Question

Group# Names of attended members: Member 3 Member 2 Member 1- Problem 3 (25 points) Calculate the deflection and rotation at the free end (point C) for the beam below using superposition method.The beam is made out of Aluminum with modulus of elasticity of E-200 GPa. 5 kN/m 25 kN.m M I A В W 250x167 бm 4m Flange Web Thick Axis X-X Axis VY Thick Area Depth Width ness ness Designation 10 mm 10 mm mm A mm d, mm by mm 10 mm 10 tt mm mm mm mm W250 x 167 21200 290 264 31.8 2060 19.2 298 118 98.2 742 68.1

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Answer 1

5kN/m 25 Km ym 6m E= 200 Gpa Rotation at ci 6EL oc was - ML GEI EI where, ac ym, w = 5 kilm ( M= 25 knm, I = I x = 298 X10°mmy E = 200 Gpa, 'Inë 298x16m4 E = 200x 106 kN/m², L= lom O = 5xys - 25x10 6x 200 x 106x 298x106. 200 X/06 x 298x106 Or -0.0033 m (8) - 3.3x1ő? Madians

. Deflection at i ог | чач + wa" et- 4)]+ ми SEI СЕД EL .: - (5хч" — | €х 200 хio* x 296xio“ + 4х4 (іо-Ч) . x 200 ховх 29xx66 ) + 25х о? 2x 200 xtos x 256 хіб S, 2 - 6 + 25 |152 Se: О. 01 242 м