Question

Hi, I need the solution to problem 4 ASAP. Thanks

Problem 3 (25 points): Adopting the methods you have learned in moment distribu- tion method. . (a) Evaluate the distribution factors for each span considering appropriate stiffness values. (b) Determine the fixed-end moments for each span. (c) Adopting the table that you have seen in class, determine the support moments at A B. and C. (d) Employing equilibrium equations for spans AB and BC, determine the remaining sup- port reactions of the beam. (e) Using the support/moment reactions, sketch the shear force and bending moment diagrams for the beam. 128 kips 80 kips OB 3EI, 2 ft 3EI, 6 ft 2EI, 5 ft 2EI, 5 ft Problem 4 (25 points): A simply supported beam with an overhang to the left end is loaded as shown below. (a) Determine the vertical deflection at free end A. (b) Based on the result of your calculations, state if the vertical deflection is upward or downward. 54 kip/ft A OB с El. 4 ft EI, 10 ft CE332: Structural Analysis Summer 2020

Answer 1

question 4 is solved by standard results.

BMD and SFD are attached in the end.

A3 128 Kips Sokipa 3 P2 LEL ++ 6ft 5t 5ft. @ Distribution factors Member b.f. SK BA 0.71 stiffness (ki) 4 (BEL), 1:5 EL 8 3(261) = OGRL 2. ET BC 6.29 128x2x6² 82 MERA MEBL - (6 fixed end moments - MFAB Pab² 144 kip-ft 128x22x6 -48 kip-tt gl 80x588² 100 kip-ft sox axs² 2-100 kipift SC is pinned jomt . MACB 30 half moment to B'. therefor MFCB = 100 + 10o ao and MFBC s 100+ 5o = 150 Ф) Eco 4 2 d C a Table А My (077) B (0.29) -48 150 -7.42 - 29.58 FEM Bal co -36.21 107.79 - 120.42 120.42 final moment

80 167.79 120.42 16o42 7 Re: 80 120-42 8 GT so 120-42 far 128x® + (60779–10:42 10 = 52.04 kip = 27.96 kip RA = 94.62 kip RB = 128 x2 + (120.42-107.79) 2 33.58 kip RB = 33.56+ 52.04 = 85.62 kip ( 54 kip laft ര FR Y uft x loft sh we know that wi? OBE LUFI le suxlo3 8 = OB XL therefore OB- 24 EI SA= 54x103 x 4 QUEL (solved by standard result.) 9000 EL fre pupward

use values in BMD and SFD obtained in solution.

107.1 81.11 120. 139.57

94.34 33.66 94.34 33.66 52.09 27.91 52.09 27.91