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1.75 inch dia hole in a .75 inch plate of A36 steel. A force of 34000 lbs vertical to plane is applied to the hole. Use...

1.75 inch dia hole in a .75 inch plate of A36 steel. A force of 34000 lbs vertical to plane is applied to the hole. Use bearing stress to determine stress placed vertical to the plane and at 45 degrees to the plane

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SOLUTION:

Projected area for bearing stress : A = 1.75*0.75 = 1.3125 in2

Stress in the vertical plane = Sv = P/A = 34000/1.3125

Sv = 25904.76 psi : ANSWER

Now Sv is the principal stress in vertical direction.

Now stress in the plane 45 degree to the vertical plane = S = (Sv/2) + (Sv/2) cos( 2*45)

S = 25904.76/2 = 12952.38 psi

S = 12952.38 psi : ANSWER

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