Discussion
The simply supported beam shown in the figure is -
Answer: B
The beam is Determinate and unstable.
With rollers at both A and B, each support can only provide a reaction perpendicular to the beam, so there are just two unknown reactions, both vertical. The two vertical equilibrium conditions (forces and moments) find them, so in that sense the beam is determinate.
But the inclined load W has a horizontal component W cos θ along the beam, and no support can resist horizontal force. Horizontal equilibrium cannot be satisfied, so the beam would slide: it is unstable. A hinge at one end would make it a stable, determinate simply supported beam. It is not indeterminate, since it has fewer reactions than equations.
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