CE-222 STRUCTURAL MECHANICS I DEPARTMENT OF CIVIL ...naresh/teaching/ce222/ce222_tute6sol.pdfCE-222...
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CE-222 STRUCTURAL MECHANICS I DEPARTMENT OF CIVIL ENGINEERING Tutorial Assignment # 6: Deflection of Beams and Frames Problem 1 Calculate vertical displacement of point C for the following systems. Take EI constant and neglect axial deformations. 30 kN 8 kN/m B A C 12 m 4 m 8 m 4 m A 8 kN/m 4 m 30 kN C B 2 m HINGE 10 kN/m A 20 kN 3 m 1 m 4 m B C
Transcript of CE-222 STRUCTURAL MECHANICS I DEPARTMENT OF CIVIL ...naresh/teaching/ce222/ce222_tute6sol.pdfCE-222...
CE-222 STRUCTURAL MECHANICS I DEPARTMENT OF CIVIL ENGINEERING
Tutorial Assignment # 6: Deflection of Beams and Frames
Problem 1 Calculate vertical displacement of point C for the following systems. Take EI constant and neglect axial deformations.
30 kN
8 kN/m
B
A C
12 m 4 m
8 m 4 m
A
8 kN/m
4 m
30 kN
C
B
2 m
HINGE
10 kN/m
A
20 kN
3 m
1 m 4 m
B C
Problem 2 For the frame systems shown below, calculate the horizontal displacement, vertical displacement and rotation for all joints by considering both flexural and axial deformations. Draw the qualitative deflected shape of the frames clearly showing the directions of displacements and rotations considering only flexural deformations.
4 m
4 m
120 kN
60 kN
A
C B
3 m
60 kN
D 2 m
E
4 m
60 kN
120 kN
A
C
B
4 m
8 m
2 m 60 kN
F D
3 m
6 m
EI CONSTANT AE CONSTANT
