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Varignon's Theory Homework

Problem 1: Varignon's Theorem

Given a 15 foot tall wall that is loaded as indicted. (F = 100 pounds)
Determine the total moment acting at the base of the wall about point "O."


Problem 2: Varignon's Theorem
Given a massive concrete block sculpture (Force W = 96000 kips) that is supported by one cable and a column.
Determine the force in the cable using Varignon's Theorem.


Problem 3: Varignon's Theorem

Given a mass (Force W = 200 KN) is supported by one cable on the indicated structure.
Determine a) the total moment at the base of the structure; b) the force(s) at B which must act to put the system into equilibrium; c) the complete description of the resultant of the forces at B


Problem 4: Varignon's Theorem

Given the two force diagrams. The top diagram with one 500# force acting up and to the right applied along the line of action as indicated. The bottom diagram has one 340# force acting down and to the left also applied along the line of action indicated.

Allow the point of of application to vary from point A, to B, and to C. In each case, determine the magnitude of the moment and moment arm about "O."


Problem 5: Varignon's Theorem

Given the following truss with the loadings as indicated, determine the moment of each of the loads about point A; the combined moment of all of the loads about A; the required reaction at B in order to satisfy equilibrium.


© 1997, 1998 Chris H. Luebkeman