自由截面剛性分析.xls

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1、19:41 2020/6/17 Engineer: Sheet: Section_by_nodes File: 993f1e96d2289ab516a5155bf53aec3f.xls CROSS-SECTION PROPERTIES Described by Nodes Coordinates Sample Box Girder Section Units:m Nodes Coordinates Section Properties About Centroidal Axis Parallel to Original Axis XYf =0.000 degX-dim =3.30 m 10.0

2、000.000A =2.39 m2Y-dim =1.25 m 2-0.6000.000Xcg =0.000 mSx(top) =0.631 m3 3-0.8650.870Ycg =0.748 mSx(bot) =0.423 m3 4-1.6501.050Ixo =0.317 m4Sy(left) =0.664 m3 5-1.6501.250Iyo =1.096 m4Sy(right)=0.664 m3 61.6501.250Ixyo =0.0000 m4 71.6501.050 80.8650.870Section Properties About Principal Axis 90.6000

3、.000f =0.000 degSxp(top) =0.6 m3 100.0000.000Ixp =0.3 m4Sxp(bot) =0.4 m3 11Iyp =1.1 m4Syp(left) =0.7 m3 12Ixyp =0.0 m4Syp(right)=0.7 m3 13J =1.4 m4 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 22110-1-1-2-2 -1 -1 0 0 1 1 2 2 3 19:41 2020/6/17 Engineer: Sheet: Section_by_layers File: 9

4、93f1e96d2289ab516a5155bf53aec3f.xls CROSS-SECTION PROPERTIES Described by Layers (from top to bottom) Section Title: 41 Deck Bulb Tee with 72 deck Units:in Section Number Thickness of Layer Width of Section Dist. to Section from Top 00.00072.000.000 15.80572.005.805 20.00051.005.805 33.00012.008.805

5、 42.0008.0010.805 527.0008.0037.805 63.00027.0040.805 76.00027.0046.805 80.000 90.000Elastic Section Properties 100.000Height =46.805 in 110.000Area =962.96 in2 120.000I =263132 in4 130.000Yt =17.127 in 140.000Yb =29.678 in 150.000St =15363 in3 160.000Sb =8866 in3 170.000 180.000 190.000 CROSS-SECTI

6、ON 403020100-10-20-30-40 -50 -45 -40 -35 -30 -25 -20 -15 -10 -5 0 19:41 2020/6/17 Engineer: Sheet: Torsion_PropertiesFile: 993f1e96d2289ab516a5155bf53aec3f.xls Torsional Constants for Common Sections (Ref. Roark) Units:ft Thin Wall Box K = 2tt1(a-t)2(b-t1)2/(at+bt1-t2-t12)Torsional Constant Average

7、Stressts = T/(2t(a-t)(b-t1)near midlength of short sides tL = T/(2t1(a-t)(b-t1)near midlength of long sides Note: Use K/2 for concrete box-girders aft15.65 bft5.5 tft1.333 t1ft0.75tb Kft4408 Tkip-ft1000 tspsi15.64 tLpsi68.08 a t1 Solid square K = (2.25/16)a4a - square side dimension t = 0.601*8T/a3a

8、t midpoint of each side a aft10 Kft41406 Tkip-ft1000a tpsi33.4 Solid rectangle K = ab31/3-0.21b/a(1-b4/12a4)for a b t = 3T/ab21+0.6095(b/a)+0.8865(b/a)2-1.8023(b/a)3+0.91(b/a)4 aft6 bft3.5 b b/a0.583 Kft455 Tkip-ft1000a tpsi398.2 Solid Circle K = pR4/2 t = 2T/pR3 Rft3 Kft4127 Tkip-ft1000 tpsi163.7 T-Section K = K1+K2 K1 = ab31/3-0.21b/a(1-b4/12a4) K2 = cd31/3-0.105d/c(1-d4/192c4) a aft8.5b bft3 cft3 dft3.5c K1ft460 K2ft427 Kft487 d I - Section a K = 2K1+K2b K1 = ab31/3-0.21b/a(1-b4/12a4) K2 = (1/3)cd3 d c aft8.5 bft3 cft3 dft3.5b K1ft460a K2ft443 Kft4162