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Question

Figure 5 shows a beam AC of length 2L and fl exural rigidity EI that is built in at A and simply

supported at C. The beam is subjected to a concentrated force F at the mid-point B.


Use discontinuity functions to find:

(i) The deflection (displacement) of the beam as a function of x;

(ii) The location and magnitude of the maximum bending moment;

(iii) The reaction at C.


Screen Shot 2019-12-11 at 2.01.41 PM.png

Screen Shot 2019-12-11 at 2.01.41 PM.png

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New Doc 2019-12-12 08.21.23_1.jpg

A
vo
AC
For Reaction at C
( RC ) ( 24 )
F13
3 EI
3 FI T
FL2
B RC
w Ja
( 3 + 2 ) F
5 F
16
BMD ..
5FL
16
A
13
- 3 FL
16
Max, Bending Moment at B point
MR S
5 FL
16

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