Determine the slopes and deflections at points B and C of the cantilever beam shown in Fig. 6.14(a) by the conjugate beam method 20 kC+10 ft-1= 3,000 in.4'B15 ftI= 6,000 in.4E= 29,000 ksi(a) Real Beam100EI200250EIEIk-ftM(b)ElDiagram (with /= 3,000 in.4)-15 ft-+10 ftAC100 -El200250ElEl(c) Conjugate BeamFIG. 6.14

Conjugate Method: Conjugate method is used to determine the slope and deflections of the beam. This…

20 k C +10 ft- 1= 3,000 in.4 'B 15 ft I= 6,000 in.4 E= 29,000 ksi (a) Real Beam 100 EI 200 250 EI EI k-ft M (b) El Diagram ( with /= 3,000 in.4) -15 ft- +10 ft A C 100 - El 200 250 El El (c) Conjugate Beam FIG. 6.14

20 k C +10 ft- 1= 3,000 in.4 'B 15 ft I= 6,000 in.4 E= 29,000 ksi (a) Real Beam 100 EI 200 250 EI EI k-ft M (b) El Diagram ( with /= 3,000 in.4) -15 ft- +10 ft A C 100 - El 200 250 El El (c) Conjugate Beam FIG. 6.14

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

Determine the slopes and deflections at points B and C of the cantilever beam shown in Fig. 6.14(a) by the conjugate beam method

20 k
C
+10 ft-
1= 3,000 in.4
'B
15 ft
I= 6,000 in.4
E= 29,000 ksi
(a) Real Beam
100
EI
200
250
EI
EI
k-ft
M
(b)
El
Diagram (
with /= 3,000 in.4)
-15 ft-
+10 ft
A
C
100 -
El
200
250
El
El
(c) Conjugate Beam
FIG. 6.14

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