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Mechanics of Materials

Question: Two full-size 2x6 inch planks are connected as shown by lag screws to form a beam which is subject to a vertical shear of 400 lb. Knowing that the allowable shearing force is 360 lb in each lag screw, how would I determine the largest permissible longitudinal spacing (s) of the lag screws, and the maximum shearing stress on the beam?

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This concerns analysis of the shear stress at the outer most fasteners from the centroid of the fastener grouping. The analysis is an included attachment. Schaum's outline was helpful in resolving this problem.

The line of action for this configuration is eccentric to the centroid by the distance e = 3"

The moment Pe will produce a shear force on the connectors, value of the ...

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