Factor of safety for 8mm bolt under 9kN at 50 degrees

[Ben_Walker1978]

Homework Statement

Hello. I am trying to work out, the tensile stress, shear stress, and factor of safety.
I have these to apply to it.
Tensile strength = 460MPa
Shear Stress = 280MPa
Bolt Diameter of 8mm
Force of 9kN
Angle (a) = 50 degrees.

Homework Equations

Diagram[/B]

The Attempt at a Solution

Attempt at solution is attached below.
Is what i done correct?
And the correct answers?
Thanks.
Ben.

 

[PhanthomJay]

Your conversion from mm^2 to m^2 is off by a multiple. And your calculation for bolt area is not correct. Otherwise, your force breakdown into shear and tension components looks good, and your FOS calcs should be ok once you make the above corrections. Note, however, that bolts subjected to shear and tension at the same time are weaker than individually applied shear and tensile loads of the same values, and you need to calculate the overall safety factor differently.. I don't believe the problem is asking you to do this, but it is not clear.