In the structure shown, the support at A rotates 3x10-3 radians CCW, and the support at C has a settlement of 0.8 inches. Make the shear force and bending moment diagram using 1. Three-moment equation 2. Slope Deflection Method Make sure the diagrams for both methods are the same

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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In the structure shown, the support at A rotates 3x10-3 radians CCW, and the support at C has a settlement of 0.8 inches. Make the shear force and bending moment diagram using

1. Three-moment equation

2. Slope Deflection Method

Make sure the diagrams for both methods are the same.

 

E=29,000 kips per square inch
I=144 in
A
B
12 feet
15 feet
Transcribed Image Text:E=29,000 kips per square inch I=144 in A B 12 feet 15 feet
Expert Solution
Step 1

Given

E=29000 kips/in2I=144 in2QA=3×10-3radc=-0.8 in      AnticlockwiseMAB=0 QA=0  ,  B=+0.8 in     clockwise

Step 2

MAB=MAB+2EIL2QA+QB-3LMAB=0+2×29000×144120+QB-0.8×312MAB=696000QB-1392001MBA=MBA+2EIL2QB+QA-3LMBA=0+2×29000×144122QB+0-0.8×312MBA=1390000QB-1392002MBC=MBC+2EIL2QB+QA-3LMBC=0+2×29000×144152QB+Qc-0.8×315MBC=5568002QB-556800Qc+890883MCB=MCB+2EIL2Qc+QB-3LMCB=0+2×29000×144152QC+QB-0.8×315MCB=1113600QC+556800QB-890882

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