Question

Problems MUST have step by step solution to show how a r e obtained when * prismatic cantilever beam DGE with length distributed load y between GE and also a bending moment Mo at the D end as illustrated is fixed at E. It is subjected to a uniform below. Assume all resulting stresses are well within elastie limit while the deformation is very small, and gravity is also negligible, please calculate the followings (18 points. Hints you may use the attached Appendix): • Total y deflection at point G, which is L/3 from the fixed end E (8 points) • Total y deflection at the end D. (10 points) 43 E

Answer 1

in Reactons ab Ais REÎ and ME (2) ter Smero

ME - Mo - 4(1)(1) =0 ME = Mo + 9.12 By macaulay methods - Taking moment from and D.. 18 9. EIdy 072. EIŲ = - Home +42 +42 / - (2=34)* - End conditions © yzo al ral, D eins og heo at=(Fixed end) From equation 0 and end condition (ii) 0.- MOL+G - ļ (1-34) Mot + 2 (5)=.4. from equation @ and end condition o

244 1458 162 min 4919 - ů First part of the equation is valid for section DG deflection at BG| = 243 ETUDE - * (*)*+ front end - Mod 4,924 = -2MOL? +2M0L2 + o que eu punto - MOL? -2Mo LZ 2M12 4914 12 3 729 (4G) = L E & MOLE- I 9447 18 729

deflection at D, X=0 ETYD = – MC (0) + C1X0 +62 80 (1 Mo 2 e 2.14