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Published by nongpairat, 2023-09-03 22:46:13

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วัสดุก่อสร้าง

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ê Ć üĂ÷ Š ćÜÖćøĂĂÖĒïïï š ćî 2 ß Ć Ě î ý.éø.Ăöø óĉöćîöćý øý.éø.ðøĊéć ĕß÷öĀćüĆî Ēïïï š ćî 2 ß Ć Ě î ïšćî 2 ßĆĚî ×îćéóČĚîìĊę 155 êø.ö. 3 ĀšĂÜîĂî 3 ĀšĂÜîĞĚć ĒðúîóČĚîßĆĚîúŠćÜ


ĒðúîóČĚîßĆĚîïî ĒðúîĀúĆÜÙć


ø Ď ðéš ćî éšćî 1 éšćî 2 éšćî 3 éšćî 4 ø Ď ðéš ćî


ø Ď ðêĆ é A-A ø Ď ðêĆ é B-B


ĒðúîÿëćðŦ ê÷Öøøö Æ ĒðúîēÙøÜÿøš ćÜ ĒðúîÿëćðŦê÷ÖøøöóČĚîßĆĚîúŠćÜ ĒðúîēÙøÜÿøšćÜóČĚîßĆĚîúŠćÜ ĒðúîÿëćðŦ ê÷Öøøö Æ ĒðúîēÙøÜÿøš ćÜ ĒðúîÿëćðŦê÷ÖøøöóČĚîßĆĚîïî ĒðúîēÙøÜÿøšćÜóČĚîßĆĚîïî


ĒðúîēÙøÜĀúĆ ÜÙć ĒðúîÿëćðŦê÷ÖøøöĀúĆÜÙć ĒðúîēÙøÜÿøšćÜĀúĆÜÙć ĒðúîåćîøćÖ


× š ĂÖ ĞćĀîéĔîÖćøĂĂÖĒïï ‡ ĔßšÙĂîÖøĊêÖĞćúĆÜĂĆé 240 ÖÖ./àö. 2 ìøÜÖøąïĂÖ ‡ đĀúĘÖđÿøĉöĀúĆÖ SD30 ÖĞćúĆÜéċÜÙøćÖ 3000 ÖÖ./àö. 2 ‡ đĀúĘÖðúĂÖ SR24 ÖĞćúĆÜéċÜÙøćÖ 2,400 ÖÖ./àö. 2 ‡ îĞĚćĀîĆÖïøøìčÖÝø 150 ÖÖ./àö. 2 ‡ ĂĉåÖŠĂÙøċęÜĒñŠî 180 ÖÖ./ö. 2 ‡ ĀîŠü÷îĞĚćĀîĆÖÙĂîÖøĊê 2,400 ÖÖ./ö. 3 ‡ ĀîŠü÷îĞĚćĀîĆÖÖøąđïČĚĂÜðĎóČĚîøüöüĆÿéčøĂÜ 50 ÖÖ./ö. 2 ‡ öćêøåćîÖćøĂĂÖĒïï üÿì 1008-38 ĂÜÙ Ť ĂćÙćøì ĊęĂĂÖĒïï ‡ óČĚî ‡ ïĆîĕé ‡ Ùćî ‡ đÿć (đÿćßĆĚî 1, đÿćßĆĚî 2 , đÿćêĂöŠĂ) ‡ åćîøćÖ


ĂĂÖĒïïó Č Ě î óČĚîöĊÙćîøĆéøĂï 4 éšćî … óČĚî S1ßĆĚîúŠćÜ ×îćé 1.3x1.9m … óČĚî S2 ßĆĚîïî ×îćé 1.8x3.6m … óČĚî S4 ßĆĚîïî ×îćé 1.9x1.7m … óČĚî S5 ßĆĚîïî ×îćé 1.8x1.9m … ÝąđĀĘîüŠć S2 öĊóČĚîìĊęöćÖìÿĊę éč éĆÜîĆĚî ĂĂÖĒïïđóĊ÷Ü S2 ĒúšüĔßšðøĉöćè đĀúĘÖđÿøĉöđìŠćÖĆîĀöé ^Ϯ ^ϰ ^ϱ 1.8m 3.6m ĂĂÖĒïïó Č Ě î S2 ‡ ĂĆêøćÿŠüîéšćîÿĆĚî/éšćî÷ćü = S/L =1.8/3.6 = 0.50 > 0.50 đðŨîóČĚîÿĂÜìćÜ ‡ ÖĞćĀîéÙüćöĀîć ÙüćöĀîć×ĆĚîêĞęć 8 àö. đÿšîøĂïøĎð/180 = 2x(180+360)/180 = 6 àö. ĔßšÙüćöĀîćóČĚî t = 10 àö. ÙŠćöćÖ


ĂĂÖĒïïó Č Ě î S2 ‡ ðøąöćèîĞĚćĀîĆÖïøøìčÖ îĞĚćĀîĆÖïøøìčÖêć÷êĆü = 0.10x2400=240 ÖÖ./ö2 îĞĚćĀîĆÖüĆÿéčðĎóČĚî = 50 ÖÖ./ö2 îĞĚćĀîĆÖïøøìčÖÝø = 150 ÖÖ./ö. 2 îĞĚćĀîĆÖïøøìčÖðøąúĆ÷ Wu = 1.4DL+1.7LL ēöđöîêŤéšćîÿĆĚî Mus =Cs.Wu.S2 ēöđöîêŤéšćî÷ćü Mul =Cl.Wu.S2 Wu 1.4 240  50 1.7 u150 661 ÖÖ./ö. … ēöđöîêŤéĆé ‡ n µ­ ´¤ž¦³­· š› Í · ­ Î µ®¦ ´Ã¤Á¤œ˜r нҕ њкѕѥњ Moment ѝѥўі Ѽ Ѥэm 1 0.9 0.8 0.7 0.6 fi 0.5 ъѫдзҕѥ діцѨнҕ њкёьѓѥѕѲь Ѫҟ ѱєѯєьшјэҙ чѥьъ Җ шѨѷ ҕѠѯьѠкд Ѫѷ Ѥь 0.033 0.040 0.048 0.055 0.063 0.083 0.033 чѥьъ Җ ѳєѨѷ ҕшҕѠѯьѠкд Ѫѷ Ѥь 0.000 0.000 0.000 0.000 0.000 0.000 0.000 ѱєѯєьшэњдъ ҙ дѨѷ кдјѥкн ѩѷ ҕ њк 0.025 0.030 0.036 0.041 0.047 0.062 0.025 діцѨѳєҕшҕѠѯьѠкд Ѫѷ ьчѤ ѥьѯч Җ ѕњѨ ѱєѯєьшјэҙ чѥьъ Җ шѨѷ ҕѠѯьѠкд Ѫѷ Ѥь 0.041 0.048 0.055 0.062 0.069 0.085 0.041 чѥьъ Җ ѳєѨѷ ҕшҕѠѯьѠкд Ѫѷ Ѥь 0.021 0.024 0.027 0.031 0.035 0.042 0.021 ѱєѯєьшэњдъ ҙ дѨѷ кдјѥкн ѩѷ ҕ њк 0.031 0.036 0.041 0.047 0.052 0.064 0.031 діцѨѳєҕшҕѠѯьѠкд Ѫѷ ьѝѠкч Ѥ ѥьҖ ѱєѯєьшјэҙ чѥьъ Җ шѨѷ ҕѠѯьѠкд Ѫѷ Ѥь 0.049 0.057 0.064 0.071 0.078 0.090 0.049 чѥьъ Җ ѳєѨѷ ҕшҕѠѯьѠкд Ѫѷ Ѥь 0.025 0.028 0.032 0.036 0.039 0.045 0.025 ѱєѯєьшэњдъ ҙ дѨѷ кдјѥкн ѩѷ ҕ њк 0.037 0.043 0.048 0.054 0.059 0.068 0.037 діцѨѳєҕшҕѠѯьѠкд Ѫѷ ьѝѥєч Ѥ ѥьҖ ѱєѯєьшјэҙ чѥьъ Җ шѨѷ ҕѠѯьѠкд Ѫѷ Ѥь 0.058 0.066 0.074 0.082 0.090 0.098 0.058 чѥьъ Җ ѳєѨѷ ҕшҕѠѯьѠкд Ѫѷ Ѥь 0.029 0.033 0.037 0.041 0.045 0.049 0.029 ѱєѯєьшэњдъ ҙ дѨѷ кдјѥкн ѩѷ ҕ њк 0.044 0.005 0.056 0.062 0.068 0.074 0.044 ѱєѯєьшјэҙ чѥьъ Җ шѨѷ ҕѠѯьѠкд Ѫѷ Ѥь 0.000 0.000 0.000 0.000 0.000 0.000 0.000 чѥьъ Җ ѳєѨѷ ҕшҕѠѯьѠкд Ѫѷ Ѥь 0.033 0.038 0.043 0.047 0.053 0.055 0.033 ѱєѯєьшэњдъ ҙ дѨѷ кдјѥкн ѩѷ ҕ њк 0.050 0.057 0.064 0.072 0.080 0.083 0.050 діцѨѳєҕшҕѠѯьѠкд Ѫѷ ьъѤ кѝѤҟ чѨѷ ѥьҖ нҕ њкѝѤ ьѸ m = S /L


ēöđöîêŤ é Ć é Ēúąðøĉ öćèđĀú Ę Öđÿø ĉ ö 0.055 661 1.8 118 2 u u  Mus ēöđöîêŤúïéšćîÿĆĚî ÖÖ.-ö./ö. ēöđöîêŤïüÖéšćîÿĆĚî 0.083 661 1.8 178 2 u u  Mus ÖÖ.-ö./ö. ēöđöîêŤúïéšćî÷ćü 0.033 661 1.5 49.08 2 u u  Mul ÖÖ.-ö./ö. ēöđöîêŤïüÖéšćî÷ćü 0.050 661 1.5 74.36 2 u u  Mul ÖÖ.-ö./ö. S=1.8m L=3.6m 118 kg  m/m 118 kg  m/m 178 kg  m/m 74.36 kg  m/m 49.08 kg  m/m 49.08 kg  m/m d cm d 7.05 10 2.5 0.9/2   d 6.15cm ÿööčêĉĔßšđĀúĘÖđÿøöĉ RB9 ðøĉ öćèđĀú Ę Öđÿø ĉ ö ksc bd M R u 2.64 100 7.05 / 118 100/0.9 2 2 u u I ēöđöîêŤúïéšćîÿĆĚî 0.0011 2,400 2 11.76 2.64 1 1 11.76 2 1 1 1 1 ¸ ¸ ¹ · ¨ ¨ © § u u   ¸ ¸ ¹ · ¨ ¨ © §   yf mR m U 11.76 0.85 240 2400 0.85 u c c y f f m As bd 0.0011 100 7.05 0.78 cm /m 2 U u u 0.0519 6,120 2,400 6,120 2,400 240 0.85 0.85 6,120 6,120 0.85 1 ¸ ¸ ¹ · ¨ ¨ © §  ¸ ¸ ¹ · ¨ ¨ © § u ¸ ¸ ¹ · ¨ ¨ © § ¸  ¸ ¹ · ¨ ¨ © § c y y c b f f f U E


ðøĉ öćèđĀú Ę Öđÿø ĉ ö As 0.0025bt 0.0025 100 10 2.5 cm /m 2 u u đĀúĘÖđÿøĉö×ĆĚîêĞęć Ĕßš RB9 @0.25 As 0.9 /0.25 2.54 cm /m 2.5 cm /m OK 4 2 2 2 ! S đĀúĘÖđÿøĉöÖĆîøšćü °¯ ° ® ­ u u u A cm m f bd cm m A scal y s 1.33 1.33 0.78 1.04 / (14/ ) (14/2,400) 100 7.05 4.11 / min 2 2 As 0.75 bbd 0.75 0.0519 100 7.05 27.44 cm /m 2 đĀúĘÖđÿøĉöÿĎÜÿčé max U u u u 9 ðøĉ öćèđĀú Ę Öđÿø ĉ ö ksc bd M R u 3.98 100 7.05 / 178 100/0.9 2 2 u u I ēöđöîêŤïüÖéšćîÿĆĚî 0.0017 2,400 2 11.76 3.98 1 1 11.76 2 1 1 1 1 ¸ ¸ ¹ · ¨ ¨ © § u u   ¸ ¸ ¹ · ¨ ¨ © §   yf mR m U 11.76 0.85 240 2400 0.85 u c c y f f m As bd 0.0017 100 7.05 1.2 cm /m 2 U u u 0.0519 6,120 2,400 6,120 2,400 240 0.85 0.85 6,120 6,120 0.85 1 ¸ ¸ ¹ · ¨ ¨ © §  ¸ ¸ ¹ · ¨ ¨ © § u ¸ ¸ ¹ · ¨ ¨ © § ¸  ¸ ¹ · ¨ ¨ © § c y y c b f f f U E


ðøĉ öćèđĀú Ę Öđÿø ĉ ö Ĕßš RB9 @0.25 As 0.9 /0.25 2.54 cm /m 2.5 cm /m OK 4 2 2 2 ! S As 0.0025bt 0.0025 100 10 2.5 cm /m 2 u u đĀúĘÖđÿøĉö×ĆĚîêĞęć đĀúĘÖđÿøĉöÖĆîøšćü °¯ ° ® ­ u u u A cm m f bd cm m A scal y s 1.33 1.33 1.2 1.60 / (14/ ) (14/2,400) 100 7.05 4.11 / min 2 2 đĀúĘÖđÿøĉöÿĎÜÿčé As 0.75 bbd 0.75 0.0519 100 7.05 27.44 cm /m 2 max U u u u 9 ðøĉ öćèđĀú Ę Öđÿø ĉ ö ksc bd M R u 1.44 100 6.15 / 49.08 100/0.9 2 2 u u I ēöđöîêŤúïéšćî÷ćü 0.0006 2,400 2 11.76 1.44 1 1 11.76 2 1 1 1 1 ¸ ¸ ¹ · ¨ ¨ © § u u   ¸ ¸ ¹ · ¨ ¨ © §   yf mR m U 11.76 0.85 240 2400 0.85 u c c y f f m As bd 0.0006 100 6.15 0.37 cm /m 2 U u u 0.0519 6,120 2,400 6,120 2,400 240 0.85 0.85 6,120 6,120 0.85 1 ¸ ¸ ¹ · ¨ ¨ © §  ¸ ¸ ¹ · ¨ ¨ © § u ¸ ¸ ¹ · ¨ ¨ © § ¸  ¸ ¹ · ¨ ¨ © § c y y c b f f f U E


ðøĉ öćèđĀú Ę Öđÿø ĉ ö Ĕßš RB9 @0.250 As 0.9 /0.25 2.54 cm /m 2.5 cm /m OK 4 2 2 2 ! S As 0.0025bt 0.0025 100 10 2.5 cm /m 2 u u đĀúĘÖđÿøĉö×ĆĚîêĞęć đĀúĘÖđÿøĉöÖĆîøšćü °¯ ° ® ­ u u u A cm m f bd cm m A scal y s 1.33 1.33 0.37 0.49 / (14/ ) (14/2400) 100 6.15 3.59 / min 2 2 As 0.75 bbd 0.75 0.0519 100 6.15 23.94 cm /m 2 đĀúĘÖđÿøĉöÿĎÜÿčé max U u u u 9 ðøĉ öćèđĀú Ę Öđÿø ĉ ö ksc bd M R u 2.18 100 6.15 / 74.36 100/0.9 2 2 u u ēöđöîêŤïüÖéšćî÷ćü I 0.0009 2,400 2 11.76 2.18 1 1 11.76 2 1 1 1 1 ¸ ¸ ¹ · ¨ ¨ © § u u   ¸ ¸ ¹ · ¨ ¨ © §   yf mR m U 11.76 0.85 240 2400 0.85 u c c y f f m As bd 0.0009 100 6.15 0.55 cm /m 2 U u u 0.0519 6,120 2,400 6,120 2,400 240 0.85 0.85 6,120 6,120 0.85 1 ¸ ¸ ¹ · ¨ ¨ © §  ¸ ¸ ¹ · ¨ ¨ © § u ¸ ¸ ¹ · ¨ ¨ © § ¸  ¸ ¹ · ¨ ¨ © § c y y c b f f f U E


ðøĉ öćèđĀú Ę Öđÿø ĉ ö As 0.0025bt 0.0025 100 10 2.5 cm /m 2 đĀúĘÖđÿøĉöÖĆîøšćü u u Ĕßš RB9 @0.25 As 0.9 /0.25 2.54 cm /m 2.5 cm /m OK 4 2 2 2 ! S đĀúĘÖđÿøĉö×ĆĚîêĞęć °¯ ° ® ­ u u u A cm m f bd cm m A scal y s 1.33 1.33 0.55 0.73 / (14/ ) (14/2,400) 100 6.15 3.59 / min 2 2 đĀúĘÖđÿøĉöÿĎÜÿčé As 0.75 bbd 0.75 0.0519 100 6.15 23.94 cm /m 2 max U u u u 9 øć÷úąđĂ Ċ ÷éÖćøđÿø ĉ öđĀú ĘÖĔîóČ Ě î Ĕßš ßČęĂüŠćóČĚî S1


ĂĂÖĒïïó Č Ě î S3 óČĚî S3 öĊÙćîøĆéøĂï 4 éšćî … óČĚî S3 ßĆĚîïî ×îćé 0.6x3.4m … ĂĆêøćÿŠüîéšćîÿĆĚîêŠĂéšćî÷ćü S/L = 0.6/3.4 = 0.18 < 0.5 éĆÜîĆĚîđðŨî óČĚîìćÜđéĊ÷ü ^ϯ 3.4m 0.6 m đöČęĂĔßšđĀúĘÖ f y =2400 ÙüćöĀîć×ĆĚîêĞęć L/25= 60/25 = 2.4 àö. éĆÜîĆĚîĔßšÙüćöĀîć 10 àö. d=10-2.5-0.9/2=7.05 àö. ÿööčêĉĔßšđĀúĘÖ 9 öö. ĂĂÖĒïïó Č Ě î S3 ‡ ðøąöćèîĞĚćĀîĆÖïøøìčÖ îĞĚćĀîĆÖïøøìčÖêć÷êĆü = 0.10x2400=240 ÖÖ./ö2 îĞĚćĀîĆÖüĆÿéčðĎóČĚî = 50 ÖÖ./ö2 îĞĚćĀîĆÖïøøìčÖÝø = 150 ÖÖ./ö. 2 îĞĚćĀîĆÖïøøìčÖðøąúĆ÷ Wu = 1.4DL+1.7LL ēöđöîêŤéšćîÿĆĚî Ms =(1/8)Wu.S2 Ms =(1/8)x661x0.62 =29.7 ÖÖ.-ö./ö. Wu 1.4 240  50 1.7 u150 661 ÖÖ./ö. … ēöđöîêŤéĆé


ðøĉ öćèđĀú Ę Öđÿø ĉ ö ksc bd M R u 0.66 100 7.05 / 29.7 100/0.9 2 2 u u I ēöđöîêŤúïéšćîÿĆĚî 0.0003 2,400 2 11.76 0.66 1 1 11.76 2 1 1 1 1 ¸ ¸ ¹ · ¨ ¨ © § u u   ¸ ¸ ¹ · ¨ ¨ © §   yf mR m U 11.76 0.85 240 2400 0.85 u c c y f f m As bd 0.0003 100 7.05 0.21cm /m 2 U u u 0.0519 6,120 2,400 6,120 2,400 240 0.85 0.85 6,120 6,120 0.85 1 ¸ ¸ ¹ · ¨ ¨ © §  ¸ ¸ ¹ · ¨ ¨ © § u ¸ ¸ ¹ · ¨ ¨ © § ¸  ¸ ¹ · ¨ ¨ © § c y y c b f f f U E ðøĉ öćèđĀú Ę Öđÿø ĉ ö As 0.0025bt 0.0025 100 10 2.5 cm /m 2 u u đĀúĘÖđÿøĉö×ĆĚîêĞęć Ĕßš RB9 @0.25 As 0.9 /0.25 2.54 cm /m 2.5 cm /m OK 4 2 2 2 ! S đĀúĘÖđÿøĉöÖĆîøšćü °¯ ° ® ­ u u u A cm m f bd cm m A scal y s 1.33 1.33 0.21 0.28 / (14/ ) (14/2,400) 100 7.05 4.11 / min 2 2 As 0.75 bbd 0.75 0.0519 100 7.05 27.44 cm /m 2 đĀúĘÖđÿøĉöÿĎÜÿčé max U u u u 9 ìĆĚÜéšćîÿĆĚîĒúąéšćî÷ćü


øć÷úąđĂ Ċ ÷éÖćøđÿø ĉ öđĀú ĘÖĔîóČ Ě î Ĕßš ßČęĂüŠćóČĚî S2 0.10 ĂĂÖĒïïó Č Ě î S6, S7, S8 óČĚî S6, S7 Ēúą S8 đðŨîóČĚî÷Čęî (ÖĆîÿćé) … óČĚî S6 Ēúą S7 öĊøą÷ą ÷Čęî 1.5m … óČĚî S8 öĊøą÷ą÷îČę 1.2m … éĆÜîĆĚîĂĂÖĒïïēé÷Ĕßšøą÷ą÷îČę 1.5 m ĒúąìĞćÖćøđÿøĉöđĀúÖđĀö Ę ĂîÖ Č Ćî ^ϲ 1.2m 1.5 m đöČęĂĔßšđĀúĘÖ f y =2,400 ksc ÙüćöĀîć×ĆĚîêĞęć L/12.5= 150/12.5 = 12 àö. éĆÜîĆĚîĔßšÙüćöĀîć 12 àö. d=12-2.5-0.9/2=9.05 àö. ÿööčêĉĔßšđĀúĘÖ 9 öö. ^ϳ ^ ϴ


ĂĂÖĒïïó Č Ě î S6, S7, S8 ‡ ðøąöćèîĞĚćĀîĆÖïøøìčÖ îĞĚćĀîĆÖïøøìčÖêć÷êĆü = 0.12x2400=288 ÖÖ./ö2 îĞĚćĀîĆÖüĆÿéčðĎóČĚî = 50 ÖÖ./ö2 îĞĚćĀîĆÖïøøìčÖÝø = 100 ÖÖ./ö. 2 îĞĚćĀîĆÖïøøìčÖðøąúĆ÷ Wu = 1.4DL+1.7LL ēöđöîêŤ Ms =(1/2)Wu.L2 Ms =(1/2)x643.2x1.52 =723.6 ÖÖ.-ö./ö. Wu 1.4 288  50 1.7 u100 643.2 ÖÖ./ö. … ēöđöîêŤéĆé ðøĉ öćèđĀú Ę Öđÿø ĉ ö ksc bd M R u 9.82 100 9.05 / 723.6 100/0.9 2 2 u u I ēöđöîêŤúïéšćîÿĆĚî 0.0042 2,400 2 11.76 9.82 1 1 11.76 2 1 1 1 1 ¸ ¸ ¹ · ¨ ¨ © § u u   ¸ ¸ ¹ · ¨ ¨ © §   yf mR m U 11.76 0.85 240 2400 0.85 u c c y f f m As bd 0.0042 100 9.05 3.80 cm /m 2 U u u 0.0519 6,120 2,400 6,120 2,400 240 0.85 0.85 6,120 6,120 0.85 1 ¸ ¸ ¹ · ¨ ¨ © §  ¸ ¸ ¹ · ¨ ¨ © § u ¸ ¸ ¹ · ¨ ¨ © § ¸  ¸ ¹ · ¨ ¨ © § c y y c b f f f U E


ðøĉ öćèđĀú Ę Öđÿø ĉ ö As 0.0025bt 0.0025 100 12 3.00 cm /m 2 u u đĀúĘÖđÿøĉö×ĆĚîêĞęć Ĕßš RB9 @0.12 éšćîÿĆĚî As 0.9 /0.12 5.30 cm /m 5.05 cm /m OK 4 2 2 2 ! S đĀúĘÖđÿøĉöÖĆîøšćü °¯ ° ® ­ u u u A cm m f bd cm m A scal y s 1.33 1.33 3.80 5.05 / (14/ ) (14/2,400) 100 9.05 5.28 / min 2 2 As 0.75 bbd 0.75 0.0519 100 7.05 27.44 cm /m 2 đĀúĘÖđÿøĉöÿĎÜÿčé max U u u u 9 Ĕßš RB9 @0.20 éšćî÷ćü As 0.9 /0.20 3.18 cm /m 3.00 cm /m OK 4 2 2 2 ! S øć÷úąđĂ Ċ ÷éÖćøđÿø ĉ öđĀú ĘÖĔîóČ Ě î Ĕßš ßČęĂüŠćóČĚî S3 B


ĂĂÖĒïïï Ćîĕé S1 ïĆîĕé S1 đðŨîïĆîĕéóćéߊüÜđéĊ÷ü … öĊߊüÜóćé 3.6 ö. ÙüćöÿĎÜ 2.02 … úĎÖêĆĚÜ = 2.02/11 =0.184 ö. … úĎÖîĂî = 2.5/10=0.25 ö. … ÙüćöĀîćóČĚî×ĆĚîêĞęć =(0.4+fy /7000)Ln/20 =(0.4+3,000/7,000)x(3.6-0.2)/20 =0.14 ö. … éĆÜîĆĚîĔßšÙüćöĀîć 15 àö. Āöć÷đĀêč : ĔßšđĀúĘÖ DB12 SD30 đðŨîđĀúĘÖđÿøĉöđĂÖ ÿööčêĉĔĀÙćîÖü š šćÜ 0.2 ö. ×ĆĚîêĂîìĊę 1 Āć×îćéïĆîĕé …îĞĚćĀîĆÖóČĚîïĆîĕé …îĞĚćĀîĆÖ×ĆĚîïĆîĕé …îĞĚćĀîĆÖïøøìčÖÝø =300 kg/m2 …îĞĚćĀîĆÖĒñŠøüö Wu=1.4DL+1.7LL = 1.4(447+221)+1.7x300 = 1,445 kg/m2 …óĉÝćøèćïĆîĕéÖüšćÜ 1 ö. Wu = 1,445 kg/m ×ĆĚîêĂîìĊę 2 ĀćîĞĚćĀîĆÖïøøìčÖìćÜøćï 2 2 2 2400 447 / 0.25 0.25 0.184 0.15 u kg m ¸ ¸ ¸ ¹ · ¨ ¨ ¨ © §  u 2 2400 221 / 0.25 0.25 0.184 2 1 ¸ u kg m ¹ · ¨ © § u ¸ u ¹ · ¨ © §


…ēöđöîêŤðøąúĆ÷ …đúČĂÖĔßš …ÙĞćîüèÙŠć R ÝćÖ ×ĆĚîêĂîìĊę 3 êøüÝÿĂïÙüćöĀîć×ĂÜóČĚî kg m w L M u u  u 2,088 8 1445 3.4 8 2 2 0.0388 6,120 3,000 6,120 3,000 240 0.85 0.85 6,120 6,120 0.85 1 ¸ ¸ ¹ · ¨ ¨ © §  ¸ ¸ ¹ · ¨ ¨ © § u ¸ ¸ ¹ · ¨ ¨ © § ¸  ¸ ¹ · ¨ ¨ © § c y y c b f f f U E U Umax 0.75Ub 0.75 u 0.0388 0.0291 14.71 0.85 240 3,000 0.85 u c c y f f m R Ufy 1 Um/2 R 0.0291u 3,000 u 1 0.0291u14.71/2 68.6 ksc …ÙüćöúċÖðøąÿĉìíñúì ĉ ĊęêšĂÜÖćø … đúČĂÖĔßšđúČĂÖĔßšïĆîĕéĀîć 15 àö. ēé÷ÿööêč ĉøą÷ąĀöčš 2.5 àö. ĒúąĔßš đĀúĘÖđÿøĉö×îćéđÿšîñŠćîýĎî÷ŤÖúćÜ 12 öö. … Ýąĕéš d = 15-2.5-0.5x1.2 = 11.9 àö. > 5.8 àö. OK R b M d u u I d 5.8 cm 0.9 68.6 100 2,088 100 u u u


×ĆĚîêĂîìĊę 4 êøüÝÿĂïĒøÜđÞČĂî …ĒøÜđÞČĂîÖøąìĞćìĊęĀîšćêĆéüĉÖùê Vu = 1,445x3.4/2-1,445x0.119 Vu=2,285 kg … ÖĞćúĆÜêšćîìćîĒøÜđÞČĂî×ĂÜïĆîĕé IVc I0.53 fc cbd IVc 0.85 u 0.53 240 u100 u11.9 8,305 kg IVc > Vu OK ×ĆĚîêĂîìĊę 5 ĀćðøĉöćèđĀú Ę Öđÿøĉö ksc bd M R u 16.38 100 11.9 / 2088 100/0.9 2 2 u u I 0.0057 3,000 2 11.76 16.38 1 1 11.76 2 1 1 1 1 ¸ ¸ ¹ · ¨ ¨ © § u u   ¸ ¸ ¹ · ¨ ¨ © §   yf mR m U 11.76 0.85 240 2400 0.85 u c c y f f m As bd 0.0057 100 11.9 6.78 cm /m 2 U u u As 0.75 bbd 0.75 0.0388 100 11.9 34.6 cm /m 2 đĀúĘÖđÿøĉöÿĎÜÿčé max U u u u đĀúĘÖđÿøĉö×ĆĚîêĞęć °¯ ° ® ­ u u u A cm m f bd cm m A scal y s 1.33 1.33 6.78 9.02 / (14/ ) (14/3,000) 100 11.9 5.55 / min 2 2 9


As 0.0020bt 0.0020 100 15 3.00 cm /m 2 u u Ĕßš DB12 @0.15 êćö÷ćü As 1.2 /0.15 7.54 cm /m 5.55 cm /m OK 4 2 2 2 ! S đĀúĘÖđÿøĉöÖĆîøšćü Ĕßš RB9 @0.20 êćö×üćÜ As 0.9 /0.20 3.18 cm /m 3.00 cm /m OK 4 2 2 2 ! S ĒøÜðäĉÖĉøĉ÷ćìĊęëŠć÷úÜÿÙćî ĎŠ WDL = WdxL/2 = (447+221)x3.4/2 = 1,135.6 kg/m WLL=WL xL/2 = 300x3.4/2 = 510 kg/m øć÷úąđĂ Ċ ÷éÖćøđÿø ĉ öđĀú ĘÖĔîïĆîĕé S1 øą÷ąêćöĒïï øą÷ąêćöĒïï


ĂĂÖĒïïÙćîß Ć Ě î 1 ‡µœ B1, B2 ÁžÈœ‡µœ˜n°ÁœºÉ°Š ¥µªnªŠ 3.4 m ¨³ 2.2m ¦³—´ =+0.30 ¦¡´ ʺœÂ¨³„µÂ¡Š Î ĂĂÖĒïïÙćî B1, B2 ðøąöćèîĞĚćĀîĆÖ îĞĚćĀîĆÖêĆüđĂÜ ÿööčêĉ×îćé 0.2x0.4 =0.2x0.4x2400 =192 ÖÖ./ö. îĞĚćĀîĆÖÖĞćĒóÜÖŠĂÙøċęÜĒñŠîÿĎÜ 2.80 =180x2.80 =504 ÖÖ./ö. îĞĚćĀîĆÖóČĚîìćÜđéĊ÷üĀîć 0.1 ö. ÖüšćÜ 0.3 m =0.1x2400x0.3 =72 ÖÖ./ö. îĞĚćĀîĆÖïøøìčÖÝø =150x0.3 =45 ÖÖ./ö. Wu=1.4(192+504+72)+1.7(45) =1,152 ÖÖ./ö. ĒøÜÖøąìĞćđðŨîÝčéÝćÖÙćî B26 đìŠćÖĆï R = WuL/2 R=1.4(192+504)x0.6/2=292.3 ÖÖ.


ĂĂÖĒïïÙćî B1, B2 ĂĂÖĒïïÙćî B1, B2 ksc bd M R u 5.97 20 35 / 1,316 100/0.9 2 2 u u Á®¨È„Á­¦·¤˜µ¤¥µª I 0.0020 3,000 2 14.71 5.97 1 1 11.76 2 1 1 1 1 ¸ ¸ ¹ · ¨ ¨ © § u u   ¸ ¸ ¹ · ¨ ¨ © §   yf mR m U 14.71 0.85 240 3,000 0.85 u c c y f f m 2 As Ubd 0.0020 u 20 u 35 1.40 cm 0.0388 6,120 3,000 6,120 3,000 240 0.85 0.85 6,120 6,120 0.85 1 ¸ ¸ ¹ · ¨ ¨ © §  ¸ ¸ ¹ · ¨ ¨ © § u ¸ ¸ ¹ · ¨ ¨ © § ¸  ¸ ¹ · ¨ ¨ © § c y y c b f f f U E


°°„‡µœ B1, B2 č 2-DB12 o As cm cm OK 2 2 2 1.2 2.26 1.86 4 2u ! S Á®¨È„Á­¦·¤…Êœ˜´ µÎÉ °¯ ° ® ­ u u u 2 2 1.33 1.33 1.40 1.86 (14/ ) (14/3000) 20 35 3.27 min A cm f bd cm A scal y s 2 Á®¨È„Á­¦·¤­¼Š­»— As max 0.75Ubbd 0.75 u 0.0388 u 20 u 35 20.37 cm 9 ĂĂÖĒïïÙćî B1, B2 đĀúĘÖđÿøĉöêćö×üćÜ ĀøČĂđĀúĘÖøĆïĒøÜđÞČĂî đóČęĂÙüćöÿąéüÖĔß Vš u ĒøÜđÞČĂîüĉÖùê ìĊęåćîøĂÜøĆï = 2,346 kg ÖĞćúĆÜêšćîìćîĒøÜđÞČĂîēé÷ÙĂîÖøĊê IVc = 0.85x0.53(f’c ) 0.5bw.d IVc = 0.85x0.53(240)0.5x20x35 = 4,885 ÖÖ. 0.5IVc = 2,443 ÖÖ. > Vu = 2,346 ÖÖ. ĕöŠÝćđðĞ ŨîêšĂÜđÿøĉöđĀúÖðúĂÖ Ę ĔîìĊęîĊĚđÿøĉöđĀúĘÖ×ĆĚîêĞęć ÿööčêĉĔß 1-RB6 š ¸ ¹ · ¨ © § u u ¸ ¸ ¹ · ¨ ¨ © § 19.4,17.5, 60 3.5 20 0.565 2,400 min ,60 2 , 3.5 min max max S cm d b A f s w v v 2 2 0.6 0.565 4 Av 2u u cm S éĆÜîĆĚîĔßšđĀúĘÖ [email protected] m êúĂéÙćî


ĂĂÖĒïïÙćî B1, B2 kg s A f d V v v s 2,689 15 0.565 2,400 35 0.85 u u I I u ÖĞćúĆÜêšćîìćîĒøÜđÞČĂîéšü÷đĀúĘÖđÿøĉö ÖĞćúĆÜêšćîìćîĒøÜđÞČĂî×ĂÜĀîšćêĆé IVn I Vc Vs 4885  2,689 7,574 kg ! 2346 kg B1 Öøè Ċ Ù Ğćîüèēé÷ĔßšēðøĒÖøö RESPONSE2000


Öøè Ċ Ù Ğćîüèēé÷ĔßšēðøĒÖøö RESPONSE2000 ÖĞćúĆÜêšćîìćîēöđöîêŤÙćî B1 =IMn = 0.9x2.5x1000 = 2,250 ÖÖ.-ö. ĂĂÖĒïïÙćî B14 ‡µœ B14 ÁžÈœ‡µœ¥œºÉ 1.2 ¤. ¦³—´ =+0.20 ¦¡´ ʺœÂ¨³‡µœ µ„ 1.25


ĂĂÖĒïïÙćî B14 ðøąöćèîĞĚćĀîĆÖ îĞĚćĀîĆÖêĆüđĂÜ ÿööčêĉ×îćé 0.2x0.4 =0.2x0.4x2400 =192 ÖÖ./ö. îĞĚćĀîĆÖÖĞćĒóÜÖŠĂ =0 ÖÖ./ö. îĞĚćĀîĆÖóČĚîìćÜđéĊ÷üĀîć 0.1 ö. ÖüšćÜ 1.25 m =0.1x2400x1.25 =300 ÖÖ./ö. îĞĚćĀîĆÖïøøìčÖÝø =150x1.25 =187.5 ÖÖ./ö. Wu=1.4(192+300)+1.7(187.5) =1,008 ÖÖ./ö. ĒøÜÖøąìĞćđðŨîÝčéÝćÖÙćî B32 đìŠćÖĆï R = WuL/2 R=1.4(192)x2.5/2=336 ÖÖ. ĂĂÖĒïïÙćî B14 ēöđöîêŤðøąúĆ÷ Mu = WuL2 /2+PuxL =1,008x1.22 /2+336x1.2 =1,129 ÖÖ.-ö. ĒøÜđÞČĂîðøąúĆ÷ Vu = WuL+Pu =1,008x1.2+336 =1,546 ÖÖ. ĒøÜðäĉÖĉøĉ÷ć Ru = WuL+Pu =1,546 ÖÖ. éĆÜîĆĚîĔßšĀîšćêĆé B1 IMn= 2250 kg-m > 1,129 kg-m đðŨîēöđöîêŤúï đÿøĉöđĀúĘÖïî IVn = 7574 kg > 1,546 kg B1


ĂĂÖĒïïÙćî B21, B22, B27 ‡µœ B21, B22, B27 ÁžÈœ‡µœ¥œºÉ 0.6 ¤. ¦³—´ =+0.30 ¦Ÿœ ´ ´ŠÂ¨³‡µœ µ„ Ž¹ÉŠ‹µ„Â¦Šž’·„·¦·¥µ ‹³ Á®Èœªµn B22 ¦Â¦Š ´ „¦³šµ­Î ¼Š­»— ĂĂÖĒïïÙćî B21, B22, B27 ðøąöćèîĞĚćĀîĆÖ îĞĚćĀîĆÖêĆüđĂÜ ÿööčêĉ×îćé 0.2x0.4 =0.2x0.4x2400 =192 ÖÖ./ö. îĞĚćĀîĆÖÖĞćĒóÜÖŠĂ =180x2.8 =504 ÖÖ./ö. îĞĚćĀîĆÖóČĚî =0 ÖÖ./ö. îĞĚćĀîĆÖïøøìčÖÝø =0 ÖÖ./ö. Wu=1.4(192+504)+1.7(0) =974 ÖÖ./ö. ĒøÜÖøąìĞćđðŨîÝčéÝćÖÙćî B1 Ēúą B2 đìŠćÖĆï =4291 ÖÖ. Ϭ͘ϲŵ ϰϮϵϭŬŐ ϵϳϰŬŐͬŵ ēöđöîêŤðøąúĆ÷ Mu = WuL2 /2+PuxL =974x0.62 /2+4,291x0.6 =2,750 ÖÖ.-ö. ĒøÜđÞČĂîðøąúĆ÷ Vu = WuL+Pu =974x0.6+4,291 =4,875.4 ÖÖ. ĒøÜðäĉÖĉøĉ÷ć Ru = WuL+Pu =4,875.4 ÖÖ.


ĂĂÖĒïïÙćî B21, B22, B27 ksc bd M R u 12.47 20 35 / 2,750 100/0.9 2 2 u u đĀúĘÖđÿøĉöêćö÷ćü I 0.0043 3,000 2 14.71 12.47 1 1 14.71 2 1 1 1 1 ¸ ¸ ¹ · ¨ ¨ © § u u   ¸ ¸ ¹ · ¨ ¨ © §   yf mR m U 14.71 0.85 240 3,000 0.85 u c c y f f m 2 As Ubd 0.0043 u 20 u 35 3.01cm 0.0388 6,120 3,000 6,120 3,000 240 0.85 0.85 6,120 6,120 0.85 1 ¸ ¸ ¹ · ¨ ¨ © §  ¸ ¸ ¹ · ¨ ¨ © § u ¸ ¸ ¹ · ¨ ¨ © § ¸  ¸ ¹ · ¨ ¨ © § c y y c b f f f U E ĂĂÖĒïïÙćî B21, B22, B27 Ĕßš 3-DB12 As cm cm OK 2 2 2 1.2 3.39 3.27 4 3 u ! S đĀúĘÖđÿøĉö×ĆĚîêĞęć °¯ ° ® ­ u u u 2 2 1.33 1.33 3.01 4.00 (14/ ) (14/3000) 20 35 3.27 min A cm f bd cm A scal y s 2 đĀúĘÖđÿøĉöÿĎÜÿčé As max 0.75Ubbd 0.75 u 0.0388 u 20 u 35 20.37 cm 9


ĂĂÖĒïïÙćî B21, B22, B27 đĀúĘÖđÿøĉöêćö×üćÜ ĀøČĂđĀúĘÖøĆïĒøÜđÞČĂî đóČęĂÙüćöÿąéüÖĔß Vš u ĒøÜđÞČĂîüĉÖùê ìĊęåćîøĂÜøĆï = 4,875 kg ÖĞćúĆÜêšćîìćîĒøÜđÞČĂîēé÷ÙĂîÖøĊê IVc = 0.85x0.53(f’c ) 0.5bw.d IVc = 0.85x0.53(240)0.5x20x35 = 4,885 ÖÖ. > Vu 0.5IVc = 2,443 ÖÖ. < Vu = 4,875 ÖÖ. ˜°ŠÁ­¦ o ·¤Á®¨È„ž¨°„…Êœ˜´ µÎÉ ­¤¤»˜·Ä 1-RB6 o 2 2 0.6 0.565 4 Av 2u u cm S ¸ ¹ · ¨ © § u u ¸ ¸ ¹ · ¨ ¨ © § 19.4,17.5, 60 3.5 20 0.565 2,400 min ,60 2 , 3.5 min max max S cm d b A f s w v v —Šœ´ Ê´œÄÁ®¨ o Ȅ [email protected] m ˜¨°—‡µœ ĂĂÖĒïïÙćî B21, B22, B27 kg s A f d V v v s 2,689 15 0.565 2,400 35 0.85 u u I I u ÖĞćúĆÜêšćîìćîĒøÜđÞČĂîéšü÷đĀúĘÖđÿøĉö ÖĞćúĆÜêšćîìćîĒøÜđÞČĂî×ĂÜĀîšćêĆé IVn I Vc Vs 4885  2,689 7,574 kg ! 4,875 kg B2’


Öøè Ċ Ù Ğćîüèēé÷ĔßšēðøĒÖøö RESPONSE2000 Öøè Ċ Ù Ğćîüèēé÷ĔßšēðøĒÖøö RESPONSE2000 ÖĞćúĆÜêšćîìćîēöđöîêŤÙćî B2 =IMn = 0.9x3.6x1000 = 3,240 ÖÖ.-ö.


ĂĂÖĒïïÙćî B3, B4, B5 ‡µœ B3, B4, B5 ÁžÈœ‡µœ˜n°ÁœºÉ°Š ¦³—´ =+0.30 ¦Ÿœ ´ ´ŠÂ¨³¡Êºœ ĂĂÖĒïïÙćî B3, B4, B5 ðøąöćèîĞĚćĀîĆÖ îĞĚćĀîĆÖêĆüđĂÜ ÿööčêĉ×îćé 0.2x0.4 =0.2x0.4x2400 =192 ÖÖ./ö. îĞĚćĀîĆÖÖĞćĒóÜÖŠĂ =180x2.8 =504 ÖÖ./ö. îĞĚćĀîĆÖóČĚî B3 =0.1x2400x1.9/2 =228 ÖÖ./ö. îĞĚćĀîĆÖóČĚî B4,B5 =0.1x2400x3.2/2 =384 ÖÖ./ö. îĞĚćĀîĆÖïøøìčÖÝø B3 =150x1.9/2 =143 ÖÖ./ö. îĞĚćĀîĆÖïøøìčÖÝø B4, B5 =150x3.2/2 =240 ÖÖ./ö. Wu Ùćî B3 =1.4(192+228)+1.7(143) =831 ÖÖ./ö. Wu Ùćî B4 =1.4(192+384)+1.7(240) =996 ÖÖ./ö. Wu Ùćî B5 =1.4(192+504+384)+1.7(240) =1920 ÖÖ./ö.


ĂĂÖĒïïÙćî B3, B4, B5 Mu+ = 518 kg-m Mu- = 1,323 kg-m Vu=3769 kg Mu- =2,449 kg-m R = 4657 kg Mu- = 403 kg-m Mu- = 1,000 kg-m Mu+ = 1,250 kg-m ĂĂÖĒïïÙćî B3, B4, B5 ksc bd M R u 11.11 20 35 / 2,449 100/0.9 2 2 u u I đĀúĘÖđÿøĉöêćö÷ćü 0.0038 3,000 2 14.71 11.11 1 1 14.71 2 1 1 1 1 ¸ ¸ ¹ · ¨ ¨ © § u u   ¸ ¸ ¹ · ¨ ¨ © §   yf mR m U 14.71 0.85 240 3,000 0.85 u c c y f f m 2 As Ubd 0.00383 u 20 u 35 2.66 cm 0.0388 6,120 3,000 6,120 3,000 240 0.85 0.85 6,120 6,120 0.85 1 ¸ ¸ ¹ · ¨ ¨ © §  ¸ ¸ ¹ · ¨ ¨ © § u ¸ ¸ ¹ · ¨ ¨ © § ¸  ¸ ¹ · ¨ ¨ © § c y y c b f f f U E


ĂĂÖĒïïÙćî B3, B4, B5 Ĕßš 3-DB12 As cm cm OK 2 2 2 1.2 3.39 3.27 4 3 u ! S đĀúĘÖđÿøĉö×ĆĚîêĞęć °¯ ° ® ­ u u u 2 2 1.33 1.33 2.66 3.54 (14/ ) (14/3000) 20 35 3.27 min A cm f bd cm A scal y s 2 đĀúĘÖđÿøĉöÿĎÜÿčé As max 0.75Ubbd 0.75 u 0.0388 u 20 u 35 20.37 cm 9 ĂĂÖĒïïÙćî B3, B4, B5 đĀúĘÖđÿøĉöêćö×üćÜ ĀøČĂđĀúĘÖøĆïĒøÜđÞČĂî đóČęĂÙüćöÿąéüÖĔß Vš u ĒøÜđÞČĂîüĉÖùê ìĊęåćîøĂÜøĆï = 3,769 kg ÖĞćúĆÜêšćîìćîĒøÜđÞČĂîēé÷ÙĂîÖøĊê IVc = 0.85x0.53(f’c ) 0.5bw.d IVc = 0.85x0.53(240)0.5x20x35 = 4,885 ÖÖ. > Vu 0.5IVc = 2,443 ÖÖ. < Vu = 3,769 ÖÖ. ˜°ŠÁ­¦ o ·¤Á®¨È„ž¨°„…Êœ˜´ µÎÉ ­¤¤»˜·Ä 1-RB6 o 2 2 0.6 0.565 4 Av 2u u cm S ¸ ¹ · ¨ © § u u ¸ ¸ ¹ · ¨ ¨ © § 19.4,17.5, 60 3.5 20 0.565 2,400 min ,60 2 , 3.5 min max max S cm d b A f s w v v —Šœ´ Ê´œÄÁ®¨ o Ȅ [email protected] m ˜¨°—‡µœ


ĂĂÖĒïïÙćî B3, B4, B5 kg s A f d V v v s 2,689 15 0.565 2,400 35 0.85 u u I I u ÖĞćúĆÜêšćîìćîĒøÜđÞČĂîéšü÷đĀúĘÖđÿøĉö ÖĞćúĆÜêšćîìćîĒøÜđÞČĂî×ĂÜĀîšćêĆé IVn I Vc Vs 4885  2,689 7,574 kg ! 3,769 kg B2 Section Āîšćđÿć Section ÖúćÜÙćî ĂĂÖĒïïÙćî B3, B4, B5 êøüÝÿĂïìĊęĀîšćêĆéĂČęî ė ēöđöîêŤ ßîĉé As, required As, max ÝĆéđĀúĘÖđÿøĉö As, Provided êøüÝÿĂï (kg-m) (cm2 ) (cm2 ) (cm2 ) (14/fy)bd 1.33As,cal 1,000 úï 1.05 20.37 2-DB12 2.26 3.27 1.40 OK 518 ïüÖ 0.56 20.37 2-DB12 2.26 3.27 0.74 OK 403 úï 0.42 20.37 2-DB12 2.26 3.27 0.56 OK 0 ïüÖ 0 20.37 2-DB12 2.26 3.27 0.00 OK 1323 úï 1.4 20.37 2-DB12 2.26 3.27 1.86 OK 1250 ïüÖ 1.33 20.37 3-DB12 3.39 3.27 1.77 OK 2449 úï 2.66 20.37 3-DB12 3.39 3.27 3.54 OK As, min


ĂĂÖĒïïÙćî B3, B4, B5    2 DB¤¤. ž. RB¤¤. #0.1 ¤. 2-DB¤¤. B1   SECTION 1-1 2 DB¤¤. ž. RB¤¤. #0.1 ¤. 2-DB¤¤. B2   Á­¦·¤¡·Á«¬ 1- DB¤¤. SECTION 3-3 2 DB¤¤. ž. RB¤¤. #0.1 ¤. 2-DB¤¤. B2   Á­¦·¤¡·Á«¬ 1- DB¤¤. SECTION 2-2  ĂĂÖĒïïÙćî B8, B9, B10 ‡µœ B8, B9, B10 ÁžÈœ‡µœ˜n°ÁœºÉ°Š ¦³—´ =+0.30 ¤¸nªŠ¡µ— 3.4, 2.2 ¨³ 3.6 m ¦Ÿœ ´ ´Š ¡Êºœ ¨³‡µœ µ„


ĂĂÖĒïïÙćî B8, B9, B10 ðøąöćèîĞĚćĀîĆÖ îĞĚćĀîĆÖêĆüđĂÜ ÿööčêĉ×îćé 0.2x0.4 =0.2x0.4x2400 =192 ÖÖ./ö. îĞĚćĀîĆÖÖĞćĒóÜÖŠĂ =180x2.8 =504 ÖÖ./ö. îĞĚćĀîĆÖóČĚî ÖüšćÜ 1.3 =0.1x2400x1.3/2 =156 ÖÖ./ö. îĞĚćĀîĆÖóČĚî ÖüšćÜ 3.2 =0.1x2400x3.2/2 =384 ÖÖ./ö. îĞĚćĀîĆÖóČĚî ÖüšćÜ 2.5 =0.1x2400x2.5/2 =300 ÖÖ./ö. îĞĚćĀîĆÖóČĚîÖüšćÜ 3.6 =0.1x2400x3.6/2 =432 ÖÖ./ö. îĞĚćĀîĆÖóČĚîÿĂÜìćÜ =240x(1.3/3)x(3-(1.3/1.9)2 )/2 =132 ÖÖ./ö. îĞĚćĀîĆÖïøøìčÖÝø óČĚîÖüšćÜ 1.3 =150x1.3/2 =97.5 ÖÖ./ö. îĞĚćĀîĆÖïøøìčÖÝø óČĚîÖüšćÜ 3.2 =150x3.2/2 =240 ÖÖ./ö. îĞĚćĀîĆÖïøøìčÖÝø óČĚîÖüšćÜ 2.5 =150x2.5/2 =188 ÖÖ./ö. îĞĚćĀîĆÖïøøìčÖÝø óČĚîÖüšćÜ 3.6 =150x3.6/2 =270 ÖÖ./ö. îĞĚćĀîĆÖóČĚîÿĂÜìćÜ =150x(1.3/3)x(3-(1.3/1.9)2 )/2 =82 ÖÖ./ö. ĂĂÖĒïïÙćî B8, B9, B10 îĞĚćĀîĆÖÝćÖïĆîĕéÖøąìćìĞ Ùćî Ċę B9 WDL = 1,135.6 kg/m WLL= 510 kg/m Ùćî B8 Wu=1.4(192+504+132)+1.7(82) =1299 kg/m Ùćî B9 Wu=1.4(192+384+300+1,135.6)+1.7(240+188+510) Wu= 4,411 kg/m Ùćî B10 Wu=1.4(192+384+432)+1.7(240+270) = 2278 kg/m ĒøÜÖøąìĞćđðŨîÝčéÝćÖÙćî B23 Wu = 1.4(192+504+240x1.3/3)+1.7(150x1.3/3) =1230.5 kg/m Pu = 1,230.5x1.3/2 = 800 kg


ĂĂÖĒïïÙćî B8, B9, B10 -2194 -1,560 938 -2593 1299 -1601 -5122 779 ĂĂÖĒïïÙćî B8, B9, B10 ĀîšćêĆéđðŨîøĎðĒïïđߊîđéĊ÷üÖĆïÙćî B3, B4, B5 ēöđöîêŤ ßîĉé As, required As, max ÝĆéđĀúĘÖđÿøĉö As, Provided êøüÝÿĂï (kg-m) (cm2 ) (cm2 ) (cm2 ) (14/fy)bd 1.33As,cal 1,560 úï 1.05 20.37 2-DB12 2.26 3.27 1.40 OK 938 ïüÖ 0.56 20.37 2-DB12 2.26 3.27 0.74 OK 1,601 úï 0.42 20.37 2-DB12 2.26 3.27 0.56 OK 779 ïüÖ 0 20.37 2-DB12 2.26 3.27 0.00 OK 2194 úï 1.4 20.37 3-DB12 3.39 3.27 1.86 OK 1299 ïüÖ 1.33 20.37 3-DB12 3.39 3.27 1.77 OK 2593 úï 2.66 20.37 3-DB12 3.39 3.27 3.54 OK As, min


ĂĂÖĒïïÙćî B8, B9, B10    2 DB¤¤. ž. RB¤¤. #0.1 ¤. 2-DB¤¤. B1   SECTION 1-1 2 DB¤¤. ž. RB¤¤. #0.1 ¤. 2-DB¤¤. B2   Á­¦·¤¡·Á«¬ 1- DB¤¤. SECTION 3-3 2 DB¤¤. ž. RB¤¤. #0.1 ¤. 2-DB¤¤. B2   Á­¦·¤¡·Á«¬ 1- DB¤¤. SECTION 2-2  ÙćîĂČęîė ÿćöćøëìĞćĕéšĔîìćîĂÜđé Ğ Ċ÷üÖĆî ĂĂÖĒïïÙćî B27, B28, B29 ‡µœ B27, B28, B29 ÁžÈœ‡µœ˜n°ÁœºÉ°Š ¦³—´ =+0.30 ¦Ÿœ ´ ´Š ¨³‡µœ µ„


ĂĂÖĒïïÙćî B27, B28, B29 ðøąöćèîĞĚćĀîĆÖ îĞĚćĀîĆÖêĆüđĂÜ ÿööčêĉ×îćé 0.2x0.4 =0.2x0.4x2400 =192 ÖÖ./ö. îĞĚćĀîĆÖÖĞćĒóÜÖŠĂ =180x2.8 =504 ÖÖ./ö. Wu = 1.4(192+504)+1.7(0) =974 ÖÖ./ö. ÙĞćîüèĒøÜÖøąìćïîÙćîòćÖ Ğ îĞĚćĀîĆÖêĆüđĂÜ 0.2x0.4 =0.2x0.4x2400 =192 ÖÖ./ö. îĞĚćĀîĆÖÖĞćĒóÜ = 180x2.8 =504 ÖÖ./ö. îĞĚćĀîĆÖóČĚî DL =240x1.8 =432 ÖÖ./ö. îĞĚćĀîĆÖóČĚî LL =150x1.5 =270 ÖÖ./ö. Wu = 1.4x(192+504+432)+1.7x(270) =2,038 ÖÖ./ö. ĒøÜðäĉÖĉøĉ÷ć Ru =WuL/2 = 2,038x2.2/2 =2,242 ÖÖ./ö. ĂĂÖĒïïÙćî B27, B28, B29


ĂĂÖĒïïÙćî B27, B28, B29 ēöđöîêŤ ßîĉé As, required As, max ÝĆéđĀúĘÖđÿøĉö As, Provided êøüÝÿĂï (kg-m) (cm2 ) (cm2 ) (cm2 ) (14/fy)bd 1.33As,cal 2,750 úï 3.01 20.37 3-DB12 3.39 3.27 4.00 OK 0 ïüÖ 0 20.37 2-DB12 2.26 3.27 0.00 OK 651 úï 0.70 20.37 2-DB12 2.26 3.27 0.93 OK 976 ïüÖ 1.05 20.37 3-DB12 3.39 3.27 1.40 OK 2703 úï 2.94 20.37 3-DB12 3.39 3.27 3.91 OK As, min ĂĂÖĒïïÙćî B27, B28, B29 ÙćîĂČęîė ĔîßĆĚîđéĊ÷üÖĆî ÿćöćøëìćĕé Ğ šĔîìćîĂÜđé Ğ Ċ÷üÖĆî   2 DB¤¤. ž. RB¤¤. #0.1 ¤. 2-DB¤¤. B1   SECTION 3-3 2 DB¤¤. ž. RB¤¤. #0.1 ¤. 2-DB¤¤. B2   Á­¦·¤¡·Á«¬ 1- DB¤¤. SECTION 1-1 2 DB¤¤. ž. RB¤¤. #0.1 ¤. 2-DB¤¤. B2   Á­¦·¤¡·Á«¬ 1- DB¤¤. SECTION 2-2  


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