Advanced Methods of Structural Analysis

Problems 511

Ans. 0 D

ql^3

24 EI



12

^3



2 tan



2





;y



l

2



D

5ql^4

384 EI



384

5^4



sec



2

 1 

^2

8



I

M



l

2



D

ql^2

8



8

^2



sec



2

 1



13.18.The uniform beamABis subjected to axial compressive forcePand exter-
nal momentM 0 at the supportA(Fig. P13.18). Calculate the slope at the support
Aand reactions of supportsAandB. Estimate effect of axial load for different
parametersk,

PDkPcr;PcrD

2 EI

.0:7l /^2

:

P A B

M 0

l

Fig. P13.18

Ans.Q 0 D

M 0

l



.cos1/

sincos

,MBDM 0

sin

sincos

:

13.19.The uniform beamAB is subjected to axial compressive forceP and
transversal forceFat the middle point of the beam. Calculate slope at he sup-
portA, and linear displacement and bending moment at the point of forceF.

A B

l/ 2

P

l/ 2

F

Fig. P13.19

Ans. 0 D

Fl^2

16 EI



8

^2



sec



2

 1



;y



l

2



D

Fl^3

48 EI



24

^3



tan



2





2



I

M



l

2



D

Fl

4



2



tan



2

;Dl

r

P

EI