For the cantilever beam with L= 14 m and w= 20 kN/m, w M = WL2 24 A B С -L/2 L/2- a) Determine the slope at C of the beam. Use / = 7.500x109 mm and E=200GPa. (Hint: Use the Beam Deflections and Slopes Table on page A29, Beer et al., Textbook or the Table shown below) Oc = radian
b) Determine the deflection at point C MW mm (insert "-" sign if the deflection is downward)
Appendix D Beam Deflections and Slopes Maximum Elastic Curve Deflection Slope at End Beam and Loading Equation of Elastic Curve 1 y PL ЗЕІ PL 2E1 y = 6EI - 3LxP) -L w y max wL 8EI wL 6EI y = (x* - 4Lx3 + 6L²x) 24EI 3 L ML2 M ML EI у 2EI 2EI 口 4 PL 48EI PL + For x L: Р ya (4x3 - 3Lºx) 48EI LUX 16EI
3 P y L - For a > b: Pb(L? – b2)3/2 9V3EIL For x < a: Pb y = [x - (L - b)x] 6EIL Pb(L? - b) 6EIL b 0 =- DA В x B A L- b - at xm = Pa(L - a) OB = + GEIL For x = a: y = Pa'ba ЗЕIL 3 6 10 y L 2 o w 5wL" 384 EI It y = 24EI (x - 2Lx? + Lºx) 24EI L ML? 9V3EI IB x Вх ML A = + 6EI y- M 6EIL - Lºx) A B А mu V3 өв - ML ЗЕІ
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