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Dakota Ultrasonics
For bolts with complex geometry, the areas should be estimated by averaging each
individual area and length. In the case of a hollow fastener, the area of the hole must
be subtracted from the overall area. The area of a fastener with complex geometry
can be estimated as follows:
The value for the Modulus of Elasticity, or Young's Modulus, should be provided
directly from the manufacturer of the bolts.
E = Modulus of Elasticity of the Bolt Material
The effective length is the average length of the fastener under stress when a load is applied.
For an applied constant load, the elongation of a fastener is directly proportional to the
effective length. Therefore, errors in the effective length will result in load errors by a
proportional amount. The effective length of a fastener is a combination of the actual clamp
length of the joint being fastened, plus that area of stress found in the head, nut(s), and or
blind hole of the fastener.
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AL
A
AVG
L
Average Area
C L A M P L E N G T H
E F F E C T I V E L E N G T H
E FFE C T IV E LE N G T H
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A = Area of a region
L = Length of a region
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