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gv3
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Homework Statement
[/B]The inclined ladder AB supports a house painter (85 kg) at C and the self weight (q = 40 N/m) of the ladder itself. Each ladder rail (tr = 4 mm) is supported by a shoe (ts = 5 mm) which is attached to the ladder rail by a bolt of diameter dp =8 mm.
1) Find support reactions at A and B.
2) Find the reultant force in the shoe bolt at A.
3) Find maximum average shear and bearing stresses in the shoe bolt at A.
(some units in the photo are incorrect. the written question has the correct values)
Homework Equations
T(tau)= V/A
The Attempt at a Solution
I was able to do 1 and 2.
1) Bx = 252.83N
Ax = 252.3N
Ay = 1150.1N
2) Resultant force at A = 1178N
Part 3 is where i am having trouble.
3) i used V = 1150.1N. The radius of the bolt is r = .004m. A = π(.004)2 = 5.026e-5m2
Now when i do V/A i get 22.88MPa but the correct answer is 5.86 MPa.
I suppose my error is in using 1150.1N as the shear force but why wouldn't it be 1150.1N if that's the only force acting in the Y direction at A?