钢结构设计原理 第二版 丁阳 课后答案[第3章].khda

F
3
M I z h3
0.12F 106 990.1 104 132 1.6F
f
w c
215MPa
F 134.4kN
224.5kN
Mh Iz
0.12F 106 990.1 104
(176 132)
VS z Izt
F 103 93744 990.1 104 12 0.789F
0.533F
2 3 2 (0.533F )2 3 (0.789F )2 1.467F
0.5726F
V A
F
F 103
0.19623F
hwh e 400 0.42 2 0.56 30.5
f
T A
V A
0.76883 F
2
f
2
f
f
0.76883 2 1.22
0.5647F 2
f
w f
160
F 189.08KN
3-7
V
374kN, M
1122kN
mm,
f
w c
215MPa, ftw
185MPa,
10.22cm
2 30.5 0.56 40 0.42
Ix
1 0.42 403 12
2 0.56 30.5 202
15904cm4
2
Iy
1 2 0.56 30.53 12
2 0.56 30.5
30.5 10.22 2
0.42 40 10.222 5267.12cm4
I p Ix I y 21171.12cm4
3-3
(1)
hf min 1.5 t2 1.5 20 6.7mm
hf max 1.2t1 1.2 14 16.8mm
hf 10mm
Nx
3N 13
3 540 449.3kN 13
2
2
Ny
N 13
540 299.5kN 13
M
Nx | d2
d1 d2 | 0kN m 2
lw d1 d2 2hf 170 170 2 10 320mm
Vs I max
t
2 532826.667 104 14
99.31Mpa
f
w v
125Mpa
max
Mh I2
100 106
1020
532826.667 104 2
95.72Mpa
f
w f
185Mpa
500 1 max 520 92.04mpa
1
Vsx1 It
100 103 4080 103 532826.667 104 14
N An1
1350 103 6470
208.7MPa
f
215MPa(
)
' n1
N An' 1
1350 103 8101
166.6MPa
f
215MPa(
)
2 2 : An2 t l 20 (400 5 25.5) 5450mm2
N n1 N 1350 103 9
n
n2
An 2
12 185.8MPa f 215MPa( 5450
2 0.7 5.9 5.2762 0.7 7.1762 1983.505(cm4 )
1
11.76 106 75.26 44.62(MPa) 1983.505 104
f
w f
max
11.76 106 1983.505 104 136.74 81.072(MPa)
f
w f
1
98 103 2 186 0.7 10
299.5kN ,lw
320mm,
f
w f
160MPa
M
Nx | d2
d1 d2 | 449.3 |190 150 190 | 8.986kN m
2
2
Iz
2 1 0.7 10 3203 12
3823 104 mm4
f max
Nx 2helw
M lw Iz 2
449.3 103 8.986 106 320
8h f
hf
N 2 0.35× 540 189 (KN)
h f min 1.5 t1 1.5 14 5.6(mm) h f max 10 (1 ~ 2) 9 8(mm) h f 8mm
l w1
189 ×103 2 × 0.7 × 8×160
105.47mm l2
lw2
2h f
105.47 2 × 8 121.47
f
Nx 2helw
449.3 103
100.3MPa
2 0.7 10 320
f
Ny 2helw
299.5 103
66.9MPa
2 0.7 10 320
( f )2
2 f
f
(100.3)2 66.92 1.22
106MPa
f
w f
160MPa(
)
hf 10mm
(2)
hf
10mm, Nx
449.3kN , N y
Nx F sin N y F cos
540 1.5
449.307 KN
12 1.52
1
540
299.54KN
34.1MPa
2 3 2 225.32 3 34.12 232.9MPa 1.1 ftw 1.1 185 203.5MPa(
)
3.8
V 100KN, M 1000KN M ,
Ix
1 1.4 1003 12
2 40 2 512
532826.667cm4
Sx1 40 2 51 4080cm3
100 103 4080 100 14 100 103
An' 1 t l 20 (40 2 4 80 2 5 21.5) 8501mm2
N 1350 103
A n1 n1
6710
201.2MPa f 215MPa( )
' n1
N An' 1
1350 103 8501
158.8MPa
f
215MPa(
)
2 2 An2 t l 20 (400 5 21.5) 5850mm2
N n1 N 1350 103 9
n
n2
An 2
12 173.1MPa f 215MPa( ) 5850
An 2t l 2 10 (400 4 21.5) 6280mm2
N 1350 103
A n1 n1
6280
215MPa f 215MPa( )
3-10
1
Nvb
nv
d2 4
f vb
2 3.14 222 140 10 3 4
6 132)
12 (176 132) 176 132 2
105360mm3
max
VSz1 Izt
F 103 105360 0.887F
990.1 104 12
fvw 125MPa
F 140.9kN
1
M I z h1
0.12F 106 990.1 104 (176 12 12 132) 0.824F
ftw 185MPa
126 12 (176 12 6) 176 12 176
y
2 132mm
126 12 176 12
Iz
126 12 (176 12 6 132)2 176 12 (176 132)2 2
990.1 104 mm4
Sz 126 12 (176 12 6 132) 93744mm3
Sz1
126 12 (176 12
h f 2 10mm h f 3 10mm
X
x 2 18.6 0.7 (18.6 / 2) 2 0.7 5.9 (18.6 0.35) 0.7 14 20.85 13.674(cm) 2 18.6 0.7 0.7 5.9 2 0.7 14
Iw 2
0.7 18.63 (13.674 9.3)2 18.6 0.7 12
3-2
(1)
l w1
N1
2
×
0.7h
f1
f
w f
N1 0.65 × 540 351 (KN)
hf max 1.2 ×10 12 (mm)
h f min 1.5 t1 1.5 14 5.6(mm) h f max 1.2 ×10 12 (mm)
h f 10mm
351×103 lw1 2 × 0.7 ×10 ×160 156.7mm l1 lw1 2h f 156.7 2 ×10 176.7 177 (mm)
Nb min
min{126.7,146.4} 126.7kN
N1b
N n
1350 112.5kN 12
Nb min
126.7kN (
)
(2) 1 1: An1 t l 20 (400 3 25.5) 6470mm2
An' 1 t l 20 (40 2 4 80 2 5 25.5) 8101mm2
n1
55.17mpa
3 2
2
1
1
92.042
3 55.172
132.67mpa
101
f
w f
1.1 185
203.5MPa
3-9
ftb 170MPa, fvb 140MPa, fcb 305MPa, f 215MPa
(1)
Nvb
nv
d2 4
fvb
2
242 140 126.7kN 4
Ncb d t fcb 24 min{10 10, 20} 305 146.4kN
(2)
N3
2 × 0.7 × h f b
f
f
w f
2 × 0.7 × 6 ×100 ×1.22 ×160 163.968 (KN)
125 mm
N1
1N
N3 2
0.65× 540 163.968 2
269.016(KN)
N2
2N
N3 2
0.35× 540 163.968 107.016(KN) 2
l w1
f
w v
125MPa, f
Iz
1 8 (1000 8 2)3 12
2 252 14 (500 14)2 2
24.5 108 mm4
Sz
252 14 (500 14) 1788696mm3 2
Sz1
252 14 (500 14) 8 492 492
2
2
2756952mm3
max
VSz1 Izt
374 103 2756952 24.5 108 12
N1
2
×
0.7h
f1
f
w f
269.016 103 2 × 0.7 × 6 160
200.16(mm)
l1 lw1 h f 200.16 6 206.16 210 (mm)
l w1
N2
2
×
0.7h
f2
f
w f
107.016 103 2 × 0.7 × 6 160 79.625(mm)
l2 lw2 h f 79.625 6 85.625 90(mm)
202 250 157.1kN 4
Ncb
d
t
f
b c
20 min{10 10, 20} 470 188kN
Nb min
min{157.1,188} 157.1kN
N1b
N n
1350 112.5kN 12
Nb min
157.1kN (
)
1 1 An1 t l 20 (400 3 21.5) 6710mm2
37.63(MPa)
( f1 )2
2
f
ff2, ff3
(81.072)2 37.632 1.22
76.367(MPa)
f
w f
F
f f1
h f 1max 12 (1 ~ 2) 11 10(mm) h f min 1.5 t1 1.5 12 5.2(mm)
h f 1 10mm
3-5
fcw 215MPa, ftw 185MPa, fvw 125MPa,V F, M e F 0.12F
106.38KN
N
b c
d tfcv
22 14 305 10 3
93.94KN
N 540
n
Nb min
5.7 93.94
An A ndot 17.2 2 2 23.5 1 29.7cm2
N 540 103 181.8N / mm2 f 215N / mm2 An 29.7 102
50mm 2 N
80mm
2 0.7 10 320 3823 104
137.9MPa 2
f
Ny 2helw
299.5 103 66.9MPa
2 0.7 10 320
( f )2
2 f
f
(137.9)2 66.92 1.22
131.3MPa
f
w f
160MPa(
)
3-4
M Fe 98 0.12 11.76(KN m)
h f 2 max 12 (1 ~ 2) 11 10(mm) h f 3max 12 (1 ~ 2) 11 10(mm)
Fmax min{140.9, 224.5,134.4,138.7} 134.4kN
1.1 ftw
1.1 185
203.5MPa
F 138.7kN
3-6 h1 400mm, h2 305mm
he1 0.43cm, he2 0.56cm
x0
2l2he2
l2 2
2l2he2 l1he1
30.5 0.56 30.5
(3)
An 2t l 2 10 (400 4 25.5) 5960mm2
n1
N An1
1350 103 5960
226.5MPa
f
215MPa(
)
(4) ftb 40MPa, fvb 250MPa, fcb 470MPa, f 215MPa,
) d 1.5 21.5mm
Nvb
nv
d2 4
f vb
2
52.6MPa
fvw 125MPa(
)
1
3
M Iz
h1
0.12F 106 24.5 108
(500
14)
235.4MPa
1 235.4MPa f 215MPa(
)
3 235.4MPa f 215MPa(
)
215MPa
M 1122 106
h Iz
24.5 108
492
225.3MPa
VS z Izt
374 103 1788696 24.5 108 8
e2 h2 x0 30.5 10.22 20.28cm
wenku.baidu.com
rx 20.28cm, ry 20cm
T F e1 e2 F 39.5 20.28 59.78F 0.5978F KN M
T A
Try IP
0.5978F 106 200
21171.12 104
0.5647F
T A
Trx IP
0.5978F 106 202.8 21171.12 104