Concept explainers
The equation of the deflection curve for a cantilever beam is
- Describe the loading acting on the beam.
(a)
Load acting on the beam.
Answer to Problem 9.2.1P
No load acting on the beam. Only moment
Explanation of Solution
Given:
Equation of the deflection curve:
The equation of the deflection curve for a cantilever beam,
Here,
Slope represents the first derivative of the deflection.
Therefore, differentiating the above w.r.t
Now, write the basic differential equation of deflection curve.
Here,
And
Differentiate the obtained slope equation w.r.t
Therefore, the beam is subjected to positive bending moment
Now, shear force to be calculated:
No shear force is acting on the beam.
Now, calculate load:
No load acting on the beam.
Therefore, only moment
(b)
Draw the moment diagram for the beam.
Answer to Problem 9.2.1P
Bending moment diagram:
Explanation of Solution
Given:
Equation of the deflection curve:
Bending moment diagram subjected to positive bending moment
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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