The maximum shear force of a set of bolts is 1000 kN.
The ultimate shear stress is 750 MPa and the safety factor is 3.
The diameter of each bolt is 20 mm.
a) What is the maximum working shear stress in each bolt?
b) The cross sectional area of each bolt?
c) The maximum working force of each bolt?
The Attempt at a Solution
Radius = half of diameter = 10 mm = 1 cm = 0.01 m
Cross sectional area = pi*r^2 = 3.14*1^2 = 3.14 cm^2 = 0.0314 m^2
a) 1000 kN / 0.0314 = 31847133.76 Pa?
b) 3.14*1^2 = 3.14 cm^2 = 0.0314 m^2?
c) Force = Stress*Area = 31847133.76*0.0314 = 1000000 N = 1000 kN?
Is the above correct or do completely different formulas apply when it comes to shear stress and working force?