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Headed anchor bolts under cyclic loads 3

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WARose

Structural
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I’ve got a situation where I will have some anchor bolts embedded in concrete that will be subjected to minor dynamic loads (unbalanced forces from a piece of equipment it is supporting). I’ve calculated their capacities as per Appendix D in ACI 318 and I’m going to take about 10% of that as the capacity under cyclic loads. I base that on some research I saw some years ago [for anchors under cyclic loads; part of a study for seismic considerations] that indicated this was the low end of their capacity.

So I guess my question is: has anyone seen more research on this? (I can’t find anywhere in the code that elaborates on this further. The thing that gets me on this is: if I got asked my source for my allowable……I really cannot cite something that is code.)
 
Are you able to use pretensioned bolts?
 
Yep, in fact that's probably what I am going to specify. But since it’s in concrete and the load will not be constant......that creates a fatigue range [in concrete] to consider. Section D.2.4 of Appendix D [of ACI 318] says explicitly that the code doesn't cover that. So I'm not sure where exactly to turn (other than trying to hunt down that old research I saw some years back).
 
My suggestions to you are

1. Drop the concept of using ratio=0.1 as it won't help with resolving the fatigue issue caused by cyclic load. It cannot be taken as a "reserve" in your design simply because it won’t help

2. Use pre-tensioned anchor bolt instead

3. Use friction, not bearing to transfer the shear

For anchor bolt design as per ACI 318-08, please check
 
2. Use pre-tensioned anchor bolt instead

3. Use friction, not bearing to transfer the shear

Something I think I wasn’t clear about before is: most of the unbalanced force is vertical. Therefore I don’t think you can eliminate it by having a high clamping force and transferring it by friction.
 
>> most of the unbalanced force is vertical

The hor. and ver. max amplitude of unbalanced force shall be the same because

Fv= me*omega^2*sin(omega*t)
Fh= me*omega^2*cos(omega*t)

For your case it's probably the unbalanced force is high above mounting skid so the overturn moment causes the big tensile load in anchor bolts, but anyway, here is some of the guidelines and references for you

PIP STE05121-2006 Anchor Bolt Design Guide

The advantages of pretensioning are as follows:

a. Can prevent stress reversals on anchors susceptible to fatigue weakening

b. May increase dampening for pulsating or vibrating equipment

c. Will decrease, to some extent, the drift for process towers under wind or
seismic load

d. Will increase the frictional shear resistance for process towers and other
equipment

ACI 351.3R-04 Foundations for Dynamic Equipment

From section 4.4.1.1 on page 45

4.4.1.1 Fatigue issues—For many dynamic equipment foundations, the cyclic stresses are small, and engineers choose to not perform any specific fatigue stress calculations. Other equipment can require more significant consideration of cyclic stresses. In such cases, ACI 215 provides guidance, particularly where the flexural characteristics of the founda- tion are most important.
Some of the methods used by firms to implicitly or explicitly address fatigue include:
• Proportioning sections to resist all conventional loads plus three times the dynamic load;
• Designing such that concrete modulus of rupture is not exceeded while including the inertial loads from the concrete motion. In certain cases, the computed modulus of rupture is reduced by 50% to approximate permissible stresses reduced for fatigue;
• Reducing by as much as 80% the strength reduction factors specified by ACI 318; and
• Recognizing that cracking is less likely in structures built with clean, straight lines and not having re-entrant corners and notches.

For anchor bolt design as per ACI 318-08, please check
From section 4.4.2.1 on page 46

4.4.2.1 Performance criteria/anchor bolts —The structural performance criteria for anchor bolts holding dynamic machinery require that sufficient clamping force be available to maintain the critical alignment of the machine. [red]The clamping force should allow smooth transmission of unbalanced machine forces into the foundation so that the machine and foundation can act as an integrated structure. Generally, higher clamping forces are preferred because high clamping forces result in less vibration being reflected back into the machine.[/red] In the presence of unbalanced forces, a machine that has a low clamping force (400 psi [2.8 MPa]) at the machine support points can vibrate more than the same machine with high clamping forces (1000 psi [7 MPa]). Precision machines in the machine tool industry sometimes have clamping forces as high as 2000 psi (14 MPa) to minimize “tool chatter.” [red]Instead of more refined data, designing for a clamping force that is 150% of the anticipated normal operating bolt force is good practice. A minimum anchor bolt clamping force of 15% of the bolt material yield strength is often used if specific values are not provided by the equipment manufacturer. Higher values are appropriate for more aggressive machines. Clamping force, also known as preload, is developed by pretensioning the anchor bolt.[/red]

4.4.2.2 Capacity—[red]The capacity of each anchor bolt should be greater than design loads to provide adequate reserve capacity.[/red] Conditions can change over time due to machine wear or changes in operating conditions. Properties as given in the cited ASTM standard specifications of the steels commonly used for anchor bolts are listed in Table 4.3 and 4.4. Because the number and diameter of anchor bolts are determined by the machine manufacturer, the engineer can maximize capacity by specifying the higher-strength steels. The practi- cable capacity of an anchor bolt is typically 80% of the yield strength, not the full tensile strength.

4.4.2.3 Anchor bolt preload—To avoid slippage under dynamic loads at any interface between the frame and chock and soleplate, or chock and foundation top surface, the normal force at the interface multiplied by the effective coefficient of friction must exceed the maximum horizontal dynamic force applied by the frame at the location of the tie-down.
 
Thanks for the info amec. The reason most of the unbalanced force is vertical is due to the fact it's a compressor. I thought the same thing you did but apparently [internally] that's how it works. (I confirmed that with the vendor.)
 
WARose....based on fatigue loading of concrete for pavement, if the stress levels are kept to less than 50 percent of the allowable (in a pavement, that would be the modulus of rupture...in your case it would be direct tension or shear-tension), then fatigue is generally not a consideration. Given the unknowns of your stress generation and the higher frequency of the loading, I would drop that to perhaps 25%.

The Portland Cement Association has some info on fatigue loading of concrete.
 
Look into DECO anchors. These are specially made to be pretentioned, provide high strength, and to allow flexibility for field fit up.
 
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