1. Zagazig University – Faculty of Engineering Structural Analysis II
Exercise No. 3 (Deflections)
Dept. of Structural Engineering
Conjugate Beam Method
For the shown beams, determine the Slope angle and deflection values points as mentioned using the Conjugate
Beam Method
3.1.
Vertical deflection at d , e , f
3t 2 t/m
d A B
Rotation at A , B , fr and
e f C
relative rotation at e .
Draw elastic curve. 2.00 4.00 3.00 3.00 6.00
3.2.
Vertical deflection at c, d . 10t 10t
A d B
Rotation at c , d . c e
Draw elastic curve 2I
2.00 2.00 2.00 2.00 2.00
3.3.
Vertical deflection at f, d, e
Rotation at A and relative rotation at d
Draw elastic curve
6t 3 t/m 3t/m
A B d e C
f
2.00 8.00 2.00 4.00 2.00
3.4.
Vertical deflection at f, h, i, j
Rotation at A , C and relative rotation at i
Draw elastic curve .
12t.m 12t.m
1.5 t/m 1.5 t/m
A B C D j
e f g h i
30
.0 8.00 2.00 60
.0 2.00 8.00 3.00
3.5. 8t
Vertical deflection at c , d , e
16t.m
2.00
Rotation at B, d, E and relative
2 t/m
rotation at C A
Draw elastic curve . C d B e
3.00 3.00 3.00 2.00
3.6.
Vertical deflection at f , e , m .
Rotation at B , D , m and relative rotation at e .
Draw elastic curve.
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