9.3-23 The beam shown in the figure has a sliding support at A and a roller support at B. The sliding support permits vertical movement but no rotation. Derive the equation of the deflection curve and determine the deflection 8 at end A and also c at point C due to the uniform load of intensity q = P/L applied over segment CB and load Pat x = L/3. Use the second-order differential equation of the deflec- tion curve. y A L 3 L/2 P C P 9= L L12 B X
9.3-23 The beam shown in the figure has a sliding support at A and a roller support at B. The sliding support permits vertical movement but no rotation. Derive the equation of the deflection curve and determine the deflection 8 at end A and also c at point C due to the uniform load of intensity q = P/L applied over segment CB and load Pat x = L/3. Use the second-order differential equation of the deflec- tion curve. y A L 3 L/2 P C P 9= L L12 B X
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:9.3-23 The beam shown in the figure has a sliding
support at A and a roller support at B. The sliding
support permits vertical movement but no rotation.
Derive the equation of the deflection curve and
determine the deflection 8 at end A and also c at
point C due to the uniform load of intensity q = P/L
L/3. Use
applied over segment CB and load Patx
the second-order differential equation of the deflec-
tion curve.
y
A
L
3
L/2
P
C
q=
P
L
L12
1
B
X
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Step 1: determine the equation of the deflection curve and determine the deflection at end A and also at C
VIEWStep 2: Applying boundary condition
VIEWStep 3: Solving using equation
VIEWStep 4: Applying boundary condition
VIEWStep 5: Solving equations
VIEWStep 6: Writting constant values
VIEWStep 7: Deflection equation
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