Determine the moment at the fixed support A for the frame shown in Fie. 10-14a. The support at B is a rocker. El is constant. 100 lb/ft 4 ft 5 ft 8 ft A 3 ft- (a) Fig. 10-14

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Delermine the moment at the fixed support A for the frame shown i
Fig. 10-14a. The support at B is a rocker. El is constant.
10.6
100 lb/ft
4 ft
5 ft
8 ft
(a)
Fig. 10-14
SOLUTION
Principle of Superposition. The frame is indeterminate to the first
degree. A direct solution for M can be obtained by choosing this as
the redundant. Thus the capacity of the frame to support a moment at
A is removed and therefore a pin is used at A for support. The principle
of superposition applied to the frame is shown in Fig. 10-14b.
Compatibility Equation. Reference to point A in Fig. 10-14b requires
((+)
(1)
As in the preceding example, 0A and aAA will be computed using the
method of virtual work. The frame's x coordinates and internal
moments are shown in Figs. 10-14c and 10-14d.
100 lb/ft
100 lb/ft
%3D
+
MACAA
MA
actual frame
redundant MA
applied
primary structure
(b)
Transcribed Image Text:Delermine the moment at the fixed support A for the frame shown i Fig. 10-14a. The support at B is a rocker. El is constant. 10.6 100 lb/ft 4 ft 5 ft 8 ft (a) Fig. 10-14 SOLUTION Principle of Superposition. The frame is indeterminate to the first degree. A direct solution for M can be obtained by choosing this as the redundant. Thus the capacity of the frame to support a moment at A is removed and therefore a pin is used at A for support. The principle of superposition applied to the frame is shown in Fig. 10-14b. Compatibility Equation. Reference to point A in Fig. 10-14b requires ((+) (1) As in the preceding example, 0A and aAA will be computed using the method of virtual work. The frame's x coordinates and internal moments are shown in Figs. 10-14c and 10-14d. 100 lb/ft 100 lb/ft %3D + MACAA MA actual frame redundant MA applied primary structure (b)
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