A vertical channel as shown has a cantilever beam bolted to

A vertical channel as shown has a cantilever beam bolted to it. The beam is attached to the channel using three M10 times 1.5 ISO 5.8 bolts. There is no preload on the bolts. Considering the failure mode to be static yielding in shear, based on maximum shear stress theory, and with a factor of safety of 1.7, calculate the safe force F that can be applied, in Newton. All dimensions shown are in mm. Answer:

Solution

yield strength of bolts = 57 ksi

shear strenth = yield strength / 2 = 28.5 ksi

dia = 0.3937 in

Moment balance on channel we get

(28.5/1.7) * pi * 0.3937^2 /4 * ( 26 + 76 + 126 )   = F * 125

F = 3.722 kips