Question

Determine the deflection at point C, and the equation(s) of the elastic curve (for the entire beam). Use E = 200GPa and I can be obtained from Appendix E. Required: use direct integration. Show all work, especially how constants of integration are determined. Note: the origin, x=0 should be at point A for all parts of your work. Show statics work to justify the M(x) functions that are the basis of your solution Mo = 38 kNm C DOTO W100 X 19.3 a = 0.8 m -L= 3.2 m ---

Answer 1

Mo= 38 kN-M Ay =Reachon feroce 2 - L=3.2m Home at A AFA By = Reachon fence Ay0.8> at B -> take moment at B=0 Ay x 3, 2= 38 Ay = 11.875 kw À Bending moment equation as a function of a Mix)= Рух Емо M() = 11.87 a 1-38 include of x70-8m from en del i Make El d2y = 11.875% (-38 on entegrating El dia de 11875 + G | - 38(08). daez - U I include f x>0*8m El y= 11.875 ** +(x+62 / -38 (2-0.872 on entegrating include it x80.8m at x50 y co EI (0)= 11.875 102° +6,40 +C => 2=0. at xe 3.2m y=0

EI (O)= (1,875 (3:2)? +61*3.2 - 38 (3,2 -0-8]* CF 200 209 75 hence equation of Elastic curve ya da [ 1.875 x2 + 200 x - 38 (2.7083€ ] include y >70.8m put x= 0.8m foo deflection at c yes és [ 11.875% 0,894 209 2018] Yc = 304 kN m3 for W100x 19.3 Ixx = 4-7x106mmt 25 EI KNm2 3048 109 KN mm3 25x200 km2*4.7x106mm4 mma , deflection at C L Y c = 12.9361 mm