تم الحل ✓
categoryهندسة مدنية
schoolبكالوريوس
event_available2026-07-14
السؤال
Transcribed Image Text:
Beam Matrix Analysis - Stiffness Method
Problem 1 [20 pts] - For the beam shown below, compute the beam rotation (clockwise
as positive) and deflection (upward as positive) at joint B (i.e., D1 and D2, respectively)
using the stiffness matrix analysis technique Also, determine the fixed end moment
reactions at support A and C (ARI and AR2, respectively). Assume EI2 =2EI₁ = 2EI.
(Hint: set-up and solve the below two matrix equations - see the lecture handout).
{AD }2x1 = {ADL }2x1 +[S] 2x2 {D} 2x1
{AR }2x1 = {ARL }2x1 + [ARD] 2x2 {D} 2x1
(A)
P
(B
EI,
* 1/2 + 1/2 *
Notations used:
EI₂
L
AR 2
A
Di
↑
D2
2
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