Bolt Stretching

Bolt stretch according Hookes Law

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Bolt stretching according Hook's Law can be expressed as

dl = F L / E A (1)

where

dl = change in length of bolt (inches, mm)

F = applied tensile load (lb, kN)

L = effective length of bolt where tensile strength is applied (inches, mm)

E = Young's Modulus of Elasticity (psi, N/mm2)

A = tensile stress area of bolt (square inches, mm2)

Tensile stress area can be expressed as

A = 0.7854 (d - 0.9743/n)2 (2)

where

d = nominal diameter of bolt (inches, mm)

n = number of threads per inch (pitch)

Example - Bolt Stretching

Tensile stress area can be calculated as

A = 0.7854 (7/8 - 0.9743/9)2

    = 0.46 (in2)

Change in length of bolt can be calculated as

dl = 10000  (lb) 5 (in) / (30 106 (psi) 0.46 (in2))

    = 0.0036 (inches)

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