METALLURGY - TMI (Too much information!)

What about the stiffness of high strength aluminums? 

Larry Robinson, a member of the Seattle East Coast 12 fleet brought up this question, and what follows is more than enough information on this subject. Larry was also good enough to review this for accuracy, which I appreciate.

The following is courtesy of a Senior Metallurgical Engineer at Tennalum, a division of Kaiser Aluminum, and closely follows Larry’s thinking.

There are really two issues, one of them is "stiffness" and the other is "strength". 

Stiffness is measured by Young's modulus, or modulus of elasticity.  Between 6061-T6 and 7075-T9 these values are nearly identical.  Modulus predicts how much metal deflects under load, as long as the load does not exceed the yield strength of the metal.  Modulus of elasticity for 6061 is 10,000 ksi and for 7075 is 10,400 ksi, or about 4% higher.  The modulus for an alloy is not affected by temper, which is designated by the T6 and T9 after the alloy numbers

Yield strength measures how much load the metal can withstand without taking a permanent set (deformation).  The 7075 will withstand much more load before becoming permanently deformed than 6061. 
If the stresses applied are not enough to permanently deform 6061, then the deflection, or bend, of the metal will be approximately the same whether you are using 6061 or 7075.

What about variations in manufacture or specifications? 

Larry adds that he found that for one commonly used extruded mast section; there was a modest difference in measured stiffness, which also corresponded to the weight of the section. It turns out that the dies used in the extrusion process wear substantially, thus the differences. With high grade tubes, such as those Easton sells for arrow shafts and such, one has to make sure that wall thickness as well as diameters are the same, in order to compare apples with apples. 

What does Duck Soup think of all this?

What we understand from this is if you want to avoid permanently deforming the tube, 7075 is a good choice, price and availability being equal, however if you want to put in some prebend the 7075 is nearly twice as hard to make take a set, but it will never become unbent.  This is due to the fact that the yield strength of 7075 is nearly twice as high as for 6061.

Our extremely rough calculations show that the point of maximum stress is where the jib stay attaches to the mast and the maximum static stress is between 20% and 25% of the yield strength of the 6061 material. This of course means no unforeseen additional forces such as a collision where mast tips of boats going opposite directions hooking, is taken into account. Of course if this hypothetical collision were to take place the forestays would probably break first.  

TESTS: Some samples of 7075 T-9, 1/2" .66 mm wall thickness, and 7/16" .76 mm wall thickness, (12.7mm and 11.1mm), were obtained and compared with a sample of SAILSetc 6061 T-6 tubing with a wall thickness of .68 mm. These tests were done by Don Ginther of Great Basin Model Yachting. A weight of 300 grams was placed at the free end of 600mm of tubing and the following results are probably good within 10%. Here is the result of a test of 1/2 inch diameter standard masts, not the SAILSetc groovy section:

  • 7075 T-9 12.7 mm dia. deflection=10 mm

  • 6061 T-6 12.7 mm dia. deflection=10 mm Sailsetc tubing

And as a comparison a 7/16 inch diameter section:

  • 7075 T-9 11.1 mm dia. deflection=13 mm 

It seems the stiffness is definitely a factor of diameter and wall thickness, not material, so, when purchasing our next mast, we will probably look at availability, delivery, price, color, and then look at the material. All things being equal,  we would opt for the 1/2-inch diameter for the #1 rig.

However, having said that, the location of the attachment point of the shrouds to the mast are a matter that needs study, if you want the rig to bend off in puffs, you need the top to bend off, so the stiffest mast might need lower shroud attachment points, or maybe the smaller diameter mast is the best choice. It is a puzzle?

There are some additional tests on Lester Gilbert's web site that are rather interesting, the section is Mast Stiffness, and are reproduced below. Note, Lester says, exactly 1000 mm projected freely (please note that in the tests above only 600 mm was projected for the weight). I then hung a 300 gm weight from the free end, and measured the deflection. (Note: you may get a request for a user name and password, but just cancel it)

11.1 mm dia SAILSetc "groovy", fore and aft deflection (ie in the plane of the groove): 62 mm

11.1 mm dia SAILSetc "groovy", sideways deflection (ie normal to the plane of the groove): 62 mm

11.1 mm dia SAILSetc plain round, deflection 54mm

12.7 mm dia SAILSetc "groovy", fore and aft deflection (ie in the plane of the groove): 43mm

12.7 mm dia SAILSetc "groovy", sideways deflection (ie normal to the plane of the groove): 39mm

12.7 mm dia SAILSetc plain round, deflection 39 mm

The 12.7 groovy has a wall thickness of 0.60 mm, while the 11.1 mm groovy section is 0.50 mm. These are both significantly thinner walls than the round tube, both of which have 0.70 mm wall thickness.

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01/09/2006