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-10 Derive the equations of the deflection curve for beam AB with sliding support at A and roller support at B, supporting a distributed load of maximum intensity q0acting on the right-hand half of the beam (see figure). Also, determine deflection
To derive: the equations of deflection curve for beam. Also, find deflection
Answer to Problem 9.4.10P
Equations of deflection curve:
With guiding support at A,
With roller support at B,
Deflection
Angle of rotation:
Deflection
Explanation of Solution
Given:
Load equation:
Upon integration
Upon integration
Boundary condition 1:
Therefore,
Boundary condition 2:
Therefore,
Upon integration
Boundary condition 3:
Therefore,
Load equation:
Upon integration
Upon integration
Boundary condition 4:
Therefore,
Boundary condition 5:
Therefore,
Upon integration
Boundary condition 6
Therefore,
Upon integration
Boundary condition 7:
Therefore,
B.C 8:
Thus, we have,
At
And
At
And
At
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Chapter 9 Solutions
Mechanics of Materials (MindTap Course List)
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- Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning