تم الحل ✓
categoryهندسة مدنية
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
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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