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b = 250 fc' = 25 N/mm2h = 500 fy = 400 N/mm2

d' = 50 D = 19 mmAs tul = 283.5287 mm2

d = h - d'

d = 450 As = 850.5862As' = 850.5862

d - h/2 = 200

d - d' = 400

0.85 x fc' x h x b x d - h/2! " As' x fy x d - d'! 667#343#793.75 200.000.85 x fc' x h x b " As " As'! x fy 3336718.9687676

b = 250 fc' = 25 N/mm2h = 600 fy = 400 N/mm2

d' = 50 D = 19 mmAs tul = 283.5287 mm2

d = h - d'

d = 550 As = 850.5862As' = 850.5862

d - h/2 = 250

d - d' = 500

0.85 x fc' x h x b x d - h/2! " As' x fy x d - d'! 966#992#242.19 250.000.85 x fc' x h x b " As " As'! x fy 3867968.9687676

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b = 250 fc' = 25 N/mm2h = 500 fy = 400 N/mm2

d' = 40 D = 19 mmAs tul = 283.5287 mm2

d = h - d'd = 460 As = 850.5862

As' = 850.5862d - h/2 = 210

d - d' = 420

0.85 x fc' x h x b x d - h/2! " As' x fy x d - d'! 700#710#983.44 210.000.85 x fc' x h x b " As " As'! x fy 3336718.9687676

b = 250 fc' = 25 N/mm2h = 500 fy = 400 N/mm2

d' = 50 D = 19 mmAs tul = 283.5287 mm2

d = h - d'

d = 450 As = 1134.115 ==>PERHATAN JIKA TULAAs' = 850.5862

d - h/2 = 200

d - d' = 400

0.85 x fc' x h x b x d - h/2! " As' x fy x d - d'! 667#343#793.75 193.430.85 x fc' x h x b " As " As'! x fy 3450130.4635621

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b = 250 fc' = 25 N/mm2h = 600 fy = 400 N/mm2

d' = 40 D = 19 mmAs tul = 283.5287 mm2

d = h - d'd = 560 As = 1134.115

As' = 850.5862d - h/2 = 260

d - d' = 520

0.85 x fc' x h x b x d - h/2! " As' x fy x d - d'! 1#005#671#931.88 252.590.85 x fc' x h x b " As " As'! x fy 3981380.4635621

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NGAN TIDAK SERAGAM

ACER:BERGESER KE ARAH TULANGAN

YANG LEBIH BANYAK UNTUKMENCAPAI KESEIMBANGAN(LEBIH DEKAT KE AS YANGBESAR)

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b = 250 mm fc' = 27 N/mm2h = 600 mm fy = 400 N/mm2

d' = 50 mm D = 16 mmAs tul = 201.0619298297 mm2

d = h - d'd = 550 mm As = 3 D 16 603.1857894892

As' = 3 D 16 603.1857894892

Statis Momen terhadap t !an"an tari#$ As %

d - h/2 = 250 mm

d - d' = 500 mm

d $ = 0.85 x fc' x h x b x d - h/2! " As' x fy x d - d'! = 981#262#157.90 =0.85 x fc' x h x b " As " As'! x fy 3#925#048.63

Statis Momen terhadap tepi atas &!o# te"' Te#an &eton %

d $ = 0.85 x fc' x h x b x h/2! " As' x fy x d'! " As x fy x d! 1177514589.47742 =0.85 x fc' x h x b " As " As'! x fy 3#925#048.63

Statis Momen terhadap t !an"an te#an$ As( %

h/2 - d' = 250 mm

d - d' = 500 mm

d $ = 0.85 x fc' x h x b x h/2 - d'! " As x fy x d - d'! = 981#262#157.90 =0.85 x fc' x h x b " As " As'! x fy 3#925#048.63

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Statis Momen terhadap titi# ) %

x = 125 mm d%& (%& s )*t&%l +*)%m+%)( b*t,) * %)%)

1 = x 1 = 125 mm2 = h/2 - d' - x 2 = 125 mm3 = d - d' - 2 3 = 375 mm

d $ = 0.85 x fc' x h x b x 1! - As' x fy x 2! " As x fy x 3! 490#631#078.95 =0.85 x fc' x h x b " As " As'! x fy 3#925#048.63

Statis Momen terhadap "aris netra! penampan" &eton %

1 = x 1 = 0 mm

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2 = h/2 - d' 2 = 250 mm3 = d - h/2 3 = 250 mm

d $ = 0.85 x fc' x h x b x 1! - As' x fy x 2! " As x fy x 3! - =0.85 x fc' x h x b " As " As'! x fy 3#925#048.63

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mm2mm2

250.00 mm d%& tul%)(%) t%&

300.00 mm d%& t*+ %t%s bl, t*(. * %) b*t,)

250.00 mm d%& tul%)(%) t* %)

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125.00 mm d%& t t x

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- mm d%& d%& (%& s )*t&%l +*)%m+%)(

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MENGHITUNG d( *+ENTR,ID PLASTIS-

D = 19 mmfc' = 27 N/mm2 As = 283.5287 mm2fy = 400 N/mm2

As1 = 1417.644 mm2b = 400 mm As2 = 567.0575 mm2h = 400 mm As3 = 567.0575 mm2

% = h# As4 = 567.0575 mm2 % = 400 mm As5 = 1417.644 mm2

d' = 50 mmd = h - d'd = 350 mm

. Statis Momen terhadap "aris netra! penampan" &eton %

50

50 mm

125 mm

200 mm

275 mm

350 mm

c = h/2 - %/2 c = 0 mm1 = h/2 - d1 1 = 150 mm2 = h/2 - d2 2 = 75 mm3 = h/2 - d3 3 = 0 mm4 = d4 - h/2 4 = 75 mm5 = d5 - h/2 5 = 150 mm

d$ = 0.85 x fc' x h x b x c! " As1x fy x 1! " As2x fy x 2! " As3x fy x 3! - As4x fy x 4! - As5x fy x 5!0.85 x fc' x h x b! " As1" As2 " As3 " As4 " As5! x fy

0 = - mm dari garis netral 5#486#583.92

d = dc " - 1! h - 2dc ! / N - 1!

dc = d' dc =

d1 =

d2 =

d3 =

d4 =

d5 =

h = 400

b = 400

s5 s4 s3 s2 s1

c

d1d2

d3

d4

d5

124

5

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/ Statis Momen terhadap tepi atas &!o# te"an"an te#an &eton %

50 mm

125 mm

200 mm

275 mm350 mm

c = h/2 c = 200 mm1 = d1 1 = 50 mm2 = d2 2 = 125 mm3 = d3 3 = 200 mm4 = d4 4 = 275 mm5 = d5 5 = 350 mm

d$ = 0.85 x fc' x h x b x c! " As1x fy x 1 " As2x fy x 2! " As3x fy x 3! " As4x fy x 4! " As5x fy x 5!

0.85 x fc' x h x b! " As1" As2 " As3 " As4 " As5! x fy

1097316783.3 = 200.00 mm dari tepi atas blok tegangan tekan beton 5#486#583.92

d1 =

d2 =

d3 =

d4 =d5 =

h = 400

b = 400

s5 s4 s3 s2 s1

c

d1d2

d3

d4

d5

12

3 = c

45

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0 Statis Momen terhadap As1 %

50 mm

125 mm200 mm

275 mm

350 mm

c = d - h/2 c = 150 mm1 = d - d1 1 = 300 mm2 = d - d2 2 = 225 mm3 = d - d3 3 = 150 mm

4 = d - d4 4 = 75 mm5 = d - d 5 = 0 mm

d$ = 0.85 x fc' x h x b x c! " As1x fy x 1! " As2x fy x 2! " As3x fy x 3! " As4x fy x 4! " As5x fy x 5!0.85 x fc' x h x b! " As1" As2 " As3 " As4 " As5! x fy

822987587.51 = 150.00 mm dari As5 5#486#583.92

d1 =

d2=

d3 =

d4 =

d5 =

h = 400

b = 400

s5 s4 s3 s2 s1

c

4

d1d2

d3

d4

d5

3 = c

21

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2 Statis Momen terhadap As2 %

50 mm

125 mm200 mm

275 mm

350 mm

c = d4 - h/2 c = 75 mm1 = d4 - d1 1 = 225 mm2 = d4 - d2 2 = 150 mm3 = d4 - d3 3 = 75 mm4 = d4 - d4 4 = 0 mm

5 = d5 - d4 5 = 75 mm

d$ = 0.85 x fc' x h x b x c! " As1x fy x 1! " As2x fy x 2! " As3x fy x 3! " As4x fy x 4! - As5x fy x 5!0.85 x fc' x h x b! " As1" As2 " As3 " As4 " As5! x fy

411493793.75 = 75.00 mm dari As4 5#486#583.92

d1 =

d2=

d3 =

d4 =

d5 =

h = 400

b = 400

s5 s4 s3 s2 s1

c

d1d2

d3

d4

d5

12

3 = c5

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3 Statis Momen terhadap As/ %

50 mm

125 mm

200 mm275 mm

350 mm

c = h/2 - d2 c = 75 mm1 = d2 - d1 1 = 75 mm

2 = d2 - d2 2 = 0 mm3 = d3 - d2 3 = 75 mm4 = d4 - d2 4 = 150 mm5 = d5 - d2 5 = 225 mm

d$ = - 0.85 x fc' x h x b x c! " As1x fy x 1! " As2x fy x 2! - As3x fy x 3! - As4x fy x 4! - As5x fy x 5!0.85 x fc' x h x b! " As1" As2 " As3 " As4 " As5! x fy

-411493793.8 = (75.00) mm dari As2 5#486#583.92

A A

d$ = 0.85 x fc' x h x b x c! - As1x fy x 1! - As2x fy x 2! " As3x fy x 3! " As4x fy x 4! " As5x fy x 5!0.85 x fc' x h x b! " As1" As2 " As3 " As4 " As5! x fy

411493793.75 = 75.00 mm dari As2

5#486#583.92

d1 =

d2 =

d3 =d4 =

d5 =

h = 400

b = 400

s5 s4 s3 s2 s1

c

d1d2

d3

d4

d5

134

5

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4 Statis Momen terhadap As. %

50 mm

125 mm

200 mm275 mm

350 mm

c = h/2 - d1 c = 150 mm1 = d1 - d1 1 = 0 mm

2 = d2 - d1 2 = 75 mm3 = d3 - d1 3 = 150 mm4 = d4 - d1 4 = 225 mm5 = d5 - d1 5 = 300 mm

d$ = - 0.85 x fc' x h x b x c! " As1x fy x 1! - As2x fy x 2! - As3x fy x 3! - As4x fy x 4! - As5x fy x 5!0.85 x fc' x h x b! " As1" As2 " As3 " As4 " As5! x fy

-822987587.5 = (150.00) mm dari As2 5#486#583.92

A A

d$ = 0.85 x fc' x h x b x c! - As1x fy x 1! " As2x fy x 2! " As3x fy x 3! " As4x fy x 4! " As5x fy x 5!0.85 x fc' x h x b! " As1" As2 " As3 " As4 " As5! x fy

822987587.51 = 150.00 mm dari As2 5#486#583.92

d1 =

d2 =

d3 =d4 =

d5 =

h = 400

b = 400

s5 s4 s3 s2 s1

c

d1d2

d3

d4

d5

3

5

4

2

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h = 400

b = 400

s5 s4 s3 s2 s1

c

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75 50

400

400

200

50 75 75 75

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75 50

400

400

50

200

50 75 75 75

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600

50 100 100 1 00 100 1 00

50

100

50

200

50100

50

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D *t%hu utu b*t,) utu b% %

b = mm fc ' = 25 % fy = %bf = mm = 25 N/mm2 = N/mm2h = mmhf = mm ,dulus :l%st s t%s ;*t,) ,dulud :l%st s t%s ;% %# :yh - hf = mm :c = :y = 200#000 %

:c = 23500 N/mm2

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Centroid plastis, d"t%t s ,m*) * t*+ b% %h +*)%m+%)(

Ac1 = 0.85 x fc x hf x bf = 2#550#000 N c1 = 1/2.hf " h - hf! c1 = mmAc2 = 0.85 x fc x h - hf! x b = 2#125#000 N c2 = 1/2 h- hf ! c2 = mm

As1 = 6 As = 2#280.80 mm2 d1 = 50 mm 1 = d7 1 = mmAs2 = 6 As = 2#280.80 mm2 d2 = mm 2 = d6 2 = mmAs3 = 2 As = 760.27 mm2 d3 = mm 3 = d5 3 = mmAs4 = 2 As = 760.27 mm2 d4 = mm 4 = d4 4 = mmAs5 = 2 As = 760.27 mm2 d5 = mm 5 = d3 5 = mmAs6 = 2 As = 760.27 mm2 d6 = mm 6 = d2 6 = mmAs7 = 2 As = 760.27 mm2 d7 = mm 7 = d1 7 = 50 mm

Ac1 " Ac2! " As1 " As2 " As3 " As4 " As5 " As6 " As7! x fy

d $ = 3#536#164#919.01 = 440.909 mm d%& t*+ b% %h +*)%m+%)( ,l,m 8#020#167.86

*mbu t %)h - d$ = - 259.091 = 440.909 mm d%& t*+ b% %h +*)%m+%)( ,l,m -OK bangeets…!

d$ " d$ = " = 0OK bangeets…!

D *t%hu utu b*t,) utu b% %

b = mm fc ' = 25 % fy = %bf = mm = 25 N/mm2 = N/mm2h = mmhf = mm ,dulus :l%st s t%s ;*t,) ,dulud :l%st s t%s ;% %# :yh - hf = mm :c = :y = 200#000 %

:c = 23500 N/mm2

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D = 22As = 380.13 mm2

ul%)(%) = 22 D 22

Centroid plastis, d"t%t s ,m*) * t*+ & +*)%m+%)(

Ac1 = 0.85 x fc x hf x bf = 2#550#000 N c1 = 1/2.bf c1 = mmAc2 = 0.85 x fc x h - hf! x b = 2#125#000 N c2 = 1/2.bf c2 = mm

As1 = 2 As = 760.27 mm2 d1 = 50 mm 1 = d1 1 = 50 mmAs2 = 2 As = 760.27 mm2 d2 = mm 2 = d2 2 = mmAs3 = 7 As = 2#660.93 mm2 d3 = mm 3 = d3 3 = mmAs4 = 7 As = 2#660.93 mm2 d4 = mm 4 = d4 4 = mmAs5 = 2 As = 760.27 mm2 d5 = mm 5 = d5 5 = mmAs6 = 2 As = 760.27 mm2 d6 = mm 6 = d6 6 = mmAs7 = 0 As = - mm2 d7 = 0 mm 7 = d7 7 = 0 mm

22 b%t%)( D %.22

Ac1 " Ac2! " As1 " As2 " As3 " As4 " As5 " As6 " As7! x fy

d $ = 2#406#050#357.26 = 300 mm d%& t*+ & +*)%m+%)( ,l,m 8#020#167.86

d $ = Ac1 x c1 " Ac2 x c2! " As1 x fy x 1 " As2 x fy x 2 " As3 x fy x 3 " As4 x fy x 4 " As5 x fy x 5 " As6 x fy x 6 " As7 x fy x 7!

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D *t%hu utu b*t,) utu b% %

b = mm fc ' = 25 % fy = %bf = mm = 25 N/mm2 = N/mm2h = mmhf = mm ,dulus :l%st s t%s ;*t,) ,dulud :l%st s t%s ;% %# :yh - hf = mm :c = :y = 200#000 %

:c = 23500 N/mm2

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