钢结构第三章习题答案
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3-2 解： (1)
w
f w f N l f11
10.7h ×2=
(KN) 351540×0.65N 1== (mm) 1210×2.1max ==f h
mm)
(6.5145.15.11min ===t h f (mm) 1210×2.1max ==f h
取mm 10=f h
mm 7.156160
×10×0.7×210×3513
1
==w l (mm)
177 176.710×27.156211==+=+=f w h l l f f h h ＜177＜608
(KN) 189540×35.02==N
)mm (6.5145.15.11min ===t h f )mm (89)2~1(10max 或=-=f h 取mm 8=f h
mm 47.105160
×8×0.7×210×8913
1
==w l mm 251 47.2118×247.105222取=+=+=f w h l l (2)
(KN) 163.968160×1.22×100×6×0.7×2h ×0.7×2f 3===w f f f b N β
)KN (016.2692163.968
－540×65.02311==-
∂=N N N
)KN (016.1072
163.968－540×35.02322==-
∂=N N N mm)(16.2001606×0.7×210016.2690.7h ×23
f111
=⨯⨯==w
f
w f N l (m m) 102206.16616.20011==+=+=f w h l l
mm)(625.791606×0.7×210016.1070.7h ×23
f221
=⨯⨯==w
f
w f N l (mm)90625.586625.7922==+=+=f w h l l
(1)
min max 112
2123
1.5 6.7
1.2 1.21416.810
540449.3540299.5||02
2170170210320449.310100.3220.710320f f f x y x w f x f e w f h mm h t mm h mm
N kN N N kN d d M N d kN m
l d d h mm N MPa
h l στ==≈==⨯===
=≈==
≈+=-==+-=+-⨯=⨯==≈⨯⨯⨯=取3
299.51066.9220.710320106160()10y
e w w
f f N MPa
h l MPa f MPa h mm
⨯=≈⨯⨯⨯=≈<=∴=合格 (2)
12234436
max
410,449.3
,299.5,320,160150190
||449.3|190|8.98622
1
20.71032038231012449.3108.98610320137.92220.7103203823102w f x y w f x z x w f e w z h mm N kN N kN l mm f MPa d d M N d kN m I mm N l M M h l I σ=====+-=-=⨯-==⨯
⨯⨯⨯≈⨯⨯⨯=+=+⨯≈⨯⨯⨯⨯3
299.51066.9220.710320131.3160()y
f e w w f Pa N MPa
h l MPa f MPa τ⨯==≈⨯⨯⨯=≈<=合格
)m KN (76.1112.098⋅=⨯==Fe M
)mm (1011)2~1(12max 2或=-=f h 取mm 102=f h )mm (1011)2~1(12max 3或=-=f h 取mm 103=f h
形心距腹板底端的距离X
)cm (674.1314
7.029.57.07.06.18285.20147.0)35.06.18(9.57.02)2/6.18(7.06.182=⨯+⨯⨯+⨯⨯⨯⨯++⨯⨯⨯+⨯⨯⨯=x
322240.718.62(13.6749.3)18.60.720.7 5.9 5.2760.77.1761983.505(cm )
12w I ⎡⎤
⨯=⨯+-⨯⨯+⨯⨯⨯+⨯=⎢⎥⎣⎦
w
f f <=⨯⨯⨯=)MPa (62.4426.7510
505.19831076.114
61σ w f f <=⨯⨯⨯=)MPa (072.8174.13610
505.19831076.1146max
σ )MPa (63.3710
7.0186210983
1=⨯⨯⨯⨯=τ
w f f f f <=+=+)MPa (367.7663.37)22
.1072.81()(
22
221τβσ 则2f f ,3f f 均满足要求。
弯矩主要由翼缘承担，剪力F 主要由腹板承担，焊缝1f f 基本不承担力，因此按构造配置。
)mm (1011)2~1(12max 1或=-=f h )mm (2.5125.15.11min ===t h f 取mm 101=f h
22443
1215,185,125,,0.12176
12612(176126)1761221321261217612
176
12612(176126132)17612(132)990.1102
12612(176126132)9374412612(w w w c t v z z z f MPa f MPa f MPa V F M e F F y mm
I mm S mm S ======⨯⨯+++⨯⨯=
≈⨯+⨯=⨯⨯++-+⨯⨯-≈⨯=⨯⨯++-==⨯⨯3
31max
4
6
114
633176132
176126132)12(176132)1053602
101053600.887125140.9990.11012
0.1210(1761212132)0.824185224.5990.1100.12109w z v z w t z z mm VS F F f MPa F kN I t M F h F f MPa F kN I M F h I τσσ-++-+⨯-⨯
=⨯⨯==≈≤=⇒≤⨯⨯⨯==⨯++-≈≤=⇒≤⨯⨯=
=4
6
4
34
132 1.6215134.490.1100.1210(176132)0.533990.11010937440.789990.11012
1.467 1.1 1.1185203.5138.7w
c z z z w t F f MPa F kN M F h F I VS F F I t F f MPa F kN
στ⨯≈≤=⇒≤⨯⨯==⨯-≈⨯⨯⨯==≈⨯⨯=≈<=⨯=⇒≤腹板上最靠近翼缘处的焊缝
max min{140.9,224.5,134.4,138.7}134.4F kN
∴==