Excel Application for Reinforced Concrete Girder Design - Yoppy Soleman

Evaluasi Desain Tulangan Balok

Lebar  Balok

Tinggi Balok

Lebar  Tinggi Balok, b Balok, h

Tebal Selimut Beton

Jarak Serat Tinggi Tekan Efektif  Terluar  Balok ke Pusat Tulanga n Tekan

Diameter  Diameter  Tebal Tulangan Tulangan Selimut Tarik, φD Geser, φS Beton, s

= h - d' = 40 + (s+1/2.φ φS + D+φS) 1/2. φD'

Asumsi Asumsi Diameter  Diameter  Tulangan Tulangan Utama Geser 

Kuat Tekan Karakter  istik 28 Hari (Mutu Beton)

Kuat Luluh Baja (Mutu Baja)

d

f c' c'

f y

Diameter  Modulus Modulus Tulangan Elastisitas Elastisitas Bahan Tarik, φD Beton Baja (mm)

Es

= 2x10 MPa

5

Ec = 4700. f c' c'0.5

Hitung a : Hitung εcu : Tinggi Blok Hitung c : Regangan Diameter  Jumlah Tulangan Tulangan tegangan Jumlah Jarak serat Batas/Luluh Tulangan batang batang Tarik Tekan tekan tekan terluar  Beton yang tulangan Tekan, φD' tulangan terpasang, terpasang, persegi ke garis Menerima tarik, ns tekan, ns' As (mm2) As' (mm2) ekivalen (mm) neutral, (mm) Tekanan Whitney (mm/mm) (mm)

Diameter  Diameter  ns Tulangan =Jumlah Tulangan Tarik atau Batang Tekan atau Tulangan Tulangan Tulangan Tarik Positif, φD negatif, φD'

ns' Luas Luas =Jumlah Tulangan Tulangan Batang Tarik Tekan Tulangan Terpasang Terpasang Tekan As As'

c

Hitung εy : Regangan Batas/Luluh Baja Tulangan Tarik/Tekan (mm/mm)

= a/β1, β1

= 0.85 IF f c' c' ≤ a = (AsAs').f y/0.85. y/0.85. 30 MPa, IF fc' > 30 MPa, β1 f c'. c'.b = 0.850.008(fc'-30)

Regangan Tekan Beton, cu

y = f y/ y/Es

mm

mm

mm

mm

mm

mm

MPa

MPa

MP MPa

MPa

mm

-

mm

-

mm2 

mm2 

mm

mm

500

900

22

8

40

841.0  

59.0

20

240

20 200000

21 21019

22

4

18

2

1520.5

508.9

28.6

33.6

0.003

0  

500 500 500 500 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250 250

900 700 700 700 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500

23 24 25 26 27 28 29 30 22 23 22 27.5 22 27 28 29 30 30 30 30 30 30 30 30 30 30

8 8 8 8 8 8 8 8 10 10 10 10 10 10 10 10 10 8 8 8 8 8 8 8 8 8

40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40

840.5 640.0 639.5 639.0 438.5 438.0 437.5 437.0 439.0 438.5 439.0 436.3 439.0 436.5 436.0 435.5 435.0 437.0 437.0 437.0 437.0 437.0 437.0 437.0 437.0 437.0

59.5 60.0 60.5 61.0 61.5 62.0 62.5 63.0 61.0 61.5 61.0 63.8 61.0 63.5 64.0 64.5 65.0 63.0 63.0 63.0 63.0 63.0 63.0 63.0 63.0 63.0

20 20 20 20 20 20 20 20 20 20 20 20 25 20 20 20 20 20 20 20 20 20 20 20 20 20

240 240 240 240 240 240 240 240 240 240 300 240 240 240 240 240 240 240 240 240 240 240 240 240 240 240

200000 200000 200000 200000 200000 200000 200000 200000 200000 200000 200000 200000 200000 200000 200000 200000 200000 200000 200000 200000 200000 200000 200000 200000 200000 200000

21019 21019 21019 21019 21019 21019 21019 21019 21019 21019 21019 21019 23500 21019 21019 21019 21019 21019 21019 21019 21019 21019 21019 21019 21019 21019

23 24 25 26 27 28 29 30 22 23 22 27.5 22 27 28 29 30 22 23 24 25 26 27 28 29 30

4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4

1661.9

508.9 508.9 508.9 508.9 508.9 508.9 508.9 508.9 508.9 508.9 508.9 508.9 508.9 508.9 508.9 508.9 508.9 508.9 508.9 508.9 508.9 508.9 508.9 508.9 508.9 508.9

32.6 36.7 41.1 45.6 100.6 110.3 120.5 130.9 57.1 65.1 71.4 105.4 45.7 100.6 110.3 120.5 130.9 57.1 65.1 73.4 82.1 91.2 100.6 110.3 120.5 130.9

38.3 43.2 48.3 53.6 118.3 129.8 141.7 154.0 67.2 76.6 84.0 124.0 53.8 118.3 129.8 141.7 154.0 67.2 76.6 86.4 96.6 107.3 118.3 129.8 141.7 154.0

0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

mm

18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18

2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2

1809.6  1963.5  2123.7  2290.2  2463.0  2642.1 2827.4 1520.5  1661.9 1520.5  2375.8  1520.5  2290.2  2463.0  2642.1 2827.4 1520.5  1661.9 1809.6  1963.5  2123.7  2290.2  2463.0  2642.1 2827.4

mm/mm

mm/mm

Kontrol Regangan Hitung εs : Hitung εs' : Baja : If εs > εy Regangan Regangan and εs' > εy --> Baja Baja Tulangan Tulangan Kondisi I, if εs > εy Tarik Tekan and εs' < εy --> (mm/mm) (mm/mm) Kondisi II

Koefisien c 2 of  ac 2  + bc + c = 0 

Koefisien c 

IF s ≥ y AND s' ≥ y ==> First s = (dc).

/c

cu

mm/mm

s' = (cd').

/c

cu

mm/mm

0.0721

0 

0.0628 0.0414 0.0367 0.0327 0.0081 0.0071 0.0063 0.0055 0.0166 0.0142 0.0127 0.0076 0.0215 0.0081 0.0071 0.0062 0.0055 0.0165 0.0141 0.0122 0.0106 0.0092 0.0081 0.0071 0.0063 0.0055

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

Condition, IF s ≥ y AND s' < y ==> Second Condition

of c2 = 0.85.f c'. c'.b.β1 a

b

of c = ( cu.Es.As'As.f y) y)

Konstanta untuk c  untuk c 

Hitung fs' : Revisi c = Jarak Tegangan Perhitungan Serat Tekan Kontrol fs': Tulangan a: Tinggi Blok Terluar ke IF fs' < fy Baja Tegangan G.N. yang --> OK! Tekan Persegi direvisi (MPa) Whitney (mm)

Hitung ND1: kN

Hitung ND2: kN

Hitung ΣND = ND1+ND2, kN

Resultan Hitung Tegangan Hitung Hitung ΣMn = Tarik dari Mn1, kN Mn2, kN Mn1 + Tulangan Mn2, kN Baja, NT

IF f s' s' ≥ f y a = β1.c, β1 = NT = ==> First 0.85 IF f c' c' ≤ ND1 = ΣND = ND2 = As.f y. y. = s'. Es Condition, 30 MPa. IF 0.85.f c'. c'.a. 0.85.f c'.a.b c'.a.b c  of c = c = {-b±(b2As'.f s'. s'. IF Kontrol: = ( c IF f  s' s ' < f  y f  c' c ' > 30 MPa, b. s'. -d'( cu.Es.As') 4ac)0.5}/2a Cond. 1 or  + As'.f s'. ==> Cond. 1 or  d'). cu.Es/c β1=0.85Cond. 1 or  ΣND = NT 2: 2 Second 2: ==> OK! 0.008.x. Condition Cond. 1 or 2: f s' s'

-

mm2 

mm

-

mm

MPa

Kondisi II

7225.0

-59564.6

-18016405.55

54.2  

-52.8

Kondisi II Kondisi II Kondisi II Kondisi II Kondisi I Kondisi I Kondisi I Kondisi I Kondisi II Kondisi II Kondisi II Kondisi I Kondisi II Kondisi I Kondisi I Kondisi I Kondisi I Kondisi II Kondisi II Kondisi II Kondisi II Kondisi I Kondisi I Kondisi I Kondisi I Kondisi I

7225.0 7225.0 7225 7225 3612.5 3612.5 3612.5 3612.5 3612.5 3612.5 3612.5 3612.5 4515.63 3612.5 3612.5 3612.5 3612.5 3612.5 3612.5 3612.5 3612.5 3612.5 3612.5 3612.5 3612.5 3612.5

-93493.8 -128930.96 -165876.09 -204329.19 -244290.24 -285759.27 -328736.26 -373221.21 -59564.6 -93493.8 -150796.45 -264836.26 -59564.6 -244290.24 -285759.27 -328736.26 -373221.21 -59564.6 -93493.8 -128930.96 -165876.09 -204329.19 -244290.24 -285759.27 -328736.26 -373221.21

-18169086.95 -18321768.36 -18474449.76 -18627131.16 -18779812.56 -18932493.97 -19085175.37 -19237856.77 -18627131.16 -18779812.56 -18627131.16 -19466878.88 -18627131.16 -19390538.18 -19543219.58 -19695900.98 -19848582.39 -19237856.77 -19237856.77 -19237856.77 -19237856.77 -19237856.77 -19237856.77 -19237856.77 -19237856.77 -19237856.77

57.0 60.1 63.3 66.8 113.4 122.0 131.3 141.1 80.5 86.2 95.7 118.7 71.2 114.5 123.1 132.2 142.0 81.7 87.1 93.0 99.5 106.5 114.2 122.6 131.5 141.1

-26.0 0.6 26.8 52.5 274.7 295.2 314.3 332.0 145.5 171.9 217.4 277.8 85.7 267.3 288.0 307.3 325.4 137.2 165.8 193.4 219.9 245.2 269.1 291.6 312.5 332.0

-

fs' < fy  fs' < fy  fs' < fy  fs' < fy  fs' < fy  fs' => fy  fs' => fy  fs' => fy  fs' => fy  fs' < fy  fs' < fy  fs' < fy  fs' => fy  fs' < fy  fs' => fy  fs' => fy  fs' => fy  fs' => fy  fs' < fy  fs' < fy  fs' < fy  fs' < fy  fs' => fy  fs' => fy  fs' => fy  fs' => fy  fs' => fy 

Mn1

=

ND1.z1

= ND1.(da/2)

Mn2

=

ND2.z2

=

ND2.(dd')

ΣM = n

Mn1

+

Mn2

MR = φ ΣMn

MR = 0.80.ΣMn

mm

kN

kN

kN

kN

kN.m

kN.m

kN.m

kN.m

46.1

391.8

-26.9

364.9

364.9

320.5

-21.0

299.5

239.57  

48.5 51.1 53.8 56.8 100.6 110.3 120.5 130.9 68.4 73.3 81.3 105.4 60.5 100.6 110.3 120.5 130.9 69.4 74.0 79.0 84.5 91.2 100.6 110.3 120.5 130.9

412.1 434.0 457.6 483.0 427.5 469.0 512.0 556.4 290.9 311.4 345.5 448.1 321.3 427.5 469.0 512.0 556.4 295.1 314.5 335.9 359.3 387.5 427.5 469.0 512.0 556.4

-13.2 0.3 13.7 26.7 122.1 122.1 122.1 122.1 74.0 87.5 110.6 122.1 43.6 122.1 122.1 122.1 122.1 69.8 84.4 98.4 111.9 122.1 122.1 122.1 122.1 122.1

398.9 434.3 471.2 509.7 549.7 591.1 634.1 678.6 364.9 398.9 456.2 570.2 364.9 549.7 591.1 634.1 678.6 364.9 398.9 434.3 471.2 509.7 549.7 591.1 634.1 678.6

398.9 434.3 471.2 509.7 549.7 591.1 634.1 678.6 364.9 398.9 456.2 570.2 364.9 549.7 591.1 634.1 678.6 364.9 398.9 434.3 471.2 509.7 549.7 591.1 634.1 678.6

336.4 266.7 280.3 294.9 166.0 179.5 193.1 206.7 117.7 125.1 137.6 171.8 131.3 165.1 178.6 192.1 205.6 118.7 125.8 133.5 141.8 151.7 165.3 179.1 192.9 206.7

-10.3 0.2 7.9 15.4 46.0 45.9 45.8 45.7 28.0 33.0 41.8 45.5 16.5 45.6 45.4 45.3 45.2 26.1 31.6 36.8 41.9 45.7 45.7 45.7 45.7 45.7

326.0 266.9 288.2 310.3 212.0 225.5 238.9 252.4 145.7 158.1 179.5 217.3 147.8 210.7 224.0 237.4 250.8 144.8 157.3 170.3 183.7 197.4 211.0 224.7 238.6 252.4

260.83 213.48 230.57 248.27 169.61 180.37 191.16 201.94 116.59 126.49 143.57 173.88 118.26 168.53 179.23 189.95 200.65 115.86 125.88 136.25 146.95 157.90 168.80 179.80 190.86 201.94