400 b 500

24 h 500

642.4 435 1927.2

250 1284.8

65 1927.2

250000 7050.8 E 200000

5139.2 3666.4

i c a

1

-0.008 -400 -770.9 -185 118.6 100.8 -0.007 -400 -770.9 -185 130.5 110.9 -0.006 -400 -770.9 -185 145.0 123.3 -0.005 -400 -770.9 -185 163.1 138.7 -0.004 -400 -770.9 -185 186.4 158.5 -0.003 -400 -770.9 -185 217.5 184.9 -0.002 -400 -770.9 -185 261.0 221.9 -0.001 -200 -385.4 -185 326.3 277.3

0 0 0.0 -185 435.0 369.8 0.001 200 346.1 -185 652.5 554.6 0.002 400 731.6 -185 1305.0 1109.3 0.004 400 770.9 -185 -1305.0 -1109.3 0.005 400 770.9 -185 -652.5 -554.6 0.006 400 770.9 -185 -435.0 -369.8 0.007 400 770.9 -185 -326.3 -277.3 0.008 400 770.9 -185 -261.0 -221.9

<예제 9-1>정사각형 기둥의 공칭강도와 설계강도를 계산하여 상관곡선을 작성하라. 재료강도는 fy=400MPa, fck=24MPa로 하며, D29 철근의 단면적은 642.4mm2이다.

fy

fck

As(D-29) d1 As1

d2 As2

d3 As3

Ag Pn

Ast ØPn(max)

εsi f si[MPa] N si [KN] h/2-di

2

-0.0033 -400 -513.9 0 118.6 100.8 -0.0027 -400 -513.9 0 130.5 110.9 -0.0022 -400 -513.9 0 145.0 123.3 -0.0016 -320 -410.5 0 163.1 138.7 -0.0010 -205 -262.9 0 186.4 158.5 -0.0004 -90 -115.2 0 217.5 184.9 0.0001 25 32.5 0 261.0 221.9 0.0007 140 154.0 0 326.3 277.3 0.0013 255 301.6 0 435.0 369.8 0.0019 370 449.3 0 652.5 554.6 0.0024 400 487.7 0 1305.0 1109.3 0.0036 400 513.9 0 -1305.0 -1109.3 0.0041 400 513.9 0 -652.5 -554.6 0.0047 400 513.9 0 -435.0 -369.8 0.0053 400 513.9 0 -326.3 -277.3 0.0059 400 513.9 0 -261.0 -221.9

3

0.00136 271 483.5 185 118.6 100.8 0.00151 301 541.1 185 130.5 110.9 0.00166 331 598.7 185 145.0 123.3 0.00180 361 656.2 185 163.1 138.7 0.00195 391 713.8 185 186.4 158.5 0.00210 400 731.6 185 217.5 184.9 0.00225 400 731.6 185 261.0 221.9 0.00240 400 731.6 185 326.3 277.3 0.00255 400 731.6 185 435.0 369.8 0.00270 400 731.6 185 652.5 554.6 0.00285 400 731.6 185 1305.0 1109.3 0.00315 400 770.9 185 -1305.0 -1109.3 0.00330 400 770.9 185 -652.5 -554.6 0.00345 400 770.9 185 -435.0 -369.8 0.00360 400 770.9 185 -326.3 -277.3 0.00375 400 770.9 185 -261.0 -221.9

c a

1 -0.008 -770.9 -513.9 483.5 118.6 100.8 227.2 437.3 147.7 2 -0.007 -770.9 -513.9 541.1 130.5 110.9 387.7 462.8 252.0 3 -0.006 -770.9 -513.9 598.7 145.0 123.3 571.0 490.2 371.2 4 -0.005 -770.9 -410.5 656.2 163.1 138.7 889.1 519.5 577.9 5 -0.004 -770.9 -262.9 713.8 186.4 158.5 1296.4 550.7 842.7 6 -0.003 -770.9 -115.2 731.6 217.5 184.9 1731.2 575.1 1125.3 7 -0.002 -770.9 32.5 731.6 261.0 221.9 2256.0 592.7 1466.4 8 -0.001 -385.4 154.0 731.6 326.3 277.3 3328.7 521.6 1941.7 9 0 0.0 301.6 731.6 435.0 369.8 4804.7 381.0 2482.4

10 0.001 346.1 449.3 731.6 652.5 554.6 7184.2 -83.2 4190.8 11 0.002 731.6 487.7 731.6 1305.0 1109.3 13265.2 -3446.6 8622.4 12 0.004 770.9 513.9 770.9 -1305.0 -1109.3 -9258.7 -9103.8 -7252.6 13 0.005 770.9 513.9 770.9 -652.5 -554.6 -3601.5 -2983.1 -3061.3 14 0.006 770.9 513.9 770.9 -435.0 -369.8 -1715.8 -1640.1 -1458.4 15 0.007 770.9 513.9 770.9 -326.3 -277.3 -772.9 -1099.3 -657.0 16 0.008 770.9 513.9 770.9 -261.0 -221.9 -207.2 -816.7 -176.1

εs1 N s1 N s2 N s3 Pn Mn ØPn

0.0 100.0 200.0 300.0 400.0 500.0 600.0 700.0 0.0

1000.0

2000.0

3000.0

4000.0

5000.0

6000.0

7000.0

8000.0

기둥의 상관곡선

Pn Mn

ØPn ØMn

Mn

Pn

정사각형 기둥의 공칭강도와 설계강도를 계산하여 상관곡선을 작성하라.로 하며, D29 철근의 단면적은 642.4mm2이다.

284.3 300.8 318.6 337.7 357.9 373.8 385.2 304.3 196.8 -48.5

-2240.3 -7131.3 -2535.6 -1394.1 -934.4 -694.2

ØMn