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

2024
Views:

90

Pages:

2
Author:

Quintin Ware

COSMOS: Complete Online Solutions Manual Organization System Chapter 6, Solution 115. (a) Member FBDs: FBD II: ΣFy = 0: FBD I: ΣM A = 0: By = 0 ΣM B = 0: aF2 = 0 aF2 − 2aP = 0 F2 = 0 but F2 = 0 so P = 0 not rigid for P ≠ 0 ! (b) Member FBDs: ( ) Note: 7 unknowns Ax , Ay , Bx , By , F1, F2 , C but only 6 independent equations. System is statically indeterminate ! System is, however, rigid ! (c) FBD whole: FBD right: 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: Complete Online Solutions Manual Organization System FBD I: ΣM A = 0: 5aBy − 2aP = 0 ΣFy = 0: Ay − P + FBD II: FBD I: ΣM c = 0: 2 P=0 5 By = Ay = a 5a Bx − By = 0 2 2 ΣFx = 0: Ax + Bx = 0 2 P 5 3 P 5 Bx = 5By Ax = − Bx B x = 2P A x = 2P A = 2.09P 16.70° ! B = 2.04P 11.31° ! System is rigid ! 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 115

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