method of sections - TAM 210/211 Engineering Mechanics...

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1 Lecture 17 Structures: Method of Sections Stephen D. Downing Mechanical Science and Engineering © 2001 - 2008 University of Illinois Board of Trustees, All Rights Reserved TAM 210/211 Engineering Mechanics: Statics TAM 210/211 - Lecture 17 © 2008 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 1 of 14 Structures: Trusses and Frames 1. A TRUSS or FRAME is an idealized structure mage of straight and slender members in which the internal forces result in either tension or compression forces parallel to the members axis. 2. All members are connected by pin connections in 2D or by ball-and-socket connections in 3D 3. All loads are applied at the pins/joints 4. Plane truss: all members are in a single plane 5. Space Truss: three dimensional frame – space frame 6. A truss is made up of 2 force members. Members are in tension or compression 7. The truss must be statically determinate
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2 TAM 210/211 - Lecture 17 © 2008 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 2 of 14 Zero Force Members D C B A u v Only member BD can carry force in the v-direction. There is no applied force in the v-direction. Thus BD is a zero force member Now there is a component of force in the v-direction. Now DB is NOT a zero force member. TAM 210/211 - Lecture 17
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method of sections - TAM 210/211 Engineering Mechanics...

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