Torque Calculation to Open A Door

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SUMMARY

This discussion focuses on calculating the torque required to open a side-opening door weighing a specified amount and its geometry. Key calculations involve determining the friction torque from hinge materials, angular acceleration, and angular velocity to achieve a 110-degree opening in 4 seconds. The total torque needed combines the torque to overcome friction and the torque required for acceleration, factoring in the door's weight, center of gravity, and hinge geometry. Power is defined as torque multiplied by rotational velocity, which is essential for determining the overall energy required for the door's motion.

PREREQUISITES
  • Understanding of torque and its relation to force and distance from a pivot
  • Knowledge of angular acceleration and velocity calculations
  • Familiarity with friction coefficients and their impact on mechanical systems
  • Basic principles of rotational dynamics and power calculations
NEXT STEPS
  • Calculate the friction torque using hinge material properties and geometry
  • Learn how to derive angular acceleration from desired motion parameters
  • Explore the relationship between torque, power, and rotational velocity in mechanical systems
  • Investigate methods for minimizing energy losses in mechanical movements
USEFUL FOR

Mechanical engineers, robotics developers, and anyone involved in designing or analyzing door mechanisms and rotational systems will benefit from this discussion.

yanikomer
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Lets assume that we have a door, we know its weight, its geometry, we can calculate its inertia. It is a side opening door, from the materials for the hinge parts we can find the needed friction torque.

We want the door to be open for example 110 degrees in 4 seconds. what are the other calculations that we have to do in order to obtain a torque that is needed to open this door ?

Thanks very much...
 
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power is torque times rotational velocity, power is also work done * rotational velocity in rads/s, i haven't thought to hard about it, but surely that brings into account, speed, you can calculate the distance moved from the width of the door, and the angle you want to move it through - work done, torque is in there, and torque is just the force required to move the door times the distance from the pivot, shouldn't be that difficult from now
 
I suggest you to adopt linear angular acceleration\deceleration phases with constant angular velocity in-between and ignore energy losses related to the interaction with the surrounding air or other fluid, hence considering the only parasitic resistance to movement is the hinge friction.

Assign a time period for acceleration\deceleration phases and deduce the remaining time from the 4 seconds limit, also estimate the angular range for each phase based on the time divisions you assigned.

Calculate both the angular acceleration and the angular velocity to achieve the required 4 seconds.

Workout the required torque to keep the door moving against the friction losses based on the door weight, center of gravity, the hinge parts geometry and material friction coefficient.

Workout the required torque to accelerate the door based solely on the mass inertia and angular acceleration.

Now you can add up both torques for your answer and calculate the required power considering both torques and the maximum angular velocity, if you wish.
 

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