Answer:
Force on the bolt = 24.525 kN
Force on the 1st hinge = 8.35 kN
Force on the 2nd hinge = 16.17 kN
Explanation:
Given:
height = 2 m
width =1 m
depth of the door from the water surface = 1.5 m
Therefore,
=1.5+1 = 2.5 m
Hydrostatic force acting on the door is
= 49050 N
= 49.05 kN
Now finding the Moment of inertia of the door about x axis
= 0.67
Now location of force,
= 2.634
Therefore, calculating the unknown forces
------------------(1)
Now since
∴
-----------------------(2)
From (1) and (2), we get
= 24.525 kN
This is the force on the Sliding bolt
Taking
=8.35 kN
This is the reaction force on the 1st hinge.
Now from (1), we get
=16.17 kN
This is the force on the 2nd hinge.