Shores - Laboratory 9 - Concrete Construction | BCM 38000, Lab Reports of Civil Engineering

Download Shores - Laboratory 9 - Concrete Construction | BCM 38000 and more Lab Reports Civil Engineering in PDF only on Docsity! S hou le <O BCM 380 Lab # 11 ~ Shores OM Spring 2007 SHOW ALL CALCULATIONS AND STATE ALL ASSUMPTIONS A steel column is made from a standard structural tube section (HSS 3”x3"x3/16”) from an alloy having a yield stress of 46 ksi and a modulus of elasticity of 29E3 ksi. Assume that the column will be simply supported at its ends aiid have a concentric axial load applied to its upper end. 1, 2. > PIA \, What is the cross sectional area of this HSS steel column? What is the moment of inertia for the column? If the column is 18 feet long what is the Euler buckling load? What is the Euler buckling stress? What load on the column would produce a compressive stress equal to the yield stress of the steel? How does this toad compare to the Euler buckling load for the column? If the 18 feet long steel column is braced at its midpoint so that it cannot buckle in the ‘primary mode, show a sketch of what the shape of the column will be when it does buckle. With the midpoint lateral braces what is the effective length, KL of the column? What load must be applied to the braced column in #4 to cause buckling? If the 18 foot long steel HSS column is braced at its third points what is its effective length? Whiat is the buckling load for the column braced at the third points? Will this column reach this buckling load before the steel fails (yields)? . e A column has a square cross section and is made of wood having a modulus of elasticity of 1.4E6 psi. The wood fails in compression (crushes) at a stress of 3500 psi. The actual dimensions of the column are six inches by six inches. 9. 10. 11. 12. 13. 14, For a column that is 4 inches in length, what load can it support before it fails? Calculate the Euler buckling load for wood columns having lengths of 8 feet to 16 feet in 1 foot increments. Plot the Euler loads for each of these wood columns with length on the X-axis and load on the Y- axis. Use a full sheet of grid paper and orient the plot so that the X-axis is parallel to the long side of the sheet. Connect the points with a smooth line. Plot the crushing load for the columns having the same lengths as those in #11. For what length wood column is the crushing load the same as the Euler buckling load? Show this point on your plot. What is the Euler buckling load of the wood column if it is laterally braced at its midpoint? IY! Io aos 380Lab11 Spring 2007.doc 03/27/07 re Gewecke lon 4 4 U2 21.63 0.465 5.60 5.60 6.02 11.8 5.93 4 4 3B 7.27 0449 8.47 8.47 478 10,2 5.12 1.46 6.22 75 9.13 1.23 4 4 5/16]| 14.83 0.291 10.8 10.8 4.09 9.12 4.56 1.49 5.48 15.3 7.80 1.25 4 4 U4 42.21 0.233 14.2 14.2 3.36 7.79 3.89 1.62 4.62 12.8. 6.55 1.27 4 4 36] §=9.42 0.174 19.9 19.9 2.59 6.22 3.14 1.55 3.65 10.0 5.08 1.28 4 4 0.134 6.89 0.125 29.1 29.1 1.89 4.68 2.34 1.57 2.72 7.38 3.74 1.30 4 4 18 6.46 0.116 31.4 314 177 441 2.20 1.58 2.55 6.92 3.50 41.30 32 31/2 S/16]| 12.70 0.291 9.04 9.04 3.51 5.83 3.33 1.29 4.02 9.9 5.89 1.08 312 31/2 114 10.51 0.233 12.1 412.1 2.90 6.03 2.87 1:32 3.43 8.33 4.92 1.10 342 31/2 316) 8.15 0.174 17.4 17.4 2.24 4.06 2.32 1.35 2.73 6.57 3.84 1.12 312 31/2 0.134 5.98 0.125 25.4 25.1 1,84 3.08 41.76 4.37 2.05 4.88 2.83 1.13 312 312 148 5.61 0.116 27.1 27.1 154 2.90 1.66 1.37 1.93 4.58 2.68 1.13 3 3 414 8.81 0.233 9.90 9.90 2.43 3.01 2.01 4.47 241 5.07 3.51 0.93 3 3 3/16] «6.87 0.174 414.2 14.2 1.89 246 1.64 1.44 1.96 4.04 2.76 0.95 3 3 0.134 5.07 0,125 211 214 1.39 1.89 1.26 VAT 41.48 3.03 2.05 0.96 3 3 4118. ATE 0.116 22,8 22.8 41341 41.79 4.19 tA7 4.39 2.84 1.93 0.87 202 21/2 14 741 0.233. 7.75 7.75 1.97 162 4.30 0.91 41.57 2.79 2.34 077 212 21/2 3G 5.59 0.174 14.3 14.3 1.54 1.35 1.08 0.94 1.29 2.25 1.87 0.78 242 2112 0.134 4.16 0.125 474 7A 1.14 1.06 0.84 0.96 1.60 471 "1.40 0.80 212 212 118 3.90 0.116 18.5 18.5 1.07 1.00 0.80 0.96 0.94 41.61 1.32 0.80 2 2 114 6.41 0.233 5,60 5.60 1,50 0.74 0.74 0.70 0.90 1.31 1,40 0.60 2 2 SMG. 4:32 0.174 8.47 8.47 1.20 0.64 0.64 0.73 0.77, 4.09 1.44 0.62 2 2 0.134 3.25 0.125 13.0 13.0 0.89 0.51 0.51 0.76 0.61 0.84 0.87 0.63 2 2 U8 3.05 0.116 14.2 14,2 0.84 0.49 0.49 0.76 0,58 0.80 0.82 0.63 2 2 0.100 2.50 0.093 18.5 18.5 0.69 041 0.44 O77 0.48 0,66 0.67 0.64 http://www. bullmoosetube.com USA, or from Canada call (600) 882-4866 4819 Clarkson Road » Chesterfield, MO 63017 For additional Information, contact your salesperson Bull Moose Tube Is a Page 4 of 5 (800) 325-4467 © FAX: (636) 537-2645 today at (800) 325-4467 or (636) 537-2600 in the CAPARO GULL MOOSE TUBE COMPANY E-mail; info@bullmoosetube.com  pute Ht | fl Bc 380-1 wiliime, 2] | *) > EEE tere WV MEey 08) wie. PAV EF Wea ly p- re We = [62,000 lo j PLP (Ate! - 129,000 th | o'] = ies 2 104,000 te ; nT ew : fe ers [es BR Gr s0e | ay = gat =: 52,700 Ib | | Sy = ita? * Ybloo 76 | | “Tie | = ne = Yo, $00 tb | | B te Pos A ze = . i . = 7 ~ @ AREA LA . (ey. iy 5) The ward wit fail before wood cajtt My p+ ie = yield at a Ioak of “126,902 Ip, 21, O09, tb this foteralla braced bucttting load because fhe  ta 41 a " oO L $i m7 — = *, 00's g Ne = “ 2 Rie, wy] zt. . eeo's it vO ‘ gj, o' L0'> A 1 ner oH goo'ail me Fl - poo Cosme oo ‘ohf 1000'54t » wan 3 SHO peLPA 49 wwmjon pom 4o¢ Jovo] GHypeng 12INY