6.4-11 A cantilever beam of IPN 300 section and length L = 3 m supports a slightly inclined load P = 2.5 kN at the free

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6 4 11 A Cantilever Beam Of Ipn 300 Section And Length L 3 M Supports A Slightly Inclined Load P 2 5 Kn At The Free 1 (375.26 KiB) Viewed 24 times

6 4 11 A Cantilever Beam Of Ipn 300 Section And Length L 3 M Supports A Slightly Inclined Load P 2 5 Kn At The Free 2 (274.62 KiB) Viewed 24 times

6.4-11 A cantilever beam of IPN 300 section and length L = 3 m supports a slightly inclined load P = 2.5 kN at the free end (see figure). (a) Plot a graph of the stress o at point A as a func- tion of the angle of inclination a. (b) Plot a graph of the angle B, which locates the neu- tral axis nn, as a function of the angle a. (When plotting the graphs, let a vary from 0 to 10°.) (Note: See Table E-2 of Appendix E for the dimensions and properties of the beam.) B

TABLE E-2 Properties of European Standard Beams Mass per meter Area of section Depth of section Width of section Designation Thickness Strong axis 1-1 Weak axis 2-2 G b 4 s, 2 S 12 kg/m cm mm mini mm mm cm cm3 cm cm cm Cm ZIZ IPN 550 IPN 500 166 141 179 550 500 200 185 19 18 30 27 99180 68740 3610 2750 3490 2480 349 268 4.02 3.72 19.6 450 170 IPN 450 IPN 400 115 92.4 147 118 16.2 14.4 24.3 21.6 45850 29210 2040 1460 17.7 15.7 1730 1160 203 149 155 3.43 3.13 400 IPN 380 IPN 360 IPN 340 IPN 320 IPN 300 84 76.1 68 61 54.2 107 97 86.7 77.7 69 380 360 340 320 300 149 143 137 131 125 13.7 13 12.2 11.5 10.8 20.5 19.5 18.3 17.3 16.2 24010 19610 15700 12510 9800 1260 1090 923 782 653 15 14.2 13.5 12.7 11.9 975 818 674 555 451 131 114 98.4 84.7 72.2 3.02 2.9 2.8 2.67 2.56 IPN 280 IPN 260 IPN 240 IPN 220 IPN 200 2.45 2.32 47.9 41.9 36.2 31.1 26.2 61 53.3 46.1 39.5 33.4 280 260 240 220 200 119 113 106 98 90 1 - 10.1 9.4 8.7 8.1 7.5 15.2 14.1 13.1 7590 5740 4250 6060 2140 542 442 354 278 214 10.4 9.59 8.8 8 ** Oo oo oo 364 288 221 162 117 61.2 51 41.7 33.1 26 2.2 2.02 1.87 11.3 IR 1