STRENGTH ANALYSIS OF REINFORCED CONCRETE COLUMNS

INTERACTION WITH CHART

[C]2013: Ryan Darwin
COLUMN DESIGNATION K2

COLUMN INPUT DATA

Compressive strength of concrete, fc ' = 20 MPa
Yield strength of rebars, fy = 390 MPa
Column width, b = 250 mm
Column breadth, h = 250 mm
Clear cover to rebar centroid, ds = 40 mm
Amount of rebars, n= 4 buah
Diameter of rebars, D= 19 mm
CALCULATION OF INTERACTION DIAGRAM
Modulus of elasticity, Es = 2E+05 MPa
β1 = 0.85 for fc' £ 28 MPa
β1 = 0.85 - 0.05(fc' - 28)/7 for fc' > 28 MPa
Stress distribution factor, β1 = 0.85
Total area of rebars, As = n * p / 4 * D = 1134 mm2
2

Distance between reinforcement, x = h - 2*ds = 170.00 mm

Reinforcement ratio, r = As / Ag = 1.81%
Strength reduction factor,
f = 0.65 for Pn ≥ 0.1 * fc' * b * h for : 0 ≤ Pn ≤ 0.1 * fc' * b * h
f = 0.90 for Pn = 0 f = 0.65 + 0.25 * ( Pno - Pn ) / Pno
 No Area of each reinforcement Distance from the centroid of concrete
1 As1 = 2/4 * As = 567 mm2 d1 = x + ds = 210 mm
2 As2 = 2/4 * As = 567 mm2 d2 = ds = 40 mm
As = 1134 mm2
In conditions of axial compression (Mno = 0) : Pno = 0.80*[ 0.85*fc' *b*h + As*(fy - 0.85*fc')]*10-3 = 1188 kN
0.1 * fc' * b * h *10-3 = 125 kN
On balance condition : c = cb = 600 / (600 + fy) * d1 = 127.3 mm
In conditions of neutral line lies at a distance c from the outer concrete :
Each strain in steel reinforcement : εsi = 0.003 * ( c - di ) / c
The stress on each reinforing steel :
For | εsi | < fy / Es then : fsi = esi* Es
For | εsi | ³ fy / Es then : fsi =| εsi | / esi* fy
Number of intervals from the neutral axis = 112 → Dc = 2.2321
CALCULATION EQUATION UNIT
Internal forces in each layer of reinforcement : Fsi = Asi * fsi * 10
-3
kN
Total internal force of reinforcement : Cs = [ S Fsi ]*10-3 kN
Moment due to internal force in each layer of reinforcement : Msi = Fsi*(h/2 - di) kNmm
Total internal moment of reinforcement : Ms = S Msi kNmm
Depth of stress block in concrete : a = β1 * c mm
Compressive forces in the concrete : Cc = 0.85 * fc' * b * a * 10-3 kN
Moment due to internal force in concrete Mc = Cc * (h - a) / 2 kNmm
Nominal axial capacity Pn = Cs + Cc kN
Nominal moment capacity Mn = (Mc + Ms)*10-3 kNm
Ultimate axial capacity Pu = f * Pn kN
Ultimate moment capacity Mu = f * Mn kNm
1000.00

950.00

900.00

850.00

800.00

750.00

700.00

650.00
f.Pn (kN)

600.00 b = 250 mm
550.00 h = 250 mm
500.00 4 D 19
450.00
fc' = 20 MPa
400.00
fy = 390 MPa

350.00
Pu Mu
300.00 (kN) (kNm)

250.00 112.6 11.7

200.00 129.7 10.7

150.00 124.0 11.9

100.00 82.8 13.0

50.00 163.0 13.5

0.00 116.5 10.2

0 0 0 0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00
0.
0
2.
0
4.
0
6.
0
8. 10. 12. 14. 16. 18. 20. 22. 24. 26. 28. 30. 32. 34. 36. 38. 40. 42. 44. 46. 48. 50. 114.2 15.7
f.Mn (kNm)
72.9 17.3
 50.00

0.00
0 0 0 0 0 0 0 0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00
0. 2. 4. 6. 8. 10. 12. 14. 16. 18. 20. 22. 24. 26. 28. 30. 32. 34. 36. 38. 40. 42. 44. 46. 48. 50.
f.Mn (kNm)

10.0 30.0
COLUMN INTERACTION WITH CHART ANALYSIS 50.0 4.0
c ε s1
ε s2
f
s1
f
s2
F s1
F s2
C s
M s1
M s2
M s a C c
M c
Pn Mn Ф Ф.Pn Ф.Mn
mm MPa MPa kN kN kN kNmm kNmm kNmm mm kN kNmm kN kNm kN kNm
AXIAL CONCENTRIC CONDITION 1188.42 0.00 0.65 772.47 0.00
275.00 0.00071 0.00256 141.82 390.00 80.42 221.15 301.57 -6835.62 18797.96 11962.34 233.75 993.44 8071.68 1188.42 20.03 0.65 772.47 13.02
272.77 0.00069 0.00256 138.07 390.00 78.29 221.15 299.45 -6654.90 18797.96 12143.06 231.85 985.37 8940.95 1188.42 21.08 0.65 772.47 13.70
270.54 0.00067 0.00256 134.26 390.00 76.13 221.15 297.28 -6471.19 18797.96 12326.76 229.96 977.31 9794.92 1188.42 22.12 0.65 772.47 14.38
268.30 0.00065 0.00255 130.38 390.00 73.93 221.15 295.09 -6284.43 18797.96 12513.52 228.06 969.25 10633.59 1188.42 23.15 0.65 772.47 15.05
266.07 0.00063 0.00255 126.44 390.00 71.70 221.15 292.85 -6094.54 18797.96 12703.42 226.16 961.18 11456.96 1188.42 24.16 0.65 772.47 15.70
263.84 0.00061 0.00255 122.44 390.00 69.43 221.15 290.58 -5901.43 18797.96 12896.53 224.26 953.12 12265.03 1188.42 25.16 0.65 772.47 16.36
261.61 0.00059 0.00254 118.36 390.00 67.12 221.15 288.27 -5705.02 18797.96 13092.93 222.37 945.06 13057.80 1188.42 26.15 0.65 772.47 17.00
259.38 0.00057 0.00254 114.22 390.00 64.77 221.15 285.92 -5505.24 18797.96 13292.72 220.47 936.99 13835.28 1188.42 27.13 0.65 772.47 17.63
257.14 0.00055 0.00253 110.00 390.00 62.38 221.15 283.53 -5301.99 18797.96 13495.97 218.57 928.93 14597.45 1188.42 28.09 0.65 772.47 18.26
254.91 0.00053 0.00253 105.71 390.00 59.94 221.15 281.10 -5095.18 18797.96 13702.78 216.67 920.86 15344.32 1188.42 29.05 0.65 772.47 18.88
252.68 0.00051 0.00253 101.34 390.00 57.47 221.15 278.62 -4884.71 18797.96 13913.25 214.78 912.80 16075.90 1188.42 29.99 0.65 772.47 19.49
250.45 0.00048 0.00252 96.90 390.00 54.95 221.15 276.10 -4670.49 18797.96 14127.46 212.88 904.74 16792.17 1180.84 30.92 0.65 767.54 20.10
248.21 0.00046 0.00252 92.37 390.00 52.38 221.15 273.53 -4452.42 18797.96 14345.53 210.98 896.67 17493.15 1170.21 31.84 0.65 760.64 20.70
245.98 0.00044 0.00251 87.77 390.00 49.77 221.15 270.92 -4230.39 18797.96 14567.56 209.08 888.61 18178.83 1159.53 32.75 0.65 753.70 21.29
243.75 0.00042 0.00251 83.08 390.00 47.11 221.15 268.26 -4004.30 18797.96 14793.66 207.19 880.55 18849.21 1148.81 33.64 0.65 746.73 21.87
241.52 0.00039 0.00250 78.30 390.00 44.40 221.15 265.55 -3774.02 18797.96 15023.93 205.29 872.48 19504.29 1138.04 34.53 0.65 739.72 22.44
239.29 0.00037 0.00250 73.43 390.00 41.64 221.15 262.79 -3539.45 18797.96 15258.50 203.39 864.42 20144.06 1127.21 35.40 0.65 732.69 23.01
237.05 0.00034 0.00249 68.47 390.00 38.83 221.15 259.98 -3300.47 18797.96 15497.49 201.50 856.36 20768.55 1116.34 36.27 0.65 725.62 23.57
234.82 0.00032 0.00249 63.42 390.00 35.96 221.15 257.12 -3056.94 18797.96 15741.02 199.60 848.29 21377.73 1105.41 37.12 0.65 718.52 24.13
232.59 0.00029 0.00248 58.27 390.00 33.04 221.15 254.20 -2808.73 18797.96 15989.22 197.70 840.23 21971.61 1094.43 37.96 0.65 711.38 24.67
230.36 0.00027 0.00248 53.02 390.00 30.07 221.15 251.22 -2555.71 18797.96 16242.24 195.80 832.17 22550.19 1083.38 38.79 0.65 704.20 25.22
228.13 0.00024 0.00247 47.67 390.00 27.03 221.15 248.18 -2297.75 18797.96 16500.21 193.91 824.10 23113.47 1072.29 39.61 0.65 696.99 25.75
225.89 0.00021 0.00247 42.21 390.00 23.94 221.15 245.09 -2034.68 18797.96 16763.27 192.01 816.04 23661.46 1061.13 40.42 0.65 689.73 26.28
223.66 0.00018 0.00246 36.65 390.00 20.78 221.15 241.93 -1766.37 18797.96 17031.59 190.11 807.97 24194.14 1049.91 41.23 0.65 682.44 26.80
221.43 0.00015 0.00246 30.97 390.00 17.56 221.15 238.71 -1492.64 18797.96 17305.31 188.21 799.91 24711.53 1038.62 42.02 0.65 675.11 27.31
219.20 0.00013 0.00245 25.17 390.00 14.27 221.15 235.43 -1213.34 18797.96 17584.61 186.32 791.85 25213.61 1027.27 42.80 0.65 667.73 27.82
216.96 0.00010 0.00245 19.26 390.00 10.92 221.15 232.07 -928.29 18797.96 17869.66 184.42 783.78 25700.40 1015.86 43.57 0.65 660.31 28.32
214.73 0.00007 0.00244 13.22 390.00 7.50 221.15 228.65 -637.32 18797.96 18160.63 182.52 775.72 26171.89 1004.37 44.33 0.65 652.84 28.82
212.50 0.00004 0.00244 7.06 390.00 4.00 221.15 225.16 -340.23 18797.96 18457.72 180.63 767.66 26628.08 992.81 45.09 0.65 645.33 29.31
210.27 0.00000 0.00243 0.76 390.00 0.43 221.15 221.59 -36.84 18797.96 18761.11 178.73 759.59 27068.97 981.18 45.83 0.65 637.77 29.79
208.04 -0.00003 0.00242 -5.67 390.00 -3.21 221.15 217.94 273.06 18797.96 19071.02 176.83 751.53 27494.55 969.47 46.57 0.65 630.15 30.27
205.80 -0.00006 0.00242 -12.23 390.00 -6.94 221.15 214.21 589.69 18797.96 19387.65 174.93 743.47 27904.85 957.68 47.29 0.65 622.49 30.74
203.57 -0.00009 0.00241 -18.95 390.00 -10.74 221.15 210.41 913.26 18797.96 19711.22 173.04 735.40 28299.84 945.81 48.01 0.65 614.78 31.21
 c ε s1
ε s2
fs1
fs2
F s1
F s2
C s
M s1
M s2
M s a C c
M c
Pn Mn Ф Ф.Pn Ф.Mn
mm MPa MPa kN kN kN kNmm kNmm kNmm mm kN kNmm kN kNm kN kNm
201.34 -0.00013 0.00240 -25.81 390.00 -14.64 221.15 206.52 1244.01 18797.96 20041.96 171.14 727.34 28679.53 933.86 48.72 0.65 607.01 31.67
199.11 -0.00016 0.00240 -32.83 390.00 -18.61 221.15 202.54 1582.17 18797.96 20380.12 169.24 719.27 29043.92 921.81 49.42 0.65 599.18 32.13
196.88 -0.00020 0.00239 -40.00 390.00 -22.68 221.15 198.47 1928.00 18797.96 20725.95 167.34 711.21 29393.01 909.68 50.12 0.65 591.29 32.58
194.64 -0.00024 0.00238 -47.34 390.00 -26.84 221.15 194.31 2281.76 18797.96 21079.71 165.45 703.15 29726.81 897.46 50.81 0.65 583.35 33.02
192.41 -0.00027 0.00238 -54.85 390.00 -31.10 221.15 190.05 2643.72 18797.96 21441.68 163.55 695.08 30045.30 885.13 51.49 0.65 575.34 33.47
190.18 -0.00031 0.00237 -62.54 390.00 -35.46 221.15 185.69 3014.19 18797.96 21812.15 161.65 687.02 30348.50 872.71 52.16 0.65 567.26 33.90
187.95 -0.00035 0.00236 -70.40 390.00 -39.92 221.15 181.23 3393.46 18797.96 22191.41 159.75 678.96 30636.40 860.19 52.83 0.65 559.12 34.34
185.71 -0.00039 0.00235 -78.46 390.00 -44.49 221.15 176.66 3781.84 18797.96 22579.79 157.86 670.89 30908.99 847.55 53.49 0.65 550.91 34.77
183.48 -0.00043 0.00235 -86.72 390.00 -49.17 221.15 171.98 4179.67 18797.96 22977.62 155.96 662.83 31166.29 834.81 54.14 0.65 542.63 35.19
181.25 -0.00048 0.00234 -95.17 390.00 -53.97 221.15 167.18 4587.30 18797.96 23385.25 154.06 654.77 31408.29 821.95 54.79 0.65 534.27 35.62
179.02 -0.00052 0.00233 -103.84 390.00 -58.88 221.15 162.27 5005.10 18797.96 23803.05 152.17 646.70 31634.99 808.97 55.44 0.65 525.83 36.03
176.79 -0.00056 0.00232 -112.73 390.00 -63.92 221.15 157.23 5433.44 18797.96 24231.40 150.27 638.64 31846.39 795.87 56.08 0.65 517.31 36.45
174.55 -0.00061 0.00231 -121.84 390.00 -69.09 221.15 152.06 5872.74 18797.96 24670.70 148.37 630.57 32042.49 782.64 56.71 0.65 508.71 36.86
172.32 -0.00066 0.00230 -131.19 390.00 -74.39 221.15 146.76 6323.43 18797.96 25121.38 146.47 622.51 32223.29 769.27 57.34 0.65 500.03 37.27
170.09 -0.00070 0.00229 -140.79 390.00 -79.83 221.15 141.32 6785.94 18797.96 25583.89 144.58 614.45 32388.79 755.77 57.97 0.65 491.25 37.68
167.86 -0.00075 0.00229 -150.64 390.00 -85.42 221.15 135.73 7260.75 18797.96 26058.70 142.68 606.38 32538.99 742.12 58.60 0.65 482.38 38.09
165.63 -0.00080 0.00228 -160.75 390.00 -91.16 221.15 130.00 7748.36 18797.96 26546.31 140.78 598.32 32673.90 728.32 59.22 0.65 473.41 38.49
163.39 -0.00086 0.00227 -171.15 390.00 -97.05 221.15 124.10 8249.29 18797.96 27047.25 138.88 590.26 32793.50 714.36 59.84 0.65 464.33 38.90
161.16 -0.00091 0.00226 -181.83 390.00 -103.11 221.15 118.05 8764.10 18797.96 27562.06 136.99 582.19 32897.81 700.24 60.46 0.65 455.15 39.30
158.93 -0.00096 0.00224 -192.81 390.00 -109.33 221.15 111.82 9293.37 18797.96 28091.33 135.09 574.13 32986.81 685.95 61.08 0.65 445.87 39.70
156.70 -0.00102 0.00223 -204.10 390.00 -115.74 221.15 105.41 9837.72 18797.96 28635.68 133.19 566.07 33060.52 671.48 61.70 0.65 436.46 40.10
154.46 -0.00108 0.00222 -215.72 390.00 -122.33 221.15 98.83 10397.80 18797.96 29195.76 131.29 558.00 33118.93 656.83 62.31 0.65 426.94 40.50
152.23 -0.00114 0.00221 -227.68 390.00 -129.11 221.15 92.04 10974.31 18797.96 29772.26 129.40 549.94 33162.04 641.98 62.93 0.65 417.29 40.91
150.00 -0.00120 0.00220 -240.00 390.00 -136.09 221.15 85.06 11567.97 18797.96 30365.93 127.50 541.88 33189.84 626.93 63.56 0.65 407.51 41.31
147.77 -0.00126 0.00219 -252.69 390.00 -143.29 221.15 77.86 12179.57 18797.96 30977.53 125.60 533.81 33202.35 611.67 64.18 0.65 397.59 41.72
145.54 -0.00133 0.00218 -265.77 390.00 -150.71 221.15 70.45 12809.93 18797.96 31607.89 123.71 525.75 33199.56 596.20 64.81 0.65 387.53 42.12
143.30 -0.00140 0.00216 -279.25 390.00 -158.35 221.15 62.80 13459.93 18797.96 32257.89 121.81 517.68 33181.47 580.48 65.44 0.65 377.31 42.54
141.07 -0.00147 0.00215 -293.16 390.00 -166.24 221.15 54.91 14130.50 18797.96 32928.45 119.91 509.62 33148.09 564.53 66.08 0.65 366.95 42.95
138.84 -0.00154 0.00214 -307.52 390.00 -174.38 221.15 46.77 14822.63 18797.96 33620.58 118.01 501.56 33099.40 548.33 66.72 0.65 356.41 43.37
136.61 -0.00161 0.00212 -322.35 390.00 -182.79 221.15 38.36 15537.37 18797.96 34335.33 116.12 493.49 33035.41 531.85 67.37 0.65 345.70 43.79
134.38 -0.00169 0.00211 -337.67 390.00 -191.48 221.15 29.67 16275.87 18797.96 35073.82 114.22 485.43 32956.12 515.10 68.03 0.65 334.82 44.22
132.14 -0.00177 0.00209 -353.51 390.00 -200.46 221.15 20.69 17039.31 18797.96 35837.27 112.32 477.37 32861.54 498.06 68.70 0.65 323.74 44.65
129.91 -0.00185 0.00208 -369.90 390.00 -209.75 221.15 11.40 17828.99 18797.96 36626.94 110.42 469.30 32751.65 480.70 69.38 0.65 312.46 45.10
127.68 -0.00193 0.00206 -386.85 390.00 -219.37 221.15 1.78 18646.28 18797.96 37444.23 108.53 461.24 32626.47 463.02 70.07 0.65 300.97 45.55
125.45 -0.00202 0.00204 -390.00 390.00 -221.15 221.15 0.00 18797.96 18797.96 37595.91 106.63 453.18 32485.99 453.18 70.08 0.65 294.56 45.55
123.21 -0.00211 0.00203 -390.00 390.00 -221.15 221.15 0.00 18797.96 18797.96 37595.91 104.73 445.11 32330.20 445.11 69.93 0.65 289.32 45.45
120.98 -0.00221 0.00201 -390.00 390.00 -221.15 221.15 0.00 18797.96 18797.96 37595.91 102.83 437.05 32159.12 437.05 69.76 0.65 284.08 45.34
 c ε s1
ε s2
fs1
fs2
F s1
F s2
C s
M s1
M s2
M s a C c
M c
Pn Mn Ф Ф.Pn Ф.Mn
mm MPa MPa kN kN kN kNmm kNmm kNmm mm kN kNmm kN kNm kN kNm
118.75 -0.00231 0.00199 -390.00 390.00 -221.15 221.15 0.00 18797.96 18797.96 37595.91 100.94 428.98 31972.74 428.98 69.57 0.65 278.84 45.22
116.52 -0.00241 0.00197 -390.00 390.00 -221.15 221.15 0.00 18797.96 18797.96 37595.91 99.04 420.92 31771.06 420.92 69.37 0.65 273.60 45.09
114.29 -0.00251 0.00195 -390.00 390.00 -221.15 221.15 0.00 18797.96 18797.96 37595.91 97.14 412.86 31554.08 412.86 69.15 0.65 268.36 44.95
112.05 -0.00262 0.00193 -390.00 385.82 -221.15 218.78 -2.37 18797.96 18596.32 37394.28 95.25 404.79 31321.80 402.42 68.72 0.65 261.57 44.67
109.82 -0.00274 0.00191 -390.00 381.46 -221.15 216.31 -4.84 18797.96 18386.49 37184.45 93.35 396.73 31074.22 391.89 68.26 0.65 254.73 44.37
107.59 -0.00286 0.00188 -390.00 376.93 -221.15 213.74 -7.41 18797.96 18167.96 36965.91 91.45 388.67 30811.35 381.25 67.78 0.65 247.82 44.06
105.36 -0.00298 0.00186 -390.00 372.20 -221.15 211.06 -10.09 18797.96 17940.16 36738.12 89.55 380.60 30533.17 370.51 67.27 0.65 240.83 43.73
103.13 -0.00311 0.00184 -390.00 367.27 -221.15 208.26 -12.89 18797.96 17702.50 36500.46 87.66 372.54 30239.69 359.65 66.74 0.65 233.77 43.38
100.89 -0.00324 0.00181 -390.00 362.12 -221.15 205.35 -15.81 18797.96 17454.33 36252.29 85.76 364.48 29930.92 348.67 66.18 0.65 226.63 43.02
98.66 -0.00339 0.00178 -390.00 356.74 -221.15 202.29 -18.86 18797.96 17194.93 35992.88 83.86 356.41 29606.84 337.55 65.60 0.65 219.41 42.64
96.43 -0.00353 0.00176 -390.00 351.11 -221.15 199.10 -22.05 18797.96 16923.52 35721.47 81.96 348.35 29267.47 326.30 64.99 0.65 212.09 42.24
94.20 -0.00369 0.00173 -390.00 345.21 -221.15 195.76 -25.40 18797.96 16639.24 35437.20 80.07 340.28 28912.80 314.89 64.35 0.65 204.68 41.83
91.96 -0.00385 0.00170 -390.00 339.03 -221.15 192.25 -28.90 18797.96 16341.16 35139.12 78.17 332.22 28542.83 303.32 63.68 0.65 197.16 41.39
89.73 -0.00402 0.00166 -390.00 332.54 -221.15 188.57 -32.58 18797.96 16028.26 34826.22 76.27 324.16 28157.55 291.57 62.98 0.65 189.52 40.94
87.50 -0.00420 0.00163 -390.00 325.71 -221.15 184.70 -36.45 18797.96 15699.39 34497.35 74.37 316.09 27756.98 279.64 62.25 0.65 181.77 40.47
85.27 -0.00439 0.00159 -390.00 318.53 -221.15 180.63 -40.53 18797.96 15353.30 34151.26 72.48 308.03 27341.11 267.50 61.49 0.65 173.88 39.97
83.04 -0.00459 0.00155 -390.00 310.97 -221.15 176.34 -44.82 18797.96 14988.61 33786.56 70.58 299.97 26909.94 255.15 60.70 0.65 165.85 39.45
80.80 -0.00480 0.00151 -390.00 302.98 -221.15 171.81 -49.34 18797.96 14603.77 33401.72 68.68 291.90 26463.47 242.56 59.87 0.65 157.66 38.91
78.57 -0.00502 0.00147 -390.00 294.55 -221.15 167.02 -54.13 18797.96 14197.06 32995.01 66.79 283.84 26001.71 229.71 59.00 0.65 149.31 38.35
76.34 -0.00525 0.00143 -390.00 285.61 -221.15 161.96 -59.19 18797.96 13766.56 32564.52 64.89 275.78 25524.64 216.58 58.09 0.65 140.78 37.76
74.11 -0.00550 0.00138 -390.00 276.14 -221.15 156.59 -64.56 18797.96 13310.14 32108.09 62.99 267.71 25032.27 203.15 57.14 0.65 132.05 37.14
71.87 -0.00577 0.00133 -390.00 266.09 -221.15 150.89 -70.27 18797.96 12825.36 31623.32 61.09 259.65 24524.61 189.38 56.15 0.65 123.10 36.50
69.64 -0.00605 0.00128 -390.00 255.38 -221.15 144.82 -76.33 18797.96 12309.51 31107.46 59.20 251.58 24001.64 175.25 55.11 0.65 113.91 35.82
67.41 -0.00635 0.00122 -390.00 243.97 -221.15 138.35 -82.81 18797.96 11759.50 30557.45 57.30 243.52 23463.38 160.72 54.02 0.65 104.47 35.11
65.18 -0.00667 0.00116 -390.00 231.78 -221.15 131.43 -89.72 18797.96 11171.81 29969.76 55.40 235.46 22909.81 145.74 52.88 0.65 94.73 34.37
62.95 -0.00701 0.00109 -390.00 218.72 -221.15 124.03 -97.12 18797.96 10542.44 29340.40 53.50 227.39 22340.95 130.27 51.68 0.65 84.68 33.59
60.71 -0.00738 0.00102 -390.00 204.71 -221.15 116.08 -105.07 18797.96 9866.80 28664.76 51.61 219.33 21756.79 114.26 50.42 0.66 75.74 33.42
58.48 -0.00777 0.00095 -390.00 189.62 -221.15 107.52 -113.63 18797.96 9139.58 27937.54 49.71 211.27 21157.33 97.64 49.09 0.68 66.67 33.52
56.25 -0.00820 0.00087 -390.00 173.33 -221.15 98.29 -122.86 18797.96 8354.65 27152.60 47.81 203.20 20542.57 80.34 47.70 0.70 56.53 33.56
54.02 -0.00866 0.00078 -390.00 155.70 -221.15 88.29 -132.86 18797.96 7504.84 26302.80 45.92 195.14 19912.51 62.28 46.22 0.73 45.17 33.52
51.79 -0.00917 0.00068 -390.00 136.55 -221.15 77.43 -143.72 18797.96 6581.78 25379.73 44.02 187.08 19267.15 43.36 44.65 0.75 32.43 33.39
50.79 -0.00941 0.00064 -390.00 127.43 -221.15 72.26 -148.89 18797.96 6141.93 24939.88 43.17 183.46 18973.06 34.57 43.91 0.76 26.22 33.31
49.79 -0.00965 0.00059 -390.00 117.93 -221.15 66.88 -154.28 18797.96 5684.41 24482.36 42.32 179.85 18675.91 25.57 43.16 0.77 19.67 33.20
47.50 -0.01026 0.00047 -390.00 94.74 -221.15 53.72 -167.43 18797.96 4566.30 23364.26 40.38 171.59 17985.17 4.16 41.35 0.80 3.31 32.87

SMALL AXIAL CONDITION : Pn = 0.1 * fc' * b * h 81.25 0.00

81.25 50.00
 c ε s1
ε s2
fs1
fs2
F s1
F s2
C s
M s1
M s2
M s a C c
M c
Pn Mn Ф Ф.Pn Ф.Mn
mm MPa MPa kN kN kN kNmm kNmm kNmm mm kN kNmm kN kNm kN kNm
BALANCE CONDITION
0.00 0.00
127.27 -0.00195 0.00206 -390.00 390.00 -221.15 221.15 0.00 18797.96 18797.96 37595.91 108.18 459.77 32602.07 459.77 70.20 0.65 298.85 45.63