Bolt Stretching
Bolt stretch according Hooke's 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
- stud diameter : 7/8 inches
- thread pitch : 9
- Young's Modulus : 30 106 psi
- design bolt load : 10000 lbs
- effective length : 5 inches
Tensile stress area can be calculated as
A = 0.7854 ((7/8 in) - 0.9743/9)2
= 0.46 (in2)
Change of length can be calculated as
dl = (10000 lb) (5 in) / ((30 106 psi) (0.46 in2))
= 0.0036 (inches)
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