Advanced Methods of Structural Analysis

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.