As shown, the pin-connected mechanism has an applied force with magnitude P = 10

Question

As shown, the pin-connected mechanism has an applied force with magnitude P = 10.8 lb and applied couple moments M1 = 12.3 lb?ft and M2 = 15.0 lb?ft . (Figure 1) Each link's dimension is L = 1.00 ft and the spring's stiffness is k = 50.0 lb/ft . The spring is unstretched when ?=0.000? and maintains a vertical position due to the roller.

For the mechanism, find expressions for ?yB and ?yC, the virtual displacements of joints B and C, respectively, in terms of the angle, ?; the virtual rotation, ??; and the length, L. Neglect the weight of the links.

Express your answers in terms of ?, ??, and L separated by a comma.

Explanation / Answer

Tthe expressions for yB and yC are expressed as follows:

For the deflection at B yB = Lcos

For the deflection at C yC = Lcos

Hence, B yB , yC = Lcos , Lcos

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