Lecture# 12: Rigid Bodies

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STATICS OF RIGID BODIES

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Lecture# 12: Rigid Bodies Rigid Body: For system where forces are not concurrent Coplanar Force System, Parallel Force System Non-concurrent etc. F1 F3 F2 11/19/2018

Equilibrium: Section 4.1 Necessary Conditions are: Important the Point where forced is apply may rotate the body. P P 11/19/2018

Moments: Tendency of Force to rotate the body. Moment is a Vector: Magnitude + direction d moment arm, o moment center, F d F d o o d F direction 11/19/2018

Can all Forces Produce Moment? Which of Forces produce moment about point o. y F3 F2 x o F1 d1 d2 11/19/2018

Activity #1: Find the moment of F1 about point A. Also, indicate direction of moment. y F1=8KN A x 3m 11/19/2018

Activity #2: Find the moment of F1 & F2 about point A. Also, indicate direction of moment. y F1=8KN F2=3KN 60o A x 3m 6m 11/19/2018

Summary: Moment is a vector: mag. + dir. Forces that passes through point of interest Mo=0. Also, Forces Parallel to point o Mo=0. Direction indicated by: clocwise (-), counter clockwise (+) 11/19/2018

Section 4.2: Varignon’s Theorem The moment, M, of the Resultant force, R, is equal to the sum of the moments created by each single force. NOTE: ALL moments are taken at same point. Mo = RdR = F1d1 + F2d2 + F3d3 +….+Fndn Sign Convention for Moments: (+) counter clockwise (-) clockwise 11/19/2018

Example #2: Find the moment of F1 about point A. Also, indicate direction of moment. y F2=3KN 2m 60o A x 6m 11/19/2018

Activity #3: Determine the moment of 250N force about point A. y 250mm 210mm 32o x 11/19/2018

Example #3: (a) Find the moments of FA and Fc about point o. (b) Find moment of Force FB about point D. 11/19/2018

Activity #4: (a) Find the moments of FA and Fc about point C. (b) Find moment of Force FB about point o. 11/19/2018