The built-up wooden beam shown is subjected to a vertical shear of 8 kN. The nails are spaced longitudinally every 60 mm at A and every 25 mm at B. (Given: Ix = 1.504 × 109 mm4) Determine the shearing force in the nails at A. (Round the final answer to the nearest whole number.)

! Required information Three boards are nailed together to form a beam that is subjected to a vertical shear. Knowing that the allowable shearing force in each nail is 110 lb, determine the allowable vertical shear if the spacing s between the nails is 7 in. Assume a=2 in, b=4.5 in and c=6.5 in. a S $ 2 in. The centroidal moment of inertia is given as | (in 4)

A 0.75" diameter solid steel shaft is connected by the steel bolted coupling shown. The maximum allowable shear stress in the steel is 18 ksi (shaft and bolts). The coupling consists of steel bolts that are 1/8" diameter and the bolt holes are equally spaced and centered on a 4" diameter circle (2" radius from the center of the shaft to the center of a bolt hole). Determine a) The maximum torque that the shaft can carry Ans: /,491"* b) The number of bolts required for the torque in part a). Assume the bolts fail by shearing at the coupling interface and the shear stress is uniform across the bolt's cross sectional area.