Calculations for a lifting tool for a bar

In summary, a 10 meter long and 10 mm in diameter steel bar is very flexible and hard to manipulate. A lifting tool will be used to attach to the vertical bar and the vertical stroke of the tool will be more than 10 meters. The bar will be transported to the side and will not experience transverse forces such as torsion or shear. The tool could be made to operate like a cam, or a tapered collet, where the force applied against the bottom of the head is multiplied mechanically, to pinch the bar below the head, with a greater force than is applied by the head.
  • #1
oblong-pea
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TL;DR Summary
Is the analysis for this lifting tool as simple as?
I'm designing a lifting tool for a bar with a flared head. The bar is say 10m long and 10mm in diameter with a head on the top that is 20mm in diameter and 10mm thick. There is a fillet from the head to the bar of 2mm (for reducing stress concentrations).
The bar will be lifted vertically and then transported to the side. Therefore i'm not expecting transverse forces such as torsion or shear.
I'm trying to do some FEA and hand calcs on designs for lifting tools and the below seems too simple?

I tend to second guess myself but is it as simple as: P=F/A
Where F = the weight of the bar x 9.81 for a force
and A = The area under the flared head which is engaged with a lifting tool?

Much appreciated
 
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  • #2
A bar that is 10 meters long and 10 mm in diameter is a very flexible and hard to manipulate bar.

Steel bar?
How will your lifting tool attach to the vertical bar?
Will the vertical stroke of the tool be more than 10 meters?
How fast and jerky the vertical and horizontal movements will be?
 
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  • #3
Lnewqban said:
A bar that is 10 meters long and 10 mm in diameter is a very flexible and hard to manipulate bar.

Steel bar?
How will your lifting tool attach to the vertical bar?
Will the vertical stroke of the tool be more than 10 meters?
How fast and jerky the vertical and horizontal movements will be?
Thanks for the reply

It will be steel, and I'm planning to use a system that goes around the disc/ flared head and clamps underneath (lifting from the underside of the disc) and lifts up from there. I'm aiming to make it something that connects to a crane or similar system so it's hoisted up; where the stroke would be more than 10m, possibly 12m giving 2m clearance.

The bar is in a guide tube, so shouldn't jerk when be removed until its clear of this guide tube, however its indoors so there won't be any wind considerations.
 
  • #4
Once out of the guide, the bar will start sideways movement on its own, even in zero wind conditions.
It is a natural oscillation that becomes an S-shaped oscillation with one or more nodes.
All depends on the natural oscillation frequency of the bar.

In that case, I recommend you grabbing the head in such a way that it is free to tilt in all directions.
That would eliminate any deformation due to transferred moment from those oscillations.
A way of restraining those oscillation by means of cords manipulated by a worker, or other way, is also recommendable.
 
  • #5
oblong-pea said:
The bar is say 10m long and 10mm in diameter with a head on the top that is 20mm in diameter and 10mm thick. There is a fillet from the head to the bar of 2mm (for reducing stress concentrations).
I assume the bar remains vertical throughout the lifting operation.

The tool could be made to operate like a cam, or a tapered collet, where the force applied against the bottom of the head is multiplied mechanically, to pinch the bar below the head, with a greater force than is applied by the head.
 
  • #6
Thanks for the replies and guidance, really appreciated.

I am still struggling to clarify how to calculate the forces on the head though. If I were to use a collet or similar and lift from under the head, is the stress simply F/A? And is it purely compression on the under side?
Many thanks
 
  • #7
Lifting by compression against the underside of the head becomes tension in the bar. The tension will be focussed on the fillet below the head. The failure mode would probably be by shearing along a conical surface that intersects the fillet. Once the stress reaches the bar shank, it will be F/A.

The advantage of a collet is that it clamps onto the shank of the bar, using the head as a position reference. The head only needs to carry the forces that activate the collet during the attachment. The head does not then need a step with a fillet, it only requires a conical taper that is steeper than the collet taper. It is easier to upset and spread the end of the bar than it is to form a flat head step. The length of the collet can be made sufficient, such that the tension in the rod rises gradually to F/A.
The critical included angle of the collet taper is the arc tangent of the friction coefficient between the bar and collet. A steeper collet taper will release easily, while a more gentle taper will lock, requiring a reverse impact to break the grip, that may have safety implications.
 

FAQ: Calculations for a lifting tool for a bar

What factors should be considered when calculating the load capacity of a lifting tool for a bar?

When calculating the load capacity of a lifting tool for a bar, you should consider the weight of the bar, the material of the bar, the length of the bar, the distribution of the load along the bar, and the safety factors. Additionally, the lifting tool's design, including the strength of its materials and the type of lifting mechanism, should be taken into account.

How do you determine the appropriate safety factor for a lifting tool?

The appropriate safety factor for a lifting tool is determined based on industry standards, the type of load being lifted, the environment in which the tool will be used, and the potential risks associated with failure. Common safety factors range from 4:1 to 6:1, but this can vary depending on specific regulations and the criticality of the application.

What equations are commonly used in the design of a lifting tool for a bar?

Common equations used in the design of a lifting tool for a bar include the calculation of bending stress (σ = My/I), shear stress (τ = VQ/It), and deflection (δ = PL^3/48EI for a simply supported beam). Additionally, the calculation of the lifting tool's capacity often involves the use of the ultimate tensile strength and yield strength of the materials used.

How do you calculate the center of gravity for a bar being lifted?

To calculate the center of gravity for a bar being lifted, you need to determine the point at which the bar's weight is evenly distributed. For a uniform, straight bar, the center of gravity is at the midpoint of its length. For non-uniform bars, you can use the formula \( x_{cg} = \frac{\sum (x_i \cdot w_i)}{\sum w_i} \), where \( x_i \) is the position of each segment and \( w_i \) is the weight of each segment.

What materials are best suited for constructing a lifting tool for a bar?

The best materials for constructing a lifting tool for a bar are those that offer a high strength-to-weight ratio, corrosion resistance, and durability. Common materials include high-strength steel, aluminum alloys, and sometimes composite materials. The choice of material depends on the specific application, environmental conditions, and load requirements.

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