óVRd1®É¡AÀ³°t¸m°Å¤Oµ¬¥H½T«O¥H¤U±¡ªp¡G

VSd ≤VRd3

¤Q¡B¦b¥ô¦óºc¥ó¤ÎºI­±¡A°Å¤O³]­p­ÈÀ³¤£¤j©óVRd2¡C·íºc¥ó©Ó¨üÁa¦VÀ£¤O®É¡AVRd2À³«ö¥H¤Uµ{¦¡§é´î¡G

VRd2,red = 1.67 VRd2 ( 1 - £mcp,ef / fcd) ≤ VRd2

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VRd2,red  §é´î«á¤§VRd2 ­È¡F

£mcp,ef ¥ÑÁa¦V¤O©Ò²£¥Í¤§¦³®Ä¥­§¡À³¤O¡A«ö¥H¤U¤½¦¡­pºâ¡G

£mcp,ef = ( NSd - fsyd As2 ) / Ac;

NSd Áa¦V¤O³]­p­È¡F

As2  ¨üÀ£°Ï¤º°tµ¬­±¿n¡F

Ac²V¾®¤gºI­±Á`­±¿n¡C

¤Q¤@¡B¹ï¨S°t°Å¤Oµ¬¤§ºc¥ó¤Î°t¦³°Å¤Oµ¬¦Ó¤Sº¡¨¬¤U´Ú±¡ªp¤§ºc¥ó¡A¥i¤¹³\¼W¥[¨ä§Ü°Å±j«×¡C¦ý¥u¾A¥Î©ó¶ZÂ÷¤ä©Ó­± x ≤2.5d ½d³ò¤º¤§¶°¤¤²ü¸ü¡C¬°¦¹¡A¦b­pºâVRd1®É¥i¦b £nRd ­¼¤W¤@«Y¼Æ£]v¦p¤U¡G

£]v = 2.5 d / x¡@¦Ó 1.0 ≤£]v≤5.0

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·í¼Ù¤W¥D­n²ü¸ü«Y¤@±µªñ¤ä©Ó¤§¶°¤¤²ü¸ü®É¡A¤W­z¤èªk¥i¯à¾É­P±Ä¥Î³Ì§C°tµ¬©ó¾ã±ø¼Ù¤W¡C³o±¡ªp»Ý¤p¤ß³B²z¡A³]­pªÌ¥i¿ï¾Ü¥H¥¼¼W­È¤§VRd1¨Ó­p©è§Ü¤O¡C

¤Q¤G¡B¦]¬°±µªñ¤ä©Ó¦Ó¯àª½±µ¶Ç°e²ü¸ü¡A©è§Ü¤O¦³©Ò¼W±j¡A¥Î©ó§¡§G²ü¸ü¤§¼Ù©ÎªO®É¡A¤@¯ë¦b¶ZÂ÷¤ä©Ó­±d¤§¦ì¸m©Ò­pºâ¤§³]­p°Å¤O­ÈVSd¬°¸û«O¦u¡C

·í±Ä¥Î«ö¤W´Ú¹ï±µªñ¤ä©Ó©Ò¼W¥[¤§§Ü°Å±j«×®É¡AÀ³º¡¨¬¤U¦C±ø¥ó¡G

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b¡^¦b¥~¤ä©ÓºÝ¡A¦ì©ó¶ZÂ÷¤ä©Ó2.5d½d³ò¤º¤§©Ò»Ý¨ü©Ôµ¬À³Áã©T©ó¤ä©Ó¤º¡F

c¡^¦b¤º¤ä©ÓºÝ¡A¦ì©ó¤ä©Ó­±©Ò»Ý¨ü©Ôµ¬À³©µ¦ù¤J³s±µ¸ó¤@ªø«×¤£¤Ö©ó2.5 d +lb.net¡C

¤Q¤T¡B¦b­pºâ bw ®É¡A¼Ù¸¡ºI¦Ó¦P¤@¤ô¥­¤W¡A­Y¿ûµ¬©Î¿ûµ±¤§ª½®|¤j©ó¸Ó¤ô¥­ºI­±¼e«×¤K¤À¤@®É¡A­pºâ¼e«×«hÀ³´î¥h¸ÓºI­±¤ô¥­©Ò¦³¿ûµ¬ª½®|Á`©M¤§¤@¥b¡C

¤Q¥|¡B¦³±×¿ûµ±¤§¹wÀ³¤Oºc¥ó©ÎÅܺI­±ºc¥óÀ³¦Ò¼{¦X¤O®ÄÀ³¡A¥~¥[¾î¦V¤O®Õ¥¿¬°¹wÀ³¤O¤§¾î¦V¤À¶q©Î®ì¬[¤ô¥­¤O¡C

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¤@¡B¥»±ø¤§³W«h«Y¹ï«ö²Ä¥|¤Q¤»±øÅs¯x­n¨D¦Ó°tµ¬¤§ªOºc¥ó§@¨R¤Á©Ó¸ü¤O½T©w¡C¥ç¦P®É¾A¥Î©ó¦aªO¤Î©ó²ü¸ü½d³ò¦³¹ê¤ßºI­±¤§®æ¤lªO¤W¡C¨R¤Á¤O¥i¥Ñ¤@¶°¤¤²ü¸ü©Ò²£¥Í¡A©Î¥Ñ»PªO­±¿n©Î©Ó¥x­±¿n¬Û¤ñ¤U«Ü²Ó¤§¤Ï¤O­±¿n©Ò­P¡C

¤G¡B¨R¤Á©Ó¸ü¤OÀ³ªu¤@©w¸q¤§Á{¬É½ü¹ø½u¤W§@½T©w¡C¦b¸ÓÁ{¬ÉÂ_­±¥~³ò¡AªO¥ó­n²Å¦X²Ä¥|¤Q¤C±ø©Ò©w¤§­n¨D¡C­YªO«p¤£¯à½T«O¦³¨¬°÷¤§¨R¤Á©Ó¸ü¤O®É¡AÀ³¥Î¦p¾î¦V¿ûµ¬©Î¬W«aµ¥¡C

¤T¡BÁ{¬É­±¿n«Y«üÁ{¬É½ü¹ø½u¤º¤§­±¿n¡CÁ{¬ÉºI­±«üªuÁ{¬É½ü¹ø½u©µ¦ù¦Ü¦³®Ä²`«×d¤§½d³ò¡C

¥|¡B¥»±ø©Ò­z¤§³W«h¾A¥Î©ó²ü¸ü½d³ò¦³¹ê¤ßºI­±¤§®æ¤lªO¤W¡A¦ý¸Ó¹ê¤ßºI­±»Ý¦bÁ{¬É½ü¹ø½u¥~©µ¦ù¤£¤Ö©ó1.5d¡C

¤­¡B¥»¤£±ø¤§³W©w¾A¥Î©ó¥H¤UºØÃþ¤§¨ü²ü­±¿n®e³\¨ü²ü­±¿n¤£¤Ó±µªñ¨ä¥L¶°¤¤¤O¦Ó¥OÁ{¬É½ü¹ø½u¬Û¥æ¤Î¤£¦ì©ó¨ü¤£¦P¦¨¦]¤§­«­n°Å¤O¼vÅT½d³ò¤§¤º¡C

¡X¡X¶ê§Î¡Aª½®|¤£¤j©ó3.5d¡F
¡X¡Xªø¤è§Î¡A¨ä©P¬É¤£¤j©ó11d¤Îªø»P¼e¤§¤ñ¨Ò¤£¤j©ó2¡F
¡X¡X¥ô¦ó§Îª¬¡A¨ä¬É­­¤Ø¤o«ö¼ÒÀÀ¤W­±©Ò­z¤§§Îª¬¨Ó¨î©w¡C

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¤»¡B­YÀð©Î¤è¼Î¤£¯àº¡¨¬1¡]a¡^¤§±ø¥ó®É¡A¦]Àð§Î¤ä©Ó¤§°Å¤O¶°¤¤©ó¨¤¶¨¡A·íµL¶i¦æ§ó¸Ô²Ó¤ÀªR¡A¨äÁ{¬É½ü¹ø½u¥i«ö¹Ï¤K§@¦Ò¼{¡C

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¤C¡B»·Â÷«D¤ä©ÓÃä¶ê§Î©Î¤è§Î²ü¸ü¤§Á{¬É½ü¹ø½u©Pªø«Y«ü¶ZÂ÷²ü¸ü­±¥~1.5d½d³ò¤§©Pªø¡C¨£¹Ï¤E¡C

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¤K¡B·í²ü¸ü­±±µªñ¶}¤Õ®É¡A§Y²ü¸ü­±»P¶}¤Õ³Ìµu¶ZÂ÷¤£¤j©ó6d¡A¨äÁ{¬É½ü¹ø½u©Pªø»P±q¶}¤Õ¥~§Î©M²ü¸ü­±¤¤¤ß©Ò¹º¥X¨â±ø¤Á½u½d³ò¤º¬Û¥æ¤§¤@Â_ªø«×§@¬°µL®Ä¡C¨£¹Ï¤Q¡C

¹Ï¤Q¡G±µªñ¶}¤Õ¤§Á{¬É½ü¹ø½u©Pªø

¤E¡B·í²ü¸ü­±±µªñ¤@«D¤ä©ÓÃä©Î¨¤¶¨®É¡A¨äÁ{¬É½ü¹ø½u©PªøÀ³«ö¹Ï¤Q¤@¨ú¥Î¡A¦ý©Ò±o¤§©Pªø¡]¤£¥]¬A«D¤ä©ÓÃ䤧¤@¬q¡^À³¤Ö©ó¥»±ø²Ä¤C´Ú¤Î²Ä¤K´Ú¨î©w¤§©Pªø¡C*

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¤Q¡B¥H¤U´X´Ú¦³Ãö¨R¤Á¤O½T©w¤èªk°ò©ó¤TºØ¨R¤Á¤O­È¡G

VRd1 ¤£°t¸m¾î¦Vµ¬ªO¤WÁ{¬É½ü¹ø½u¨C³æ¦ìªø«×¤§¨R¤Á©Ó¸ü¤O³]­p­È¡F

VRd2 °t¦³¾î¦Vµ¬ªO¤WÁ{¬É½ü¹ø½u¨C³æ¦ìªø«×¤§³Ì¤j¨R¤Á©Ó¸ü¤O³]­p­È¡F

VRd3 °t¦³¾î¦Vµ¬ªO¤WÁ{¬É½ü¹ø½u¨C³æ¦ìªø«×¤§¨R¤Á©Ó¸ü¤O³]­p­È¡C

¤Q¤@¡B­Y VSd ≤VRd1 ®É¡A¤£»Ý°t¸m¾î¦Vµ¬¡C·í VSd ¤j©ó VRd1®É¡AÀ³±Ä¥Î¤@¾î¦V°tµ¬¡A¦ý«O«ù VSd ≤VRd3¡C

¤Q¤G¡B¦b¤@¶°¤¤²ü¸ü©Î¤ä©Ó¤Ï¤O¡A©Ò¬I¥[¤§¨C³æ¦ìªø«×¨R¤Á¤O¬°¡G

 VSd  =  VSd£]p /  u

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VSd  Á`¥~¥[¨R¤Á¤O³]­p­È¡]¹ïªOºc¥ó¡A¸Ó­Èªu©P¬Éu­pºâ¡F ¹ï©Ó¥x¡A¸Ó­Èªu¨R¤ÁÀ@©³©Ò¹º¥X¤§©P¬É­pºâ¡AÀ@±×Ã䬰 33.7oC¡^¡F

u Á{¬É½ü¹ø½u©P¬É¡F

£]p ¦Ò¼{²ü¸ü°¾¤ß®ÄÀ³¤§¨t¼Æ¡]­YµL°¾¤ß±¡ªp¡A£]p¥i³]¬° 1.0¡^¡A±Ä¥Î¥H¤U¼Æ­È¡G

a¡^¶ê§Î²ü¸ü­±¡]©ÎÃþ¦ü§Îª¬¡^¡G

ßp = 1 +
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¤Q¤T¡B¤£°t¸m¾î¦Vµ¬«D¹wÀ³¤OªO¤WÁ{¬É½ü¹ø½u¨C³æ¦ìªø«×¤§¨R¤Á©Ó¸ü¤O³]­p­È¡AVRd1 ¡A­pºâ¦p¤U¡G

VRd1 = £nRd k (1.2 + 40£l£d ) d

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£nRd ªí¤»©Ò¥Ü¤§À³¤O­È¡F

k = 1.6 - d ≥ 1.0 ¡]d­È¥H¦Ì­pºâ¡^¡F

ρι =
ριx ριy
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£l£dx ¤Î£l£dy¡@x¤Îy¤è¦V¤§©Ô¤O¿ûµ¬¡F

d = (dx + dy ) / 2¡F

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¤Q¥|¡B¤£°t¸m¾î¦Vµ¬¹wÀ³¤OªO¤WÁ{¬É½ü¹ø½u¨C³æ¦ìªø«×¤§¨R¤Á©Ó¸ü¤O³]­p­ÈVRd1 ¡A±q«e­±¤@ÂI©Ò±o¡AÀ³¥]¬A¦Ò¼{¥H¤U¡G

ρι =
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£mcpo = Npd / Ac¡F

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VRd2 = 1.6VRd1

VRd3 = VRd1 + £UAsw fsyd sin£\ / u

¬I¥[¤O¤è¦V¤§¾î¦Vµ¬´£¨Ñ¤À¤OÁ`©M¥Ñ£UAsw fsyd sin£\ ¥Nªí¡A£\«üªO¥­­±¤Î¿ûµ¬©Ò¦¨¤§¨¤¡C

¤Q¤»¡B¬°½T«O¯à²£¥Í¨R¤Á§Ü¤O¡AªOºc¥óÀ³¦bx¤Îy¤è¦V³]­p¥H¨C³æ¦ìªø«×¤§³Ì§CÅs¯x­È msdx ¤Î msdy¡F°£«D¥Ñµ²ºc¤ÀªR¤¤Àò±o§ó°ª¤§­È¡]¨£¹Ï¤Q¤G¡^¡C­YµL¨ä¥L³]¬I¡AÀ³º¡¨¬¥H¤U¡G

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VSd ¥~¥[¨R¤Á¤O¡F

n ¥Ü©óªí¤K¤§Ås¯x«Y¼Æ¡C

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¬W¦ì¸m MSdx¤§n MSdy¤§n
­± ©³ ¦³®Ä寛«× ­± ©³ ¦³®Ä寛«×
¤º¬W -0.125 0 0.3 ly -0.125 0 0.3 lx
¥~¬W¡AªOÃäx¶b¥­¦æ -0.25 0 0.15 ly -0.125 +0.125 (¨C¦Ì)
¥~¬W¡AªOÃäy¶b¥­¦æ -0.125 +0.125 (¨C¦Ì) -0.25 0 0.15 lx
¨¤¬W -0.5 +0.5 (¨C¦Ì) +0.5 -0.5 (¨C¦Ì)

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¤@¡B·í¤@µ²ºcÅ餧ÀR¤O¥­¿Å«Y¨ü¸Óµ²ºcºc¥ó¤§§Ü§á¯à¤O¼vÅT®É¡A»Ý­n¹ï§á¤O¶i¦æ³]­p¡C¦bÀR©wµ²ºcÅé¡A§á¤O¥u¥Ñ¬Û®e©Ê©Ò¤Þ°_¡A¦Ó·íµ²ºcÅ餧í©w©Ê¨Ã«Dµø¥G¨ä§Ü§á¯à¤O®É¡A¦b·¥­­ª¬ºA®É¤£»Ý§@¦Ò¼{¡A¦ý»Ý¹ï¨Ï¥Î·¥­­ª¬ºA¤¤¤§¶}µõ§@­­¨î¡C

¤G¡B¨ü§áºc¥ó¤§¹ê¤ß©ÎªÅ¤ßºI­±§Ü§á¯à¤O³]­p­È­pºâÀ³¥H¨üÀ£²V¾®¤g±ì¡BºI­±©P³ò¨ü©Ô¾î¦V¤ÎÁa¦V¿ûµ¬©Ò²Õ¦¨¤§ºÞª¬®ì¬[¬°°ò¥»¡C

¥~¥[§á¯x³]­p­ÈTSd À³º¡¨¬¤U­±¨â­Ó±ø¥ó¡G

TSd ≤TRd1

TSd ≤TRd2

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TRd1 ²V¾®¤g¨üÀ£±ì©Ò¯à©Ó¨ü¤§³Ì¤j§á¯x¡F

TRd2 ¿ûµ¬©Ò¯à©Ó¨ü¤§³Ì¤j§á¯x¡C

¤T¡B²V¾®¤g¨üÀ£±ì©Ò¯à©Ó¨ü¤§³Ì¤j§á¯xTRd1­pºâ¦p¤U¡G

TRd1 = £ot fcd t Ak = 1.56 £nRd2 tAk*

* ½Ð¬d¾\¡G§ó¥¿

¦¹³B¡G

t ­ìºI­±¤§°²³]Á¡¾ÀºI­±¤§¾À«p¡]t ≤A/u¡A¤£¤p©óÁa¦V¿û µ¬«OÅ@¼h«×¨â­¿¤Î¤£¤j©ó¯u¥¿¤§Àð«p¡^¡F

u ¥~½ü¹ø©Pªø¡F

A ¥~½ü¹ø©Ò©w¸q¤§¾î¦VºI­±Á`­±¿n¡F

Ak ­ìºI­±¤§°²³]Á¡¾ÀºI­±¤¤½u¤º©Ò¥]¬A¤§­±¿n¡F

£nRd2 ªí¤C©w¸q¤§­È¡F*

* ½Ð¬d¾\¡G§ó¥¿

£ot = 0.7 x (0.7 - fck / 200 )≥0.35

¥|¡B¿ûµ¬©Ò¯à©Ó¨ü¤§³Ì¤j§á¯x³]­p­ÈTRd2­pºâ¦p¤U¡G

TRd2 = 2AkfsydAsw / s

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Asw ©Ò±Ä¥Î¤§ãTµ¬¤§¾î¦VºI­±­±¿n¡F

s ãTµ¬¶¡¶Z¡F

fsyd §á¤O¾î¦V¿ûµ¬¤§©}ªA±j«×©Î0.2%«D¤ñ¨Ò¦ùªø±j«×¡C

¤­¡Bªþ¥[§á¤OÁa¦V¿ûµ¬­±¿nAsl­pºâ¦p¤U¡G

Asl = [ TRd2¡@uk / ( 2 Ak ) ] / fsyd *

* ½Ð¬d¾\¡G§ó¥¿

¦¹³B¡G

uk¡@¡@Ak¤§©Pªø¡C

²Ä¤­¤Q±ø

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¤@¡B·íºI­±©Ó¨ü§á¤O¥[¯ÂÅs¯x©Î´_¦XÅsµu®É¡A¨ä§Ü¤OÀ³¥Ñ¨C¤@¥~¤O¿W¥ß­pºâ¡A§á¤O¤ÎÅs¯x¤§Áa¦V¿ûµ¬¥ç¤À¶}¦Ò¼{¡C

¤G¡B·íºI­±©Ó¨ü§á¤O¥[°Å¤O®É¡A¥~¥[°Å¤O¤Î§á¯x³]­p­È VSd ¤ÎTSdÀ³º¡¨¬¥H¤U±ø¥ó¡G

VSd
﴿ 2 +
TSd
﴿ 2 ≤ 1
VRd2 ¡@ TRd1 ¡@

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VRd2, TRd1 °Å§Ü¤O¤Î§á¯x§Ü¤O·í³æ¿W­pºâ®É¤§³Ì¤j­È¡A±q¤U¦C¤½¦¡¨D±o¡G

VRd2 = 0.45£ov fcd bw d = £nRd2 bw d *

* ½Ð¬d¾\¡G§ó¥¿

TRd1 = £ot fcd t Ak = 1.56 £nRd 2t Ak *

* ½Ð¬d¾\¡G§ó¥¿

£nRd2, £ov, £ot, t, Ak¦b²Ä¥|¤Q¤C±ø¤Î²Ä¥|¤Q¤E±ø¤¤»¡©ú¡C *

* ½Ð¬d¾\¡G§ó¥¿

°Å¤O¤Î§á¯x¤§¾î¦V°tµ¬©Ò¥Î¤§ãTµ¬¥i³v¤@«ö²Ä¥|¤Q¤C±ø¤Î²Ä¥|¤Q¤E±ø«ü¥Ü¤§³W«h¤À§O¦a­pºâ¡C

²Ä¤G³¹

¦³Ãö®À¦±·¥­­ª¬ºA¤§¦w¥þ½T»{

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¤@¯ë³W©w

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¥»³¹¤§³W«h«Y¦³Ãö®À¦±·¥­­ª¬ºA¤§¦w¥þ½T»{¡A¹ï«ö²Ä¤Q¤­±ø²Ä¤K´Ú©Ò©w¥Ñ¼Ù¤Î¬W©Ò²Õ¦¨¤§«DÂ\°Ê©ÎÂ\°Ê®ì¬[µ²ºc¤¤¤£¯à³Q©¿µø¤§¤G¶¥®ÄÀ³§@¦Ò¼{¡C

²Ä¤­¤Q¤G±ø

¬W¤§²Óªø«×¡A®À¦±µ¥®Äªø«×

¤@¡B©T©wºI­±¬Wºc¥ó¤§²Óªø«×¡A£f¡A¦b¨C¤@¤è¦V¥i§@¥H¤U¸ÑÄÀ¡G

£f = lo / i

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lo ¦b¦Ò¼{¤§¤è¦V¤§®À¦±µ¥®Äªø«×¡F

i ¦b¦Ò¼{¤§¤è¦V³æ¥Ñ²V¾®¤g²Õ¦¨¤§¾î¦VºI­±¦^Âà¥b®|¡C

¦b¤@¨Ç±¡ªp¤U¡A²Óªø«×£fÀ³¤£¤j©ó140¡C

¤G¡B¬W¤§®À¦±µ¥®Äªø«× lo «Y«ü¬W³Ì²×Ås¯x¤À§G¤¤¨âÂI¹s­È¤§¶ZÂ÷¡C

­pºâ®ì¬[µ²ºc¤¤¬W¤§µ¥®Äªø«× lo ¶·¦Ò¼{ª«²z¤Î´X¦ó«D½u©Ê¡C¤@¯ë±¡ªp¡Alo¥i¥Î¥H¤U²¤Æ©w¸q¡G

lo = £bl

¦¹³Bl«üºc¥ó¤§¦Û¥Ñªø«×¡A£b«Y®Ú¾Ú¨âºÝ¤ä©Óª¬ªp©Ò³]¤§¨t¼Æ¥B¥i±Ä¥Î¥H¤U¼Æ­È¡G

«DÂ\°Êµ²ºc¤§¬W¡G±Ä¥H¤U¤§¸û¤p­È¡G

£b = 0.7 + 0.05 (£\1 + £\2) ≤1

£b = 0.85 + 0.05 £\min ≤1

Â\°Êµ²ºc¤§¬W¡A±Ä¥H¤U¤§¸û¤p­È¡G

£b = 1.0 + 0.15 (£\1 + £\2)

£b = 2.0 + 0.3£\min

¦¹³B¡G

£\1  ¬W¤@ºÝ¤§°Ñ¼Æ¡A¥Ñ³s±µ¸ÓºÝ¤§¬W­è«×Á`©M»P¼Ù­è«×Á`©M¤§Ãö«Y¦ÓÀò±o¡F
£\2  ¸ò£\1©w¸q¬Û¦P¡A¦ý«ü¬W¤§¥t¤@ºÝ¡F
£\min   £\¤¤¤§¸û¤p­È¡C

·í¬W¤§¤@ºÝ³s±µ°ò¦®É¡A¶·¦Ò¼{¥H¤U¤§£\­È¡G

¬W»P°ò¸}¦¨¥b­è©Êµ²ÂI¡G£\ = 1¡F

¬W»P°ò¸}¦¨­è©Êµ²ÂI¡G¡]¨Ò¦p¤j«¬¼Î´U¡^¡G £\ = 0¡F

¬W»P°ò¸}µ²ÂI¤£¤¹³\¶Ç°eÅs¯x¡F£\ = 10¡C

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µ²ºc¦w¥þ½T©w

¤@¡B¦³Ãöµ²ºc®À¦±·¥­­ª¬ºA¤§¦w¥þ½T©wÀ³±Ä¥Î²Ä¥|¤Q¥|±ø©Ó¸ü¤O·¥­­ª¬ºA¤¤¤§¤À¶µ¦w¥þ¨t¼Æ¡A¥çÀ³¦Ò¼{µ²ºc¤§ª«²z¤Î´X¦ó«D½u©Êªí²{¡C

¤G¡B¦Ò¼{«DÂ\°Êµ²ºc®É¡A¨ä¦w¥þ°ÝÃD¥i²²¤¬°½T©w¨C¤@®Ú¬W¤§¦w¥þ¡A±Ä¥Î¥»³¹B³¡¤À©Ò«ü¤§¤èªk¡A«ö²Ä¤­¤Q¤G±ø­pºâµ¥®Äªø«×¤Î«ö²Å¦X²Ä¤Q¤C±ø­n¨D¤§µ²ºc½u©Ê¤ÀªR¤¤Àò¨ú¬W¨âºÝ¤W¤§¤O¡C

¤T¡B¦Ò¼{Â\°Êµ²ºc®É¡A­Yµ²ÂI¤£©È¥¢Ã­¡A±o«öÃþ¦ü¥»±ø²Ä¤G´Ú¤§¤èªk¶i¦æ¡A¨C¤@¼h¤§¨C¤@¬W¤§²Óªø«×¨ú¥Î¸Ó¼h©Ò¦³¬W¤§²Óªø«×¤§¥­§¡­È¡A¦ý¨C¤@¬W¤§©Ó¸ü¤O¤£¥i¤j©ó¸Ó¬W¦b«DÂ\°Êµ²ºc±¡ªp¤U¤§©Ó¸ü¤O¡C

¦³Ãöµ²ºc¤§®À¦±¦w¥þ½T©w«Y¬Û·í½ÆÂø¡A¥ç¥]§t­n¹ï¬Û³s¦bµ²ÂI¤W¤§ºc¥ó¤§³Ì²×ÅܧΦ³»{ÃÑ¡A¥[¤J¦Ò¼{¦]ÅܧΦӹï²ü¸ü©Ò²£¥Í¤§¼vÅT¡]´X¦ó«D½u©Ê¡^¤Î¦]À³¤O¦Ó¾É­Pºc¥ó­è«×¯S©Ê¤§§ïÅÜ¡]ª«²z«D½u©Ê¡^¡C

¦ý¦b¤@¯ë²Å¦X¬Y¨Ç­­©w¤§µ²ºc¡A¥i±Ä¥Î¥»±ø©Ò­z¤§Â²¤Æ¤èªk¡C¦¹³B»¡©úÀ³ª`·N¦³¤Q¤À²Óªø¬W¤§Â\°Êµ²ºc¡A·|²£¥Í¤j¤ô¥­¤è¦VÅܧΡA¤W­z¤§¤èªk¥i¾É­P¯Ê¥F¯u¹ê©Ê¤Î¦w¥þ©Ê¤§µ²ªG¡F³oÃþ±¡§Î¶·¥Î¸ûºë½T¤§¤ÀªR¤èªk¡C

²Ä¤G¸`

¬W¤§¦w¥þ½T©w

²Ä¤­¤Q¥|±ø

¦w¥þ½T©w¼Ð·Ç

¤@¡B¬W¤§®À¦±¦w¥þ½T©w¤@¯ë±o²¤Æ¬°À£¤O´_¦XÅs¦±¤U¤§©Ó¸ü¯à¤O·¥­­ª¬ºA½T©w¡C¸Ó½T©wÀ³³v¤@¦Ò¼{¬WºI­±´k©Ê¤§¨C¤@¥D­n¤è¦V¡A¥ç­nªþ¥[½T©w¦P®Éµo¥Í¦b¨â­Ó¤è¦V¤§®ÄÀ³¡C·í¦]¤£¦P±µ³s±¡ªp¤U¥O¬W¤§¥ô¦ó¤@´k©Ê¥D­n¤è¦V¤§Á{¬ÉºI­±¤£¥X²{¦b¬W¤§¦P¤@¦ì¸m¤W®É¡A§Y¥i¬Ù²¤³oªþ¥[½T©w¡C

¦ý·íº¡¨¬¥»±ø²Ä¥|´Ú©Ò«ü¤§±¡ªp®É¡A¥i¥H¤£¶i¦æ¬W¤§®À¦±¦w¥þ½T©w¡C

¤G¡B¨C¤@¤è¦V¤§¦w¥þ½T©wÀ³¦Ò¼{©óÁ{¬ÉºI­±¸Ó¤è¦V¤§¥~¥[³]­pÅs¯xMsd¡]©w¸q¨£²Ä¤­¤Q¤­±ø¡^¡A¦A¼W¥[¥H¤U¤½¦¡Åã¥Ü¤§Ås¯x¡G

NSd (ea+e2+ec)

¦¹³BNSd«ü¥~¥[³]­pÁa¦V¤O¡A¦Ó¨ä¥¦¥N¸¹¥Nªí©ó²Ä¤­¤Q¤»±ø©w¸q¦b¦Ò¼{¤è¦V¤W¤§ªþ¥[°¾¤ß¶Z¡F¤W­±¤§½T©w¤£»Ý¦Ò¼{¦b¥t¤@¤è¦V¤§Ås¯x©Ò²£¥Í¤§Âù¦VÅs¦±§@¥Î¡C

¥»±ø²Ä¤@´Ú©Ò­z¤§ªþ¥[½T©w«Y¤@Âù¦VÅs¦±½T©w¡A¬°¨D²¤Æ¡A¥i±Ä¥Î¤@½u©Ê¬Û¥æ§@¥Îªí¥Ü¦p¤U¡G

M¡¦Sd,x
+
M¡¦Sd,y
1
MRd,xo MRd,yo

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M¡¦sd,x = MSd,x + NSd (ea,x + e2,x + ec,x)

M¡¦Sd,y = MSd,y + NSd (ea,y + e2,y + ec,y)

¤ÎMRd,xo»PMRd,yo«Y´k©Ê¤§¨â¥D­n¤è¦V¦b«DÂùÅs¦±±¡ªp¤U»P¤@Áa¦V¤ONSd¤§´_¦XÅs¯x©Ó¸ü¯à¤O¡C

¦b¥X²{¥H¤U¥ô¦ó¤@ºØ±ø¥ó¤§±¡ªp¤¤¡A®À¦±¦w¥þ½T©w¥i³Q§K°£¡G

·í¥~¥[Ås¯x¤ÎÁa¦V¤O¡AMSd »PNSd¤§Ãö«Y¦p¤U¡G

MSd/NSd > 3.5 h ­Y £f < 70
MSd/NSd >  3.5 h (£f/70) ­Y £f > 70

¦¹³Bh¥NªíºI­±°ª«×¡F

¦bÂ\°Êµ²ºc¤W¡A·í¬W¤§²Óªø«×¤£¤j©ó35¡A¤Î¦b«DÂ\°Êµ²ºc¤W¡Aº¡¨¬¤U­±­n¨D¡G

£f≤50 -15 MSd,b / MSd,a

¦¹³BMSd,b»PMSd,a ¨ã­«­n©Ê¤Î¨ä¥¿­t­È¦b²Ä¤­¤Q¤­±ø²Ä¤G´Ú»¡©ú¡A¦Ó£f«h«ü²Ä¤­¤Q¤G±ø²Ä¤@´Ú©Ò­z¤§²Óªø«×¡C

ª`·N¤W­±¦U¦³Ãö¬W®À¦±¦w¥þ½T©w¤è¦¡¥ç¦ÛµM¦a¥Î¦b¨ä¥L¨üÀ£ºc¥ó¤W¡A¦p¤ä¼µ¬W¡A¨üÀ£¤O¼vÅT¤§¼Ù¡AÀðµ¥µ¥¡C¤W­z¤§³W¨Ò¥u§â¬WÂkÃþ¡A­ì¦]«Y¦b¤j¦h±¡ªp¤U¡Aµo¥Í¦b¬W¤W¤§®À¦±²{¹³¸û¬°ÅãµÛ¡C

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Á{¬ÉºI­±¤§¥~¥[Ås¯x

¤@¡B¹ïÄÝ©óÂ\°Êµ²ºc¤§¬W¡A¨äÁ{¬ÉºI­±¦ì¸m¥i©w¬°¬W¤§¨âºÝ¡A¦]¦¹¡A¨ä³]­pÅs¯xMSd¨ú¥Î©ó¸Ó¦ì¸m¤W¤§¥~¥[Ås¯x¡A¦Ó¨ä¦w¥þ½T©wÀ³«ö²Ä¤­¤Q¥|±ø©Ò«Ø¥ß¤§¼Ð·Ç¶i¦æ¡C

¤G¡B¹ïÄÝ©ó«DÂ\°Êµ²ºc¤§¬W¡A¨äÁ{¬ÉºI­±¤@¯ë¤£¦ì©ó¬W¤§¨âºÝ¡]¦Ó¬O¦b¬W¨­¡^¡A³]­pÅs¯x»Ý¨ú¥H¤U¨â¤½¦¡¸û¤j¤§­È¡G

MSd = 0.6 MSd,a + 0.4 MSd,b

MSd = 0.4 MSd,a

¦¹³BMSd,a¤ÎMSd,b«Y¨âºÝ¤§³]­p¥~¥[Ås¯x¡A°²³]¡ýMSd,a¡ý ≥¡ýMSd,b¡ý¡A·í¾É­P¬W³æ¦±ÅܧΡA¨â¼Æ¤§¥¿­t­È¬Û¦P¡A¦Ó·í¾É­P¬WÂù¦±ÅܧΡA«h¨â¼Æ¤§¥¿­t­È¬Û¤Ï¡C

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ªþ¥[°¾¤ß¶Z

¤@¡B²Ä¤­¤Q¥|±ø©Ò­z¤§ªþ¥[°¾¤ß­È ea, e2¤Îec ¤À§O«ü°¸µM°¾¤ß¶Z¡A¤G¶¥°¾¤ß¶Z¡A¤Î²V¾®¤gįÅÜ°¾¤ß¶Z¡AÀ³«ö¥H¤U´X´Ú¨Ó¨î©w¨ä­È¡A¤Î¨ú¥Î®É·N·|¨ì¦b©Ò¦Ò¼{¤§Ås¦±­±¤W¤§³Ì¤£§Q±¡ªp¡C

¤G¡B°¸µM°¾¤ß¶Z ea ¥Øªº«Y¥]¬A¬W¬I¤u®É´X¦ó»~®t©Î¥~¥[¦X¤O¯Ê¥F©Ò»Ý¦ì¸m¤§®ÄÀ³¡A¨î©w¨ä­È®ÉÀ³«ö­Ó§O±¡ªp¶i¦æ¡C¦b´¶³q±¡ªp¤U¡Aea ¥i¨ú¬Ûµ¥©ólo/300¡A¦ý¤£¤Ö©ó20 mm¡Alo «ü²Ä¤­¤Q¤G±ø©Ò©w¸q¤§µ¥®Äªø«×¡C

¤T¡B¤G¶¥°¾¤ß¶Z e2¬ÛÀ³©ó¬WÅs¦±©Ò¾É­P¦bÁ{¬ÉºI­±¤W¡]M¡¦Rd - NSd e2¡^¦³³Ì¤j¤§®t¡A¦¹³BM¡¦Rd«Y»Pe2¬Û®e¤§Ås¯x©è§Ü¤O¡A³æ¥ÑNSd©Ò¼vÅT¦P®É²Å¦X²Ä¥|¤Q¤»±ø¤¤¤§°²³]¡C

¥i¤¹³\³]©w°¾¤ß¶Ze2»P¬WÁ{¬ÉºI­±Ås¦±1/r¤§Ãö«Y¦p¤U¡G

e2 =
1
l02
r 10

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1
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x 10-3 £b
r h

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£b =
0.4 fcd Ac
NSd

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¥|¡B²V¾®¤gįÅÜ°¾¤ß¶Z¥Øªº«Y¥]¬A¦]įÅÜ®ÄÀ³©Ò¾É­P¤§¼W¤jÅܧΡA¨î©w¨ä­È®ÉÀ³«ö¥~¥[¤O¤Î²V¾®¤g¤§¬yÅܯS©Ê¨Ó¶i¦æ¡C

¦b´¶³q±¡ªp¡A¸Ó°¾¤ß¶Z¥i±q¥H¤U¤½¦¡¨D±o¡G

ec =
MSg
+ ea ﴿ [ exp
£pc(t¡Û,t0)NSg
﴿ - 1 ]
NSg NE - NSg

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MSg, NSg ¥Ã¤[§@¥Î¤U¤§¥~¥[¤O¡]¦]¦Ó²£¥ÍįÅÜ¡^¡A­pºâ®É¤£¥Î¤À¶µ¦w¥þ«Y¼Æ£^f¡F
ea ·N¥~°¾¤ß­È¡A¦b²Ä¤­¤Q¤»±ø²Ä¤G´Ú¤º©w¸q¡F
£pc(t¡Ût0)  Ä¯ÅÜ«Y¼Æ¡A¤@¯ë³]¬°2.5¡F
NE EulerÁ{¬ÉÀ£¤O¡A©w¬°10EC,28 lc / lo2¡A¦¹³B EC,28 «ü²V¾®¤g¼u©Ê¼Ò¶q¡Alc«ü¬WºI­±²V¾®¤g­±¿n¦b©Ò¦Ò¼{¤è¦V¤§ºD©Ê¯x¡A¦Ó lo«h«üµ¥®Äªø«×¡C

 ·í½T©w¥H¤U¨ä¤¤¤§¤@±ø¥ó®É¡A²V¾®¤gįÅÜ°¾¤ß­È§Y¥i¬Ù²¤¡G

MSd/NSd ≥ 2.0 h

£f ≤ 70

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¤@¡B¥¿±`¨Ï¥Î·¥­­ª¬ºA¤§¦w¥þ½T©w¤@¯ëÀ³¥H©w¸q¸Ó·¥­­ª¬ºA¤§°Ñ¼Æ¬°¨Ì¾Ú¡A¦Ó©Ò¤Þ¥Î¤§°Ñ¼Æ­È¥çÀ³¤j©ó©Î¬Ûµ¥©ó±q§@¥Î¡B²Õ¦X¤Î RSA¤º¨î©w­È³W«h¤¤©Ò±o¤§­È¡C

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¤T¡B«ö RSA¡A¥¿±`¨Ï¥Î·¥­­ª¬ºA¤¤¤§§@¥Î¡]¥Ã¤[©Î¥iÅÜ¡^¤À¶µ¦w¥þ«Y¼Æ£^f¤Î§÷®Æ¤À¶µ¦w¥þ«Y¼Æ£^m¡AÀ³³]¬°1.0¡C

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