University:
Michigan State University
Course:
ERG 160 | Success in Science, Technology, Engineering, and Mathematics
Academic year:

2024
Views:

188

Pages:

1
Author:

Madelyn Bradshaw

COSMOS: Complete Online Solutions Manual Organization System Chapter 6, Solution 71. Structure (a): Structure (b): Structure (c): Simple truss with r = 4, m = 16, n = 10 So m + r = 20 = 2n so completely constrained and determinate ! Compound truss with r = 3, m = 16, n = 10 so So m + r = 19 < 2n = 20 partially constrained ! Non-simple truss with r = 4, m = 12, n = 8 So m + r = 16 = 2n but must examine further, note that reaction forces A x and H x are aligned, so no equilibrium equation will resolve them. Also consider ∴ Statically indeterminate ! For ΣFy = 0: H y = 0, but then ΣM A ≠ 0 in FBD Truss, ∴ Improperly constrained ! Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr., Elliot R. Eisenberg, William E. Clausen, David Mazurek, Phillip J. Cornwell © 2007 The McGraw-Hill Companies.

COSMOS Chapter 6 Solution 71

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