Example 6.3. A uniform beam with clamped left support and elastic support at the right end is subjected to a concentrated force P at point C, as shown in Fig. 6.5; stiffness parameter of the elastic support is k. Derive the equation of elastic curve. Compute the reaction of a clamped support and consider the special cases k = 0 and k = 0.

Structural Analysis
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Chapter2: Loads On Structures
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Example 6.3. A uniform beam with clamped left support and elastic support at the
right end is subjected to a concentrated force P at point C, as shown in Fig. 6.5%3;
stiffness parameter of the elastic support is k. Derive the equation of elastic curve.
Compute the reaction of a clamped support and consider the special cases k = 0
and k = o.
Initial
parameters:
RA
P
RB
Yo=0, 0,=0
Fig. 6.5 Design diagram of
sk Parameters
at x=l:
one-span beam with elastic
support and its deflected
shape
0.51
MA
y#0, 0+0
y
Transcribed Image Text:Example 6.3. A uniform beam with clamped left support and elastic support at the right end is subjected to a concentrated force P at point C, as shown in Fig. 6.5%3; stiffness parameter of the elastic support is k. Derive the equation of elastic curve. Compute the reaction of a clamped support and consider the special cases k = 0 and k = o. Initial parameters: RA P RB Yo=0, 0,=0 Fig. 6.5 Design diagram of sk Parameters at x=l: one-span beam with elastic support and its deflected shape 0.51 MA y#0, 0+0 y
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