a ForceDistributed Loads on Beams

Gevelyn Bontilao Itao, MOE

Mindanao State University Iligan Institute of Technology

College of Engineering

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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.

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Distributed Loads

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

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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.

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Distributed Loads

Hence, the magnitude of W is equal to the total area A under the curve.

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Distributed Loads

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

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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..

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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

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Centroid for Composite Bodies

Example 1:Locate the centroid of the wire shown.

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Centroid for Composite Bodies

Example 2:Locate the centroid of the area shown.

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Centroid for Composite Bodies

Example 3:Locate the centroid of the shaded area shown.

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Centroid for Composite Bodies

Example 4:Locate the centroid of the figure shown.