For the distributed loads shown (System 1). a) Reduce the distributed loads to three concentrated forces and specify where each force acts along the beam (System 2). b) Reduce the system to an equivalent force and moment at A (System 3). c) How do we know that the simplest resultant exists? d) Draw the simplest resultant (a single force that produces the same moment about A). Note: Draw and label each system

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Laws of Equilibrium

A body is said to be in equilibrium if the system of forces acting on the body tends to keep the body at rest, in other words, there is no translation motion or net torque on the body. Under such conditions, the equilibrium conditions are to be applied to analyze the condition. The branch of mechanics that deals with this condition is known as 'statics'. Under equilibrium, there are no net forces on the body.