Civil Engineering Reference
In-Depth Information
w
C
A
B
EI
a
L
F
IGURE
P.15.7
P.15.8
Use the unit load method to calculate the deflection at the free end of the
cantilever beam ABC shown in Fig. P.15.8.
Ans.
3
WL
3
/
8
EI
. (downwards)
W
A
B
C
EI
/2
EI
L
/2
L
/2
F
IGURE
P.15.8
P.15.9
Use the unit load method to find the magnitude and direction of the deflection
of the joint C in the truss shown in Fig. P.15.9. All members have a cross-sectional area
of 500mm
2
and a Young's modulus of 200 000 N/mm
2
.
Ans.
23.4mm, 9.8
◦
to left of vertical.
A
B
1m
C
E
D
200 kN
1m
1m
F
IGURE
P.15.9
P.15.10
Calculate the magnitude and direction of the deflection of the joint A in
the truss shown in Fig. P.15.10. The cross-sectional area of the compression mem-
bers is 1000mm
2
while that of the tension members is 750mm
2
. Young's modulus is
200 000N
/
mm
2
.
Ans.
30
.
3mm, 10
.
5
◦
to right of vertical.
