STRUCTURAL ANALYSIS II Excercise 3 (Week 3) Conjugate Beam Method (Deflection)

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.
Page : 1 / 1