00:01
In this problem we have a truss this member is 2 meters also this member is 2 meters we have here 2 meters 2 meters and the diagonal here makes 30 degree with this member and we have here a roller and here a hinge this is point a b b c d we have two external forces p here and given the maximum tension force for each member maximum equals 5 kilo neutins and for the tension is 5 kilo maximum tension and maximum compression equals 5 kilo we want to determine the maximum magnitude of b that we can apply to this stress we can do so by getting the maximum internal forces out of these conditions here we want to make the members here at its maximum with the condition that each member should be smaller than 5 klinating if it was a tension member and to be smaller than 5 klinaten if it was compression the magnitude of the force in each member should be below 5 klinette.
02:01
We can use method of joints to make the equilibrium in each joint.
02:09
Let's start by the easiest joint here at joint c.
02:19
For the equilibrium in y direction, this is x and this is y.
02:26
Using the equilibrium in y direction, we can get p.
02:30
But we should first get the equilibrium in the x direction.
02:34
To get a relation between the force in dc and cb.
02:42
By logic, the force in cb must be compression force, must be in this direction, to be in equilibrium with p in y direction.
02:58
Then we should get dc in this direction to be in equilibrium with cb in x direction...