The hanger at B is held by 10 nails against a column. Determine (a) the shear force, V (in N)and (b) the minimum required diameter (in mm) of each nail if its working shear stress is 110 MPa. Its factor of safety is 2 against a shear failure. Show complete FBD (with equivalent forces for distributed load). 400 N/m 300 N/m A B 6m 2m
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- The shear stresses t in a rectangular beam arc given by Eq. (5-43): in which Fis the shear force, / is the moment of inertia of the cross-sectional area, /lis the height of the beam, and i] is the distance from the neutral axis to the point where the shear stress is being determined (Fig. 5-32). By integrating over the cross-sectional area, show that the resultant of the shear stresses is equal to the shear force V.A tie-down on the deck of a sailboat consists of a bent bar boiled at both ends, as shown in the figure. The diameter dBof the bar is 1/4 in., the diameter D Wof the washers is 7/8 in., and the thickness is of the fiberglass deck is 3/8 in. If the allowable shear stress in the fiberglass is 300 psi, and the allowable bearing pressure between the washer and the fiberglass is 550 psi, what is the allowable load P allowon the tie-down?A circular pole is subjected to linearly varying distributed force with maximum intensity t0. Calculate the diameter daof the pole if the maximum allowable shear stress for the pole is 75 M Pa.
- The hollow drill pipe for an oil well (sec figure) is 6,2 in. in outer diameter and 0.75 in. in thickness. Just above the bit, the compressive force in the pipe (due to the weight of the pipe) is 62 kips and the torque (due to drilling) is 185 kip-in. Determine the maximum tensile, compressive, and shear stresses in the drill pipe.Two bolts are used to lap joints two steel plates. The tensile force on the plate is 40 kN. Determine the required diameter of the bolts if the failure shear stress of the bolts is 350 MPa. Use a factor of safety for shear equal to 2.5.(D) The pin used at B has an ultimate shear strength of 58 ksi. If a factor of safety of 2.5 is required, determine the allowable shear stress in this pin. in ksi (E) The pin used at B is a double shear pin connection. Determine the minimum pin cross-sectional area, and the corresponding minimum pin diameter that can be used at B. (Amin IN in.2 and dpin IN in.) (F) Determine the deformations in rods (1), (2), and (3) when load P equals Pmax from Letter C. ANSWERS in inch (G) Using the results from Letter F, determine the deflections of Joint B and Point D. ANSWERS in inch
- The solid steel rod (1) has an allowable shear stress of 12 ksi. The brass tube (2) has an allowable shear stress of 5 ksi. The diameter of the rod is d1 = 0.625 in. The outside diameter of the tube is D2 = 1.625 in., and its wall thickness is t2 = 0.125 in. The tube is attached to a fixed plate at C, and both the rod and the tube are welded to a rigid end plate at B. Determine the largest torque Tmax that can be applied at the upper end of the steel rod.The d = 12-mm-diameter solid rod passes through a D = 17-mm-diameter hole in the support plate. When a load P is applied to the rod, the rod head rests on the support plate. The support plate has a thickness of b = 13 mm. The rod head has a diameter of a = 24 mm, and the head has a thickness of t = 9 mm. The shear stress in the rod head cannot exceed 130 MPa, the punching shear stress in the support plate cannot exceed 85 MPa, and the bearing stress between the rod head and the support plate cannot exceed 130 MPa. Determine the maximum value of Pmax that can be supported by the structure.Two forces, each of magnitude P, are applied to the wrench. The diameter of the steel shaft AB is 30mm. Determine the largest allowable value of P if the shear stress in the shaft is not to exceed 120MPa and it's angle of twist is limited to 7deg. Use G=83GPa for steel. -Draw and label the diagram correctly, No diagram in the solution will be marked wrong. -Shortcut solution will be marked wrong.
- Two pieces of steel are connected by a pin screw 0.27 in a diameter. Determine the maximum T-force in lb that this system can withstand if the screw has a shear capacity of 26.5 ksi and a safety factor of 1.6 is desired.For a lap joint, determine the maximum safe load P which may be applied if the shearing stress in the rivets is limited to 60 MPa, the bearing stress in the plates to 110 MPa, and the average tensile stress in the plate to 140 MPaTwo pipes were connected by a flanged bolt coupling. The material properties are as follows: For outer bolts, 12 pieces, 16 mm diameter, on a mean radius of 150 mm, G = 28 GPa. For the inner bolts, 8 pieces, 12 mm diameter, on a mean radius of 100 mm, G = 20 GPa. Determine the total torque of the system if the shearing stress is limited to 30 MPa in the bolts. (Draw also the FBD) with complete solution