Nuts and Bolt Matcher 3000

Johan v Meel

Elmar Keij

Nabil el Boustani

Nuts and Bolt Matcher 3000

• Specify the input for the software• Bolt Specification• Nut Specification• Thread Specification

• Specify how to determine output• Match Specification

Bolt Specification

A bolt consists of three parts:• a head• a shank (optional)• a threadThis specification will not handle the head of a bolt.

head shank thread

• Lengths• Diameters• Thread Type

– Right handed unless otherwise stated is the norm

• Thread specification– Will be discussed in the thread

specification section a b

c

a. Shank length

b. Thread length

c. Nominal length

T. Thread DiameterS. Shank DiameterR. Root Diameter

thread bodyholeParts:• a body• a thread• a hole

• Diameters• Height• Thread Type

– Right handed unless otherwise stated is the norm

• Thread specification– Will be discussed in the thread

specification section

Nut Specification

R

T

T Thread DiameterR Root Diameter

height

Thread Specification

• Threads per cm• Thread Angle• Thread Width

– A = max– B = min– B >= 2/3 A

• Thread Depth– C = max– D = min– D >= 2/3 C

• Thread Shape

60˚

A

B

D

C

T

Match specification

• Definitions– H = thread type (handedness)– l = the length of the bolt– h = the height of the nut– t = threads per cm– a = thread angle

• A nut will fit on a bolt if the following predicates are true. – H of the bolt = H of the nut– t of the bolt = t of the nut– a of the bolt = a of the nut– l > h

Match specification• Definitions:

– d1 = the bolt’s max thread diameter– d’1 = the bolt’s min thread diameter – d2 = the nut’s max root diameter– d’2 = the nut’s min root diameter– d3 = the nut’s max thread diameter– w1 = the bolt’s max thread width– w’1 = the bolt’s min thread width– w2 = the nut’s max thread width– w’2 = the nut’s min thread width

d'1

d1

w'1w1

d2

d'2

w'2w2

d3

RNT

RBT

r

Match specification• Definitions

– d1 = the bolt’s max thread diameter– d’1 = the bolt’s min thread diameter – d2 = the nut’s max root diameter– d’2 = the nut’s min root diameter– d3 = the nut’s max thread diameter

Formula:d2 < d1 + RNT ≤ d3 - RBT^ d2 < d1 – RNT ≤ d3 – RBT^ d2 < d’1 + RNT ≤ d3 – RBT^ d2 < d’1 – RNT ≤ d3 – RBT^ d3 < d2

^ r < d’2

Any questions?