Answer Happy

Part B
OneSteel Section Type B = 100PFC
Table 19 Parallel Flange Channels - Dimensions and Properties Designation Mass Depth of Flange Web Root Depth Thickness Radius Between Section per metre Flanges Area of of Cross Centroid (b-t) Section Width Thickness d, d b, t t r₂ 4 d t₂ t A₁ X kg/m mm mm mm mm mm mm mm² 380 PFC 55.2 380 100 17.5 10.0 14.0 345 34.5 5.14 7030 300 PFC 40.1 300 90 16.0 8.0 14.0 268 33.5 5.13 5110 250 PFC 35.5 250 150 90 8.0 12.0 220 230 27.5 220 213 5.47 4520 19:0 MULU 230 PFC 25.1 230 75 12.0 6.5 12.0 40 206 31.7 5.71 3.01 3200 B www 200 PFC 22.9 200 75 12.0 6.0 12.0 176 29.3 5.75 2920 180 PFC 20.9 180 75 11.0 6.0 12.0 158 26.3 6.27 2660 150 PFC 17.7 150 75 9.5 6.0 10.0 131 7.26 2250 125 PFC 11.9 125 65 7.5 4.7 8.0 21.8 23.4 8.04 1520 86.6 20.6 6.84 1060 110 20 100 PFC 8.33 100 50 6.7 4.2 8.0 75 PFC 5.92 75 40 6.1 3.8 8.0 62.8 16.5 5.94 754 Capacity Table 20 Parallel Flange Channels - Properties for Assessing Section Designation Yield Stress Form Factor About x-axis About y-axis Flange Web f₁ k Z 10³mm³ Load A Z 10/mm³ MPa MPa 300PLUS® 380 PFC 280 320 1.00 946 115 300 PFC 300 320 1.00 564 82.3 250 PFC 300 320 1.00 421 88.7 230 PFC 300 320 1.00 271 45.1 200 PFC 300 320 1.00 221 46.7 180 PFC 300 320 1.00 182 44.9 150 PFC 320 320 1.00 129 38.5 125 PFC 320 320 1.00 72.8 22.8 100 PFC 320 320 100 40.3 12.0 75 PFC 320 320 1.00 21.4 6.84 300PLUS replaced Grade 250 as the base grade for these sections in 1994. 300PLUS* hot rolled sections are produced to exceed the minimum requirements of AS/NZS 3679.1-300. Notes 1. For 300PLUS* sections the tensile strength (f) is 440 MPa. 2. For Grade 350 sections the tensile strength (f) is 480 MPa. 3. C: Compact Section; N: Non-compact Section; S: Slender Section. 3 onesteel Buildwin) Standards manufacturing Gross Coordinate Coordinate of Shear Centre X₂ Load B Z 10/mm³ 134 96.6 89.0 50.4 49.1 44.8 38.5 22.8 12.0 6.84 mm 27.5 27.2 28.6 20.0 22.6 24.0 24.4 24.5 24.9 21.8 16.7 13.7 About x-axis L Z S. 4 L Ze S₁ mm 10 mm 10 mm³ 10mm³ 10mm 10³mm³ 10mm² 10/mm³ mm 147 56.7 152 798 946 6.48 89.4 236 161 404 4.04 56.1 72.4 483 564 119 64.4 148 117 127 107 58.5 45.1 30.3 361 Su 421 99.9 3.64 59.3 372 43. 141 46.7 26.8 233 91.4 1.76 77.8 61.0 www 271 221 33.6 32.7 50.5 19.1 191 B 50.3 182 14.1 157 51.0 8.34 111 129 45.0 3.97 63.5 73.0 80.9 1.65 67.8 72.9 1.51 29.9 61.5 60.8 1.29 25.7 51.6 51.1 0.658 15.2 30.2 40.4 0.267 21.4 30.1 0.120 4.56 33.9 1,74 347 40.3 27.2 0.683 18.2 8.01 16.0 8.71 Yield Stress Form Factor About x-axis k Z 10³mm³ AS/NZS 3679.1-350 1.00 946 1.00 564 1.00 421 1.00 271 1.00 221 1.00 182 1.00 129 1.00 72.0 1.00 40.3 1.00 21.4 Flange f, MPa 340 340 340 340 340 340 360 360 360 360 Web f MPa 360 360 360 360 360 360 360 360 360 360 AUSTRALIAN MADE About y-axis d 28.4 20.4 23.5 58.9 23.8 53.8 23.8 46.0 23.9 27.2 20.8 15.9 14.4 8.20 12.6 About y-axis Load A 2₂, 10/mm³ 104 77.2 84.9 42.6 44.5 44.1 38.5 22.5 12.0 6.84 by-tw 。。 S mm 30.4 28.1 by 14 Load B Za 10/mm³ 134 96.6 89.0 50,4 49.1 44.8 38.5 22.8 12.0 6.84 d₁ Torsion Warping Designation Constant Constant J L 10 mm 10 mm 491 152 380 PFC 304 58.1 300 PFC 248 250 PFC 112 12 230 PFC 105 200 PFC 84.5 180 PFC 150 PFC 56.6 23.8 125 PFC 100 PFC 13.6 8.42 75 PFC 'y 35.9 33.7 14.9 10.5 7.75 4.56 1.64 0.419 0.103 S Designation 380 PFC 300 PFC 250 PFC 230 PFC 200 PFC 180 PFC 150 PFC 125 PFC 100 PFC 75 PFC X₂ M Load A x D SHEAR CENTRE Load B Ⓡ x

Part B - There are 3 questions in this part Refer to your email from Tim which defined values of the different variables. In particular refer to the OneSteel Section Type B given in the email. The cross section is changed so that the flange thickness is now doubled, but otherwise the total depth, width and web thickness stay the same, as per the diagram below. tf 24¢ given sech ↑ new section (not to scale) 1 14 M 2tp

Question / 2 pts Question B1 What is the horizontal location of the centroid (in mm) of the new section - as measured from the left edge of the web? Ignore the effect of the corner radii between the flange and web (ie assume all intersections are perfect right angles). Question 8 2 pts Question B2 What is the second moment of area of the new section about the horizontal centroidal axis (in mm4) ? Ignore the effect of the corner radii between the flange and web (ie assume all intersections are perfect right angles). You will not be able to enter your answer using exponential powers of 10 - eg if the answer is 3.456 x 106 you would need to enter 3456000.