Consider the beam shown below with a distributed load applied between B and C. The Young's modulus, E, and moment of inertia, I, are constant over the beam. 1) Using the Direct Integration Method, derive the equations for the slope and deflection for the whole beam. As shown in the figure, use xi for Span AB and x2 for Span BC as the coordinates when deriving the equations. Clearly state what boundary conditions are used in the process. 2) Compute the deflection and slope of the beam at location C. A X1 15 ft B x2 6 ft 2 k/ft C

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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ChapterB: Graphical Analysis Of Planar Trusses
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Consider the beam shown below with a distributed load applied between B and C. The Young's
modulus, E, and moment of inertia, I, are constant over the beam.
1) Using the Direct Integration Method, derive the equations for the slope and deflection for the
whole beam. As shown in the figure, use xi for Span AB and x2 for Span BC as the coordinates
when deriving the equations. Clearly state what boundary conditions are used in the process.
2) Compute the deflection and slope of the beam at location C.
A
X1
15 ft
B
x2
6 ft
2 k/ft
C
Transcribed Image Text:Consider the beam shown below with a distributed load applied between B and C. The Young's modulus, E, and moment of inertia, I, are constant over the beam. 1) Using the Direct Integration Method, derive the equations for the slope and deflection for the whole beam. As shown in the figure, use xi for Span AB and x2 for Span BC as the coordinates when deriving the equations. Clearly state what boundary conditions are used in the process. 2) Compute the deflection and slope of the beam at location C. A X1 15 ft B x2 6 ft 2 k/ft C
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