COURSE: COURSE: CE 201 (STATICS) CE 201 (STATICS) LECTURE NO.: LECTURE NO.: 42 & 43 42 & 43 FACULTY: FACULTY: DR. SHAMSHAD AHMAD DR. SHAMSHAD AHMAD DEPARTMENT: DEPARTMENT: CIVIL ENGINEERING CIVIL ENGINEERING UNIVERSITY: UNIVERSITY: KING FAHD UNIVERSITY OF PETROLEUM KING FAHD UNIVERSITY OF PETROLEUM & MINERALS, DHAHRAN, SAUDI ARABIA & MINERALS, DHAHRAN, SAUDI ARABIA TEXT BOOK: TEXT BOOK: ENGINEERING MECHANICS ENGINEERING MECHANICS - - STATICS STATICS by R.C. HIBBELER, PRENTICE HALL by R.C. HIBBELER, PRENTICE HALL
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
COURSE:COURSE: CE 201 (STATICS)CE 201 (STATICS)
LECTURE NO.:LECTURE NO.: 42 & 4342 & 43
FACULTY:FACULTY: DR. SHAMSHAD AHMADDR. SHAMSHAD AHMAD
UNIVERSITY:UNIVERSITY: KING FAHD UNIVERSITY OF PETROLEUM KING FAHD UNIVERSITY OF PETROLEUM & MINERALS, DHAHRAN, SAUDI ARABIA& MINERALS, DHAHRAN, SAUDI ARABIA
TEXT BOOK:TEXT BOOK: ENGINEERING MECHANICSENGINEERING MECHANICS--STATICS STATICS by R.C. HIBBELER, PRENTICE HALLby R.C. HIBBELER, PRENTICE HALL
LECTURE NO. 42 & 43LECTURE NO. 42 & 43CENTROID OF COMPOSITE BODIESCENTROID OF COMPOSITE BODIES
Objectives:Objectives:►► To show how to determine centroid and center of To show how to determine centroid and center of
mass of the composite bodiesmass of the composite bodies
CENTROID AND CENTER OF MASS OF CENTROID AND CENTER OF MASS OF THE COMPOSITE BODIESTHE COMPOSITE BODIES
Procedure for locating center of gravity of a body or the centroidof a composite geometrical object
What is composite body?
A composite body consists of a series of connected simpler-shaped bodies, which may be rectangular, triangular, semicircular, etc.
• Using a sketch, divide the body or object into a finite number ofcomposite parts that have simpler shapes.
• If a composite part has a hole, or a geometric region having nomaterial, then consider the composite part without the hole and consider the hole as an additional composite part having negative.
• Establish the coordinate axes on the sketch and determine thecoordinates , ,x y z of the center of gravity or centroid of each part.
• Determine , ,x y z by applying the center of gravity equations
• If an object is symmetrical about an axis, the centroid of the objectlies on this axis.
CENTROID AND CENTER OF MASS OF CENTROID AND CENTER OF MASS OF THE COMPOSITE BODIESTHE COMPOSITE BODIES
Example of Composite Line Centroid
The given composite line can be divided intofollowing three parts having simpler shapes:
The coordinates , ,x y z of each part and the products of coordinates and length of each part are presented in the following table:
( )x mm ( )z mm 2(mm )xL( )y mm 2( )yL mm 2( )zL mmSegment L (mm)