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method of joints

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

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1 Lecture 16 Structures: Method of Joints 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 16 © 2008 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 1 of 14 Example 1 Find the forces at A, C, and E on the bar ACE. The weight at B is 100 lbs.

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2 TAM 210/211 - Lecture 16 © 2008 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 2 of 14 Example 2 Find the forces at A, C, and E on the bar ACE. The weight at B is 100 lbs. TAM 210/211 - Lecture 16 © 2008 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 3 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