(a)
Find the force in the spring and the vertical motion of point G when a vertical load of
(a)
Answer to Problem 10.5P
The force in the spring is
The vertical motion of point G is
Explanation of Solution
Given information:
The spring constant is
Calculation:
Show the free-body diagram of the spring assembly as in Figure 1.
Write the relation of the deflections at point G, H, F, E, D with C as follows;
The deflection
Assume the spring force Q is in tension.
Find the force in the spring Q using the relation.
Here, the spring constant is k.
Substitute
Use the virtual work principle:
Here,
Substitute 120 N for C,
The spring force Q is in compression. The assumption is incorrect.
Therefore, the force in the spring is
Substitute –60 N for Q in Equation (1).
Find the vertical motion
Substitute –2 mm for
Therefore, the vertical motion of point G is
(b)
Find the force in the spring and the vertical motion of point G when a vertical load of
(b)
Answer to Problem 10.5P
The force in the spring is
The vertical motion of point G is
Explanation of Solution
Given information:
The spring constant is
Calculation:
Use the virtual work principle:
Here,
Substitute 120 N for C,
The spring force Q is in compression. The assumption is incorrect.
Therefore, the force in the spring is
Substitute –300 N for Q in Equation (1).
Find the vertical motion
Substitute –10 mm for
Therefore, the vertical motion of point G is
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Chapter 10 Solutions
Vector Mechanics for Engineers: Statics and Dynamics