Optimizing Double Shear Bolt Design for Safe Load Bearing: A Case Study

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dilipdboss
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1. Homework Statement
A tensile load of 40KN is applied on a double shear joint. Design a bolt that holds the members safely without any kind of failure. A UTS 1250 class steel [allowable stress = 1080 MPa, Ultimate strength = 1250 MPa] bolt is used and the members (lugs) are made of AA2014 alloy [allowable stress=380 MPa, Ultimate strength = 420 MPa].

2. Homework Equations
shear failure: sigmaS = P/(2*A)
tensile failure: sigmaT = P/2*(w-d)
bearing failure: sigmaBR = P/(d*t)


thanx for the help.
 
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One way of doing a 'design' like this is to try something. Try, say diameter = 20 mm and see what loads it can carry in double shear and bearing. decide which of these is critical. Compare that with the requirements of the question, and adjust accordingly.