You could view the FBD as something like this. Pb is the bolt tension load, keeping the two parts together, and Pa1 or Pa2 will be the abutment load, causing the prying load. Obviously there's internal pressure. The shear is due to the differential pressure load. There's bolt bending and there's...
At a first glance, the bolts will be unsupported over the shim thickness. Internal pressure will put the bolts into shear, and, due to the unsupported length, I'd suggest a bending calc'n. Due to internal pressure, the horizontal sections of the orange and blue parts will tend to bow radially...
I think this is part of the way to calculating the total deflection. This is just for bending, the horizontal beam will also have shear deflection and the vertical will have a compression displacement (section areas, E and G needed). 'Delta L' is 1/2 of the vertical column width.
I believe there's a similar 'extension' for LibreOffice, I think it's called iMath. I haven't used it as I use Mathcad, but I may have a look at it some time.
Just a pointer, you may think it's irrelevant. The joint is a preloaded bolt with material being clamped in the middle. If the clamped material was removed and a centrifugal force was applied, the nut would move vertically (assume zero rotation, fixed - fixed deflected shape, as though the mat'l...
If the design isn’t yet finalised, you may want to consider a clamp hinged on one side (pivot pin). Attached is a go at determining the band clamp bending and contact distribution for such a design. In the case of trying to reduce the bending over the bolted flange length, I can only suggest...
If friction is not overcome, then you can effectively assume the mating surfaces of the nut and clamped material are bonded (or fused). Then the force traversing the interface will enter the clamped material, causing a diminishing shear displacement through the thickness and (increasing shear...
Just as a side note, be mindful of the fact that due to the two bend radii (for following pipe curvature and at the sharp elbow bend at the flange to strap intersection), the true condition is a 'curved beam'. With low r/t ratios, such as at the elbow bend, the stress at the inner radius will...
After noting the suggestion to have a small gap, or a gap to control the level of clamping force, I've tweaked the calculations so that a gap size can be given. Allowing the gap to close will permit the top and bottom clamp flanges to come into contact, thus creating an additional prying load...
The attachment hasn't been checked but it may give you some ideas on how to derive the reaction forces between the band clamp and the pipe due to bolt preloading. As stated previously, contact bearing pressure can be quite variable.
Edit 1 - Added update to calculations, now gives band clamp...
This is just one possible way of working out the loading on the clamp block. At the end, the point reaction loads can be used to come up with a distributed loading on the hole surface, which can then be used to calculate a final bending moment. Hope it gives you some ideas.
Edit - Looks like...
I recall some Structural Repair Manuals (SRM's) stating a size of blend (rectangular surface area and depth) and a minimum defined distance between blends. Any blending that falls within this size and spacing criteria is considered structurally acceptable, and only to report any blending that...
From a concessions / repairs background, we would receive reports identifying the locations along threaded joints where blending had been carried out to remove corrosion / damage, etc. These blending locations could be anywhere along the threads. I could see the potential for using a go/no-go...
As a suggestion, you can put a procedure in place where the MRO supplies you with a report identifying the region of the threads that have been blended to remove corrosion / impact damage etc, such as a circumferential length of each damaged thread. I'm sure this will also include an appropriate...
There are a number of ways you can model this clamp. It also depends on what software tools you want to use for the calculations.
If you wanted to do this by hand, I would suggest Mathcad. It also depends on how much simplification you want to apply.
This is just one suggested approach. The...
The amount of interference needed I think will be defined by what type of loading it's going to see. What are the operational loads? For this type of joint, you can calculate the radial interference pressure seen at the contacting surfaces. This and friction are the only things that will be...
The aspect I've noted may not be relevant / significant, but would you need to take into account that bolts in the round base plate placed on a circular line will have different radial distances to the rectangular column, and, as such, wouldn't the bolts closer to the rectangular corners pick up...
