Imagine a structure with no stength in tension and lots of strength in compression (the opposite of a spoke in this example, a wall) with no cement.
Normaly the wall is fine. The forces act directly through the middle of it.
Push on it and the imaginary line the force travels down moves towards the edge. Once it gets about 2/3 of the way accross the wall falls over as 1/3 +1/3 either side of the line is in compression, but the 1/3 furthest from the line is in tension, and falls appart. This also applies to loading the top of the wall, if you put an off center weight on the wall it will fall over even if the COG is within the wall itself.
To counteract this dams and other structures can have steel tie rods/cables tensioning them top to bottom to keep back the water. This does the job of the spokes in the wheel.