1. Mindanao State University
Iligan Institute of Technology
College of Engineering
Distributed aLoads on Beams
Force
Gevelyn Bontilao Itao, MOE

2. Distributed Loads
Distributed loads:
- consists of the weight of materials supported directly or
indirectly by the beam, or it may caused by wind or
hydrostatic pressure.
gsbitao_2013

3. Distributed Loads
It can be represented by plotting load w supported per
unit length L. It is expressed as N/m or lb/ft.
gsbitao_2013

4. Distributed Loads
- The direction of the intensity of the load is indicated by
arrows shown on the load intensity diagram.
- This system of forces can be simplified to a single force
W and its location x can be specified.
gsbitao_2013

5. Distributed Loads
Hence, the magnitude of W is equal to the total area A
under the curve.
gsbitao_2013

6. Distributed Loads
Example 1:
Determine the magnitude and location of the equivalent
resultant force acting on the shaft.
gsbitao_2013

7. Distributed Loads
Example 2:
A beam supports a distributed load as shown. Determine
the equivalent concentrated load and its location, and the
reactions at the supports.
gsbitao_2013

8. Mindanao State University
Iligan Institute of Technology
College of Engineering
Centroid fora Force
Composite Bodies
Gevelyn Bontilao Itao, MOE

9. Centroid for Composite Bodies
Center of Gravity:
- a point which locate the coordinate of the center
of gravity of a system of particle..
gsbitao_2013

10. Centroid
Centroid:
- a point which defines the geometric center of the object.
It is independent of the body’s weight and dependent on
the bodies geometry
gsbitao_2013

11. Centroid
Centroid:
- a point which defines the geometric center of the object.
It is independent of the body’s weight and dependent on
the bodies geometry
gsbitao_2013

12. Centroid
Centroid:
- a point which defines the geometric center of the object.
It is independent of the body’s weight and dependent on
the bodies geometry
gsbitao_2013

13. Centroid for Composite Bodies
gsbitao_2013

14. Centroid for Composite Bodies
Example 1:
Locate the centroid of the wire shown.
gsbitao_2013

15. Centroid for Composite Bodies
Example 2:
Locate the centroid of the area shown.
gsbitao_2013

16. Centroid for Composite Bodies
Example 3:
Locate the centroid of the shaded area shown.
gsbitao_2013

17. Centroid for Composite Bodies
Example 4:
Locate the centroid of the figure shown.
gsbitao_2013