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a ForceDistributed Loads on Beams
Gevelyn Bontilao Itao, MOE
Mindanao State University Iligan Institute of Technology
College of Engineering
gsbitao_2013
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
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
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
Distributed Loads
Hence, the magnitude of W is equal to the total area A under the curve.
gsbitao_2013
Distributed Loads
Example 1:Determine the magnitude and location of the equivalent resultant force acting on the shaft.
gsbitao_2013
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.
a ForceCentroid for Composite Bodies
Gevelyn Bontilao Itao, MOE
Mindanao State University Iligan Institute of Technology
College of Engineering
gsbitao_2013
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
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
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
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
Centroid for Composite Bodies
gsbitao_2013
Centroid for Composite Bodies
Example 1:Locate the centroid of the wire shown.
gsbitao_2013
Centroid for Composite Bodies
Example 2:Locate the centroid of the area shown.
gsbitao_2013
Centroid for Composite Bodies
Example 3:Locate the centroid of the shaded area shown.
gsbitao_2013
Centroid for Composite Bodies
Example 4:Locate the centroid of the figure shown.