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Unformatted text preview: 10Ch10.qxd 9/27/08 822 7:36 AM Page 822 CHAPTER 10 Statically Indeterminate Beams Solution 10.4-13 Beam supported by a beam
Let RB interaction force between beams Select RB as the redundant. (dB) 2 (dB)1 COMPATIBILITY (dB)3 40P
17 Substitute and solve: RB ; RELEASED STRUCTURE AND FORCE-DISPL. EQS.
SYMMETRY AND EQUILIBRIUM
RD RE RA P RB
17 RE ; (minus means downward)
RB a b
2 BEAM ABC: M max PL
2 MB ;
2 MB BEAM DE: M max
M max 3PL
17 PL 5PL
17 ; Problem 10.4-14 A three-span continuous beam ABCD with three
equal spans supports a uniform load of intensity q (see figure).
Determine all reactions of this beam and drawn the shear-force
and bending-moment diagrams, labeling all critical ordinates. q
A RA Solution 10.4-14 Three-span continuous beam
SELECT RB AND RC AS THE REDUNDANTS.
SYMMENTRY AND EQUILIBRIUM
RC RB RA RD 3qL
2 RB RELEASED STRUCTURE B L RB D C L L
RC RD ...
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- Fall '11