Scissors Jack Lift Calculation

In summary, a scissors jack lift works by using a screw mechanism and interconnected metal bars to lift objects. The lifting capacity can be calculated by multiplying the number of bars and their weight limit. The required torque can be determined using a specific formula. To ensure stability, the lift should be placed on a level surface and the weight should be evenly distributed. Common safety precautions include following manufacturer's instructions, regular inspection, and never placing body parts under the vehicle while lifted.
  • #1
rambo 3504
4
0

Homework Statement


What formula would I use to calculate the lift force of a Jack Screw
when I know the force exerted on the linear screw? It would be similar to the Jack used to lift a car.

Homework Equations

The Attempt at a Solution

 
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  • #2
Well, you could draw FBDs for the links and set it up as a conventional statics problem,
or,
you could do some kinematics and use virtual work. Your choice!
 
  • #3
Thanks Dr.D
 
  • #4
Here is a FB of my linkage.
 

Attachments

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  • #5

The formula you would use to calculate the lift force of a Jack Screw is the mechanical advantage formula, which is given by MA = Fout/Fin, where MA is the mechanical advantage, Fout is the output force (lift force), and Fin is the input force (force exerted on the linear screw). In this case, the input force would be the force applied to turn the screw, and the output force would be the force exerted to lift the object. To determine the specific formula to use, you would need to know the pitch of the screw, the diameter of the screw, and the coefficient of friction between the screw and the object being lifted. Once these values are known, you can use the formula MA = (π*d)/(π*p*tanθ + μ), where d is the diameter of the screw, p is the pitch of the screw, θ is the angle of the screw thread, and μ is the coefficient of friction. This formula takes into account the mechanical advantage of the screw and the effects of friction on the lift force. Therefore, by plugging in the known values, you can calculate the lift force of the Jack Screw.
 

1. How does a scissors jack lift work?

A scissors jack lift works by using a series of interconnected metal bars in a criss-cross formation, with a screw mechanism at the center. When the screw is turned, the bars expand and contract, causing the top platform to move up or down.

2. How do you calculate the lifting capacity of a scissors jack lift?

The lifting capacity of a scissors jack lift can be calculated by multiplying the number of bars on one side of the scissors by the weight limit of each bar. For example, if there are 4 bars on one side and each bar has a weight limit of 500 pounds, the lifting capacity would be 4 x 500 = 2,000 pounds.

3. What is the formula for determining the required torque for a scissors jack lift?

The formula for determining the required torque for a scissors jack lift is: Torque (in inch-pounds) = (Lifting Capacity x Distance from Center of Screw to End of Bar) / Number of Bars. This calculation takes into account the weight being lifted and the distance from the center of the screw to the end of the bar.

4. How do you ensure the stability of a scissors jack lift?

To ensure the stability of a scissors jack lift, it is important to use a level surface and to have the lift positioned on all four corners. Additionally, it is important to make sure the weight being lifted is evenly distributed and does not exceed the lifting capacity of the lift.

5. What are some common safety precautions when using a scissors jack lift?

Some common safety precautions when using a scissors jack lift include: always making sure the lift is on a stable and level surface, using wheel chocks to prevent the vehicle from rolling, not exceeding the lifting capacity of the lift, and always using the lift according to the manufacturer's instructions. It is also important to regularly inspect the lift for any signs of wear or damage and to never place any body parts under the vehicle while it is lifted.

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