A double riveted butt joint, in which the pitch of the rivets in the outer rows

Question

A double riveted butt joint, in which the pitch of the rivets in the outer rows is twice that in the inner rows, connects two 16 mm thick plates with two cover plates each 12 mm thick. The diameter of rivets is 22 mm. Determine the pitches of the rivets in the two rows if the working stresses are not to exceed the following limits: Tensile stress in plates = 100 MPa; Shear stress in rivets = 75 MPa; and bearing stress in rivets and plates = 150 MPa. Make a fully dimensioned sketch of the joint by showing at least two views. [Ans. 107 mm, 53.5 mm]

Explanation / Answer

Formula: tensile stress*(p-d)*thickness = 2* area *shear

Use Unwins formula for hole dia = 6* sqrt(t)

t = thickness of plate

since 2 rows and pitch outer = 2*inner , take 4 rivets per pitch

tensile stress (p-d) *t = 4* pi/4 * t^2 * shear stres

p =pi*d^2/t*(shear/tensile) +d

solving for p 84.8 + d = 84.8 + 20.8 ( for t =12 mm)

p= 105.6, 52.8  

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