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categoryهندسة مدنية schoolبكالوريوس event_available2026-07-15

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Question 2 Use the slope deflection method to the bending moment diagram for the non-sway frame shown assuming a common modulus of elasticity, E, for all members and axially inextensible members. Specifically, A) Write down a system of 3 equilibrium equations in terms of the three problem unknowns, that is, nodal rotations ec, OD, and 0; B) Given the nodal rotations as Oc=-9.52/El, Op= 27.47/El, and 0= -40.20/El, find the end member moments for all members; C) Draw the bending moment diagram from the end member moments found in (B). 4m Selective answers: 30 kN 21 21 D 3m 8 4 + = 11.25/El 3 4 14 A) + + 95.42/El 3 20 kN 20 kN/m 21 E 21 8m I m 2m +20=-66.67/EI B) MAD=13.7 kNm; MB= -20.1 kNm; Moc= 71.8 kNm; MDE= -99.3 kNm; MED = 80.2 kNm

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