264 7 The Force Method
A B
q
EI h
CD
EI
Fig. P7.14
Ans.X 1 D
3
16
qh; MCD
5
16
qh^2 ;MDD
3
16
qh^2 ;D
qh^4
16 EI
.
7.15.The portal frame is subjected to horizontal forceP. The stiffness of verti-
cal members isEI, and horizontal member isnEI,wherenis any positive number
(Fig.P7.15). Calculate horizontal reactionHat supportB. Construct the internal
force diagrams. Analyze the influence parameternon distribution of internal forces.
nEI
EI
P
h
a
A B
Fig. P7.15
Ans.HDp=2.
7.16.Construct the bending moment diagram for beam (EIDconst) with clamped
ends, subjected to uniformly distributed loadq(Fig.P7.16). Calculate maximum
deflection.
q
l
A B
Fig. P7.16
Ans.MAD
ql^2
12
;y
l
2
D
ql^4
384 EI
.
7.17.The beam with clamped supports is subjected to forceP as shown in
Fig.P7.17. Construct the bending moment diagram. Calculate the deflection at
pointC. The bending stiffness isEI.