5. Determine he shear stress in the most heavily loaded 7/8-in-daimeter rivet in the joint shown in Fig. 5. T= 20 000 lb Centroid of connector group 20 deg. e = 2 in +3 in +3 in + 3 in
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- , Solve the preceding problem using the numerical data: /) = 90mm, h = 280 mm, d = 210 mm, q = 14 kN/m, and L = L2 m.The axial stresses are 12 MPa C in the wood post B and 150 MPa T in the steel bar A as shown below. Pins at A, C, and D are smooth. Determine (a)The load P.(b)The minimum diameter for pin C if it is in single shear and the cross-shearing stress is limited to 70 MPa.(c)The minimum diameter for pin D if it is in double shear and the cross-shearing stress is limited to 70 MPa.A flange coupling connects two shafts in order to transmit 250 kW at 100 rpm. It uses 6 bolts with a diameter of 20 mm located at a 210 mm bolt circle diameter. Determine the flange thickness if the bearing stress on the flange is 95 MPa. A. 10 mm B. 20 mm C. 25 mm D. 30 mm
- The rivet group connects two narrow lengths of plate, one of which carries a 15 kN load. If the ultimate shear strength t of a rivet is 350 N/mm² and its failure strength in compression stress is 600 N/mm², determine the minimum allowable values of rivet diameter d (mm) and plate thickness t (mm).The lap joint is fastened by 20 mm rivets placed alongside each other as shown along the length of the plate. Determine the safety of the lap joint to carry an axial load P=180 KN 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 is limited to 140 MPa. Plate width, W=140 mm, splice plate thickness, t=15 mm and main plate thickness, t = 40 mm. P = 180 KNThe horizontal bar shown is pinned at O and is supported with a helical springat L1 from O. L1=2m, L2=1m. The spring has 30 turns and the diameter of the wire usedis 20mm. The diameter of the spring is 125mm. Modulus of Rigidity = 83GPa. Determine the shear stress of the helical spring loaded as shown if w = 25kN/m.
- The pipe assembly shown is subjected to a force F = 400 N. The pipe has an inner diameter of 20 mm and an outer diameter of 30 mm. It is made of steel with Sy = 250 MPa. Determine the safety factor at point A using the maximum shear stress theory. Select one: a. NA = 1.843 b. NA = 3.224 c. NA = 2.580 d. NA = 4.299The 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 = 16-mm-diameter solid rod passes through a D = 21-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 = 10 mm. The rod head has a diameter of a = 32 mm, and the head has a thickness of t = 10 mm. The shear stress in the rod head cannot exceed 140 MPa, the punching shear stress in the support plate cannot exceed 90 MPa, and the bearing stress between the rod head and the support plate cannot exceed 125 MPa. Determine the maximum value of Pmax that can be supported by the structure.
- 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 MPaPipe (2) is supported by a pin at bracket C and by tie rod (1). The structure supports a load P at pin B. Tie rod (1) has a diameter of 15 mm and an allowable normal stress of 115 MPa. Pipe (2) has an outside diameter of 58 mm, a wall thickness of 3 mm, and an allowable normal stress of 65 MPa. Assume x3 = 3.7 m, x2 = 1.5 m, and y; = 4.1 m, Determine the maximum load Pmax that can be supported by the structure without exceeding either allowable normal stressThe rectangular bar is connected to the support bracket with a 11-mm-diameter pin. The bar width is w = 60 mm and the bar thickness is 10 mm. Each side of the bracket has the same dimensions as the bar. The average shear stress in the pin cannot exceed 120 MPa, the bearing stress in the bar cannot exceed 120 MPa, and the bearing stress in the bracket cannot exceed 120 MPa. Determine the maximum value of Pmax that can be supported by the structure.