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Example - Analysis of a Frame/Machine

A couple, M, of magnitude of 1.5 kN m is applied to the crank, AB, which is pinned to the connecting rod, BC, and to the piston shown below. Determine the force, P, required to hold this assembly in equilibrium. Data: d = 50 mm, e = 75 mm, f = 175 mm, and

M = 1.5 kNm.

Recall the Strategy

Draw a FBD of the entire system and write the equations of equilibrium.

Isolate individual members of the system, as needed, construct a FBD, and

write the equations of equilibrium for these members.

Identify the unknowns in the equations of equilibrium. The total number of unknowns must equal the total number of equations of equilibrium in order to obtain a solution.

Solve the system of equations for the desired unknown forces or moments.

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