How is a force distributed in a lever pushing against multiple objects?
I am trying to calculte the minimum required strengths of a few parts in a construction a scouting group is building. However I cannot find details about how a levers force is distrubuted. Propose the following situation:
Line d represents a 16 meter long beam that is hanging over to the left by a total of 2 meters. Because d is not straight up it generates a torque. My question is: how is this torque distributed between beams a, b and c? Heights, weights and angles can be measured for this example, but I am mainly interrested in the method.
Does the center of gravity of d effect this? I assume d's center of gravity is at about 40% of it's height.
As a futher question: (how) does this change when the angle a beam, for example b is connected to d in a 45 degree angle instead of like 80 degrees?
I assume all beams are inflexible for this situation and there is no motion. I also assume that a, b and c are connected to a immovable object of infinite strength on the left side of the construction, to simplify this a little bit.
I am not sure if this matters, but in practice the connections from a, b and c to d will be able to rotate a small amount (let's say 5 degrees) in all directions.
I discussed this with a few different people and we all had different hypothosis, to name a few: 1. Maybe a gets a greater force applied, since the lever is smallest there. 1018
2. Maybe c gets a greater force applied, since the lever is largest there. 3. Maybe it starts rotating around the connection from b to d, making c being pushed while a is being pulled. 4. Maybe the force is equally distributed.
Now this might be a bit of a different question, this construction is build using wood which is an anisotropic material. Does the force applied by d have any impact on the maximum allowed force perpendicular to any of the beams a, b or c?
I am sorry for my English and probably wrong use of terminoligy, English is not my native language and I find translating terminoligy quite hard. 333