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, . E Method of Superposition The problems for Section 10.4 are 20 be solved by the method of
superposition. All beams have constant ﬂexural rigidity El unless
otherwise stated. When drawing shearforce and bending—moment
diagrams, be sure to label all critical ordinates, including maximum
and minimum values. Problem 10.4.1 A propped cantilever beam AB of length L carries a concentrated load P acting at the position shown in the ﬁgure.
Determine the reactions R A, R B, and M A for this beam. Also, draw the shearforce and bendingmoment diagrams, labeling all critical ordinates. 642 CHAPTER 10 Smtically Indeterminate Beams Method of Superposition The problems for Section 10.4 are to be solved by the method of
superposition. All beams have constantﬂexural rigidity E1 unless
otherwise stated. When drawing shearforce and bendingmoment
diagrams, be sure to label all critical ordinates, including maximum
and minimum values. Problem 10.44 A propped cantilever beam AB of length L carries A a a concentrated load P acting at the position shown in the ﬁgure.
Determine the reactions R A, R B, and M A for this beam. Also, draw the
shearforce and bendingmoment diagrams, labeling all critical ordinates. Solution 10.44 Propped cantilever beam Select R 3 as redundant. COMPATIBILITY
53 z (63): " (53)2 = 0
EQUILIBRIUM 5 Pa; (3L ) B 3 0
z —— « Q ~— =
RA=P~RB MA=Pa—RBL 1’ 6E1 351
Pa2
R 2 —— 3L — +
RELEASED STRUCTURE AND FORCE~DISPLACEMENT 5 2L3 ( a)
RELATIONS
P OTHER REACTIONS (FROM EQUILIBRIUM)
Pb P b
:A a i b B i Paz RA=~—3(3L2—b2) MA=—12—(L+b) 4——
\ ”(3191 =33 (3L ~ a) 2L 2"
T
J. SHEAR~F0RCE AND BENDmGMOMENT DIAGRAMS
RBL3
(ﬁsh 3‘33}
L 3T T
RB M1: Rgb ...
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 Winter '06
 Lynch

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