Lecture+06+and+07

Lecture+06+and+07 - 440:221 Intro to Engineering Mechanics:...

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440:221 Intro to Engineering Mechanics: Statics Instructor: Alberto Cuitino TA: Pam Carabetta and Jingru Zhang Lecture 6 and 7 Fall 2009 1 Based on Textbook Material: Engineering Mechanics Statics, 12 th Edition, R.C. Hibbeler, Pearson 2010.
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440:221 Lectures opics to be covered Topics to be covered • What is a moment of a force? • How do we compute a moment? • Cross product, what it is, what is good for? School of Engineering, Fall 2009 2
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440:221 Lectures oment of a force Moment of a force School of Engineering, Fall 2009 3
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440:221 Lectures oment of a force Moment of a force School of Engineering, Fall 2009 4
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440:221 Lectures oments action Moments in action School of Engineering, Fall 2009 5 http://www.youtube.com/watch?v=3mclp9QmCGs
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440:221 Lectures oments action Moments in action School of Engineering, Fall 2009 6 http://en.wikipedia.org/wiki/Tacoma_Narrows_Bridge_%281940%29
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440:221 Lectures oment of a force calar formulation Moment of a force - scalar formulation The moment of a force about a point provides a measure of the tendency for rotation (sometimes called a torque). School of Engineering, Fall 2009
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440:221 Lectures oments action Moments in action School of Engineering, Fall 2009 8 http://www.youtube.com/watch?v=wGKYYcDNIsM
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440:221 Lectures oment of a force calar formulation In the 2-D case, the magnitude of the moment is M o = F d Moment of a force - scalar formulation As shown, d is the perpendicular distance from point O to the line of action of the force. In 2-D, the direction of M is either clockwise or School of Engineering, Fall 2009 O counter-clockwise, depending on the tendency for rotation.
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440:221 Lectures oment of a force calar formulation Moment of a force - scalar formulation For example, M O = F d and the direction is counter-clockwise. F a b Often it is easier to determine M O by using the components of F as shown. d O a b F F x F y Then M O = (F Y a) – (F X b). ote e different signs on the terms! he typical sign convention for a moment O School of Engineering, Fall 2009 Note the different signs on the terms! The typical sign convention for a moment
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Lecture+06+and+07 - 440:221 Intro to Engineering Mechanics:...

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